GCSE (9-1) Mathematicsiacmaths.weebly.com/.../7/16775648/specimen_papers_set_2.pdfIntroduction These...
Transcript of GCSE (9-1) Mathematicsiacmaths.weebly.com/.../7/16775648/specimen_papers_set_2.pdfIntroduction These...
GCSE (9-1) Mathematics
SPECIMEN PAPERS SET 2Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics (1MA1)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
ii
Contents
Introduction 1
General marking guidance 3
Paper 1F – specimen paper and mark scheme 7
Paper 2F – specimen paper and mark scheme 31
Paper 3F – specimen paper and mark scheme 67
Paper 1H – specimen paper and mark scheme 97
Paper 2H – specimen paper and mark scheme 121
Paper 3H – specimen paper and mark scheme 153
References to third party materials in these specimen papers are made in good faith.
Pearson does not endorse, approve or accept responsibility for the content of materials,
which may be subject to change, or any opinions expressed therein. (Material may include
textbooks, journals, magazines and other publications and websites.)
All information in this document is correct at time of publication.
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
iii
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
iv
Introduction
These specimen papers have been produced to complement the sample assessment materials for Pearson Edexcel Level 1/ Level 2 GCSE (9-1) in Mathematics and are designed to provide extra practice for your students. The specimen papers are part of a suite of support materials offered by Pearson.
The specimen papers do not form part of the accredited materials for this qualification.
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
11Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
22 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
33Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
General marking guidance These notes offer general guidance, but the specific notes for examiners appertaining to individual questions take precedence. 1 All candidates must receive the same treatment. Examiners must mark the last
candidate in exactly the same way as they mark the first.
Where some judgement is required, mark schemes will provide the principles by which marks will be awarded; exemplification/indicative content will not be exhaustive.
2 All the marks on the mark scheme are designed to be awarded; mark schemes
should be applied positively. Examiners should also be prepared to award zero marks if the candidate’s response is not worthy of credit according to the mark scheme. If there is a wrong answer (or no answer) indicated on the answer line always check the working in the body of the script (and on any diagrams), and award any marks appropriate from the mark scheme.
Questions where working is not required: In general, the correct answer should be given full marks. Questions that specifically require working: In general, candidates who do not show working on this type of question will get no marks – full details will be given in the mark scheme for each individual question.
3 Crossed out work
This should be marked unless the candidate has replaced it with an alternative response.
4 Choice of method If there is a choice of methods shown, mark the method that leads to the answer given on the answer line.
If no answer appears on the answer line, mark both methods then award the lower number of marks.
5 Incorrect method
If it is clear from the working that the “correct” answer has been obtained from incorrect working, award 0 marks. Send the response to review for your Team Leader to check.
6 Follow through marks
Follow through marks which involve a single stage calculation can be awarded without working as you can check the answer, but if ambiguous do not award. Follow through marks which involve more than one stage of calculation can only be awarded on sight of the relevant working, even if it appears obvious that there is only one way you could get the answer given.
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
44 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
7 Ignoring subsequent work It is appropriate to ignore subsequent work when the additional work does not change the answer in a way that is inappropriate for the question or its context. (eg. an incorrectly cancelled fraction when the unsimplified fraction would gain full marks). It is not appropriate to ignore subsequent work when the additional work essentially makes the answer incorrect (eg. incorrect algebraic simplification).
8 Probability
Probability answers must be given as a fraction, percentage or decimal. If a candidate gives a decimal equivalent to a probability, this should be written to at least 2 decimal places (unless tenths). Incorrect notation should lose the accuracy marks, but be awarded any implied method marks. If a probability answer is given on the answer line using both incorrect and correct notation, award the marks. If a probability fraction is given then cancelled incorrectly, ignore the incorrectly cancelled answer.
9 Linear equations
Unless indicated otherwise in the mark scheme, full marks can be gained if the solution alone is given on the answer line, or otherwise unambiguously identified in working (without contradiction elsewhere). Where the correct solution only is shown substituted, but not identified as the solution, the accuracy mark is lost but any method marks can be awarded (embedded answers).
10 Range of answers
Unless otherwise stated, when an answer is given as a range (e.g 3.5 – 4.2) then this is inclusive of the end points (e.g 3.5, 4.2) and all numbers within the range.
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
55Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
Guidance on the use of abbreviations within this mark scheme
M method mark awarded for a correct method or partial method P process mark awarded for a correct process as part of a problem solving question A accuracy mark (awarded after a correct method or process; if no method or
process is seen then full marks for the question are implied but see individual mark schemes for more details)
C communication mark B unconditional accuracy mark (no method needed) oe or equivalent cao correct answer only ft follow through (when appropriate as per mark scheme) sc special case dep dependent (on a previous mark) indep independent awrt answer which rounds to isw ignore subsequent working
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
66 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
Centre Number Candidate Number
Write your name hereSurname Other names
Total Marks
Paper Reference
Turn over
S50155A©2015 Pearson Education Ltd.
6/6/4/
*S50155A0116*
MathematicsPaper 1 (Non-Calculator)
Foundation TierSpecimen Papers Set 2
Time: 1 hour 30 minutes 1MA1/1FYou must have: Ruler graduated in centimetres and millimetres, protractor, pair of compasses, pen, HB pencil, eraser.
Instructions
• Use black ink or ball-point pen.• Fill in the boxes at the top of this page with your name, centre number and candidate number.• Answer all questions.• Answer the questions in the spaces provided
– there may be more space than you need.• Calculators may not be used.• Diagrams are NOT accurately drawn, unless otherwise indicated.• You must show all your working out.
Information
• The total mark for this paper is 80• The marks for each question are shown in brackets
– use this as a guide as to how much time to spend on each question.
Advice
• Read each question carefully before you start to answer it.• Keep an eye on the time.• Try to answer every question.• Check your answers if you have time at the end.
Pearson Edexcel Level 1/Level 2 GCSE (9 - 1)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
77Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
2
*S50155A0216*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
Answer ALL questions.
Write your answers in the spaces provided.
You must write down all the stages in your working.
1 Find 10% of £320
£... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 1 is 1 mark)
2 Write 0.8 as a percentage.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . %
(Total for Question 2 is 1 mark)
3 (a) Work out 84 ÷ 3
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
(b) Work out 0.17 × 6000
... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
(c)Workout(−2)3
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
(Total for Question 3 is 3 marks)
4 Here is a square-based pyramid.
(i) How many faces does the pyramid have?
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(ii) How many edges does the pyramid have?
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 4 is 2 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
88 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
2
*S50155A0216*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
Answer ALL questions.
Write your answers in the spaces provided.
You must write down all the stages in your working.
1 Find 10% of £320
£... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 1 is 1 mark)
2 Write 0.8 as a percentage.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . %
(Total for Question 2 is 1 mark)
3 (a) Work out 84 ÷ 3
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
(b) Work out 0.17 × 6000
... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
(c)Workout(−2)3
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
(Total for Question 3 is 3 marks)
4 Here is a square-based pyramid.
(i) How many faces does the pyramid have?
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(ii) How many edges does the pyramid have?
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 4 is 2 marks)
3
*S50155A0316* Turn over
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
5
6
5
4
3
2
1
O
–1
–2
–3
–4
–6 –5 –4 –3 –2 –1 1 2 3 4 5 6
A
B
x
y
(a) Write down the coordinates of point B.
(. . . . . . . . . . . . . . . . . . . . . . . . . . . . , . . . . . . . . . . . . . . . . . . . . . . . . . . . .)(1)
(b) Find the coordinates of the midpoint of AB.
(. . . . . . . . . . . . . . . . . . . . . . . . . . . . , . . . . . . . . . . . . . . . . . . . . . . . . . . . .)(1)
(c) On the grid, draw the line with equation y=−3(1)
(Total for Question 5 is 3 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
99Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
4
*S50155A0416*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
6 Here are the instructions for making a drink.
Add 100 ml of juiceto 2 litres of water
Dev uses 5 litres of water to make the drink.
How much drink has he made?
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 6 is 3 marks)
7 In a box there are three types of chocolates.
There are 6 plain chocolates, 8 milk chocolates and 10 white chocolates.
Ben takes at random a chocolate from the box.
(a) Write down the probability that Ben takes a plain chocolate.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(2)
Deon takes 2 chocolates from the box.
(b) Write down all the possible combinations of types of chocolates that Deon can take.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(2)
(Total for Question 7 is 4 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
1010 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
4
*S50155A0416*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
6 Here are the instructions for making a drink.
Add 100 ml of juiceto 2 litres of water
Dev uses 5 litres of water to make the drink.
How much drink has he made?
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 6 is 3 marks)
7 In a box there are three types of chocolates.
There are 6 plain chocolates, 8 milk chocolates and 10 white chocolates.
Ben takes at random a chocolate from the box.
(a) Write down the probability that Ben takes a plain chocolate.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(2)
Deon takes 2 chocolates from the box.
(b) Write down all the possible combinations of types of chocolates that Deon can take.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(2)
(Total for Question 7 is 4 marks)
5
*S50155A0516* Turn over
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
8 8 identical pens cost £12 Work out the cost of 10 of these pens.
£.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 8 is 2 marks)
9 Here are five fractions.
28
1040
1248
524
2080
One of these fractions is not equivalent to 14
(a) Write down this fraction.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
(b) Work out 27
114
+
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(2)
(c) Work out 45
310
÷
Give your answer in its simplest form.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(2)
(Total for Question 9 is 5 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
1111Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
6
*S50155A0616*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
10 (a) Solve 3x + 7 = 1
x = .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(2)
(b) f = 6 g = 5
Work out the value of 3f – 2g
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(2)
(Total for Question 10 is 4 marks)
11 Write down three different multiples of 4 that add up to 40
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 11 is 2 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
1212 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
6
*S50155A0616*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
10 (a) Solve 3x + 7 = 1
x = .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(2)
(b) f = 6 g = 5
Work out the value of 3f – 2g
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(2)
(Total for Question 10 is 4 marks)
11 Write down three different multiples of 4 that add up to 40
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 11 is 2 marks)
7
*S50155A0716* Turn over
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
12 Helen has 80 books to sell.
Each book is Fiction or Non-fiction. The ratio of the number of Fiction books to the number of Non-fiction books is 3:1
Each book has a normal price of £10 Helen reduces the price of all the Non-fiction books.
Non-fiction
All books normal price
Helen sells all 80 books.
Work out the total amount of money Helen will receive.
£.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 12 is 4 marks)
13 Ryan and Carl each get paid a basic pay of £60 per day.
One day, Ryan also gets a bonus of 25% of his basic pay. Carl also gets £20 in tips from customers.
Work out the difference between the total amounts of money that Ryan and Carl each get.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 13 is 3 marks)
All books½ price
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
1313Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
8
*S50155A0816*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
14 Some people were asked if they liked swimming or cycling or running.
The table shows the results for the males and the results for the females.
Swimming Cycling Running
Male 2 6 4
Female 8 5 5
(a) On the grid, draw a bar chart to show this information.
(4)
(b) Work out the percentage of the 30 people that are female.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . %(2)
(Total for Question 14 is 6 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
1414 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
8
*S50155A0816*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
14 Some people were asked if they liked swimming or cycling or running.
The table shows the results for the males and the results for the females.
Swimming Cycling Running
Male 2 6 4
Female 8 5 5
(a) On the grid, draw a bar chart to show this information.
(4)
(b) Work out the percentage of the 30 people that are female.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . %(2)
(Total for Question 14 is 6 marks)
9
*S50155A0916* Turn over
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
15 The table shows information about the ages of all the people at a party.
Age (years) Frequency
11−20 6
21−30 16
31−40 10
41−50 8
(a) Work out the total number of these people who were aged 40 or less.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
Andy says that the range of ages is 39 years because 50 – 11 = 39
(b) The range may not be 39 years. Explain why.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
(Total for Question 15 is 2 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
1515Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
10
*S50155A01016*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
16 The diagram shows a quadrilateral ABCD.
120° 57°B
D
A
C
Is AB parallel to DC? You must give your reasoning.
(Total for Question 16 is 3 marks)
17 Irena sells ice creams. One day she sells 80 ice creams. The next day she sells 108 ice creams.
Work out the percentage increase in the number of ice creams she sells.
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . %
(Total for Question 17 is 3 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
1616 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
10
*S50155A01016*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
16 The diagram shows a quadrilateral ABCD.
120° 57°B
D
A
C
Is AB parallel to DC? You must give your reasoning.
(Total for Question 16 is 3 marks)
17 Irena sells ice creams. One day she sells 80 ice creams. The next day she sells 108 ice creams.
Work out the percentage increase in the number of ice creams she sells.
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . %
(Total for Question 17 is 3 marks)
11
*S50155A01116* Turn over
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
18 Dimitar has 20 sweets. Pip also has 20 sweets.
Dimitar gives Pip x sweets.
Dimitar then eats 5 of his sweets. Pip then eats half of her sweets.
Write expressions for the number of sweets Dimitar and Pip now have.
Dimitar .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Pip .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 18 is 3 marks)
19 (a) Factorise y2 + 27y
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
(b) Simplify (t3)2
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
(c) Simplify ww
9
4
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
(Total for Question 19 is 3 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
1717Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
12
*S50155A01216*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
20 The diagram shows a square with perimeter 16 cm.
3 cm
2 cm
Work out the proportion of the area inside the square that is shaded.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 20 is 5 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
1818 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
12
*S50155A01216*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
20 The diagram shows a square with perimeter 16 cm.
3 cm
2 cm
Work out the proportion of the area inside the square that is shaded.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 20 is 5 marks)
13
*S50155A01316* Turn over
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
21 David has designed a game. He uses a fair 6-sided dice and a fair 5-sided spinner. The dice is numbered 1 to 6 The spinner is numbered 1 to 5
Each player rolls the dice once and spins the spinner once. A player can win £5 or win £2
Win £2
roll a 1or
spin a 1or
both
Win £5
roll a 5and
spin a 5
David expects 30 people will play his game. Each person will pay David £1 to play the game.
(a) Work out how much profit David can expect to make.
£.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(4)
(b) Give a reason why David’s actual profit may be different to the profit he expects to make.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
(Total for Question 21 is 5 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
1919Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
14
*S50155A01416*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
22 Triangle ABC has perimeter 20 cm.
AB = 7 cm. BC = 4 cm.
By calculation, deduce whether triangle ABC is a right-angled triangle.
(Total for Question 22 is 4 marks)
23 One sheet of A3 card has area 18
m2.
The card has a mass of 160 g per m2.
Work out the total mass of 25 sheets of A3 card.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 23 is 4 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
2020 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
14
*S50155A01416*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
22 Triangle ABC has perimeter 20 cm.
AB = 7 cm. BC = 4 cm.
By calculation, deduce whether triangle ABC is a right-angled triangle.
(Total for Question 22 is 4 marks)
23 One sheet of A3 card has area 18
m2.
The card has a mass of 160 g per m2.
Work out the total mass of 25 sheets of A3 card.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 23 is 4 marks)
15
*S50155A01516*
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
24 Here are the first five terms of a sequence.
2 8 18 32 50
(a) Find the next term of this sequence.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
The nth term of a different sequence is 3n2 – 10
(b) Work out the 5th term of this sequence.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
(Total for Question 24 is 2 marks)
25 Write 504 as a product of powers of its prime factors.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 25 is 3 marks)
TOTAL FOR PAPER IS 80 MARKS
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
2121Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
16
*S50155A01616*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
BLANK PAGE
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
2222 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
16
*S50155A01616*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
BLANK PAGE
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
2323Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
Pape
r 1M
A1:
1F
Que
stio
nW
orki
ngA
nsw
erN
otes
132
B1
280
B1
3a
28B
1
b10
20B
1
c−8
B1
4i
5B
1
ii8
B1
5a
(4, 5
)B
1
b(1
, 4)
B1
cC
orre
ct li
neB
1
65.
25 li
tres
P1fo
r sta
rt to
pro
cess
eg.
5 ÷
2 (=
2.5)
P1fo
r com
plet
e pr
oces
s eg.
500
0 +
2.5×
100
A1
or 5
250
ml
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
2424 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
Pape
r 1M
A1:
1F
Que
stio
nW
orki
ngA
nsw
erN
otes
7a
M1
For
24xw
ith x
< 24
or
6 yw
ith y
> 6
A1
for
oe
bPP
PM P
W
MM
MW
WW
M1
A1
At l
east
3 c
orre
ct c
ombi
natio
nsFu
lly c
orre
ct li
st w
ith n
o ex
tras o
r per
mut
atio
ns
815
M1
For
star
t to
scal
ing
proc
ess e
g 12
÷8 o
r 10÷
8A
115
9a
B1
bM
1Fo
r usi
ng a
cor
rect
com
mon
den
omin
ator
A1
For
oe
c2
23
M1
for
410
53
×oe
A1
for
22
3or
8 3
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
2525Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
Pape
r 1M
A1:
1F
Que
stio
nW
orki
ngA
nsw
erN
otes
10a
−2M
1 Fo
r sub
tract
ion
of 7
from
bot
h si
des o
rdiv
isio
n of
all
term
s by
3 as
firs
t ste
p of
solu
tion
A1
cao
b8
M1
For s
ubst
itutio
n 3×
6 −
2×5
A1
cao
118,
12,
20
or4,
8, 2
8 or
4, 1
2, 2
4 or
4, 1
6, 2
0
P1A
dds 3
diff
eren
t mul
tiple
s of 4
A1
1270
0P1
for p
roce
ss fo
r tot
al n
on-f
ictio
n bo
oks
eg
× 80
(=20
)P1
proc
ess f
or to
tal t
akin
gs fo
r non
fict
ion
eg 2
0 ×
× 10
(= 1
00)
P1pr
oces
s to
find
tota
l tak
ings
“10
0” +
60
× 10
A1
700
13£5
£5P1
for
× 60
P1fo
r pro
cess
to fi
nd d
iffer
ence
bet
wee
n to
tals
20–
“15”
A1
cao
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
2626 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
Pape
r 1M
A1:
1F
Que
stio
nW
orki
ngA
nsw
erN
otes
14a
char
tC
1Fo
r key
or s
uita
ble
labe
ls to
iden
tify
mal
e an
d fe
mal
eC
1 Fo
r lin
ear s
cale
C
1Fo
r cha
rt (c
ombi
ned
or se
para
te) c
orre
ctly
sh
owin
g da
ta fo
r at l
east
2 o
f sw
im, r
un, c
ycle
C1
Fully
cor
rect
cha
rt w
ith a
xes c
orre
ctly
scal
ed a
nd
labe
lled.
b60
M1
or ft
thei
r dia
gram
A1
60%
15a
32B
132
cao
bC
orre
ct re
ason
C1
Com
men
t abo
ut g
roup
ed d
ata
in c
onte
xt
16N
o w
ith re
ason
M1
Star
ting
reas
onin
g 12
0 +
57 (=
177
)A
1 C
ompa
rison
of 1
77 w
ith 1
80C
1C
ompl
etes
cor
rect
reas
onin
g w
ith re
fere
nce
to e
g co
-inte
rior (
or a
llied
) ang
les t
otal
180
1735
M1
M1
A1
for m
etho
d to
find
incr
ease
108
–80
(= 2
8)fo
r met
hod
to fi
nd %
incr
ease
eg
× 10
0ca
o
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
2727Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
Pape
r 1M
A1:
1F
Que
stio
nW
orki
ngA
nsw
erN
otes
18D
: 15
–x
P:
M1
A1
A1
For w
ritin
g a
corr
ect e
xpre
ssio
n fo
r D o
r P
befo
re sw
eets
are
eat
en 2
0 –
xor
20
+ x
One
cor
rect
exp
ress
ion
Bot
h co
rrec
t exp
ress
ions
19a
y(y+
27)
B1
bt6
B1
cw
5B
1
2016
÷ 4
P1U
sing
side
leng
ths o
f 4
=2 o
r ×
=
=4 o
r ×
=
P1M
etho
d to
find
frac
tion
or a
rea
for o
ne u
nsha
ded
trian
gle
+=
6 or
×
+×
=P1
Met
hod
to c
ompl
ete
frac
tion
or a
rea
for t
otal
un
shad
ed re
gion
16–
6 =
10 o
r 1 −
=
P1
Met
hod
to fi
nd to
tal f
ract
ion
or a
rea
for s
hade
d re
gion
A1
for
oeor
0.6
25
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
2828 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
Pape
r 1M
A1:
1F
Que
stio
nW
orki
ngA
nsw
erN
otes
21a
××
30 ×
5 =
5
(×
+×
+×
)×30
=10
30 ×
1 –
5–
10×2
5P1 P1 P1 A
1
for i
dent
ifyin
g co
rrec
t pro
cess
to fi
nd
prob
abili
ties f
or w
innn
g sc
ores
. May
incl
ude
use
of tr
ee d
iagr
am o
r sam
ple
spac
efo
r cor
rect
pro
cess
to fi
nd p
rize
mon
eyfo
r com
plet
ing
corr
ect p
roce
ss to
find
pro
fitca
o
bEx
plan
atio
nC
1fo
r app
ropr
iate
com
men
t to
inte
rpre
t res
ult e
g pr
obab
ility
so o
nly
likel
ihoo
d no
t cer
tain
ty, o
ther
th
an 3
0 m
ay p
lay,
£5
is sm
all d
iffer
ence
.
