Paper 2Edexcel Style

Foundation TierMay 2016

Time 1 Hour 45 MinutesMarks Available 100

Commissioned by The PiXL Club Ltd.

- 1 - PiXL Club

Name

Class

Formulae: Foundation Tier

You must not write on this formulae page.Anything you write on this formulae page will gain NO credit.

Area of trapezium = (a + b)h

Volume of prism = area of cross section × length

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Question 1

(a) Write down the fraction of this shape that is shaded.Give your fraction in its simplest form.

...........................(2)

(b) Shade

27 of this shape.

(1)

(Total 3 marks)

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Question 2

a) Work out 52

…………………………(1)

b) Find the square root of 3.24

…………………………(1)

c) Work out the number that is half-way between 3.7 and 4.4

…………………………(1)

(Total 3 marks)

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Question 3

Work out the bearing of B from A(Total 2 marks)

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Diagram NOT accurately drawn

Question 4

On the grid, enlarge the shaded shape by a scale factor of 3, centre O.(3)

(Total 3 marks)

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Question 5

(Total 2 marks)

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Question 6

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Question 7

Use your calculator to work out the value of √20.25 + 1.652

(a) Write down all the figures on your calculator display.

……………………………(2)

(Total 2 marks)

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Question 8

(a) Write down the coordinates of the point A.

(……………………. . …………………….)(1)

(b) Write down the coordinates of the point B.

(……………………. . …………………….)(1)

N is the point (-3, 2)

(c) On the grid, mark the point N with a cross (x), Label it N(1)

M is another point.The x coordinate of M is the same as the x coordinate of NThe y coordinate of M is the same as the y coordinate of B

(d) Write down the coordinates of the point M(……………………. . …………………….)

(1)(Total 4 marks)

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Question 9

The numbers of driving lessons taken by fifteen people before passing their driving test are shown.

22 15 9 18 2938 18 19 48 1613 21 58 23 13

(a) Complete an ordered stem-and-leaf diagram to represent this data.Remember to complete the key

………………………………………………………………………………………………………

………………………………………………………………………………………………………

………………………………………………………………………………………………………

………………………………………………………………………………………………………

………………………………………………………………………………………………………

………………………………………………………………………………………………………

………………………………………………………………………………………………………

………………………………………………………………………………………………………

………………………………………………………………………………………………………

………………………………………………………………………………………………………

(b) The mean of these numbers is 24Tony says, ‘The average number of lessons needed to pass a driving test is 24’Is this a reasonable statement to make?Give a reason for your answer.………………………………………………………………………………………………………

………………………………………………………………………………………………………

………………………………………………………………………………………………………

(1)(Total 4 marks)

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Question 10

(a) Work out the highest common factor (HCF) of

16 and 20

………………………(1)

(b) Work out the lowest common multiple (LCM) of

16 and 20

………………………(1)

(Total 2 marks)

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Question 11

On the grid draw a graph of y = 3x + 4

(Total 4 marks)

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Question 12

(i) Work out the size of angle marked x

…………………………… º(2)

(ii) Give a reason for your answer.

……………………………………………………………………………………………………

……………………………………………………………………………………………………

……………………………………………………………………………………………………

……………………………………………………………………………………………………

……………………………………………………………………………………………………

(1)

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Diagram NOT accurately drawn

ANB is parallel to CMDLNM is a straight lineAngle LMD = 68º

(i) Work out the size of angle marked y

…………………………… º(1)

(ii) Give a reason for your answer.

……………………………………………………………………………………………………

……………………………………………………………………………………………………

……………………………………………………………………………………………………

(2)

(Total 6 marks)

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Diagram NOT accurately drawn

Question 13

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Question 14

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Question 15

(a) (i) Work out the size of the angle marked x.

x = ............................°

(ii) Give a reason for your answer.

..............................................................................................................................................

.............................................................................................................................................. (3)

(b) (i) Work out the size of the angle marked y.

y = ............................°

(ii) Give a reason for your answer.

..............................................................................................................................................

.............................................................................................................................................. (3)

(Total 6 marks)

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Question 16

(Total 3 marks)

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Question 17

There are only red, yellow, orange and green sweets in a bag.

Peter recorded the colour of each sweet in the bag.

The bar chart shows some information about his results.

8 sweets were orange.5 sweets were green.

(a) Complete the bar chart.(2)

(b) Write down the number of red sweets.

..................................(1)

(c) What colour sweet is the mode?.................................

(1)

(d) Work out the total number of sweets in the bag.

.................................(1)

(Total 5 marks)

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Question 18

The scatter graph shows information about eight sheep.It shows the height and the length of each sheep.

The table gives the height and the length of two more sheep.

Height (cm) 65 80

Length (cm) 100 110

(a) On the scatter graph, plot the information from the table.(1)

(b) Describe the relationship between the height and the length of these sheep.

....................................................................................................................................................(1)

The height of a sheep is 76 cm.

(c) Estimate the length of this sheep.

................................cm(2)

(Total 4 marks)

Question 19- 21 - PiXL Club

Here are the weights, in kg, of 7 people.

57 87 49 49 72 45 75

(a) Work out the modal weight

................................ kg(1)

(b) Work out the range of these weights.

................................ kg(2)

(c) Work out the mean weight.

................................ kg(2)

(Total 5 marks)

Question 20

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(Total 4 marks)

Question 21

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The equation

x3 + 10x = 25

has a solution between 1 and 2

Use a trial and improvement method to find this solutionGive your answer correct to one decimal place.You must show all your working

x = ……………………………….

(Total 4 marks)

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Question 22

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Question 23

ABC is a right-angled triangleAC = 6cmBC = 14cm

(a) Work out the area of triangle ABC

……………………………….cm 2

(2)

(b) Calculate the length of ABGive your answer correct to 2 decimal places

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Diagram NOT accurately drawn

……………………………….cm

(3)

(Total 5 marks)

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Question 24

(a) Factorise x2 – 5x

………………………(2)

(b) Expand and simplify (x + 3)(x + 4)

………………………(2)

(Total 4 marks)

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Question 25

Sethina recorded the times, in minutes, taken to repair 80 car tyres.Information about these times is shown in the table.

Time(tminutes) Frequency

0 < t 6 15

6 < t 2 25

12 < t 18 20

18 < t 24 12

24 < t 30 8

Calculate an estimate for the mean time taken to repair each car tyre.

........................ minutes

(Total 4 marks)

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Question 26

Jamie travelled 20km from his home to his friend’s houseJamie then spent some time at his friend’s house before returning home.Here is the travel graph for part of Jamie’s journey.

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(Total 6 marks)

END OF QUESTION PAPER

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