Answer ALL TWENTY SIX Questions

Centre Surname Initial(s) Paper Reference No. Candidate Signature No. 1 3 8 7 / 0 1

Paper Reference(s) Examiner’s use only 1387/01 Edexcel GCSE Team Leader’s use only 1387 Mathematics A Paper 1 – (Non-Calculator) Foundation Tier Mock Examination Paper Time: 1 hour 30 minutes

Materials required for examination Items included with question papers Ruler graduated in centimetres and Formulae sheet. millimetres, protractor, compasses, pen, HB pencil, eraser. Tracing paper may be used.

Instructions to Candidates In the boxes above, write your Centre Number and Candidate Number, your surname, initial(s) and signature. Check that you have the correct question paper. Answer ALL the questions in the spaces provided in this question paper. Supplementary answer sheets may be used.

Information for Candidates The total mark for this paper is 100. The marks for the various parts of questions are shown in round brackets, e.g.: (2). Calculators may NOT be used. This paper has 26 questions. There is 1 blank page.

Advice to Candidates Work steadily through the paper. Do not spend too long on one question. Show all stages in any calculations. If you cannot answer a question, leave it and attempt the next one. Return at the end to those questions you have left out.

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Answer ALL TWENTY SIX questions.

Write your answers in the spaces provided.

You must write down all stages in your working.

You must NOT use a calculator.

1. Sam had two thousand and forty three pounds.

Pat had five pounds and six pence.

Write down, in figures, how much money Sam and Pat each had.

Sam £ …………………

Pat £ ………………… (Total 2 marks)

2. (a) Write down the fraction of this shape that is shaded.

Write your fraction in its simplest form.

………………………. (2)

3 (b) Shade of this shape. 4

(1)

(Total 3 marks)

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3. (a) Measure the length of the line AB. …………………cm (1)

A B

The line AB is to be a radius of a circle.

(b) Draw the circle with centre A. (1)

…………………….cm (1)

(d) Mark with a cross (X) a point on the circumference of the circle. (1) (Total 4 marks)

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4. (a) Solve the equation 5x = 30.

x = ……………… (1) (b) Solve the equation y + 3 = 10.

y = ……………… (1) (Total 2 marks)

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5. Here is a pictogram showing the number of tennis players who played at the local tennis club last week.

Represents 4 Monday tennis players Tuesday

Wednesday

Thursday

Friday

Saturday

Sunday

(a) Write down the number of tennis players who played on

(i) Tuesday, …………………. (ii) Wednesday. …………………. (2)

On Saturday 20 tennis players played at the club.

(b) Show this on the pictogram. (1)

On Sunday 13 tennis players played at the club.

Tim thinks that the average number of tennis players who played at the club each day last week is 7.

(d) Explain why Tim cannot be correct.

......

………………………………………………………………………………………..

(1) (Total 5 marks) 6. A shaded shape is shown on the grid of centimetre squares.

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(a) Find the area of the shaded shape. …………………… cm2 (2)

(b) On the grid draw a rectangle that has the same area as the shaded shape.

(1) The shaded shape has one line of symmetry.

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7. Maggie buys

1 1 2 kg of carrots at 64p per kg, 4 cakes at 35p each, 6 tins of soup at 43p each.

She pays with a £10 note. Work out how much change she should get.

£ ……………….. (Total 4 marks)

8. Here is a list of seven numbers

6 8 9 12 14 20 23

From the list, write down

(a) a square number, …………………… (1) (b) a number that is a multiple of 7, …………………… (1) (c) two numbers that are factors of 40, ………..………….. (1) (d) two numbers with a difference of 9. ………...…………. (1) (Total 4 marks)

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9. The chart below shows the distances, in miles, between pairs of cities by the fastest route. For example, the distance between Cardiff and Edinburgh is 400 miles by the fastest route.

London 155 Cardiff 212 245 York 413 400 193 Edinburgh

(a) Write down the distance between London and York by the fastest route.

…………….. miles (1)

Kate drove from London to Cardiff by the fastest route and then she drove from Cardiff to Edinburgh by the fastest route. Scott drove directly from London to Edinburgh by the fastest route.

(b) Work out how many more miles Kate travelled than Scott.