22N
o w
ith
reas
onin
gM
1M
1D
eriv
eAC
=9 c
man
d id
entif
y as
hyp
oten
use
42+
72
A1
for u
sing
eg
AC =
or 6
5 an
d 81
C
1fo
r con
clud
ing
expl
anat
ion
that
ABC
is n
ot a
rig
ht-a
ngle
d tri
angl
e w
ith e
vide
nce.
2350
0gP1
× 16
0 (=
20)
P1‘2
0’ ×
25
A1
500
(or 0
.5)
B1
Cor
rect
uni
ts g
(or k
g)
24(a
)72
B1
cao
(b)
65B
1ca
o
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
2929Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
Pape
r 1M
A1:
1F
Que
stio
nW
orki
ngA
nsw
erN
otes
2523
× 32
× 7
M1
for a
t lea
st 3
cor
rect
div
isio
ns b
y a
prim
e fa
ctor
(m
ay b
e se
en in
a fa
ctor
tree
)M
1fo
r 2, 2
, 2, 3
, 3, 7
(con
done
incl
usio
n of
1);
may
be
seen
in a
fact
or tr
eeA
1
Centre Number Candidate Number
Write your name hereSurname Other names
Total Marks
Paper Reference
Turn over
S50157A©2015 Pearson Education Ltd.
6/6/4/
*S50157A0128*
Mathematics Paper 2 (Calculator)
Foundation TierSpecimen Papers Set 2
Time: 1 hour 30 minutes 1MA1/2FYou must have: Ruler graduated in centimetres and millimetres, protractor, pair of compasses, pen, HB pencil, eraser, calculator.
Instructions
• Use black ink or ball-point pen.• Fill in the boxes at the top of this page with your name, centre number and candidate number.• Answer all questions.• Answer the questions in the spaces provided
– there may be more space than you need.• Calculators may be used.• If your calculator does not have a π button, take the value of π to be 3.142
unless the question instructs otherwise.• Diagrams are NOT accurately drawn, unless otherwise indicated.• You must show all your working out.
Information
• The total mark for this paper is 80• The marks for each question are shown in brackets
– use this as a guide as to how much time to spend on each question.
Advice
• Read each question carefully before you start to answer it.• Keep an eye on the time.• Try to answer every question.• Check your answers if you have time at the end.
Pearson Edexcel Level 1/Level 2 GCSE (9 - 1)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
3030 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
Centre Number Candidate Number
Write your name hereSurname Other names
Total Marks
Paper Reference
Turn over
S50157A©2015 Pearson Education Ltd.
6/6/4/
*S50157A0128*
Mathematics Paper 2 (Calculator)
Foundation TierSpecimen Papers Set 2
Time: 1 hour 30 minutes 1MA1/2FYou must have: Ruler graduated in centimetres and millimetres, protractor, pair of compasses, pen, HB pencil, eraser, calculator.
Instructions
• Use black ink or ball-point pen.• Fill in the boxes at the top of this page with your name, centre number and candidate number.• Answer all questions.• Answer the questions in the spaces provided
– there may be more space than you need.• Calculators may be used.• If your calculator does not have a π button, take the value of π to be 3.142
unless the question instructs otherwise.• Diagrams are NOT accurately drawn, unless otherwise indicated.• You must show all your working out.
Information
• The total mark for this paper is 80• The marks for each question are shown in brackets
– use this as a guide as to how much time to spend on each question.
Advice
• Read each question carefully before you start to answer it.• Keep an eye on the time.• Try to answer every question.• Check your answers if you have time at the end.
Pearson Edexcel Level 1/Level 2 GCSE (9 - 1)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
3131Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
3
*S50157A0328* Turn over
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
5Living to 100 years old
1 in 3 babies born last year
are expected to live to 100 years old
720 000 babies were born last year.
How many of these babies are expected to live to 100 years old?
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 5 is 2 marks)
2
*S50157A0228*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
Answer ALL questions.
Write your answers in the spaces provided.
You must write down all the stages in your working.
1 Write 6819 to the nearest 1000
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 1 is 1 mark)
2 Write these temperatures in order. Start with the lowest temperature.
7°C –2°C 10°C –5°C 3°C
... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 2 is 1 mark)
3 Write 0.075 as a fraction. Give your fraction in its simplest form.
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 3 is 2 marks)
4 Find the value of 54
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 4 is 1 mark)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
3232 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
3
*S50157A0328* Turn over
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
5Living to 100 years old
1 in 3 babies born last year
are expected to live to 100 years old
720 000 babies were born last year.
How many of these babies are expected to live to 100 years old?
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 5 is 2 marks)
2
*S50157A0228*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
Answer ALL questions.
Write your answers in the spaces provided.
You must write down all the stages in your working.
1 Write 6819 to the nearest 1000
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 1 is 1 mark)
2 Write these temperatures in order. Start with the lowest temperature.
7°C –2°C 10°C –5°C 3°C
... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 2 is 1 mark)
3 Write 0.075 as a fraction. Give your fraction in its simplest form.
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 3 is 2 marks)
4 Find the value of 54
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 4 is 1 mark)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
3333Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
5
*S50157A0528* Turn over
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
7 Tracy buys
2 coffees at £1.10 each 3 teas at 95p each 5 sandwiches at £2.15 each
Tracy shares the total cost equally between 5 people.
How much does each person pay?
£ .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 7 is 4 marks)
4
*S50157A0428*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
6 Here is part of a train timetable from Swindon to London.
Swindon to London
Swindon 06 10 06 27 06 41 06 58 07 01 07 17 07 28
Didcot 06 27 06 45 06 58 – 07 18 – 07 45
Reading 06 41 06 59 07 13 07 28 07 33 07 43 08 00
London 07 16 07 32 07 44 08 02 08 07 08 14 08 33
(a) How long should the 06 58 train from Swindon take to get to London?
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
Clare says,
“All these trains take more than one hour to get from Swindon to London.”
(b) Is Clare correct? You must give a reason for your answer.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
(Total for Question 6 is 2 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
3434 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
5
*S50157A0528* Turn over
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
7 Tracy buys
2 coffees at £1.10 each 3 teas at 95p each 5 sandwiches at £2.15 each
Tracy shares the total cost equally between 5 people.
How much does each person pay?
£ .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 7 is 4 marks)
4
*S50157A0428*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
6 Here is part of a train timetable from Swindon to London.
Swindon to London
Swindon 06 10 06 27 06 41 06 58 07 01 07 17 07 28
Didcot 06 27 06 45 06 58 – 07 18 – 07 45
Reading 06 41 06 59 07 13 07 28 07 33 07 43 08 00
London 07 16 07 32 07 44 08 02 08 07 08 14 08 33
(a) How long should the 06 58 train from Swindon take to get to London?
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
Clare says,
“All these trains take more than one hour to get from Swindon to London.”
(b) Is Clare correct? You must give a reason for your answer.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
(Total for Question 6 is 2 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
3535Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
7
*S50157A0728* Turn over
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
Pete also carried out a survey to find out the type of fruit people like best. He asked 30 people which type of fruit they like best.
He drew this pie chart for his results.
banana
Diagram accurately drawn
orangeapple
A smaller proportion of people like bananas best in Pete’s survey than in Rachel’s survey.
(c) Explain how Pete’s pie chart and Rachel’s table show this.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(2)
(Total for Question 8 is 4 marks)
6
*S50157A0628*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
8 Rachel carried out a survey of 10 people to find out the type of fruit they like best.
The table gives information about her results.
Type of fruit Number of people
apple 2
banana 5
orange 3
(a) Which type of fruit is the mode?
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
In Rachel’s survey, 2 out of 10 people like apples best.
(b) Write 2 out of 10 as a percentage.
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .%(1)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
3636 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
7
*S50157A0728* Turn over
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
Pete also carried out a survey to find out the type of fruit people like best. He asked 30 people which type of fruit they like best.
He drew this pie chart for his results.
banana
Diagram accurately drawn
orangeapple
A smaller proportion of people like bananas best in Pete’s survey than in Rachel’s survey.
(c) Explain how Pete’s pie chart and Rachel’s table show this.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(2)
(Total for Question 8 is 4 marks)
6
*S50157A0628*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
8 Rachel carried out a survey of 10 people to find out the type of fruit they like best.
The table gives information about her results.
Type of fruit Number of people
apple 2
banana 5
orange 3
(a) Which type of fruit is the mode?
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
In Rachel’s survey, 2 out of 10 people like apples best.
(b) Write 2 out of 10 as a percentage.
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .%(1)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
3737Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
9
*S50157A0928* Turn over
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
10 Karol ran in a race.
The graph shows her speed, in metres per second, t seconds after the start of the race.
(a) Write down Karol’s speed 3 seconds after the start of the race.
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .m/s(1)
(b) Write down Karol’s greatest speed.
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .m/s(1)
There were two times when Karol’s speed was 9 m/s.
(c) Write down these two times.
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .seconds
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .seconds(1)
(Total for Question 10 is 3 marks)
0 2 4 6 8 10Time (t seconds)
Speed (m/s)
10
8
6
4
2
0
8
*S50157A0828*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
9 The smallest angle of a triangle is 25° The triangle is enlarged by scale factor 3
Ben says,
“The smallest angle of the enlarged triangle is 75° because 25 × 3 = 75”
Is Ben right? Explain your answer.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 9 is 1 mark)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
3838 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
9
*S50157A0928* Turn over
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
10 Karol ran in a race.
The graph shows her speed, in metres per second, t seconds after the start of the race.
(a) Write down Karol’s speed 3 seconds after the start of the race.
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .m/s(1)
(b) Write down Karol’s greatest speed.
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .m/s(1)
There were two times when Karol’s speed was 9 m/s.
(c) Write down these two times.
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .seconds
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .seconds(1)
(Total for Question 10 is 3 marks)
0 2 4 6 8 10Time (t seconds)
Speed (m/s)
10
8
6
4
2
0
8
*S50157A0828*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
9 The smallest angle of a triangle is 25° The triangle is enlarged by scale factor 3
Ben says,
“The smallest angle of the enlarged triangle is 75° because 25 × 3 = 75”
Is Ben right? Explain your answer.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 9 is 1 mark)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
3939Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
11
*S50157A01128* Turn over
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
12 Martin has 8 pints of soup in a pan. He also has 24 soup bowls. He puts 0.3 pints of soup into each bowl.
How much soup has Martin left over?
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .pints
(Total for Question 12 is 3 marks)
13 Abi invests £500 for 4 years in a bank account. The account pays simple interest at a rate of 2.3% per year.
Work out the total amount of interest Abi has got at the end of 4 years.
£ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 13 is 3 marks)
10
*S50157A01028*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
11 The first three terms of a number pattern are 1 2 4
Hester says the first five terms of this number pattern are 1 2 4 8 16
(a) Write down the rule Hester could have used to get the 4th and 5th terms.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
(b) Write down the 6th term of Hester’s number pattern.
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
Jack uses a different rule.
He says the first six terms of the number pattern are 1 2 4 7 11 16
(c) Write down the 7th and 8th terms of Jack’s number pattern.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . , . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
(Total for Question 11 is 3 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
4040 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
11
*S50157A01128* Turn over
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
12 Martin has 8 pints of soup in a pan. He also has 24 soup bowls. He puts 0.3 pints of soup into each bowl.
How much soup has Martin left over?
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .pints
(Total for Question 12 is 3 marks)
13 Abi invests £500 for 4 years in a bank account. The account pays simple interest at a rate of 2.3% per year.
Work out the total amount of interest Abi has got at the end of 4 years.
£ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 13 is 3 marks)
10
*S50157A01028*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
11 The first three terms of a number pattern are 1 2 4
Hester says the first five terms of this number pattern are 1 2 4 8 16
(a) Write down the rule Hester could have used to get the 4th and 5th terms.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
(b) Write down the 6th term of Hester’s number pattern.
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
Jack uses a different rule.
He says the first six terms of the number pattern are 1 2 4 7 11 16
(c) Write down the 7th and 8th terms of Jack’s number pattern.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . , . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
(Total for Question 11 is 3 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
4141Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
13
*S50157A01328*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
Turn over
15 Here is a list of ingredients for making chocolate mousse for 2 people.
Chocolate moussefor 2 people
40 grams sugar110 grams dark chocolate 2 eggs
14
teaspoon lemon juice
Ellie has 250 grams of sugar and 550 grams of dark chocolate. She assumes that she has plenty of lemon juice and plenty of eggs.
(a) What is the greatest number of people Ellie can make chocolate mousse for? You must justify your answer.
(3)
Ellie only has 6 eggs.
(b) What effect would this have on the greatest number of people Ellie can make chocolate mousse for?
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
(Total for Question 15 is 4 marks)
12
*S50157A01228*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
14 The graph shows the cost of using a mobile phone for one month for different numbers of minutes of calls made.
The cost includes a fixed rental charge of £20 and a charge for each minute of calls made.
Work out the charge for each minute of calls made.
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 14 is 2 marks)
0 100 200 300 400 500Number of minutes
Cost (£)
40
30
20
10
0
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
4242 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
13
*S50157A01328*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
Turn over
15 Here is a list of ingredients for making chocolate mousse for 2 people.
Chocolate moussefor 2 people
40 grams sugar110 grams dark chocolate 2 eggs
14
teaspoon lemon juice
Ellie has 250 grams of sugar and 550 grams of dark chocolate. She assumes that she has plenty of lemon juice and plenty of eggs.
(a) What is the greatest number of people Ellie can make chocolate mousse for? You must justify your answer.
(3)
Ellie only has 6 eggs.
(b) What effect would this have on the greatest number of people Ellie can make chocolate mousse for?
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
(Total for Question 15 is 4 marks)
12
*S50157A01228*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
14 The graph shows the cost of using a mobile phone for one month for different numbers of minutes of calls made.
The cost includes a fixed rental charge of £20 and a charge for each minute of calls made.
Work out the charge for each minute of calls made.
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 14 is 2 marks)
0 100 200 300 400 500Number of minutes
Cost (£)
40
30
20
10
0
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
4343Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
15
*S50157A01528* Turn over
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
18 There are 64 cards in a pack. Each card is either red or black. The ratio of the number of red cards to the number of black cards is 1 : 1
8 red cards are removed from the pack.
Find the ratio of the number of red cards now in the pack to the number of black cards now in the pack.
Give your answer in its simplest form.
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 18 is 3 marks)
14
*S50157A01428*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
16 A sprinter runs a distance of 200 metres in 25 seconds.
Work out the average speed of the sprinter.
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .m/s
(Total for Question 16 is 1 mark)
17 (a) Simplify 7x + 2y – 3x + 4y
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(2)
(b) Factorise 10x – 15
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
(c) Solve 5p = 3p + 8
p = . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(2)
(Total for Question 17 is 5 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
4444 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
15
*S50157A01528* Turn over
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
18 There are 64 cards in a pack. Each card is either red or black. The ratio of the number of red cards to the number of black cards is 1 : 1
8 red cards are removed from the pack.
Find the ratio of the number of red cards now in the pack to the number of black cards now in the pack.
Give your answer in its simplest form.
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 18 is 3 marks)
14
*S50157A01428*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
16 A sprinter runs a distance of 200 metres in 25 seconds.
Work out the average speed of the sprinter.
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .m/s
(Total for Question 16 is 1 mark)
17 (a) Simplify 7x + 2y – 3x + 4y
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(2)
(b) Factorise 10x – 15
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
(c) Solve 5p = 3p + 8
p = . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(2)
(Total for Question 17 is 5 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
4545Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
17
*S50157A01728* Turn over
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
(ii) a score of 5 or more.
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(2)
(Total for Question 19 is 3 marks)
20 Water flows through a pipe at a rate of 20 gallons per minute.
1 gallon = 4.55 litres.
Change 20 gallons per minute to litres per second. Give your answer correct to 3 significant figures.
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . litres per second
(Total for Question 20 is 2 marks)
16
*S50157A01628*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
19 Here are a 4-sided spinner and a 5-sided spinner.
The spinners are fair.
2 1
4
3
2 43
51
Jeff is going to spin each spinner once. Each spinner will land on a number. Jeff will get his score by adding these two numbers together.
(a) Complete the possibility space diagram for each possible score.
5-sided spinner
1 2 3 4 5
4-sided spinner
1 2 3 4 5 6
2 3
3 4
4 5
(1)
Jeff spins each spinner once.
(b) Find the probability that Jeff gets
(i) a score of 3
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
4646 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
17
*S50157A01728* Turn over
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
(ii) a score of 5 or more.
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(2)
(Total for Question 19 is 3 marks)
20 Water flows through a pipe at a rate of 20 gallons per minute.
1 gallon = 4.55 litres.
Change 20 gallons per minute to litres per second. Give your answer correct to 3 significant figures.
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . litres per second
(Total for Question 20 is 2 marks)
16
*S50157A01628*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
19 Here are a 4-sided spinner and a 5-sided spinner.
The spinners are fair.
2 1
4
3
2 43
51
Jeff is going to spin each spinner once. Each spinner will land on a number. Jeff will get his score by adding these two numbers together.
(a) Complete the possibility space diagram for each possible score.
5-sided spinner
1 2 3 4 5
4-sided spinner
1 2 3 4 5 6
2 3
3 4
4 5
(1)
Jeff spins each spinner once.
(b) Find the probability that Jeff gets
(i) a score of 3
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
4747Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
19
*S50157A01928*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
Turn over
23 The time series graph shows information about the percentages of the people in a village that used the village shop for the years between 1980 and 2010
(a) Describe the trend in the percentage of the people in the village who used the shop for this period.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
(b) (i) Use the graph to predict the percentage of the people in the village likely to use the shop in the year 2020
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .%
(ii) Is your prediction reliable? Explain your answer.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(3)
(Total for Question 23 is 4 marks)
1980 1990 2000 2010 2020
Year
Percentage
40
35
30
25
20
15
10
5
0
18
*S50157A01828*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
21 Find the highest common factor (HCF) of 32, 48 and 72
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 21 is 2 marks)
22
A
y
B
x
4
3
2
1
1 2 3 4–1
–2
–3
–4
–4 –3 –2 –1 O
Describe the single transformation that maps shape A onto shape B.
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 22 is 2 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
4848 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
19
*S50157A01928*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
Turn over
23 The time series graph shows information about the percentages of the people in a village that used the village shop for the years between 1980 and 2010
(a) Describe the trend in the percentage of the people in the village who used the shop for this period.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
(b) (i) Use the graph to predict the percentage of the people in the village likely to use the shop in the year 2020
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .%
(ii) Is your prediction reliable? Explain your answer.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(3)
(Total for Question 23 is 4 marks)
1980 1990 2000 2010 2020
Year
Percentage
40
35
30
25
20
15
10
5
0
18
*S50157A01828*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
21 Find the highest common factor (HCF) of 32, 48 and 72
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 21 is 2 marks)
22
A
y
B
x
4
3
2
1
1 2 3 4–1
–2
–3
–4
–4 –3 –2 –1 O
Describe the single transformation that maps shape A onto shape B.
