Standard Grade Past Papers GENERAL LEVEL 2002 onwards FORMULAMAIN GRIDPAPER ONLY.

Standard Grade Standard Grade Past PapersPast Papers

**GENERAL LEVELGENERAL LEVEL**

2002 onwards2002 onwards

FORMULA MAIN GRID PAPER ONLY

Topic2000 2001 2002 2003 2004

I II I II I II I II I II

2005 MAIN GRID

Topic2005 2006 2007

I II I II I II I II I II

Paper 2Paper 1

FORMULA

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Simply click on the ‘tick’ beside the paper you want.

Formula List

Circumference of a circle: C=πd Volume of a cylinder: V=πr2h

Area of a circle: A=πr2 Volume of a triangular prism: V=Ah

Curved surface area (cylinder): A=2πrh

Theorem of Pythagoras:

a2+b2=c2

Trigonometric ratios in a right angled triangle:

Hypotenuse

Adjacent

Opposite

tanx° =

sinx° =

cosx° =

OppAdj

OppHyp

AdjHyp

Gradient:

Horizontal Distance

VerticalHeight

Gradient = VerticalHorizontal

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General2002

Paper 1

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SQA Past Paper Questions : General 2002 paper 1

1. Carry out the following calculations.

a) 9.2 – 3.71 + 6.47

b) 7.29 x 8

b) 687 ÷ 300

c) 3 x 2 43

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SQA Past Paper Solutions : General 2002 paper 1

Solution

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2. Davina has a bag of swets.

It contains three yellow sweets, four purple sweets, two red sweets and six pink sweets.

The corner of the bag is torn and a sweet falls out.a) What is the probability that this sweet is yellow?

b) The sweet that fell out was yellow and she put it in thebin. What is the probability that the next sweet to fallout is pink?

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Solution

1. a) 9.2 – 3.71 = 5.49

5.49 + 6.47 = 11.96

b) 58.32

c) 687 ÷ 3 = 229

229 ÷ 100 = 2.29

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Marks 3. Complete this shape so that it has quarter turn symmetry about O.

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Solution

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3. There are five million people in the United Kingdom aged 15-19.30% of these five million people regularly watch cartoons.How many people is this? 2 KU

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5. a) On the grid below, plot the points A(-4,-3), B(3,-1) and C(4,4).

b) Find the gradient of the line AB.

c) Plot a fourth point D so that shape ABCD is a parallelogram.Write down the coordinates of point D.

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6. Starting with the smallest, write the following in order.

2 RE0.404 41% 0.04

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2 REIn the above diagram with circle centre O,

•Triangle AOB is isosceles.•AB is a tangent to the circle at C.•Angle CAO is 26˚

Calculate the size of the shaded angle COB.

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8. The Science and Maths marks for 10 students are shown below.

Student A B C D E F G H I J

Science 35 45 65 70 57 25 80 85 10 34

Maths 41 52 65 75 60 28 84 90 11 37

a) Using these marks draw a Scattergraph.

b) Draw a best-fitting line.

c) A student whose science mark is 50was absent from the Maths exam.Using the best-fitting line, estimatethis students Maths mark.

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9. A gardener has been measuring the weekly growth rates of plants.

Two of the plants that have been measured are Plant A and Plant B.

One week Plant A is 29cm high and Plant B is 46cm high. The next week Plant A is 57cm and Plant B is 71cm.

Which plant has grown more in the week and by how much?

Plant BPlant A

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10. A car has five tyres, one on each of the four road wheels and one on the spare wheel.

Mr Anderson switched his wheels regularly so that all five tyres were used equally.

Last year he travelled 20,000 miles. How many miles did each tyre do on the road?

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General2002

Paper 2

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1. John drives from Edinburgh to Inverness at an average speed of76 kilometres per hour.

The journey takes him 3 hours 45 minutes.

How far is it from Edinburgh to Inverness?2 KU

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2. Andrea sees this advertisement for a computer in CompCo.

a) Andrea buys the computer from CompCo.What is the total cost of the computer including VAT?Round your answer to the nearest penny.

b) One week later she sees the same computer in a different

shop for £900 including VAT.She returns the computer she bought from CompCo.How much should be refunded to her?

CompCoSpecial Offer£779 + VAT

(17.5%)OUR PROMISE

If you find the same computer cheaper

we’ll refund double the

difference.

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3. A column is in the shape of a cylinder. It is 450 centimetres highand it’s diameter is 40 centimetres.

a) Find the volume of the column in cubic centimetres.

b) Write your answer to (a) in scientific notation.

450 cm

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4. A metal fence for a garden is made by joining iron bars as shown below.

1 section 2 sections 3 sections

a) Complete this table.

Number of sections (s) 1 2 3 4 12

Number of iron bars (b) 8 22

b) Find a formula for calculating the number of iron bars (b) when you know the number of sections.

c) A fence has been made using 176 iron bars. How many sections does the fence have?

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5. A sum of £1640 is invested in a bank.The rate of interest is 4.5% per annum.Calculate the simple interest gained in 9 months.

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6. PQRS is a rhombus.It’s diagonals PR and SQ are 20 centimetres and 12 centimetres long respectively. P

Calculate the size of the shaded angle PQR.Do not use a scale drawing.

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7. The diagram below shows the wall Jamie has tiled above the bath in his house. He used rectangular tiles, some of which he halved.

The length of each tile is 30 centimetres.The breadth of each tile is 20 centimetres.

A strip of plastic is fitted along the top of the tiles.

Calculate the length of the strip of plastic.

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8. A cabinet has a door that opens downwards until it is at right angles to the front of the cabinet.

A rod is pinned to the door at point P, 15 cm from the hinge, H.The rod is 35cm long and passes through a tube at point T.The tube is 20cm vertically above the hinge.

Ta) This diagram shows the positions of the points

P,T and H when the door is open.

Draw this diagram to a scale factor of 1:2.

b) Use your scale drawing to find the actual length of the rod between the points P and T. 2 RE

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9.a) Solve algebraically the equation

4 ( 3x + 2 ) = 68

b) Factorise

10y + 15

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10. A joiner is making tables for a new coffee shop. The shape of the top of the table is a semi-circle as shown below. AB = 120 centimetres.

The top of the table is made from wood and a metal edge is to be fixed to it’s perimeter.

a) Calculate the total length of the metal edge.

b) The coffee shop needs 16 tables.The joiner has 50 metres of metal edging in the workshop.Will this be enough for all 16 tables?Give a reason for your answer

A B120 cm

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11. The Davidson family is planning to buy a new kitchen using Hire Purchase.

The Cash price is £6300.

The Hire Purchase price is 22% more than the cash price.

The Hire Purchase agreement requires a deposit, which is 15% of the cash price, followed by 60 equal instalments.

Calculate the cost of each instalment.

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General2003

Paper 1

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1. Carry out the following calculations.

a) 3.58 – 2.734

b) 6.37 x 60

b) 13.8 ÷ 4

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2. Bruce sets out from base during an orienteering competition.

The arrow in the sketch below shows the direction in which he is travelling.

West 21

What is the three-figure bearing of this direction?

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3. Nine wooden balls numbered one to nine are placed in a bag.

A ball is removed from the bag.

What is the probability that this ball has a number more than 7?

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4. The letter A is shown in the diagram.

On the grid below, draw an enlargement of this letter A using a scale factor of 2.

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5. The number of hours of sunshine was recorded daily in a city during a three week period in June.

The results are shown in the stem and leaf diagram below.0 81 2 1 3 3 2 5 74 1 5 7 85 2 3 66 0 2 27 1 1 3 7 9

N=21 3 2 represents 3.2

a) Calculate the range.

b) Find the median number of hours. 1 KU

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6. Four friends have dinner in a restaurant.A service charge of 15% has been added to their bill.Their bill is below.

One of the friends thinks the service charge has been calculated wrongly.

Is the service charge correct?Give a reason for your answer.

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7. In a True and False game, players score +3 for a correct answer and -1 for an incorrect answer.

THE TRUE OR FALSE GAME

+3 for a correct answer.-1 for an incorrect answer.

a) Ann had 2 questions correct and 8 wrong.What was her score?

b) David answered 10 questions.His score was 18.How many questions did he answer correctly?

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8. The international sizes for writing paper are shown in the list below.

All measurements are in millimetres.

A3 297 x 420 A4 210 x 297A5 148 x 210A6 105 x 148A7 74 x 105A8 52 x 74A9 37 x 52A10

By inspecting the list, write down the measurements for A10 paper.

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9. The planet Pluto is approximately 7364 million kilometres from the Sun.

Write this number in Scientific Notation.

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In the diagram above

a circle, centre O, is drawn.

The line AC is a tangent to the circle at B.

Angle DBA = 70˚

Calculate the size of the shaded angle BOE.

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Standard Grade Past Papers *GENERAL LEVEL* 2002 onwards FORMULAMAIN GRIDPAPER ONLY.

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Standard Grade Past Papers GENERAL LEVEL 2002 onwards FORMULAMAIN GRIDPAPER ONLY.

Transcript of Standard Grade Past Papers GENERAL LEVEL 2002 onwards FORMULAMAIN GRIDPAPER ONLY.