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 22 is 2 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
4949Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
21
*S50157A02128* Turn over
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
25
x
The diagram shows a regular octagon and a regular hexagon.
Find the size of the angle marked x You must show all your working.
x = . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . °
(Total for Question 25 is 3 marks)
x
20
*S50157A02028*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
24 (a) Expand and simplify 3(y − 2) + 5(2y + 1)
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(2)
(b) Simplify 5u2w4 × 7uw3
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(2)
(Total for Question 24 is 4 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
5050 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
21
*S50157A02128* Turn over
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
25
x
The diagram shows a regular octagon and a regular hexagon.
Find the size of the angle marked x You must show all your working.
x = . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . °
(Total for Question 25 is 3 marks)
x
20
*S50157A02028*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
24 (a) Expand and simplify 3(y − 2) + 5(2y + 1)
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(2)
(b) Simplify 5u2w4 × 7uw3
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(2)
(Total for Question 24 is 4 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
5151Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
23
*S50157A02328* Turn over
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
27 On a farm
the number of cows and the number of sheep are in the ratio 6 : 5 the number of sheep and the number of pigs are in the ratio 2 : 1
The total number of cows, sheep and pigs on the farm is 189
How many sheep are there on the farm?
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 27 is 3 marks)
22
*S50157A02228*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
26 Here is a Venn diagram.
BA15 12
18
10
1416
11 13 17 19
(a) Write down the numbers that are in set
(i) A È B
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(ii) A Ç B
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(2)
One of the numbers in the diagram is chosen at random.
(b) Find the probability that the number is in set Aʹ
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(2)
(Total for Question 26 is 4 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
5252 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
23
*S50157A02328* Turn over
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
27 On a farm
the number of cows and the number of sheep are in the ratio 6 : 5 the number of sheep and the number of pigs are in the ratio 2 : 1
The total number of cows, sheep and pigs on the farm is 189
How many sheep are there on the farm?
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 27 is 3 marks)
22
*S50157A02228*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
26 Here is a Venn diagram.
BA15 12
18
10
1416
11 13 17 19
(a) Write down the numbers that are in set
(i) A È B
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(ii) A Ç B
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(2)
One of the numbers in the diagram is chosen at random.
(b) Find the probability that the number is in set Aʹ
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(2)
(Total for Question 26 is 4 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
5353Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
25
*S50157A02528*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
29
A
B
C
72°
D
ABC is an isosceles triangle with BA = BC.
D lies on AC. ABD is an isosceles triangle with AB = AD.
Angle ABD = 72°
Show that the triangle BCD is isosceles. You must give a reason for each stage of your working.
(Total for Question 29 is 5 marks)
TOTAL FOR PAPER IS 80 MARKS
24
*S50157A02428*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
28 A
O
B
C4.8 cm
The arc ABC is a quarter of a circle with centre O and radius 4.8 cm. AC is a chord of the circle.
Work out the area of the shaded segment. Give your answer correct to 3 significant figures.
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .cm2
(Total for Question 28 is 3 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
5454 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
25
*S50157A02528*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
29
A
B
C
72°
D
ABC is an isosceles triangle with BA = BC.
D lies on AC. ABD is an isosceles triangle with AB = AD.
Angle ABD = 72°
Show that the triangle BCD is isosceles. You must give a reason for each stage of your working.
(Total for Question 29 is 5 marks)
TOTAL FOR PAPER IS 80 MARKS
24
*S50157A02428*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
28 A
O
B
C4.8 cm
The arc ABC is a quarter of a circle with centre O and radius 4.8 cm. AC is a chord of the circle.
Work out the area of the shaded segment. Give your answer correct to 3 significant figures.
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .cm2
(Total for Question 28 is 3 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
5555Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
27
*S50157A02728*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
BLANK PAGE
26
*S50157A02628*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
BLANK PAGE
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
5656 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
27
*S50157A02728*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
BLANK PAGE
26
*S50157A02628*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
BLANK PAGE
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
5757Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
28
*S50157A02828*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
BLANK PAGE
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
5858 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
28
*S50157A02828*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
BLANK PAGE
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
5959Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
Pape
r 1M
A1:
2F
Que
stio
nW
orki
ngA
nsw
erN
otes
170
00B
1ca
o
2–5
°C,
–2°C
, 3°
C,
7°C
, 10
°CB
1co
rrec
t ord
er
33 40
M1
75 1000
oe
A1
462
5B
1ca
o
572
0 00
0 ÷
324
0 00
0P1
for d
ivis
ion
by 3
A
1ca
o
6(a
)1
hr 4
min
sB
1ca
o
(b)
No
+ ex
plan
atio
nB
1fo
r no
+ ex
plan
atio
n, e
g th
e 07
17 fr
om
Swin
don
take
s les
s tha
n on
e ho
ur
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
6060 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
Pape
r 1M
A1:
2F
Que
stio
nW
orki
ngA
nsw
erN
otes
72
× £1
.10
(= £
2.20
)3
× £0
.95
(= £
2.85
)3.
16P1
for p
roce
ss o
f wor
king
out
tota
l cos
t of c
offe
es
or te
as o
r san
dwic
hesi
n pe
nce
or p
ound
s
5 ×
£2.1
5 (=
£10
.75)
£2.2
0 +
£2.8
5 +
£10.
75P1
for p
roce
ss o
f fin
ding
tota
l cos
t usi
ng c
onsi
sten
t un
its£1
5.80
÷ 5
P1fo
r pro
cess
of d
ivid
ing
by 5
A1
cao
8(a
)B
anan
aB
1ca
o
(b)
20B
1ca
o
(c)
expl
anat
ion
C2
for f
ull e
xpla
natio
n, e
g ta
ble
show
s exa
ctly
½ ;
pie
char
t sho
ws l
ess t
han
½ a
s ang
le is
less
than
18
0o
(C1
for p
artia
l exp
lana
tion
or re
fere
nce
to ju
st
pie
char
t or j
ust t
able
)
9N
o +
expl
anat
ion
C1
No,
with
exp
lana
tion,
eg
the
angl
e w
ill st
ill b
e 25
°
10(a
)6.
4–
6.6
B1
for 6
.4 –
6.6
(b)
9.8
B1
for
9.75
–9.
85
(c)
5, 9
B1
cao
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
6161Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
Pape
r 1M
A1:
2F
Que
stio
nW
orki
ngA
nsw
erN
otes
11(a
)ru
le st
ated
C1
for r
ule
stat
ed, e
g nu
mbe
r dou
bles
(b)
32B
1ca
o
(c)
22, 2
9B
1ca
o
120.
8P1
for p
roce
ss to
find
am
ount
of s
oup
put i
n bo
wls
, eg
24
× 0.
3 or
am
ount
of s
oup
whe
n 8
pint
s are
sh
ared
bet
wee
n 24
bow
ls, e
g 24
÷ 8
P1fo
r com
plet
e pr
oces
s to
find
amou
nt o
f sou
p le
ft ov
erA
1
1346
M1
for p
roce
ssto
find
val
ue a
fter 1
yea
rM
1fo
r pro
cess
to fi
nd v
alue
afte
r 4 y
ears
A1
cao
143p
M1
for m
etho
d to
find
gra
dien
t of l
ine
A1
for
3p o
e
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
6262 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
Pape
r 1M
A1:
2F
Que
stio
nW
orki
ngA
nsw
erN
otes
15(a
)10
P1fo
r pro
cess
to fi
nd n
umbe
r of p
eopl
e th
at E
llie
can
mak
e m
ouss
e fo
r usi
ng th
e su
gar a
vaila
ble
P1fo
r pro
cess
to fi
nd n
umbe
r of p
eopl
e th
at E
llie
can
mak
e m
ouss
e fo
r usi
ng th
e ch
ocol
ate
avai
labl
e A
1fo
r cor
rect
ans
wer
with
supp
ortiv
e w
orki
ng
(b)
corr
ect
expl
anat
ion
C1
for “
can
only
mak
e m
ouss
e fo
r 6 p
eopl
e” o
e
168
B1
cao
17(a
)4x
+ 6y
M1
for 4
xor
6y
A1
for 4
x+
6yor
2(2
x+
3y)
(b)
5(2x
–3)
B1
cao
(c)
4M
1fo
r met
hod
to is
olat
e te
rms i
n p
on o
ne si
de a
nd
cons
tant
s on
the
othe
r sid
eA
1ca
o
183
: 4M
1fo
r 32
–8
(= 2
4)M
1(d
ep) f
or “
24”
: 32
A1
cao
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
6363Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
Pape
r 1M
A1:
2F
Que
stio
nW
orki
ngA
nsw
erN
otes
19(a
)Ta
ble
com
plet
eB
1ca
o
(bi)
1 10B
1fo
r 1 10
oe o
r ft f
rom
tabl
e
(bii)
7 10B
1fo
r 7 10
oe o
r ft f
rom
tabl
e
201.
52M
1fo
r 20
× 4.
55 ÷
60
A1
for 1
.52
or 1
.516
(....)
218
M1
for f
indi
ng th
e H
CF
of a
ny tw
o of
the
thre
e nu
mbe
rs o
rfo
r 25
and
3 ×
24 an
d 23
× 32
A1
cao
22Tr
ansl
atio
n by�4 −3�
B1
for t
rans
latio
n
B1
�4 −3�
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
6464 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
Pape
r 1M
A1:
2F
Que
stio
nW
orki
ngA
nsw
erN
otes
23(a
)Tr
end
desc
ribed
C1
for “
perc
enta
ge o
f peo
ple
who
use
the
shop
de
crea
ses”
oe
(bi)
13-1
7P1
for p
roce
ss to
dra
w tr
end
line
on g
raph
A1
for 1
3 -1
7
(bii)
No
+ re
ason
C1
for c
omm
ent,
eg “
no, b
ecau
se 2
020
is b
eyon
d th
e tim
e pe
riod
cove
red
by th
e gi
ven
data
”
24(a
)13
y−
1M
1fo
r exp
ansi
on o
f one
bra
cket
A1
for f
ull
sim
plifi
catio
n
(b)
35u3 w
7B
1fo
r 2 o
f 35,
u3an
dw
7co
rrec
tB
1ca
o
2510
5P1
for p
roce
ss to
find
the
exte
rior a
ngle
or i
nter
ior
angl
e of
a h
exag
on o
r oct
agon
P1fo
r pro
cess
to fi
nd th
e bo
th e
xter
ior a
ngle
s or
bo
th in
terio
r ang
les
A1
for 1
05 f
rom
cor
rect
wor
king
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
6565Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
Pape
r 1M
A1:
2F
Que
stio
nW
orki
ngA
nsw
erN
otes
26(a
)(i)
10, 1
2, 1
4, 1
5, 1
6,
18B
1ca
o
(ii)
12, 1
8B
1ca
o
(b)
7 10M
1fo
r 7 o
r ind
icat
ing
corr
ect r
egio
n or
for 1
0, 1
4,
16, 1
1, 1
3, 1
7, 1
9 lis
ted
A1
for 7 10
oe
276
:5 =
12
:10
2 : 1
= 1
0 : 5
70P1
for s
trate
gy to
star
t to
solv
e th
e pr
oble
m
eg 1
2 : 1
0 an
d 10
: 5
C :
S : P
= 1
2 : 1
0 : 5
P1fo
r pro
cess
to so
lve
the
prob
lem
eg 10 27 ×
189
10 27 ×
189
A1
cao
281 4
× π
× 4.
8²6.
58B
1fo
r use
of f
orm
ula
for a
rea
of a
circ
le
1 2×
4.8
× 4.
8P1
for c
ompl
ete
proc
ess t
o fin
d ar
ea o
f sha
ded
regi
on1 4
× π
× 4.
8² −
1 2×
4.8
× 4.
8A
1fo
r 6.5
6 –
6.58
Centre Number Candidate Number
Write your name hereSurname Other names
Total Marks
Paper Reference
Turn over
S50159A©2015 Pearson Education Ltd.
6/6/4/
*S50159A0124*
Mathematics Paper 3 (Calculator)
Foundation TierSpecimen Papers Set 2
Time: 1 hour 30 minutes 1MA1/3FYou must have: Ruler graduated in centimetres and millimetres, protractor, pair of compasses, pen, HB pencil, eraser, calculator.
Instructions
• Use black ink or ball-point pen.• Fill in the boxes at the top of this page with your name, centre number and candidate number.• Answer all questions.• Answer the questions in the spaces provided
– there may be more space than you need.• Calculators may be used.• If your calculator does not have a π button, take the value of π to be 3.142
unless the question instructs otherwise.• Diagrams are NOT accurately drawn, unless otherwise indicated.• You must show all your working out.
Information
• The total mark for this paper is 80• The marks for each question are shown in brackets
– use this as a guide as to how much time to spend on each question.
Advice
• Read each question carefully before you start to answer it.• Keep an eye on the time.• Try to answer every question.• Check your answers if you have time at the end.
Pearson Edexcel Level 1/Level 2 GCSE (9 - 1)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
6666 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
Pape
r 1M
A1:
2F
Que
stio
nW
orki
ngA
nsw
erN
otes
29⦟
ADB
= 72
° (ba
se a
ngle
s of
isos
cele
s tria
ngle
ABD
)R
esul
t sho
wn
M1
for ⦟
ADB
= 72
° an
d ⦟
BAD
= 18
0° −
2 ×
72°
⦟BA
D=
180°
− 2
× 7
2°
(ang
le su
m o
f a tr
iang
le is
18
0°)
M1
for ⦟
BCA
= “3
6°”
⦟BC
A=
36° (
base
ang
les
of is
osce
les t
riang
le A
BC)
M1
for ⦟
BDC
= 18
0° −
72°
⦟BD
C=
180°
− 7
2° (a
ngle
s on
a st
raig
ht li
ne su
m to
18
0°)
C1
for c
ompl
ete
chai
n of
reas
onin
g to
find
ang
le
DBC
= 36
° an
d on
e co
rrec
t rea
son
⦟D
BC=
180°
− 3
6° −
108
° (a
ngle
sum
of a
tria
ngle
is
180°
)
C1
C1
depe
nden
t on
all p
revi
ous m
arks
for c
orre
ct
dedu
ctio
n an
d fu
ll re
ason
s.
Centre Number Candidate Number
Write your name hereSurname Other names
Total Marks
Paper Reference
Turn over
S50159A©2015 Pearson Education Ltd.
6/6/4/
*S50159A0124*
Mathematics Paper 3 (Calculator)
Foundation TierSpecimen Papers Set 2
Time: 1 hour 30 minutes 1MA1/3FYou must have: Ruler graduated in centimetres and millimetres, protractor, pair of compasses, pen, HB pencil, eraser, calculator.
Instructions
• Use black ink or ball-point pen.• Fill in the boxes at the top of this page with your name, centre number and candidate number.• Answer all questions.• Answer the questions in the spaces provided
– there may be more space than you need.• Calculators may be used.• If your calculator does not have a π button, take the value of π to be 3.142
unless the question instructs otherwise.• Diagrams are NOT accurately drawn, unless otherwise indicated.• You must show all your working out.
Information
• The total mark for this paper is 80• The marks for each question are shown in brackets
– use this as a guide as to how much time to spend on each question.
Advice
• Read each question carefully before you start to answer it.• Keep an eye on the time.• Try to answer every question.• Check your answers if you have time at the end.
Pearson Edexcel Level 1/Level 2 GCSE (9 - 1)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
6767Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
3
*S50159A0324* Turn over
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
6 Coffee is sold in jars. There are 200g of coffee in each jar.
Ben makes 8 cups of coffee each day. He thinks he uses 2g of coffee to make each cup of coffee.
Ben wants to buy enough coffee for 28 days.
(a) How many jars of coffee does Ben need to buy?
... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(3)
Ben finds that he uses 2.5 g of coffee to make each cup of coffee.
(b) How does this affect the number of jars of coffee he needs to buy? You must give a reason for your answer.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(2)
(Total for Question 6 is 5 marks)
7 Write down three different factors of 18 that add together to give a prime number.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 7 is 2 marks)
2
*S50159A0224*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
Answer ALL questions.
Write your answers in the spaces provided.
You must write down all the stages in your working.
1 Change 4500g to kg.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . kg
(Total for Question 1 is 1 mark)
2 Write 0.19 as a fraction.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 2 is 1 mark)
3 Write down an even number that is a multiple of 7
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 3 is 1 mark)
4 On the grid, draw a parallelogram.
(Total for Question 4 is 1 mark)
5 Write 35
as a percentage.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . %
(Total for Question 5 is 1 mark)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
6868 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
3
*S50159A0324* Turn over
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
6 Coffee is sold in jars. There are 200g of coffee in each jar.
Ben makes 8 cups of coffee each day. He thinks he uses 2g of coffee to make each cup of coffee.
Ben wants to buy enough coffee for 28 days.
(a) How many jars of coffee does Ben need to buy?
... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(3)
Ben finds that he uses 2.5 g of coffee to make each cup of coffee.
(b) How does this affect the number of jars of coffee he needs to buy? You must give a reason for your answer.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(2)
(Total for Question 6 is 5 marks)
7 Write down three different factors of 18 that add together to give a prime number.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 7 is 2 marks)
2
*S50159A0224*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
Answer ALL questions.
Write your answers in the spaces provided.
You must write down all the stages in your working.
1 Change 4500g to kg.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . kg
(Total for Question 1 is 1 mark)
2 Write 0.19 as a fraction.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 2 is 1 mark)
3 Write down an even number that is a multiple of 7
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 3 is 1 mark)
4 On the grid, draw a parallelogram.
(Total for Question 4 is 1 mark)
5 Write 35
as a percentage.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . %
(Total for Question 5 is 1 mark)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
6969Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
5
*S50159A0524* Turn over
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
10 The stem and leaf diagram gives information about the speeds of 27 cars.
Key:3 8 means 38 miles per hour
3 8
4 1 3 4 6 7 8 8 9 9
5 2 2 4 6 7 7 8 8 9
6 1 1 2 2 2 2 3
7 0
(a) Find the median speed.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . miles per hour(1)
(b) Work out the range.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . miles per hour(1)
One of the cars is chosen at random.
Jack says,
“The probability that the speed of this car is more than 60 miles per hour is 13
”
(c) Jack is wrong. Explain why.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(2)
(Total for Question 10 is 4 marks)
4
*S50159A0424*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
8 A model plane has a length of 17cm.
The scale of the model is 1:200
Work out the length of the real plane. Give your answer in metres.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . metres
(Total for Question 8 is 2 marks)
9 (a) Find the value of 3 97 336.
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
(b) Find the value of 7 29 2 3 0 85 2. ( . . )+ −
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(2)
(Total for Question 9 is 3 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
7070 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
5
*S50159A0524* Turn over
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
10 The stem and leaf diagram gives information about the speeds of 27 cars.
Key:3 8 means 38 miles per hour
3 8
4 1 3 4 6 7 8 8 9 9
5 2 2 4 6 7 7 8 8 9
6 1 1 2 2 2 2 3
7 0
(a) Find the median speed.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . miles per hour(1)
(b) Work out the range.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . miles per hour(1)
One of the cars is chosen at random.
Jack says,
“The probability that the speed of this car is more than 60 miles per hour is 13
”
(c) Jack is wrong. Explain why.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(2)
(Total for Question 10 is 4 marks)
4
*S50159A0424*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
8 A model plane has a length of 17cm.
The scale of the model is 1:200
Work out the length of the real plane. Give your answer in metres.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . metres
(Total for Question 8 is 2 marks)
9 (a) Find the value of 3 97 336.
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
(b) Find the value of 7 29 2 3 0 85 2. ( . . )+ −
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(2)
(Total for Question 9 is 3 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
7171Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
7
*S50159A0724* Turn over
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
12 Ibrar buys 3kg of apples. He also buys 0.4kg of mushrooms. The total cost is £6.93
1kg of apples cost £1.95
Work out the cost of 1kg of mushrooms.
£ .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 12 is 3 marks)
6
*S50159A0624*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
11 You can use this graph to change between litres and gallons.
0 10 20 30 400
1
2
3
4
5
6
7
8
9
10
Gallons
Litres
Which is the greater, 60litres or 12gallons? You must show how you get your answer.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 11 is 2 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
7272 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
7
*S50159A0724* Turn over
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
12 Ibrar buys 3kg of apples. He also buys 0.4kg of mushrooms. The total cost is £6.93
1kg of apples cost £1.95
Work out the cost of 1kg of mushrooms.
£ .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 12 is 3 marks)
6
*S50159A0624*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
11 You can use this graph to change between litres and gallons.
0 10 20 30 400
1
2
3
4
5
6
7
8
9
10
Gallons
Litres
Which is the greater, 60litres or 12gallons? You must show how you get your answer.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 11 is 2 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
7373Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
9
*S50159A0924* Turn over
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
14 You can use this rule to work out the total cost, in pounds, of hiring a carpet cleaner.
Multiply the number of days by 7.8 and then add 12
Andy hires a carpet cleaner. The total cost is £82.20
(a) Work out the number of days Andy hires the carpet cleaner for.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .days(2)
Chloe hires a carpet cleaner for y days. The total cost is £T.
(b) Write down a formula for T in terms of y.
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(2)
(Total for Question 14 is 4 marks)
8
*S50159A0824*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
13
E
D
BA C35°
30°95°
y° x°
y°
ABC is a straight line. BCD is a triangle. ABDE is a quadrilateral.
(a) (i) Work out the value of x.
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(ii) Give a reason for your answer.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(2)
(b) Work out the value of y.
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(2)
(Total for Question 13 is 4 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
7474 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
9
*S50159A0924* Turn over
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
14 You can use this rule to work out the total cost, in pounds, of hiring a carpet cleaner.
Multiply the number of days by 7.8 and then add 12
Andy hires a carpet cleaner. The total cost is £82.20
(a) Work out the number of days Andy hires the carpet cleaner for.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .days(2)
Chloe hires a carpet cleaner for y days. The total cost is £T.
(b) Write down a formula for T in terms of y.
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(2)
(Total for Question 14 is 4 marks)
8
*S50159A0824*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
13
E
D
BA C35°
30°95°
y° x°
y°
ABC is a straight line. BCD is a triangle. ABDE is a quadrilateral.
(a) (i) Work out the value of x.
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(ii) Give a reason for your answer.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(2)
(b) Work out the value of y.
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(2)
(Total for Question 13 is 4 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
7575Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
11
*S50159A01124* Turn over
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
16 Ross rolled an ordinary dice 30 times.
The frequency table gives information about his results.
Score Frequency
1 7
2 5
3 4
4 4
5 6
6 4
Ross worked out the mean score as 8
(a) Explain why it is impossible for the mean score to be 8
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
Graham also worked out the mean score.
Here is his working.
1 × 7 + 2 × 5 + 3 × 4 + 4 × 4 + 5 × 6 + 6 × 4 = 99
99 ÷ 6 = 16.5
The mean score is 16.5
(b) Describe the mistake Graham made in his method to work out the mean score.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
(Total for Question 16 is 2 marks)
10
*S50159A01024*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
15 There are 35 pens in a box. 15 of the pens are green. The rest of the pens are red.
(a) What fraction of the pens in the box are red?
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
(b) Write down the ratio of the number of green pens to the number of red pens. Give your ratio in its simplest form.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(2)
(Total for Question 15 is 3 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
7676 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
11
*S50159A01124* Turn over
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
16 Ross rolled an ordinary dice 30 times.
The frequency table gives information about his results.
Score Frequency
1 7
2 5
3 4
4 4
5 6
6 4
Ross worked out the mean score as 8
(a) Explain why it is impossible for the mean score to be 8
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
Graham also worked out the mean score.
Here is his working.
1 × 7 + 2 × 5 + 3 × 4 + 4 × 4 + 5 × 6 + 6 × 4 = 99
99 ÷ 6 = 16.5
The mean score is 16.5
(b) Describe the mistake Graham made in his method to work out the mean score.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
(Total for Question 16 is 2 marks)
10
*S50159A01024*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
15 There are 35 pens in a box. 15 of the pens are green. The rest of the pens are red.
(a) What fraction of the pens in the box are red?
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
(b) Write down the ratio of the number of green pens to the number of red pens. Give your ratio in its simplest form.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(2)
(Total for Question 15 is 3 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
7777Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
13
*S50159A01324*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
Turn over
18 The diagram shows the positions of two churches, A and B.
N
N
A
B
25°
Amber says,
“The bearing of church B from church A is 025°”
Amber is wrong. Explain why.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 18 is 1 mark)
12
*S50159A01224*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
17 Amelia, Hayden and Sophie did a test. The total for the test was 75 marks.
Amelia got 56% of the 75 marks.
Hayden got 815
of the 75 marks.
Sophie got 43 out of 75
Who got the highest mark? You must show all your working.
(Total for Question 17 is 3 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
7878 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
13
*S50159A01324*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
Turn over
18 The diagram shows the positions of two churches, A and B.
N
N
A
B
25°
Amber says,
“The bearing of church B from church A is 025°”
Amber is wrong. Explain why.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 18 is 1 mark)
12
*S50159A01224*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
17 Amelia, Hayden and Sophie did a test. The total for the test was 75 marks.
Amelia got 56% of the 75 marks.
Hayden got 815
of the 75 marks.
Sophie got 43 out of 75
Who got the highest mark? You must show all your working.
(Total for Question 17 is 3 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
7979Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
15
*S50159A01524* Turn over
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
21 Here are the first five terms of an arithmetic sequence.
– 3 1 5 9 13
Find an expression, in terms of n, for the nth term of this sequence.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 21 is 2 marks)
22 The ratio of the number of boys to the number of girls in a school is 4:5 There are 95 girls in the school.
Work out the total number of students in the school.
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 22 is 3 marks)
14
*S50159A01424*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
19 There are only blue counters, green counters, red counters and yellow counters in a bag. George is going to take at random a counter from the bag.
The table shows each of the probabilities that George will take a blue counter or a green counter or a yellow counter.
Colour blue green red yellow
Probability 0.5 0.2 0.25
(a) Work out the probability that George will take a red counter.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
There are 120 counters in the bag.
(b) Work out the number of green counters in the bag.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(2)
(Total for Question 19 is 3 marks)
20 (a) Show the inequality –2 x < 3 on the number line below.
–4 –3 –2 –1 0 1 2 3 4 5 x
(2)
(b) Solve the inequality 4y + 7 < 16
... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(2)
(Total for Question 20 is 4 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
8080 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
15
*S50159A01524* Turn over
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
21 Here are the first five terms of an arithmetic sequence.
– 3 1 5 9 13
Find an expression, in terms of n, for the nth term of this sequence.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 21 is 2 marks)
22 The ratio of the number of boys to the number of girls in a school is 4:5 There are 95 girls in the school.
Work out the total number of students in the school.
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 22 is 3 marks)
14
*S50159A01424*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
19 There are only blue counters, green counters, red counters and yellow counters in a bag. George is going to take at random a counter from the bag.
The table shows each of the probabilities that George will take a blue counter or a green counter or a yellow counter.
Colour blue green red yellow
Probability 0.5 0.2 0.25
(a) Work out the probability that George will take a red counter.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
There are 120 counters in the bag.
(b) Work out the number of green counters in the bag.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(2)
(Total for Question 19 is 3 marks)
20 (a) Show the inequality –2 x < 3 on the number line below.
–4 –3 –2 –1 0 1 2 3 4 5 x
(2)
(b) Solve the inequality 4y + 7 < 16
... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(2)
(Total for Question 20 is 4 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
8181Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
17
*S50159A01724* Turn over
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
24 Make t the subject of the formula y = t3
– 2a
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 24 is 2 marks)
25 Jim rounds a number, x, to one decimal place. The result is 7.2
Write down the error interval for x.
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 25 is 2 marks)
16
*S50159A01624*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
23 The diagram represents a solid made from seven centimetre cubes.
On the centimetre grid below, draw a plan of the solid.
(Total for Question 23 is 2 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
8282 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
17
*S50159A01724* Turn over
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
24 Make t the subject of the formula y = t3
– 2a
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 24 is 2 marks)
25 Jim rounds a number, x, to one decimal place. The result is 7.2
Write down the error interval for x.
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 25 is 2 marks)
16
*S50159A01624*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
23 The diagram represents a solid made from seven centimetre cubes.
On the centimetre grid below, draw a plan of the solid.
(Total for Question 23 is 2 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
8383Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
19
*S50159A01924*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
Turn over
27 At a depth of x metres, the temperature of the water in an ocean is T °C. At depths below 900 metres, T is inversely proportional to x.
T is given by
Tx
= 4500
(a) Work out the difference in the temperature of the water at a depth of 1200 metres and the temperature of the water at a depth of 2500 metres.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .°C (3)
Here are four graphs.
T
O x
A T
O x
B
T
O x
C T
O x
D
One of the graphs could show that T is inversely proportional to x.
(b) Write down the letter of this graph.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
(Total for Question 27 is 4 marks)
26 Katie measured the length and the width of each of 10 pine cones from the same tree.
She used her results to draw this scatter graph.
0 1 2 3 4 50
1
2
3
4
5
6
Width (cm)
Length (cm)
(a) Describe one improvement Katie can make to her scatter graph.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
The point representing the results for one of the pine cones is an outlier.
(b) Explain how the results for this pine cone differ from the results for the other pine cones.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
(Total for Question 26 is 2 marks)
18
*S50159A01824*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
26 Katie measured the length and the width of each of 10 pine cones from the same tree.
She used her results to draw this scatter graph.
0 1 2 3 4 50
1
2
3
4
5
6
Width (cm)
Length (cm)
(a) Describe one improvement Katie can make to her scatter graph.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
The point representing the results for one of the pine cones is an outlier.
(b) Explain how the results for this pine cone differ from the results for the other pine cones.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
(Total for Question 26 is 2 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
8484 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
19
*S50159A01924*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
Turn over
27 At a depth of x metres, the temperature of the water in an ocean is T °C. At depths below 900 metres, T is inversely proportional to x.
T is given by
Tx
= 4500
(a) Work out the difference in the temperature of the water at a depth of 1200 metres and the temperature of the water at a depth of 2500 metres.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .°C (3)
Here are four graphs.
T
O x
A T
O x
B
T
O x
C T
O x
D
One of the graphs could show that T is inversely proportional to x.
(b) Write down the letter of this graph.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
(Total for Question 27 is 4 marks)
26 Katie measured the length and the width of each of 10 pine cones from the same tree.
She used her results to draw this scatter graph.
0 1 2 3 4 50
1
2
3
4
5
6
Width (cm)
Length (cm)
(a) Describe one improvement Katie can make to her scatter graph.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
The point representing the results for one of the pine cones is an outlier.
(b) Explain how the results for this pine cone differ from the results for the other pine cones.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
(Total for Question 26 is 2 marks)
18
*S50159A01824*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
26 Katie measured the length and the width of each of 10 pine cones from the same tree.
She used her results to draw this scatter graph.
0 1 2 3 4 50
1
2
3
4
5
6
Width (cm)
Length (cm)
(a) Describe one improvement Katie can make to her scatter graph.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
The point representing the results for one of the pine cones is an outlier.
(b) Explain how the results for this pine cone differ from the results for the other pine cones.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
(Total for Question 26 is 2 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
8585Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
21
*S50159A02124* Turn over
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
29 The diagram shows an oil tank in the shape of a prism. The cross section of the prism is a trapezium.
3m
2.5m1.4m
2.4m
Only fill to85%
of capacity
The tank is empty.
Oil flows into the tank. After one minute there are 300 litres of oil in the tank.
Assume that oil continues to flow into the tank at this rate.
(a) Work out how many more minutes it takes for the tank to be 85% full of oil. (1 m3 = 1000 litres)
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . minutes(5)
The assumption about the rate of flow of the oil could be wrong.
(b) Explain how this could affect your answer to part (a).
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
(Total for Question 29 is 6 marks)
20
*S50159A02024*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
28 Here is a right-angled triangle.
xy
Four of these triangles are joined to enclose the square ABCD as shown below.
A
B
C
D
Show that the area of the square ABCD is x2 + y2
(Total for Question 28 is 3 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
8686 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
21
*S50159A02124* Turn over
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
29 The diagram shows an oil tank in the shape of a prism. The cross section of the prism is a trapezium.
3m
2.5m1.4m
2.4m
Only fill to85%
of capacity
The tank is empty.
Oil flows into the tank. After one minute there are 300 litres of oil in the tank.
Assume that oil continues to flow into the tank at this rate.
(a) Work out how many more minutes it takes for the tank to be 85% full of oil. (1 m3 = 1000 litres)
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . minutes(5)
The assumption about the rate of flow of the oil could be wrong.
(b) Explain how this could affect your answer to part (a).
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
(Total for Question 29 is 6 marks)
20
*S50159A02024*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
28 Here is a right-angled triangle.
xy
Four of these triangles are joined to enclose the square ABCD as shown below.
A
B
C
D
Show that the area of the square ABCD is x2 + y2
(Total for Question 28 is 3 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
8787Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
23
*S50159A02324*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
BLANK PAGE
22
*S50159A02224*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
30
2x
3x
2x – 1
x – 3 x + 3 5
x + 3
In the diagram all measurements are in centimetres.
The perimeter of the quadrilateral is twice the perimeter of the triangle.
Work out the perimeter of the quadrilateral.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . cm
(Total for Question 30 is 4 marks)
TOTAL FOR PAPER IS 80 MARKS
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
8888 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
23
*S50159A02324*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
BLANK PAGE
22
*S50159A02224*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
30
2x
3x
2x – 1
x – 3 x + 3 5
x + 3
In the diagram all measurements are in centimetres.
The perimeter of the quadrilateral is twice the perimeter of the triangle.
Work out the perimeter of the quadrilateral.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . cm
(Total for Question 30 is 4 marks)
TOTAL FOR PAPER IS 80 MARKS
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
8989Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
24
*S50159A02424*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
BLANK PAGE
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
9090 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
24
*S50159A02424*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
BLANK PAGE
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
9191Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
Pape
r 1M
A1:
3F
Que
stio
nW
orki
ngA
nsw
erN
otes
14.
5B
1 ca
o
210
019
B1
cao
3ev
en m
ult o
f 7B
1fo
r an
even
mul
tiple
of 7
4pa
ralle
logr
amB
1fo
r par
alle
logr
am d
raw
n
560
B1
cao
6(a
)3
P1st
art o
f pro
cess
eg
8×2×
28 (=
448
)P1
eg ‘4
48’ ÷
200
(= 2
.24)
or b
uild
up
met
hod
A1
cao
(b)
No
chan
ge w
ith
P1pr
oces
s to
eval
uate
eff
ect o
f 2.5
gre
ason
C1
expl
anat
ion
that
num
ber o
f jar
s is u
ncha
nged
71,
3,9
or 2
,6,9
or
M1
3 fa
ctor
s of 1
8 or
3 n
umbe
rs w
ith p
rime
tota
l2,
3,6
or 2
,3,1
8or
2,9
,18
A1
eg 2
, 3, 6
834
M1
A1
for f
irst s
tep
in p
roce
ss e
g 17
×200
(= 3
400)
ca
o
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
9292 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
Pape
r 1M
A1:
3F
Que
stio
nW
orki
ngA
nsw
erN
otes
9(a
)4.
6B
1ca
o
(b)
4.80
25B
1fo
r 2.7
or 2
.102
5 (im
plie
d by
ans
wer
of 4
.802
5)B
1ca
o
10(a
)56
B1
cao
(b)
32B
1ca
o
(c)
Rea
son
C1
star
ts a
rgum
ent e
g 8
cars
or 8
/27
C1
com
plet
es a
rgum
ent e
g w
ith 1
/3 =
9/2
7
1160
litre
s with
ev
iden
ceM
1re
ads f
rom
gra
ph, e
g 30
l= 6
.6 g
als o
r 6 g
als =
27
lC
160
litre
s with
suff
icie
nt e
vide
nce
122.
70P1
star
t of p
roce
ss 1
.95×
3 (=
5.8
5)P1
com
plet
e pr
oces
s eg
(6.9
3 –
‘5.8
5’) ÷
0.4
A1
cao
13(a
) i11
5B
1ca
oii
C1
angl
es in
a tr
iang
le a
dd to
180
(b)
100
P1co
mpl
ete
proc
ess t
o fin
d y
ft fr
om (a
)A
1fo
r 100
or f
t fro
m (a
)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
9393Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
Pape
r 1M
A1:
3F
Que
stio
nW
orki
ngA
nsw
erN
otes
14(a
)9
M1
for –
12 a
nd ÷
7.8
0A
1ca
o(b
)T
= 7.
8y+
12C
1fo
r 7.8
y+
12 o
r T=
linea
r exp
ress
ion
in y
C1
T=
7.8y
+ 12
oe
15(a
)3520
B1
3520oe
(b)
3 : 4
M1
15 :
20A
1ca
o
16(a
)N
o an
d re
ason
C1
No
and
reas
on e
g th
e m
ean
mus
t be
less
than
6
(b)
expl
anat
ion
C1
Shou
ld h
ave
divi
ded
by 3
0, n
ot b
y 6
17So
phie
and
co
rrec
tP1
proc
ess l
eadi
ng to
two
com
para
ble
valu
es e
g 75
÷15×
8 (=
40)
or 5
6÷10
0×75
(=42
) oe
valu
esP1
com
plet
e pr
oces
s lea
ding
to 3
com
para
ble
valu
esC
1co
rrec
t ded
uctio
n w
ith c
orre
ct c
ompa
rabl
e va
lues
18ex
plan
atio
nC
1‘T
he b
earin
g is
335
o ’ or ‘
She
shou
ld h
ave
mea
sure
d cl
ockw
ise
from
nor
th’ o
e
19(a
)0.
05B
1ca
o
(b)
24M
1fo
r 120
× 0
.2 o
eA
1ca
o
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
9494 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
Pape
r 1M
A1:
3F
Que
stio
nW
orki
ngA
nsw
erN
otes
20(a
)di
agra
mC
1C
1lin
e dr
awn
from
–2 to
3ca
o
(b)
y<
2.25
M1
A1
for c
lear
inte
ntio
n to
subt
ract
7 fr
om b
oth
side
s of
ineq
ualit
y or
equ
atio
n or
div
ide
all t
erm
s of
ineq
ualit
y or
equ
atio
n by
4 o
r 4y
< 9
or 2
.25
oe
y<
2.25
oe
as fi
nal a
nsw
er
214n
–7
M1
met
hod
to d
educ
e nt
h te
rm e
.g. 4
n+
kA
1fo
r 4n
–7
oe
2217
1P1
for p
roce
ss to
find
one
shar
eP1
for p
roce
ss to
find
tota
lA
1ca
o
23pl
anC
1a
parti
ally
cor
rect
pla
nC
1co
rrec
t pla
n
24t=
3(y
+ 2a
)M
1ad
ding
2a
to b
oth
side
s or m
ultip
lyin
g ea
ch te
rm
by 3
A1
t= 3
(y+
2a) o
r t=
3y+
6a
257.
15 ≤
x<
7.25
B1
for 7
.15
and
7.25
B1
cao
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
9595Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
Pape
r 1M
A1:
3F
Que
stio
nW
orki
ngA
nsw
erN
otes
26(a
)im
prov
emen
tC
1ap
prop
riate
impr
ovem
ent e
g do
not
hav
e ax
es
star
ting
at (0
, 0)
(b)
expl
anat
ion
C1
expl
anat
ion
eg p
ine
cone
has
a v
ery
shor
t wid
th
for i
ts le
ngth
27(a
)1.
95M
1m
etho
d to
find
one
tem
pera
ture
eg 4
500
÷ 12
00M
1fo
r com
plet
e m
etho
dA
1ca
o
(b)
DB
1ca
o
28co
mpl
ete
chai
n of
reas
onin
gC
1st
arts
cha
in o
f rea
soni
ng e
g fin
ds a
rea
of la
rge
squa
re a
nd a
rea
of tr
iang
le o
r use
of P
ytha
gora
s C
1fo
r (x
+y)
2–
4× (x
×y÷2
) oe
or
22
yx
+×
22
yx
+C
1co
mpl
ete
chai
n of
reas
onin
g w
ith c
orre
ct a
lgeb
ra
Centre Number Candidate Number
Write your name hereSurname Other names
Total Marks
Paper Reference
Turn over
S50156A©2015 Pearson Education Ltd.
6/6/4/
*S50156A0116*
MathematicsPaper 1 (Non-Calculator)
Higher TierSpecimen Papers Set 2
Time: 1 hour 30 minutes 1MA1/1HYou must have: Ruler graduated in centimetres and millimetres, protractor, pair of compasses, pen, HB pencil, eraser.
Instructions
• Use black ink or ball-point pen.• Fill in the boxes at the top of this page with your name, centre number and candidate number.• Answer all questions.• Answer the questions in the spaces provided
– there may be more space than you need.• Calculators may not be used.• Diagrams are NOT accurately drawn, unless otherwise indicated.• You must show all your working out.
Information
• The total mark for this paper is 80• The marks for each question are shown in brackets
– use this as a guide as to how much time to spend on each question.
Advice
• Read each question carefully before you start to answer it.• Keep an eye on the time.• Try to answer every question.• Check your answers if you have time at the end.
Pearson Edexcel Level 1/Level 2 GCSE (9 - 1)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
9696 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
Pape
r 1M
A1:
3F
Que
stio
nW
orki
ngA
nsw
erN
otes
29(a
)36
.4P1
star
t pro
cess
eg
met
hod
to fi
nd a
rea
of tr
apez
ium
P1co
mpl
ete
proc
ess t
o fin
d vo
lum
e of
tank
P1pr
oces
s to
find
time
eg v
olum
e ×
1000
÷ 3
00P1
proc
ess t
o fin
d 85
% o
f vol
ume
or o
f tim
eA
1fo
r 36.
4 or
36
min
s 24
secs
(b)
C1
expl
anat
ion
eg if
the
aver
age
rate
was
slow
er it
w
ould
take
mor
e tim
e, if
the
aver
age
rate
was
fa
ster
it w
ould
take
less
tim
e
3048
P1pr
oces
s to
star
t sol
ving
pro
blem
, eg
form
s an
appr
opria
te e
quat
ion
P1co
mpl
ete
proc
ess t
o is
olat
e te
rms i
n x
A1
for x
= 6.
5 oe
B1
ft (d
ep P
1) fo
r cor
rect
per
imet
er fo
r the
ir x
Centre Number Candidate Number
Write your name hereSurname Other names
Total Marks
Paper Reference
Turn over
S50156A©2015 Pearson Education Ltd.
6/6/4/
*S50156A0116*
MathematicsPaper 1 (Non-Calculator)
Higher TierSpecimen Papers Set 2
Time: 1 hour 30 minutes 1MA1/1HYou must have: Ruler graduated in centimetres and millimetres, protractor, pair of compasses, pen, HB pencil, eraser.
Instructions
• Use black ink or ball-point pen.• Fill in the boxes at the top of this page with your name, centre number and candidate number.• Answer all questions.• Answer the questions in the spaces provided
– there may be more space than you need.• Calculators may not be used.• Diagrams are NOT accurately drawn, unless otherwise indicated.• You must show all your working out.
Information
• The total mark for this paper is 80• The marks for each question are shown in brackets
– use this as a guide as to how much time to spend on each question.
Advice
• Read each question carefully before you start to answer it.• Keep an eye on the time.• Try to answer every question.• Check your answers if you have time at the end.
Pearson Edexcel Level 1/Level 2 GCSE (9 - 1)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
9797Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
3
*S50156A0316* Turn over
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
2 The diagram shows a square with perimeter 16 cm.
3 cm
2 cm
Work out the proportion of the area inside the square that is shaded.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 2 is 5 marks)
2
*S50156A0216*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
Answer ALL questions.
Write your answers in the spaces provided.
You must write down all the stages in your working.
1 (a) Factorise y2 + 27y
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
(b) Simplify (t3)2
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
(c) Simplify ww
9
4
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
(Total for Question 1 is 3 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
9898 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
3
*S50156A0316* Turn over
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
2 The diagram shows a square with perimeter 16 cm.
3 cm
2 cm
Work out the proportion of the area inside the square that is shaded.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 2 is 5 marks)
2
*S50156A0216*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
Answer ALL questions.
Write your answers in the spaces provided.
You must write down all the stages in your working.
1 (a) Factorise y2 + 27y
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
(b) Simplify (t3)2
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
(c) Simplify ww
9
4
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
(Total for Question 1 is 3 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
9999Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
5
*S50156A0516* Turn over
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
4 Triangle ABC has perimeter 20 cm.
AB = 7 cm. BC = 4 cm.
By calculation, deduce whether triangle ABC is a right-angled triangle.
(Total for Question 4 is 4 marks)
5 One sheet of A3 card has area 18
m2.
The card has a mass of 160 g per m2.
Work out the total mass of 25 sheets of A3 card.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 5 is 4 marks)
4
*S50156A0416*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
3 David has designed a game. He uses a fair 6-sided dice and a fair 5-sided spinner. The dice is numbered 1 to 6 The spinner is numbered 1 to 5
Each player rolls the dice once and spins the spinner once. A player can win £5 or win £2
Win £2
roll a 1or
spin a 1or
both
Win £5
roll a 5and
spin a 5
David expects 30 people will play his game. Each person will pay David £1 to play the game.
(a) Work out how much profit David can expect to make.
£.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(4)
(b) Give a reason why David’s actual profit may be different to the profit he expects to make.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
(Total for Question 3 is 5 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
100100 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
5
*S50156A0516* Turn over
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
4 Triangle ABC has perimeter 20 cm.
AB = 7 cm. BC = 4 cm.
By calculation, deduce whether triangle ABC is a right-angled triangle.
(Total for Question 4 is 4 marks)
5 One sheet of A3 card has area 18
m2.
The card has a mass of 160 g per m2.
Work out the total mass of 25 sheets of A3 card.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 5 is 4 marks)
4
*S50156A0416*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
3 David has designed a game. He uses a fair 6-sided dice and a fair 5-sided spinner. The dice is numbered 1 to 6 The spinner is numbered 1 to 5
Each player rolls the dice once and spins the spinner once. A player can win £5 or win £2
Win £2
roll a 1or
spin a 1or
both
Win £5
roll a 5and
spin a 5
David expects 30 people will play his game. Each person will pay David £1 to play the game.
(a) Work out how much profit David can expect to make.
£.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(4)
(b) Give a reason why David’s actual profit may be different to the profit he expects to make.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
(Total for Question 3 is 5 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
101101Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
7
*S50156A0716* Turn over
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
7 A shop has a sale.
Microwave ovens
13
off normal price
Combination ovens
40% off normal price
A microwave oven has a sale price of £90 A combination oven has a sale price of £84
Which of these ovens has the greater normal price? You must show all your working.
(Total for Question 7 is 4 marks)
8 Work out an estimate for 4 98 2 16 7 35. . .+ ×
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 8 is 3 marks)
6
*S50156A0616*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
6 (a) Work out 2 14
313
×
Give your answer as a mixed number in its simplest form.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(3)
(b) Write the numbers 3, 4, 5 and 6 in the boxes to give the greatest possible total. You may write each number only once.
1 +
2
(1)
(Total for Question 6 is 4 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
102102 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
7
*S50156A0716* Turn over
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
7 A shop has a sale.
Microwave ovens
13
off normal price
Combination ovens
40% off normal price
A microwave oven has a sale price of £90 A combination oven has a sale price of £84
Which of these ovens has the greater normal price? You must show all your working.
(Total for Question 7 is 4 marks)
8 Work out an estimate for 4 98 2 16 7 35. . .+ ×
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 8 is 3 marks)
6
*S50156A0616*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
6 (a) Work out 2 14
313
×
Give your answer as a mixed number in its simplest form.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(3)
(b) Write the numbers 3, 4, 5 and 6 in the boxes to give the greatest possible total. You may write each number only once.
1 +
2
(1)
(Total for Question 6 is 4 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
103103Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
9
*S50156A0916* Turn over
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
11 A solid is made by putting a hemisphere on top of a cone.
x
5x
The total height of the solid is 5x The radius of the base of the cone is x The radius of the hemisphere is x
2x
h
A cylinder has the same volume as the solid. The cylinder has radius 2x and height h All measurements are in centimetres.
Find a formula for h in terms of x Give your answer in its simplest form.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 11 is 5 marks)
Volume of cone = 13πr 2h
r
h
Volume of sphere = 43πr 3
r
8
*S50156A0816*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
9 Here is a cuboid.
x
3x2x
All measurements are in centimetres. x is an integer. The total volume of the cuboid is less than 900 cm3
Show that x 5
(Total for Question 9 is 3 marks)
10 y is inversely proportional to x When x = 1.5, y = 36
Find the value of y when x = 6
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 10 is 3 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
104104 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
9
*S50156A0916* Turn over
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
11 A solid is made by putting a hemisphere on top of a cone.
x
5x
The total height of the solid is 5x The radius of the base of the cone is x The radius of the hemisphere is x
2x
h
A cylinder has the same volume as the solid. The cylinder has radius 2x and height h All measurements are in centimetres.
Find a formula for h in terms of x Give your answer in its simplest form.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 11 is 5 marks)
Volume of cone = 13πr 2h
r
h
Volume of sphere = 43πr 3
r
8
*S50156A0816*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
9 Here is a cuboid.
x
3x2x
All measurements are in centimetres. x is an integer. The total volume of the cuboid is less than 900 cm3
Show that x 5
(Total for Question 9 is 3 marks)
10 y is inversely proportional to x When x = 1.5, y = 36
Find the value of y when x = 6
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 10 is 3 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
105105Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
11
*S50156A01116* Turn over
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
13 Mr Brown gives his class a test. The 10 girls in the class get a mean mark of 70% The 15 boys in the class get a mean mark of 80%
Nick says that because the mean of 70 and 80 is 75 then the mean mark for the whole class in the test is 75%
Nick is not correct. Is the correct mean mark less than or greater than 75%? You must justify your answer.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 13 is 2 marks)
14 Show that 4 3 4 3
13
−( ) +( ) simplifies to 13
(Total for Question 14 is 2 marks)
10
*S50156A01016*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
12 ABCD is a parallelogram.
A D
CB
E
E is the point where the diagonals AC and BD meet.
Prove that triangle ABE is congruent to triangle CDE.
(Total for Question 12 is 3 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
106106 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
11
*S50156A01116* Turn over
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
13 Mr Brown gives his class a test. The 10 girls in the class get a mean mark of 70% The 15 boys in the class get a mean mark of 80%
Nick says that because the mean of 70 and 80 is 75 then the mean mark for the whole class in the test is 75%
Nick is not correct. Is the correct mean mark less than or greater than 75%? You must justify your answer.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 13 is 2 marks)
14 Show that 4 3 4 3
13
−( ) +( ) simplifies to 13
(Total for Question 14 is 2 marks)
10
*S50156A01016*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
12 ABCD is a parallelogram.
A D
CB
E
E is the point where the diagonals AC and BD meet.
Prove that triangle ABE is congruent to triangle CDE.
(Total for Question 12 is 3 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
107107Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
13
*S50156A01316* Turn over
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
17 Solve x2 – 6x – 8 = 0
Write your answer in the form a ± b where a and b are integers.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 17 is 3 marks)
18 LMN is a right-angled triangle.
N
QP
L M
Angle NLM = 90° PQ is parallel to LM.
The area of triangle PNQ is 8 cm2
The area of triangle LPQ is 16 cm2
Work out the area of triangle LQM.
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . cm2
(Total for Question 18 is 4 marks)
12
*S50156A01216*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
15 (a) Find the value of 8 1063 ×
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
(b) Find the value of 144 6412
13×
−
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(2)
(c) Solve 3 181
2x =
x = .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(2)
(Total for Question 15 is 5 marks)
16 The probability that Sanay is late for school tomorrow is 0.05 The probability that Jaden is late for school tomorrow is 0.15
Alfie says that the probability that Sanay and Jaden will both be late for school tomorrow is 0.0075 because 0.05 × 0.15 = 0.0075
What assumption has Alfie made?
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 16 is 1 mark)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
108108 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
13
*S50156A01316* Turn over
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
17 Solve x2 – 6x – 8 = 0
Write your answer in the form a ± b where a and b are integers.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 17 is 3 marks)
18 LMN is a right-angled triangle.
N
QP
L M
Angle NLM = 90° PQ is parallel to LM.
The area of triangle PNQ is 8 cm2
The area of triangle LPQ is 16 cm2
Work out the area of triangle LQM.
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . cm2
(Total for Question 18 is 4 marks)
12
*S50156A01216*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
15 (a) Find the value of 8 1063 ×
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
(b) Find the value of 144 6412
13×
−
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(2)
(c) Solve 3 181
2x =
x = .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(2)
(Total for Question 15 is 5 marks)
16 The probability that Sanay is late for school tomorrow is 0.05 The probability that Jaden is late for school tomorrow is 0.15
Alfie says that the probability that Sanay and Jaden will both be late for school tomorrow is 0.0075 because 0.05 × 0.15 = 0.0075
What assumption has Alfie made?
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 16 is 1 mark)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
109109Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
15
*S50156A01516* Turn over
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
20 Show that 3 63 10
5252 3
xx x
xx x
+− −
÷ +−
simplifies to ax where a is an integer.
(Total for Question 20 is 4 marks)
21 Solve the inequality x2 > 3(x + 6)
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 21 is 4 marks)
14
*S50156A01416*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
19 The histogram shows information about the time taken by cyclists to finish a cycle race.
70 80 90 100 110 120Time (t minutes)
Frequency density
7 cyclists took 80 minutes or less to finish the race.
(i) Work out an estimate for the number of cyclists who took more than 105 minutes to finish the race.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(ii) Explain why your answer to part (i) is only an estimate.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 19 is 4 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
110110 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
15
*S50156A01516* Turn over
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
20 Show that 3 63 10
5252 3
xx x
xx x
+− −
÷ +−
simplifies to ax where a is an integer.
(Total for Question 20 is 4 marks)
21 Solve the inequality x2 > 3(x + 6)
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 21 is 4 marks)
14
*S50156A01416*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
19 The histogram shows information about the time taken by cyclists to finish a cycle race.
70 80 90 100 110 120Time (t minutes)
Frequency density
7 cyclists took 80 minutes or less to finish the race.
(i) Work out an estimate for the number of cyclists who took more than 105 minutes to finish the race.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(ii) Explain why your answer to part (i) is only an estimate.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 19 is 4 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
111111Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
16
*S50156A01616*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
22 The line l is a tangent to the circle x2 + y2 = 40 at the point A. A is the point (2, 6).
The line l crosses the x-axis at the point P.
Work out the area of triangle OAP.
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 22 is 5 marks)
TOTAL FOR PAPER IS 80 MARKS
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
112112 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
16
*S50156A01616*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
22 The line l is a tangent to the circle x2 + y2 = 40 at the point A. A is the point (2, 6).
The line l crosses the x-axis at the point P.
Work out the area of triangle OAP.
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 22 is 5 marks)
TOTAL FOR PAPER IS 80 MARKS
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
113113Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
Pape
r 1M
A1:
1H
Que
stio
nW
orki
ngA
nsw
erN
otes
1a
y(y
+ 27
)B
1
bt6
B1
cw
5B
1
216
÷ 4
5 8P1
Usi
ng si
de le
ngth
s of 4
1×4 2 =
2 or
1 2×1 4 =1 8
2×4 2 =
4 or
1 2×1 2 =1 4
P1M
etho
d to
find
frac
tion
or a
rea
for o
ne u
nsha
ded
trian
gle
1×4 2
+ 2×
4 2=
6 or
1 2×1 4 +1 2×1 2 =
3 8 P1
Met
hod
to c
ompl
ete
frac
tion
or a
rea
for t
otal
un
shad
ed re
gion
16–
6 =
10 o
r 1 −
3 8=5 8
P1
Met
hod
to fi
nd to
tal f
ract
ion
or a
rea
for s
hade
d re
gion
A1
for 5 8
oe o
r 0.6
25
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
114114 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
Pape
r 1M
A1:
1H
Que
stio
nW
orki
ngA
nsw
erN
otes
3a
1 6×1 5
× 30
×5
= 5
(5 6×1 5
+1 6
×4 5
+ 1 6
×1 5
)×30
×230
–5
–20
5P1 P1 P1 A
1
for i
dent
ifyin
g co
rrec
t pro
cess
to fi
nd
prob
abili
ties f
or w
innn
g sc
ores
. May
incl
ude
use
of tr
ee d
iagr
am o
r sam
ple
spac
efo
r cor
rect
pro
cess
to fi
nd p
rize
mon
eyfo
r com
plet
ing
corr
ect p
roce
ss to
find
pro
fit
bEx
plan
atio
nC
1fo
r app
ropr
iate
com
men
t to
inte
rpre
tres
ult e
g pr
obab
ility
so o
nly
likel
ihoo
d no
t cer
tain
ty, o
ther
th
an 3
0 m
ay p
lay,
£5
is sm
all d
iffer
ence
.
4N
o w
ith
reas
onin
gM
1M
1D
eriv
eAC
=9 c
man
d id
entif
y as
hyp
oten
use
42+
72
A1
for u
sing
eg
AC =
√42
+72
or 6
5 an
d 81
C
1fo
r con
clud
ing
expl
anat
ion
that
ABC
is n
ot a
rig
ht-a
ngle
d tri
angl
e w
ith e
vide
nce.
550
0gP1
1 8×
160
(=20
)P1
‘20’
× 2
5A
150
0 (o
r 0.5
)B
1C
orre
ct u
nits
g (o
r kg)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
115115Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
Pape
r 1M
A1:
1H
Que
stio
nW
orki
ngA
nsw
erN
otes
6a
71 2M
19 4×1
0 3oe
M1
90 12oe
A1
71 2
b51 4
+ 62 3
or
52 3+
61 4
B1
51 4+
62 3or
52 3
+ 61 4
790 2
× 3
=135
Com
bina
tion
with
reas
onP1
Link
s eith
er 2 3
with
90
and
60%
with
84
84 60×
100
=140
P1Pr
oces
s to
find
orig
inal
pric
e of
mic
row
ave
oven
eg
90 2
× 3
(=13
5)P1
Proc
ess t
o fin
d or
igin
al p
rice
of c
ombi
natio
n ov
en e
g 84 60
× 10
0 (=
140)
A1
Cor
rect
orig
inal
pric
es £
135
and
£140
with
in
terp
reta
tion
of re
sults
to c
oncl
ude
that
co
mbi
natio
n ov
en h
ad g
reat
er n
orm
al p
rice.
84
-4.5
B1
Rou
nds a
ppro
pria
tely
usi
ng tw
o of
5, 2
or 7
M1
√19
A1
4-4
.5
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
116116 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
Pape
r 1M
A1:
1H
Que
stio
nW
orki
ngA
nsw
erN
otes
9x×
2x×3
x=R
easo
ning
to
reac
h x
≤5
M1
Star
ts re
ason
ing
to fi
nd v
olum
e in
term
s of x
M1
Giv
es in
equa
lity
6x3
≤90
0or
subs
titut
es 5
and
6 in
to 6
x3
M1
Com
plet
es re
ason
ing
to sh
ow x
≤ 5
109
M1
Find
s con
stan
t 36
× 1.
5 (=
54) o
r 6 1.5=4
M1
54 ÷
6 o
r 36
÷ 4
A1
9 ca
o
114 3×2𝜋𝜋𝑥𝑥
3 +4 3𝜋𝜋𝑥𝑥
3 =2 𝜋𝜋𝑥𝑥
3h
=𝑥𝑥 2
P1Pr
oces
s to
find
volu
me
of c
one
or h
emis
pher
e
P1Pr
oces
s to
tota
l vol
ume
of so
lid(2
x)2 𝜋𝜋ℎ
= 4x
2 𝜋𝜋ℎ
P1Pr
oces
s to
find
volu
me
ofcy
linde
r4x
2 𝜋𝜋ℎ
= 2 𝜋𝜋𝑥𝑥
3P1
Equa
tes 2
vol
umes
A1
Rea
ches
h=𝑥𝑥 2
12C
ompl
ete
proo
fM
1B
egin
s pro
of B
AE=A
CD
and
ABE=
EDC
M
1AB
=D
C b
ecau
se o
ppos
ite si
des o
f a
para
llelo
gram
are
equ
alC
1C
ompl
etes
pro
of w
ith a
ll re
ason
s eg
alte
rnat
e an
gles
are
equ
alan
d re
fere
nce
to A
SA
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
117117Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
Pape
r 1M
A1:
1H
Que
stio
nW
orki
ngA
nsw
erN
otes
13m
ore
than
C1
Mak
es re
fere
nce
to d
iffer
ent n
umbe
rs o
f girl
s an
d bo
ys
C1
Com
plet
es re
ason
ing
eg th
ere
are
mor
e (b
oys)
w
ith 8
0% th
an (g
irls)
with
70%
or c
orre
ct m
ean
(700
+120
0)÷2
5 =
76
14C
ompl
etes
re
ason
ing
M1
Expa
nsio
n of
(4−√3
)(4
+√3
)with
at l
east
3
term
s out
of 4
cor
rect
or 4
2− √3
×√3
C1
for
13fr
om c
orre
ct w
orki
ng
15a
200
B1
200
or 2
× 1
02
b3
B1
12 a
nd 1 4
A1
3ca
o
c−2
M1
81 =
34
or
41
381
−=
A1
cao
16Ev
ents
in
depe
nden
tC
1St
atem
ent t
hat e
vent
s are
inde
pend
ent
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
118118 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
Pape
r 1M
A1:
1H
Que
stio
nW
orki
ngA
nsw
erN
otes
173
± √1
7M
1Fo
r (x
−3)
2–
9–
8 (=
0) o
r
(𝑥𝑥=
)−(−6)
±�
(−6)2 −
4(1)
(−8)
2(1)
allo
w si
gn e
rror
for b
M1
For x
–3
= ± √1
7or
𝑥𝑥=
6±√68
2A
1ca
o
1848
P1Id
entif
ies t
hat 1
6 ÷
8 =
2 so
PL=
2NP
P1Pr
oces
s to
find
area
of L
MN
8×
(2+1
)2(=
72)
P1C
ompl
etes
pro
cess
to fi
nd a
rea
of L
QM
‘72’
−16
− 8
A1
48 c
ao
19i
18M
1 U
ses f
requ
ency
dens
ity fo
r und
er 8
0 ba
r eg
7÷10
M
1C
ompl
etes
met
hod
to fi
nd o
ver 1
05 m
inut
es
freq
uenc
y eg
1.2
×15
or 3 4×(
1.2×
20)
A1
18 c
ao
iiR
easo
ning
C1
Cor
rect
exp
lana
tion
abou
t gro
uped
dat
a so
act
ual
valu
es b
etw
een
100
and
120
unkn
own
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
119119Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
Pape
r 1M
A1:
1H
Que
stio
nW
orki
ngA
nsw
erN
otes
203x
M1
Fact
oris
ing
num
erat
or a
nd d
enom
inat
or o
f firs
t fr
actio
n
3(𝑥𝑥+
2)(𝑥𝑥−5)
(𝑥𝑥+2)
( =
3(𝑥𝑥−5)
)M
1Fa
ctor
isin
g de
nom
inat
or o
f sec
ond
frac
tion
𝑥𝑥+5
𝑥𝑥(𝑥𝑥+
5)(𝑥𝑥−5)
( =
1𝑥𝑥(𝑥𝑥−
5))
M1
Mul
tiplic
atio
n by
reci
proc
al3(𝑥𝑥+
2)(𝑥𝑥−5)
(𝑥𝑥+2)
×𝑥𝑥(𝑥𝑥+
5)(𝑥𝑥−5)
(𝑥𝑥+5)
A1
Com
plet
ing
alge
bra
to re
ach
3x
21x
< −3
, x>
6M
1R
earr
ange
to x
2−
3x–
18 >
0M
1C
orre
ct m
etho
d to
solv
e x2
− 3x
–18
= 0
M1
Esta
blis
h cr
itica
l val
ues −
3 an
d 6
A1
x<
−3, x
> 6
2260
P1pr
oces
s to
star
t pro
blem
eg
draw
dia
gram
and
fin
d gr
adie
nt o
f OA
(= 3
)P1
proc
ess t
o fin
d eq
uatio
n of
tang
ent w
ith
m=
–1/‘3
’P1
proc
ess t
o fin
d x-
axis
inte
rcep
t of t
ange
ntP1
proc
ess t
o fin
d ar
ea o
f tria
ngle
A
1ca
o
Centre Number Candidate Number
Write your name hereSurname Other names
Total Marks
Paper Reference
Turn over
S50158A©2015 Pearson Education Ltd.
6/6/4/
*S50158A0124*
Mathematics Paper 2 (Calculator)
Higher TierSpecimen Papers Set 2
Time: 1 hour 30 minutes 1MA1/2HYou must have: Ruler graduated in centimetres and millimetres, protractor, pair of compasses, pen, HB pencil, eraser, calculator.
Instructions
• Use black ink or ball-point pen.• Fill in the boxes at the top of this page with your name, centre number and candidate number.• Answer all questions.• Answer the questions in the spaces provided
– there may be more space than you need.• Calculators may be used.• If your calculator does not have a π button, take the value of π to be 3.142
unless the question instructs otherwise.• Diagrams are NOT accurately drawn, unless otherwise indicated.• You must show all your working out.
Information
• The total mark for this paper is 80• The marks for each question are shown in brackets
– use this as a guide as to how much time to spend on each question.
Advice
• Read each question carefully before you start to answer it.• Keep an eye on the time.• Try to answer every question.• Check your answers if you have time at the end.
Pearson Edexcel Level 1/Level 2 GCSE (9 - 1)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
120120 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
Centre Number Candidate Number
Write your name hereSurname Other names
Total Marks
Paper Reference
Turn over
S50158A©2015 Pearson Education Ltd.
6/6/4/
*S50158A0124*
Mathematics Paper 2 (Calculator)
Higher TierSpecimen Papers Set 2
Time: 1 hour 30 minutes 1MA1/2HYou must have: Ruler graduated in centimetres and millimetres, protractor, pair of compasses, pen, HB pencil, eraser, calculator.
Instructions
• Use black ink or ball-point pen.• Fill in the boxes at the top of this page with your name, centre number and candidate number.• Answer all questions.• Answer the questions in the spaces provided
– there may be more space than you need.• Calculators may be used.• If your calculator does not have a π button, take the value of π to be 3.142
unless the question instructs otherwise.• Diagrams are NOT accurately drawn, unless otherwise indicated.• You must show all your working out.
Information
• The total mark for this paper is 80• The marks for each question are shown in brackets
– use this as a guide as to how much time to spend on each question.
Advice
• Read each question carefully before you start to answer it.• Keep an eye on the time.• Try to answer every question.• Check your answers if you have time at the end.
Pearson Edexcel Level 1/Level 2 GCSE (9 - 1)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
121121Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
3
*S50158A0324* Turn over
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
2 The time series graph shows information about the percentages of the people in a village that used the village shop for the years between 1980 and 2010
(a) Describe the trend in the percentage of the people in the village who used the shop for this period.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
(b) (i) Use the graph to predict the percentage of the people in the village likely to use the shop in the year 2020
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .%
(ii) Is your prediction reliable? Explain your answer.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(3)
(Total for Question 2 is 4 marks)
1980 1990 2000 2010 2020
Year
Percentage
40
35
30
25
20
15
10
5
0
2
*S50158A0224*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
Answer ALL questions.
Write your answers in the spaces provided.
You must write down all the stages in your working.
1
A
y
B
x
4
3
2
1
1 2 3 4–1
–2
–3
–4
–4 –3 –2 –1 O
Describe the single transformation that maps shape A onto shape B.
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 1 is 2 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
122122 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
3
*S50158A0324* Turn over
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
2 The time series graph shows information about the percentages of the people in a village that used the village shop for the years between 1980 and 2010
(a) Describe the trend in the percentage of the people in the village who used the shop for this period.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
(b) (i) Use the graph to predict the percentage of the people in the village likely to use the shop in the year 2020
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .%
(ii) Is your prediction reliable? Explain your answer.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(3)
(Total for Question 2 is 4 marks)
1980 1990 2000 2010 2020
Year
Percentage
40
35
30
25
20
15
10
5
0
2
*S50158A0224*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
Answer ALL questions.
Write your answers in the spaces provided.
You must write down all the stages in your working.
1
A
y
B
x
4
3
2
1
1 2 3 4–1
–2
–3
–4
–4 –3 –2 –1 O
Describe the single transformation that maps shape A onto shape B.
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 1 is 2 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
123123Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
5
*S50158A0524* Turn over
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
4
x
The diagram shows a regular octagon and a regular hexagon.
Find the size of the angle marked x You must show all your working.
x = . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . °
(Total for Question 4 is 3 marks)
4
*S50158A0424*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
3 (a) Expand and simplify 3(y − 2) + 5(2y + 1)
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(2)
(b) Simplify 5u2w4 × 7uw3
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(2)
(Total for Question 3 is 4 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
124124 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
5
*S50158A0524* Turn over
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
4
x
The diagram shows a regular octagon and a regular hexagon.
Find the size of the angle marked x You must show all your working.
x = . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . °
(Total for Question 4 is 3 marks)
4
*S50158A0424*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
3 (a) Expand and simplify 3(y − 2) + 5(2y + 1)
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(2)
(b) Simplify 5u2w4 × 7uw3
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(2)
(Total for Question 3 is 4 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
125125Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
7
*S50158A0724* Turn over
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
6 On a farm
the number of cows and the number of sheep are in the ratio 6 : 5 the number of sheep and the number of pigs are in the ratio 2 : 1
The total number of cows, sheep and pigs on the farm is 189
How many sheep are there on the farm?
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 6 is 3 marks)
6
*S50158A0624*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
5 Here is a Venn diagram.
BA15 12
18
10
1416
11 13 17 19
(a) Write down the numbers that are in set
(i) A È B
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(ii) A Ç B
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(2)
One of the numbers in the diagram is chosen at random.
(b) Find the probability that the number is in set Aʹ
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(2)
(Total for Question 5 is 4 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
126126 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
7
*S50158A0724* Turn over
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
6 On a farm
the number of cows and the number of sheep are in the ratio 6 : 5 the number of sheep and the number of pigs are in the ratio 2 : 1
The total number of cows, sheep and pigs on the farm is 189
How many sheep are there on the farm?
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 6 is 3 marks)
6
*S50158A0624*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
5 Here is a Venn diagram.
BA15 12
18
10
1416
11 13 17 19
(a) Write down the numbers that are in set
(i) A È B
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(ii) A Ç B
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(2)
One of the numbers in the diagram is chosen at random.
(b) Find the probability that the number is in set Aʹ
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(2)
(Total for Question 5 is 4 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
127127Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
9
*S50158A0924* Turn over
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
8 Steve is asked to solve the equation 5(x + 2) = 47
Here is his working. 5(x + 2) = 47 5x + 2 = 47 5x = 45 x = 94
Steve’s answer is wrong.
(a) What mistake did he make?
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
Liz is asked to solve the equation 3x2 + 8 = 83
Here is her working.3x2 + 8 = 83
3x2 = 75x2 = 25x = 54
(b) Explain what is wrong with Liz’s answer.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
(Total for Question 8 is 2 marks)
8
*S50158A0824*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
7 A
O
B
C4.8 cm
The arc ABC is a quarter of a circle with centre O and radius 4.8 cm. AC is a chord of the circle.
Work out the area of the shaded segment. Give your answer correct to 3 significant figures.
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .cm2
(Total for Question 7 is 3 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
128128 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
9
*S50158A0924* Turn over
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
8 Steve is asked to solve the equation 5(x + 2) = 47
Here is his working. 5(x + 2) = 47 5x + 2 = 47 5x = 45 x = 94
Steve’s answer is wrong.
(a) What mistake did he make?
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
Liz is asked to solve the equation 3x2 + 8 = 83
Here is her working.3x2 + 8 = 83
3x2 = 75x2 = 25x = 54
(b) Explain what is wrong with Liz’s answer.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
(Total for Question 8 is 2 marks)
8
*S50158A0824*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
7 A
O
B
C4.8 cm
The arc ABC is a quarter of a circle with centre O and radius 4.8 cm. AC is a chord of the circle.
Work out the area of the shaded segment. Give your answer correct to 3 significant figures.
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .cm2
(Total for Question 7 is 3 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
129129Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
11
*S50158A01124* Turn over
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
10 The population of a city increased by 5.2% for the year 2014
At the beginning of 2015 the population of the city was 1560000
Lin assumes that the population will continue to increase at a constant rate of 5.2% each year.
(a) Use Lin’s assumption to estimate the population of the city at the beginning of 2017 Give your answer correct to 3 significant figures.
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(3)
(b) (i) Use Lin’s assumption to work out the year in which the population of the city will reach 2000000
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(ii) If Lin’s assumption about the rate of increase of the population is too low, how might this affect your answer to (b)(i)?
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(3)
(Total for Question 10 is 6 marks)
10
*S50158A01024*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
9 The functions f and g are such that
f (x) = 3(x – 4) and g(x) = x5
+ 1
(a) Find the value of f (10)
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
(b) Find g–1(x)
g–1(x) = . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(2)
(c) Show that ff (x) = 9x – 48
(2)
(Total for Question 9 is 5 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
130130 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
11
*S50158A01124* Turn over
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
10 The population of a city increased by 5.2% for the year 2014
At the beginning of 2015 the population of the city was 1560000
Lin assumes that the population will continue to increase at a constant rate of 5.2% each year.
(a) Use Lin’s assumption to estimate the population of the city at the beginning of 2017 Give your answer correct to 3 significant figures.
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(3)
(b) (i) Use Lin’s assumption to work out the year in which the population of the city will reach 2000000
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(ii) If Lin’s assumption about the rate of increase of the population is too low, how might this affect your answer to (b)(i)?
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(3)
(Total for Question 10 is 6 marks)
10
*S50158A01024*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
9 The functions f and g are such that
f (x) = 3(x – 4) and g(x) = x5
+ 1
(a) Find the value of f (10)
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
(b) Find g–1(x)
g–1(x) = . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(2)
(c) Show that ff (x) = 9x – 48
(2)
(Total for Question 9 is 5 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
131131Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
13
*S50158A01324*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
Turn over
(b) Use medians and interquartile ranges to compare the distribution of the times taken by the male runners with the distribution of the times taken by the female runners.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(4)
(Total for Question 11 is 6 marks)
12
*S50158A01224*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
11 The cumulative frequency graphs show information about the times taken by 100 male runners and by 100 female runners to finish the London marathon.
A male runner is chosen at random.
(a) Find an estimate for the probability that this runner took less than 4 hours to finish the London marathon.
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(2)
120 180 240 300 360 420Time (minutes)
Cumulativefrequency
80
60
40
20
0480
100
male
female
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
132132 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
13
*S50158A01324*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
Turn over
(b) Use medians and interquartile ranges to compare the distribution of the times taken by the male runners with the distribution of the times taken by the female runners.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(4)
(Total for Question 11 is 6 marks)
12
*S50158A01224*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
11 The cumulative frequency graphs show information about the times taken by 100 male runners and by 100 female runners to finish the London marathon.
A male runner is chosen at random.
(a) Find an estimate for the probability that this runner took less than 4 hours to finish the London marathon.
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(2)
120 180 240 300 360 420Time (minutes)
Cumulativefrequency
80
60
40
20
0480
100
male
female
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
133133Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
15
*S50158A01524* Turn over
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
13 The number of slugs in a garden t days from now is pt where
p0 = 100
pt + 1 = 1.06pt
Work out the number of slugs in the garden 3 days from now.
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 13 is 3 marks)
14 D is directly proportional to the cube of n.
Mary says that when n is doubled, the value of D is multiplied by 6
Mary is wrong. Explain why.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
(Total for Question 14 is 1 mark)
14
*S50158A01424*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
12 Marie has 25 cards. Each card has a different symbol on it.
Marie gives one card to Shelley and one card to Pauline.
(a) In how many different ways can Marie do this?
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(2)
There are 12 boys and 10 girls in David’s class. David is going to pick three different students from his class and write their names in a
list in order.
The order will be
boygirlboy
or girlboygirl
(b) How many different lists can David write?
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(3)
(Total for Question 12 is 5 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
134134 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
15
*S50158A01524* Turn over
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
13 The number of slugs in a garden t days from now is pt where
p0 = 100
pt + 1 = 1.06pt
Work out the number of slugs in the garden 3 days from now.
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 13 is 3 marks)
14 D is directly proportional to the cube of n.
Mary says that when n is doubled, the value of D is multiplied by 6
Mary is wrong. Explain why.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
(Total for Question 14 is 1 mark)
14
*S50158A01424*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
12 Marie has 25 cards. Each card has a different symbol on it.
Marie gives one card to Shelley and one card to Pauline.
(a) In how many different ways can Marie do this?
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(2)
There are 12 boys and 10 girls in David’s class. David is going to pick three different students from his class and write their names in a
list in order.
The order will be
boygirlboy
or girlboygirl
(b) How many different lists can David write?
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(3)
(Total for Question 12 is 5 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
135135Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
17
*S50158A01724* Turn over
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
(b) Describe fully what your answer to part (a) represents.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(2)
(c) Explain why your answer to part (a) is only an estimate.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
(Total for Question 15 is 6 marks)
16 (i) Find the value of 3 2 10115 . ×
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(ii) Find the value of 1034
Give your answer correct to 1 decimal place.
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 16 is 2 marks)
16
*S50158A01624*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
15 Karol runs in a race.
The graph shows her speed, in metres per second, t seconds after the start of the race.
(a) Calculate an estimate for the gradient of the graph when t = 4 You must show how you get your answer.
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(3)
0 2 4 6 8 10Time (t seconds)
Speed (m/s)
10
8
6
4
2
0
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
136136 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
17
*S50158A01724* Turn over
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
(b) Describe fully what your answer to part (a) represents.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(2)
(c) Explain why your answer to part (a) is only an estimate.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
(Total for Question 15 is 6 marks)
16 (i) Find the value of 3 2 10115 . ×
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(ii) Find the value of 1034
Give your answer correct to 1 decimal place.
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 16 is 2 marks)
16
*S50158A01624*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
15 Karol runs in a race.
The graph shows her speed, in metres per second, t seconds after the start of the race.
(a) Calculate an estimate for the gradient of the graph when t = 4 You must show how you get your answer.
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(3)
0 2 4 6 8 10Time (t seconds)
Speed (m/s)
10
8
6
4
2
0
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
137137Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
19
*S50158A01924*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
Turn over
18 Simplify fully ( )( )a b a b+ −4 2
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 18 is 3 marks)
18
*S50158A01824*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
17
b
ca
a is 8.3 cm correct to the nearest mm b is 6.1 cm correct to the nearest mm
Calculate the upper bound for c. You must show your working.
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . cm
(Total for Question 17 is 4 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
138138 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
19
*S50158A01924*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
Turn over
18 Simplify fully ( )( )a b a b+ −4 2
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 18 is 3 marks)
18
*S50158A01824*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
17
b
ca
a is 8.3 cm correct to the nearest mm b is 6.1 cm correct to the nearest mm
Calculate the upper bound for c. You must show your working.
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . cm
(Total for Question 17 is 4 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
139139Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
21
*S50158A02124* Turn over
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
y
x
4
2
2 4
–2
–4
–4 –2 O
6
6–6
y
x
4
2
2 4
–2
–4
–4 –2 O
6
6–6
(b) The graph of y = f(x) is shown on both grids below.
(i) On this grid, draw the graph of y = 2f(x)
(ii) On the grid below, draw the graph of y = f(x − 3)
(2)
(Total for Question 19 is 4 marks)
20
*S50158A02024*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
19 (a) Sketch the graph of y = cos x° for 0 x 360
y
xO 90 180 270 360
(2)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
140140 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
21
*S50158A02124* Turn over
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
y
x
4
2
2 4
–2
–4
–4 –2 O
6
6–6
y
x
4
2
2 4
–2
–4
–4 –2 O
6
6–6
(b) The graph of y = f(x) is shown on both grids below.
(i) On this grid, draw the graph of y = 2f(x)
(ii) On the grid below, draw the graph of y = f(x − 3)
(2)
(Total for Question 19 is 4 marks)
20
*S50158A02024*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
19 (a) Sketch the graph of y = cos x° for 0 x 360
y
xO 90 180 270 360
(2)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
141141Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
23
*S50158A02324*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
21 Given that
2x − 1 : x − 4 = 16x + 1 : 2x − 1
find the possible values of x.
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 21 is 5 marks)
TOTAL FOR PAPER IS 80 MARKS
22
*S50158A02224*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
20
Q
R
S
U
TP
O
PQRST is a regular pentagon. R, U and T are points on a circle, centre O. QR and PT are tangents to the circle. RSU is a straight line.
Prove that ST = UT.
(Total for Question 20 is 5 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
142142 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
23
*S50158A02324*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
21 Given that
2x − 1 : x − 4 = 16x + 1 : 2x − 1
find the possible values of x.
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 21 is 5 marks)
TOTAL FOR PAPER IS 80 MARKS
22
*S50158A02224*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
20
Q
R
S
U
TP
O
PQRST is a regular pentagon. R, U and T are points on a circle, centre O. QR and PT are tangents to the circle. RSU is a straight line.
Prove that ST = UT.
(Total for Question 20 is 5 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
143143Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
24
*S50158A02424*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
BLANK PAGE
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
144144 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
24
*S50158A02424*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
BLANK PAGE
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
145145Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
Pape
r 1M
A1:
2H
Que
stio
nW
orki
ngA
nsw
erN
otes
1Tr
ansl
atio
n by�4 −3�
B1
for t
rans
latio
n
B1
�4 −3�
2(a
)Tr
end
desc
ribed
C1
for “
perc
enta
ge o
f peo
ple
who
use
the
shop
de
crea
ses”
oe
(bi)
13-1
7P1
for p
roce
ss to
dra
w tr
end
line
on g
raph
A1
for 1
3 -1
7
(bii)
No
+ re
ason
C1
for c
omm
ent,
eg “
no, b
ecau
se 2
020
is b
eyon
d th
e tim
e pe
riod
cove
red
by th
e gi
ven
data
”
3(a
)13
y−
1M
1fo
r exp
ansi
on o
f one
bra
cket
A1
for f
ull
sim
plifi
catio
n
(b)
35u3 w
7B
1fo
r 2 o
f 35,
u3an
dw
7co
rrec
tB
1ca
o
410
5P1
for p
roce
ss to
find
the
exte
rior a
ngle
or i
nter
ior
angl
e of
a h
exag
on o
r oct
agon
P1fo
r pro
cess
to fi
nd th
e bo
th e
xter
ior a
ngle
s or
bo
th in
terio
r ang
les
A1
for 1
05 f
rom
cor
rect
wor
king
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
146146 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
Pape
r 1M
A1:
2H
Que
stio
nW
orki
ngA
nsw
erN
otes
5(a
)(i)
10, 1
2, 1
4, 1
5, 1
6,
18B
1ca
o
(ii)
12, 1
8B
1ca
o
(b)
7 10M
1fo
r 7 o
r ind
icat
ing
corr
ect r
egio
n or
for 1
0, 1
4,
16, 1
1, 1
3, 1
7, 1
9 lis
ted
A1
for 7 10
oe
66
:5 =
12
:10
2 : 1
= 1
0 : 5
70P1
P1 fo
r stra
tegy
to st
art t
o so
lve
the
prob
lem
eg
12
: 10
and
10: 5
C :
S : P
= 1
2 : 1
0 : 5
P1P1
for p
roce
ss to
solv
e th
e pr
oble
meg
10 27 ×
189
10 27 ×
189
A1
A1
cao
71 4
× π
× 4.
8²6.
58B
1fo
r use
of f
orm
ula
for a
rea
of a
circ
le
1 2×
4.8
× 4.
8P1
for c
ompl
ete
proc
ess t
o fin
d ar
ea o
f sha
ded
regi
on1 4
× π
× 4.
8² −
1 2×
4.8
× 4.
8A
1fo
r 6.5
6 –
6.58
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
147147Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
Pape
r 1M
A1:
2H
Que
stio
nW
orki
ngA
nsw
erN
otes
8(a
)ex
plan
atio
nC
1fo
r “in
corr
ect e
xpan
sion
of b
rack
ets”
oe
(b)
expl
anat
ion
C1
for “
has n
ot o
btai
ned
both
solu
tions
” oe
9(a
)18
B1
cao
(b)
5(x
–1)
M1
for m
etho
d to
find
inve
rse
func
tion
A1
for 5
(x–
1) o
r 5x
− 5
(c)
9x–
48 sh
own
M1
for m
etho
d to
find
com
posi
te fu
nctio
nA
1fo
r wor
king
lead
ing
to 9
x–
48
10(a
)15
6000
0 ×
(1.0
52)2
1730
000
P1fo
r pro
cess
to fi
nd p
opul
atio
n in
201
6P1
for c
ompl
ete
proc
ess t
o fin
d po
pula
tion
in 2
017
A1
for 1
7250
00 -
1730
000
(b)(
i)20
20P1
for p
roce
ss to
find
whe
n po
pula
tion
will
exc
eed
2 00
0 00
0A
1fo
r 202
0
(ii)
C1
for c
orre
ct c
omm
ent o
n ho
w a
ssum
ptio
n w
ill
affe
ct th
e an
swer
, eg
if th
e pe
rcen
tage
gro
wth
is
high
er th
e po
pula
tion
may
exc
eed
2 00
0 00
0 ea
rlier
.
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
148148 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
Pape
r 1M
A1:
2H
Que
stio
nW
orki
ngA
nsw
erN
otes
11(a
)0.
43M
1fo
r use
of g
raph
at 2
40 m
inut
esA
1fo
r 0.4
2 –
0.44
oe
(b)
com
paris
on
B1
for a
t lea
st o
ne m
edia
n (2
49 –
252
or 2
73 –
276)
B1
for l
east
one
inte
rqua
rtile
rang
e (6
9 –
73 o
r 67
-71)
C1
for c
omm
ent c
ompa
ring
aver
age
times
eg
fem
ales
take
long
er th
an m
ales
oe
C1
for c
omm
ent c
ompa
ring
spre
ads o
f tim
es fr
om
IQR
s, eg
the
spre
ad o
f tim
es is
abo
ut th
e sa
me
(NB
–at
leas
t one
of t
he c
omm
ents
mus
t be
in
cont
ext)
12(a
)25
× 2
460
0P1
for p
roce
ss to
find
num
ber o
f way
sA
1ca
o
(b)
12 ×
10
× 11
10
× 1
2 ×
913
20 +
108
0
2400
P1fo
r pro
cess
to fi
nd n
umbe
r of l
ists
with
boy
then
gi
rl th
en b
oy o
rthe
num
ber o
f lis
ts w
ith g
irl
then
boy
then
girl
P1fo
r com
plet
e pr
oces
s to
find
the
tota
l num
ber o
f lis
tsA
1ca
o
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
149149Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
Pape
r 1M
A1:
2H
Que
stio
nW
orki
ngA
nsw
erN
otes
1311
9M
1fo
r 1.0
6 ×
100
oe
M1
for 1
.063
× 10
0oe
A1
acce
pt 1
19.1
016
14ex
plan
atio
nC
1fo
r a c
orre
ct e
valu
atio
n, e
g th
e va
lue
of D
shou
ld b
e m
ultip
lied
by 8
, she
has
use
d 2
× 3
inst
ead
of 2
³
15(a
)1.
0–
1.3
M1
for f
indi
ng g
radi
ent b
y dr
awin
g ta
ngen
tM
1fo
r met
hod
to c
alcu
late
gra
dien
tA
1Fo
r 1.0
–1.
3
(b)
C1
for a
ccel
erat
ion
C1
for e
g“
4 se
cond
afte
r the
star
t of t
he ra
ce”,
“w
hen
the
spee
d is
7.6
m/s
”, “
in m
/s2 ”
(c)
limita
tion
C1
for c
omm
ent,
eg d
epen
dent
on
accu
racy
of
cons
truct
ing
a ta
ngen
t
16(i)
200
B1
cao
(ii)
5.6
B1
For 5
.6(2
...)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
150150 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
Pape
r 1M
A1:
2H
Que
stio
nW
orki
ngA
nsw
erN
otes
17�
8.35
²−6.
05²
5.75
4997
828
B1
for f
indi
ng b
ound
s of o
ne m
easu
rem
ent,8
.25
8.35
, 6.0
5 or
6.1
5P1
for p
roce
ss o
f cho
osin
g an
d us
ing
corr
ect
boun
dsP1
for p
roce
ss o
f Pyt
hago
ras’
rule
with
cor
rect
bo
unds
A
1fo
r 5.7
54(9
97…
)
18( √𝑎𝑎
+2 √𝑏𝑏)
( √𝑎𝑎−
2 √𝑏𝑏)
a–
4bM
1fo
r exp
ansi
on o
f bra
cket
s or
42
bb
=
√𝑎𝑎× √𝑎𝑎
−2 √𝑎𝑎 √𝑏𝑏
+2 √𝑏𝑏 √𝑎𝑎−
2 √𝑏𝑏
×2 √𝑏𝑏
M1
for a
or (–
4b)
A1
cao
19(a
)sk
etch
B1
for c
orre
ct sh
ape
for 0
⩽x⩽
360
B1
for f
ully
cor
rect
sket
ch w
ith la
bels
(b)(
i)sk
etch
B1
cao
(ii)
sket
chB
1ca
o
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
151151Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
Pape
r 1M
A1:
2H
Que
stio
nW
orki
ngA
nsw
erN
otes
20⦟
TSU
= 36
0 ÷
5 (=
72)
Exte
rior a
ngle
s of a
pol
ygon
ad
d up
to 3
60o
proo
fM
1fo
r met
hod
to fi
nd in
terio
r or e
xter
ior a
ngle
of
regu
lar p
enta
gon
⦟Q
RO=⦟
OTP
= 90
The
tang
entt
o a
circ
le is
pe
rpen
dicu
lar (
90o )to
the
radi
us(d
iam
eter
)
M1
for u
sing
ang
le b
etw
een
tang
ent a
nd ra
dius
⦟RO
T=
540
–2
× 90
–2
× 10
8 (=
144
)M
1fo
r met
hod
to fi
nd a
ngle
RO
T
⦟RU
T=
144
÷ 2
(= 7
2)Th
e an
gle
at th
e ce
ntre
of a
ci
rcle
is tw
ice
the
angl
e at
th
e ci
rcum
fere
nce
C1
for m
etho
d to
find
ang
le R
UT
with
reas
on
Bas
e an
gles
of a
n is
osce
les
trian
gle
are
equa
lC
1fo
r ded
uctio
n th
at S
T=
UT
with
reas
ons
212𝑥𝑥
− 1
𝑥𝑥 −
4
=16𝑥𝑥 +
1
2𝑥𝑥 −
1–1 12
, 5P1
for p
roce
ss to
writ
e as
an
equa
tion
(2x
–1)
² = (1
6x+
1)(x
–4)
P1fo
r pro
cess
to c
lear
the
frac
tions
12x²
–59
x–
5 =
0P1
for p
roce
ss to
writ
e eq
uatio
n in
form
ax
² + b
x+
c =
0(1
2x+
1)(x
–5)
= 0
P1fo
r pro
cess
to so
lve
the
equa
tion
A1
cao
Centre Number Candidate Number
Write your name hereSurname Other names
Total Marks
Paper Reference
Turn over
S50160A©2015 Pearson Education Ltd.
6/6/4/
*S50160A0124*
Mathematics Paper 3 (Calculator)
Higher TierSpecimen Papers Set 2
Time: 1 hour 30 minutes 1MA1/3HYou must have: Ruler graduated in centimetres and millimetres, protractor, pair of compasses, pen, HB pencil, eraser, calculator.
Instructions
• Use black ink or ball-point pen.• Fill in the boxes at the top of this page with your name, centre number and candidate number.• Answer all questions.• Answer the questions in the spaces provided
– there may be more space than you need.• Calculators may be used.• If your calculator does not have a π button, take the value of π to be 3.142
unless the question instructs otherwise.• Diagrams are NOT accurately drawn, unless otherwise indicated.• You must show all your working out.
Information
• The total mark for this paper is 80• The marks for each question are shown in brackets
– use this as a guide as to how much time to spend on each question.
Advice
• Read each question carefully before you start to answer it.• Keep an eye on the time.• Try to answer every question.• Check your answers if you have time at the end.
Pearson Edexcel Level 1/Level 2 GCSE (9 - 1)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
152152 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
Centre Number Candidate Number
Write your name hereSurname Other names
Total Marks
Paper Reference
Turn over
S50160A©2015 Pearson Education Ltd.
6/6/4/
*S50160A0124*
Mathematics Paper 3 (Calculator)
Higher TierSpecimen Papers Set 2
Time: 1 hour 30 minutes 1MA1/3HYou must have: Ruler graduated in centimetres and millimetres, protractor, pair of compasses, pen, HB pencil, eraser, calculator.
Instructions
• Use black ink or ball-point pen.• Fill in the boxes at the top of this page with your name, centre number and candidate number.• Answer all questions.• Answer the questions in the spaces provided
– there may be more space than you need.• Calculators may be used.• If your calculator does not have a π button, take the value of π to be 3.142
unless the question instructs otherwise.• Diagrams are NOT accurately drawn, unless otherwise indicated.• You must show all your working out.
Information
• The total mark for this paper is 80• The marks for each question are shown in brackets
– use this as a guide as to how much time to spend on each question.
Advice
• Read each question carefully before you start to answer it.• Keep an eye on the time.• Try to answer every question.• Check your answers if you have time at the end.
Pearson Edexcel Level 1/Level 2 GCSE (9 - 1)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
153153Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
3
*S50160A0324* Turn over
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
3 Make t the subject of the formula y = t3
– 2a
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 3 is 2 marks)
4 Jim rounds a number, x, to one decimal place. The result is 7.2
Write down the error interval for x.
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 4 is 2 marks)
2
*S50160A0224*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
Answer ALL questions.
Write your answers in the spaces provided.
You must write down all the stages in your working.
1 The ratio of the number of boys to the number of girls in a school is 4:5 There are 95 girls in the school.
Work out the total number of students in the school.
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 1 is 3 marks)
2 The diagram represents a solid made from seven centimetre cubes.
On the centimetre grid below, draw a plan of the solid.
(Total for Question 2 is 2 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
154154 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
3
*S50160A0324* Turn over
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
3 Make t the subject of the formula y = t3
– 2a
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 3 is 2 marks)
4 Jim rounds a number, x, to one decimal place. The result is 7.2
Write down the error interval for x.
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 4 is 2 marks)
2
*S50160A0224*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
Answer ALL questions.
Write your answers in the spaces provided.
You must write down all the stages in your working.
1 The ratio of the number of boys to the number of girls in a school is 4:5 There are 95 girls in the school.
Work out the total number of students in the school.
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 1 is 3 marks)
2 The diagram represents a solid made from seven centimetre cubes.
On the centimetre grid below, draw a plan of the solid.
(Total for Question 2 is 2 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
155155Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
5
*S50160A0524* Turn over
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
6 At a depth of x metres, the temperature of the water in an ocean is T °C. At depths below 900 metres, T is inversely proportional to x.
T is given by
Tx
= 4500
(a) Work out the difference in the temperature of the water at a depth of 1200 metres and the temperature of the water at a depth of 2500 metres.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .°C (3)
Here are four graphs.
T
O x
A T
O x
B
T
O x
C T
O x
D
One of the graphs could show that T is inversely proportional to x.
(b) Write down the letter of this graph.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
(Total for Question 6 is 4 marks)
5 Katie measured the length and the width of each of 10 pine cones from the same tree.
She used her results to draw this scatter graph.
1 2 3 4 50
1
2
3
4
5
60
Width (cm)
Length (cm)
(a) Describe one improvement Katie can make to her scatter graph.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
The point representing the results for one of the pine cones is an outlier.
(b) Explain how the results for this pine cone differ from the results for the other pine cones.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
(Total for Question 5 is 2 marks)
4
*S50160A0424*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
5 Katie measured the length and the width of each of 10 pine cones from the same tree.
She used her results to draw this scatter graph.
1 2 3 4 50
1
2
3
4
5
60
Width (cm)
Length (cm)
(a) Describe one improvement Katie can make to her scatter graph.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
The point representing the results for one of the pine cones is an outlier.
(b) Explain how the results for this pine cone differ from the results for the other pine cones.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
(Total for Question 5 is 2 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
156156 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
5
*S50160A0524* Turn over
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
6 At a depth of x metres, the temperature of the water in an ocean is T °C. At depths below 900 metres, T is inversely proportional to x.
T is given by
Tx
= 4500
(a) Work out the difference in the temperature of the water at a depth of 1200 metres and the temperature of the water at a depth of 2500 metres.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .°C (3)
Here are four graphs.
T
O x
A T
O x
B
T
O x
C T
O x
D
One of the graphs could show that T is inversely proportional to x.
(b) Write down the letter of this graph.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
(Total for Question 6 is 4 marks)
5 Katie measured the length and the width of each of 10 pine cones from the same tree.
She used her results to draw this scatter graph.
1 2 3 4 50
1
2
3
4
5
60
Width (cm)
Length (cm)
(a) Describe one improvement Katie can make to her scatter graph.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
The point representing the results for one of the pine cones is an outlier.
(b) Explain how the results for this pine cone differ from the results for the other pine cones.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
(Total for Question 5 is 2 marks)
4
*S50160A0424*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
5 Katie measured the length and the width of each of 10 pine cones from the same tree.
She used her results to draw this scatter graph.
1 2 3 4 50
1
2
3
4
5
60
Width (cm)
Length (cm)
(a) Describe one improvement Katie can make to her scatter graph.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
The point representing the results for one of the pine cones is an outlier.
(b) Explain how the results for this pine cone differ from the results for the other pine cones.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
(Total for Question 5 is 2 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
157157Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
7
*S50160A0724* Turn over
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
8 The diagram shows an oil tank in the shape of a prism. The cross section of the prism is a trapezium.
3m
2.5m1.4m
2.4m
Only fill to85%
of capacity
The tank is empty.
Oil flows into the tank. After one minute there are 300 litres of oil in the tank.
Assume that oil continues to flow into the tank at this rate.
(a) Work out how many more minutes it takes for the tank to be 85% full of oil. (1 m3 = 1000 litres)
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . minutes(5)
The assumption about the rate of flow of the oil could be wrong.
(b) Explain how this could affect your answer to part (a).
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
(Total for Question 8 is 6 marks)
6
*S50160A0624*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
7 Here is a right-angled triangle.
xy
Four of these triangles are joined to enclose the square ABCD as shown below.
A
B
C
D
Show that the area of the square ABCD is x2 + y2
(Total for Question 7 is 3 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
158158 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
7
*S50160A0724* Turn over
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
8 The diagram shows an oil tank in the shape of a prism. The cross section of the prism is a trapezium.
3m
2.5m1.4m
2.4m
Only fill to85%
of capacity
The tank is empty.
Oil flows into the tank. After one minute there are 300 litres of oil in the tank.
Assume that oil continues to flow into the tank at this rate.
(a) Work out how many more minutes it takes for the tank to be 85% full of oil. (1 m3 = 1000 litres)
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . minutes(5)
The assumption about the rate of flow of the oil could be wrong.
(b) Explain how this could affect your answer to part (a).
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
(Total for Question 8 is 6 marks)
6
*S50160A0624*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
7 Here is a right-angled triangle.
xy
Four of these triangles are joined to enclose the square ABCD as shown below.
A
B
C
D
Show that the area of the square ABCD is x2 + y2
(Total for Question 7 is 3 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
159159Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
9
*S50160A0924* Turn over
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
10 The surface gravity of a planet can be worked out using the formula
g mr
= 6.67 × 10 11
2
−
where
m kilograms is the mass of the planet r metres is the radius of the planet
For the Earth and Jupiter here are the values of m and r.
Jupiter
m = 1.90 × 1027
r = 7.149 × 107
Earth
m = 5.98 × 1024
r = 6.378 × 106
Work out the ratio of the surface gravity of Earth to the surface gravity of Jupiter. Write your answer in the form 1: n
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 10 is 3 marks)
8
*S50160A0824*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
9 Ibrar bought a house for £145 000
The value of the house depreciated by 4% in the first year. The value of the house depreciated by 2.5% in the second year.
Ibrar says,
“4 + 2.5 = 6.5 so in two years the value of my house depreciated by 6.5%”
(a) Is Ibrar right? You must give a reason for your answer.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(2)
The value of Ibrar’s house increases by x% in the third year. At the end of the third year the value of Ibrar’s house is £140 000
(b) Work out the value of x. Give your answer correct to 3 significant figures.
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(3)
(Total for Question 9 is 5 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
160160 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
9
*S50160A0924* Turn over
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
10 The surface gravity of a planet can be worked out using the formula
g mr
= 6.67 × 10 11
2
−
where
m kilograms is the mass of the planet r metres is the radius of the planet
For the Earth and Jupiter here are the values of m and r.
Jupiter
m = 1.90 × 1027
r = 7.149 × 107
Earth
m = 5.98 × 1024
r = 6.378 × 106
Work out the ratio of the surface gravity of Earth to the surface gravity of Jupiter. Write your answer in the form 1: n
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 10 is 3 marks)
8
*S50160A0824*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
9 Ibrar bought a house for £145 000
The value of the house depreciated by 4% in the first year. The value of the house depreciated by 2.5% in the second year.
Ibrar says,
“4 + 2.5 = 6.5 so in two years the value of my house depreciated by 6.5%”
(a) Is Ibrar right? You must give a reason for your answer.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(2)
The value of Ibrar’s house increases by x% in the third year. At the end of the third year the value of Ibrar’s house is £140 000
(b) Work out the value of x. Give your answer correct to 3 significant figures.
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(3)
(Total for Question 9 is 5 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
161161Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
11
*S50160A01124* Turn over
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
12 Zahra mixes 150g of metal A and 150g of metal B to make 300g of an alloy.
Metal A has a density of 19.3g/cm3. Metal B has a density of 8.9g/cm3.
Work out the density of the alloy.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . g/cm3
(Total for Question 12 is 4 marks)
10
*S50160A01024*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
11 Solve the simultaneous equations
2x – 4y = 193x + 5y = 1
x = .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
y = .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 11 is 4 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
162162 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
11
*S50160A01124* Turn over
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
12 Zahra mixes 150g of metal A and 150g of metal B to make 300g of an alloy.
Metal A has a density of 19.3g/cm3. Metal B has a density of 8.9g/cm3.
Work out the density of the alloy.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . g/cm3
(Total for Question 12 is 4 marks)
10
*S50160A01024*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
11 Solve the simultaneous equations
2x – 4y = 193x + 5y = 1
x = .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
y = .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 11 is 4 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
163163Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
13
*S50160A01324*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
Turn over
14 The table gives information about the speeds, in km/h, of 81 cars.
Speed (s km/h) Frequency
90 < s 100 13
100 < s 105 16
105 < s 110 18
110 < s 120 22
120 < s 140 12
(a) On the grid, draw a histogram for the information in the table.
(3)
(b) Find an estimate for the median.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .km/h(2)
(Total for Question 14 is 5 marks)
12
*S50160A01224*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
13y7
6
5
4
3
2
1
O
–1
–2
–3
–4
–5
–6
–7
–7 –6 –5 –4 –3 –2 –1 1 2 3 4 5 6 7 x
On the grid, enlarge the triangle by scale factor −112
, centre (0, 2)
(Total for Question 13 is 2 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
164164 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
13
*S50160A01324*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
Turn over
14 The table gives information about the speeds, in km/h, of 81 cars.
Speed (s km/h) Frequency
90 < s 100 13
100 < s 105 16
105 < s 110 18
110 < s 120 22
120 < s 140 12
(a) On the grid, draw a histogram for the information in the table.
(3)
(b) Find an estimate for the median.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .km/h(2)
(Total for Question 14 is 5 marks)
12
*S50160A01224*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
13y7
6
5
4
3
2
1
O
–1
–2
–3
–4
–5
–6
–7
–7 –6 –5 –4 –3 –2 –1 1 2 3 4 5 6 7 x
On the grid, enlarge the triangle by scale factor −112
, centre (0, 2)
(Total for Question 13 is 2 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
165165Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
15
*S50160A01524* Turn over
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
17 The product of two consecutive positive integers is added to the larger of the two integers.
Prove that the result is always a square number.
(Total for Question 17 is 3 marks)
14
*S50160A01424*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
15 Show that ab
ab+
−+1 1 2( )
can be written as abb( )+ 1 2
(Total for Question 15 is 2 marks)
16 The diagram shows a sector of a circle of radius 4 cm.
B
A C
O
100° 4cm
Work out the length of the arc ABC. Give your answer correct to 3 significant figures.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .cm
(Total for Question 16 is 2 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
166166 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
15
*S50160A01524* Turn over
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
17 The product of two consecutive positive integers is added to the larger of the two integers.
Prove that the result is always a square number.
(Total for Question 17 is 3 marks)
14
*S50160A01424*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
15 Show that ab
ab+
−+1 1 2( )
can be written as abb( )+ 1 2
(Total for Question 15 is 2 marks)
16 The diagram shows a sector of a circle of radius 4 cm.
B
A C
O
100° 4cm
Work out the length of the arc ABC. Give your answer correct to 3 significant figures.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .cm
(Total for Question 16 is 2 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
167167Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
17
*S50160A01724* Turn over
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
19 Prove algebraically that the recurring decimal 0.31̇8̇ can be written as 722
(Total for Question 19 is 2 marks)
16
*S50160A01624*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
18 Here is a speed-time graph for a car.
0 2 4 6 8 10 120
5
10
15
20
25
30
Time (s)
Speed (m/s)
(a) Work out an estimate for the distance the car travelled in the first 10 seconds. Use 5 strips of equal width.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .m(3)
(b) Is your answer to (a) an underestimate or an overestimate of the actual distance? Give a reason for your answer.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
(Total for Question 18 is 4 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
168168 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
17
*S50160A01724* Turn over
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
19 Prove algebraically that the recurring decimal 0.31̇8̇ can be written as 722
(Total for Question 19 is 2 marks)
16
*S50160A01624*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
18 Here is a speed-time graph for a car.
0 2 4 6 8 10 120
5
10
15
20
25
30
Time (s)
Speed (m/s)
(a) Work out an estimate for the distance the car travelled in the first 10 seconds. Use 5 strips of equal width.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .m(3)
(b) Is your answer to (a) an underestimate or an overestimate of the actual distance? Give a reason for your answer.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
(Total for Question 18 is 4 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
169169Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
19
*S50160A01924*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
Turn over
21C
BDA
25°
4.9cm
80°3.8cm
ABC is a triangle. D is a point on AB.
Work out the area of triangle BCD. Give your answer correct to 3 significant figures.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . cm2
(Total for Question 21 is 5 marks)
18
*S50160A01824*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
20
2a
A
P
BO 2b
OAB is a triangle. P is the point on AB such that AP : PB = 5:3
OA→
= 2a
OB→
= 2b
→OP = k(3a + 5b) where k is a scalar quantity.
Find the value of k.
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 20 is 4 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
170170 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
19
*S50160A01924*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
Turn over
21C
BDA
25°
4.9cm
80°3.8cm
ABC is a triangle. D is a point on AB.
Work out the area of triangle BCD. Give your answer correct to 3 significant figures.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . cm2
(Total for Question 21 is 5 marks)
18
*S50160A01824*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
20
2a
A
P
BO 2b
OAB is a triangle. P is the point on AB such that AP : PB = 5:3
OA→
= 2a
OB→
= 2b
→OP = k(3a + 5b) where k is a scalar quantity.
Find the value of k.
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 20 is 4 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
171171Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
21
*S50160A02124*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
23 (a) Write 2x2 + 16x + 35 in the form a(x + b)2 + c where a, b, and c are integers.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(3)
(b) Hence, or otherwise, write down the coordinates of the turning point of the graph of y = 2x2 + 16x + 35
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
(Total for Question 23 is 4 marks)
TOTAL FOR PAPER IS 80 MARKS
20
*S50160A02024*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
22 There are y black socks and 5 white socks in a drawer.
Joshua takes at random two socks from the drawer.
The probability that Joshua takes one white sock and one black sock is 611
(a) Show that 3y2 – 28y + 60 = 0
(4)
(b) Find the probability that Joshua takes two black socks.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(3)
(Total for Question 22 is 7 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
172172 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
21
*S50160A02124*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
23 (a) Write 2x2 + 16x + 35 in the form a(x + b)2 + c where a, b, and c are integers.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(3)
(b) Hence, or otherwise, write down the coordinates of the turning point of the graph of y = 2x2 + 16x + 35
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
(Total for Question 23 is 4 marks)
TOTAL FOR PAPER IS 80 MARKS
20
*S50160A02024*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
22 There are y black socks and 5 white socks in a drawer.
Joshua takes at random two socks from the drawer.
The probability that Joshua takes one white sock and one black sock is 611
(a) Show that 3y2 – 28y + 60 = 0
(4)
(b) Find the probability that Joshua takes two black socks.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(3)
(Total for Question 22 is 7 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
173173Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
23
*S50160A02324*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
BLANK PAGE
22
*S50160A02224*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
BLANK PAGE
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
174174 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
23
*S50160A02324*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
BLANK PAGE
22
*S50160A02224*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
BLANK PAGE
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
175175Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
24
*S50160A02424*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
BLANK PAGE
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
176176 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
24
*S50160A02424*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
BLANK PAGE
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
177177Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
Pape
r 1M
A1:
3H
Que
stio
nW
orki
ngA
nsw
erN
otes
117
1P1
for p
roce
ss to
find
one
shar
eP1
for p
roce
ss to
find
tota
lA
1ca
o
2pl
anC
1a
parti
ally
cor
rect
pla
nC
1co
rrec
t pla
n
3t=
3(y
+ 2a
)M
1ad
ding
2a
to b
oth
side
s or m
ultip
lyin
g ea
ch te
rm
by 3
A1
t= 3
(y+
2a) o
r t=
3y+
6a
47.
15 ≤
x<
7.25
B1
for 7
.15
and
7.25
B1
cao
5(a
)im
prov
emen
tC
1ap
prop
riate
impr
ovem
ent e
g do
not
hav
e ax
es
star
ting
at (0
, 0)
(b)
expl
anat
ion
C1
expl
anat
ion
egpi
ne c
one
has a
ver
y sh
ort w
idth
fo
r its
leng
th
6(a
)1.
95M
1m
etho
d to
find
one
tem
pera
ture
eg 4
500
÷ 12
00M
1fo
r com
plet
e m
etho
dA
1ca
o
(b)
DB
1ca
o
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
178178 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
Pape
r 1M
A1:
3H
Que
stio
nW
orki
ngA
nsw
erN
otes
7co
mpl
ete
chai
n of
reas
onin
gC
1st
arts
cha
in o
f rea
soni
ng e
g fin
ds a
rea
of la
rge
squa
re a
nd a
rea
of tr
iang
le o
r use
of P
ytha
gora
s C
1fo
r (x
+y)
2–
4× (x
×y÷2
) oe
or
22
yx
+×
22
yx
+C
1co
mpl
ete
chai
n of
reas
onin
g w
ith c
orre
ct a
lgeb
ra
8(a
)36
.4P1
star
t pro
cess
eg
met
hod
to fi
nd a
rea
of tr
apez
ium
P1co
mpl
ete
proc
ess t
o fin
d vo
lum
e of
tank
P1pr
oces
s to
find
time
eg v
olum
e ×
1000
÷ 3
00P1
proc
ess t
o fin
d 85
% o
f vol
ume
or o
f tim
eA
1fo
r 36.
4 or
36
min
s 24
secs
(b)
C1
expl
anat
ion
eg if
the
aver
age
rate
was
slow
er it
w
ould
take
mor
e tim
e, if
the
aver
age
rate
was
fa
ster
it w
ould
take
less
tim
e
9(a
)N
o w
ith re
ason
C1
parti
al e
xpla
natio
n, e
g 0.
96 ×
0.9
75C
1N
o w
ith fu
ll ex
plan
atio
n, e
g0.
96 ×
0.9
75 =
0.
936
so o
nly
a 6.
4% re
duct
ion
(b)
3.15
P1co
mpl
ete
proc
ess t
o fin
d va
lue
afte
r 2 y
ears
eg
(145
000
–‘5
800’
) × 2
.5/1
00 o
e or
145
000
× 0.
96
× 0.
975
(= 1
3572
0)P1
(140
000
–‘1
3572
0’) ÷
‘135
720’
× 1
00 o
eA
1fo
r 3.1
5 –
3.15
4
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
179179Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
Pape
r 1M
A1:
3H
Que
stio
nW
orki
ngA
nsw
erN
otes
101
: 2.5
3P1
for s
ubst
itutin
g va
lues
to fi
nd su
rfac
e gr
avity
of
eith
er E
arth
(= 9
.805
..) o
r Jup
iter (
= 24
.796
..)P1
for c
ompl
ete
proc
ess
A1
for 1
: 2.
528
to 2
.53
11x
= 4.
5y
=–2
.5M
1fo
r a c
orre
ct p
roce
ss to
elim
inat
e on
e va
riabl
e (c
ondo
neon
e ar
ithm
etic
err
or)
A1
cao
for e
ither
xor
yM
1(d
ep) f
or su
bstit
utin
g fo
und
valu
e in
toon
e of
the
equa
tions
or a
ppro
pria
te m
etho
d af
ter s
tarti
ng
agai
n (c
ondo
ne o
ne a
rithm
etic
err
or)
A1
cao
1212
.2P1
begi
ns p
roce
ss e
g15
0÷19
.3 (=
7.7
7..)
or 1
50÷8
.9
(= 1
6.85
..)P1
com
plet
e pr
oces
s to
find
tota
l vol
ume
P1co
mpl
ete
proc
esst
o fin
d th
e de
nsity
of t
he a
lloy
A1
for a
nsw
er in
rang
e 12
.1 to
12.
2
13Tr
iang
le
(–6,
2),
(–6,
–1),
M1
for c
orre
ct sh
ape
and
the
corr
ect o
rient
atio
n in
th
e w
rong
pos
ition
or t
wo
verti
ces c
orre
ct.
(–3,
–1)
A1
cao
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
180180 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
Pape
r 1M
A1:
3H
Que
stio
nW
orki
ngA
nsw
erN
otes
14(a
)hi
stog
ram
C1
for 2
cor
rect
bar
s of d
iffer
ent w
idth
s or a
t lea
st 3
co
rrec
t fre
quen
cy d
ensi
ties
C1
all b
ars i
n co
rrec
t pro
porti
ons o
r 4 c
orre
ct b
ars
with
axe
s sca
led
and
labe
lled
C1
fully
cor
rect
his
togr
am w
ith a
xes s
cale
d an
d la
belle
d
(b)
81 ÷
2 =
40.
510
8.2
C1
for 8
1 ÷
2 =
40.5
and
11.
5 ÷
18 ×
5 (=
3.1
9..)
90 to
105
is 2
9C
1Fo
r ans
wer
in ra
nge
108
to 1
09
15sh
own
C1
for
2 )1(
)1(
+−
+ ba
ba
or
3
2
)1(
)1(
)1(
++
−+
bb
ab
aoe
C1
com
plet
e ch
ain
of re
ason
ing
1618
.2M
1fo
r 36
026
0×
π ×8
oe
or 36
010
0×
π ×8
oe
A1
for 1
8.1
to 1
8.2
17pr
oof
C1
star
ts p
roof
eg
n(n+
1) o
r (n
–1)
×nC
1n(
n+1)
+ n
+1 o
r (n
–1)
×n+
nC
1fo
r con
vinc
ing
proo
f inc
ludi
ng (n
+1)2
or n
2
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
181181Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
Pape
r 1M
A1:
3H
Que
stio
nW
orki
ngA
nsw
erN
otes
18(a
)va
lues
0, 2
, 5, 9
, 15,
24
86M
1fo
r sta
rting
to fi
nd a
rea
unde
r cur
veM
1fo
r met
hod
to fi
nd th
e ar
ea u
nder
the
curv
e be
twee
n t=
0an
d t=
10(a
nd a
t lea
st 2
are
as)
A1
(b)
over
estim
ate
with
reas
onC
1fo
r ove
rest
imat
e an
d ap
prop
riate
reas
on li
nked
to
met
hod
eg a
rea
betw
een
trape
zium
s and
cur
veal
so in
clud
ed
19pr
oof
lead
ing
to 227
M1
for f
indi
ng tw
o co
rrec
t rec
urrin
g de
cim
als t
hat
whe
n su
btra
cted
wou
ld re
sult
in a
term
inat
ing
deci
mal
or i
nteg
er w
ith in
tent
ion
to su
btra
cteg
x=
0.31
818.
.., 1
00x
= 31
.818
18...
A1
fully
cor
rect
pro
of
2041
P1st
arts
pro
cess
eg
=AB
2b–
2a
P1pr
oces
s to
find
APor
BP
P1co
mpl
ete
proc
ess t
o fin
d O
PA
1fo
r 41
oe
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
182182 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
Pape
r 1M
A1:
3H
Que
stio
nW
orki
ngA
nsw
erN
otes
2110
.4P1
star
ts p
roce
ss b
y us
ing
cosi
ne ru
le to
find
CD
eg (C
D)2
= 4.
92 +3.8
2 –2×
4.9×
3.8×
cos8
0 (=
31
.98.
.)P1
uses
sine
rule
to fi
nd a
ngle
AC
Dor
ang
le A
DC
eg
'65
5.5'
80sin
8.3sin=
Cor
'
655
.5'80
sin9.4sin
=D
P1us
es si
ne ru
le to
find
BC
or B
D
eg
'6.33
sin'
'65
5.5'
25sin
=BD
P1pr
oces
s to
find
area
eg
1/2
absi
nCA
1fo
r 10.
4 to
10.
43
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
183183Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 © Pearson Education Limited 2015
Pape
r 1M
A1:
3H
Que
stio
nW
orki
ngA
nsw
erN
otes
22(a
)ch
ain
of
reas
onin
gC
1fo
r a re
leva
nt p
rodu
ct e
g 5
+yy
×4
5 +yC
1fo
r a
corr
ect e
quat
ion
eg 2
×
+
×+
45
5y
yy
=116
C1
for m
etho
d to
elim
inat
e fr
actio
ns fr
om a
lgeb
raic
ex
pres
sion
C1
com
plet
e ch
ain
of re
ason
ing
(b)
113M
1m
etho
d to
solv
e eq
uatio
n eg
(ax
+b)
(cx
+d) w
ith
ac=
3 an
d bd
= ±6
0A
1fo
r sel
ectin
g y
= 6
A1
for
113oe
232(
x+
4)2
+ 3
P1pr
oces
s to
find
a, e
g 2x
2+
16x
+ 35
= 2
(x2
+ …
) or
a=
2P1
for 2
((x
+ 4)
2+
…))
or b
= 4
A1
for 2
(x+
4)2
+ 3
or a
= 2,
b=
4, c
= 3
(–4,
3)
B1
ft fr
om a
nsw
er o
f for
m a
(x+
b)2
+c