……………….. miles (3) (Total 4 marks)

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10.

Diagram NOT accurately drawn

60°

x° 100°

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

………………..° (ii) Give a reason for your answer.

..………………………………………………………………………………………………

..……………………………………………………………………………………………… (2) (Total 2 marks)

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11. Here are some patterns made from matchsticks:

Pattern Pattern Pattern number 1 number 2 number 3

(a) Draw Pattern number 4.

(1) (b) Complete this table for the pattern sequence

Pattern number 1 2 3 4 5

Number of matchsticks used 4 7 10 (1)

…………………... (2)

Asif says that if there are m matchsticks in pattern number n then the formula for m in terms of n is m = 4n.

(d) Explain why Asif’s formula is not correct.

…………………………………………………………………………………………

………………………………………………………………………………………… (2) (Total 6 marks)

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12. The table shows temperatures at midnight and midday on one day in five cities.

Midnight Midday City temperature temperature Belfast −1 °C 5 °C

Cardiff −2 °C 3 °C

London −8 °C −1 °C

Manchester −3 °C 1 °C

York −6 °C 4 °C

(a) Which city had the lowest midnight temperature? ……………………………. (1)

(b) At midnight, how many degrees higher was the temperature in Cardiff than York?

…………..°C (1)

……………………………. (1)

(d) Which city had the greatest rise in temperature from midnight to midday?

……………………………. (1) (Total 4 marks)

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13.

50 s e r t

i 40 L

0 0 5 10 15 20 Gallons

The conversion graph above can be used for changing between gallons and litres.

(a) (i) Use the graph to change 11 gallons to litres.

…………………… litres

(ii) Use the graph to change 35 litres to gallons.

………………… gallons (2)

1 Last week David’s car used 27 2 gallons of petrol. David paid 70p for each litre of petrol.

1 (b) Work out how much David paid for 27 2 gallons of petrol.

£ ………………... (5) (Total 7 marks)

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14. Here is a sketch of a triangle Diagram NOT accurately drawn

3.6 cm 6 cm

7.5 cm

In the space below, use ruler and compasses to construct the triangle accurately. You must show all construction lines.

(Total 3 marks)

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15. (a) Work out the value of 2 + 100 . ………………….. (1)

(b) Write these numbers in order of size. Start with the smallest number.

(i) 0.39, 0.4, 0.049, 0.49, 0.409.

………………………………………..

(ii) 4, 3, 1, 5, 7.

………………………………………….. (2)

…………………. (1) (Total 4 marks)

16. David and Clare are studying a number pattern. The first three numbers in the pattern are 1, 2 and 6.

David says the next two numbers are 13 and 23. Clare says the next two numbers are 15 and 31.

(i) Explain why David could be right.

..………………………………………………………………………………………………

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

(ii) Explain why Clare could be right.

……………………………………………………………..…………………………………

………………………………………………………………..……………………………… (1) (Total 2 marks)

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17.

3 cm Diagram NOT accurately 2 cm drawn

(a) Work out the area of the rectangle

………………… cm2 (1) The rectangle is enlarged by a scale factor 2.

(b) Work out the area of the enlarged rectangle.

………………… cm2 (2) (Total 3 marks)

3 5 18. Here are two fractions and 4 7 Explain which is the smaller fraction.

You may use the grids to help with your explanation.

..………………………………………………………………………………………………

..……………………………………………………………………………………………… (3) (Total 3 marks)

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19. 80 Year 12 students each study one Science. The table shows some information about these students.

Biology Chemistry Physics Total Female 18 47 Male 19

Total 21 33 80

(a) Complete the table. (3)

One of these students is picked at random.

(b) Write down the probability that the student studies Physics.

………………. (1) (Total 4 marks)

7.8 5.3 20. Work out an estimate for the value of 10.3

………………………… (2) (Total 2 marks)

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21. 22 students took a short test. The table gives information about their marks in the test.

Mark Frequency

7 1

8 6

9 5

10 8

(a) Write down the modal mark.

……………………. (1) (b) Work out the range of the marks.

……………………. (1) (c) Work out the mean mark.

…………………….. (3) (Total 5 marks)

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22. Jane drove 320 km from her home to the airport. The travel graph shows Jane’s journey.

320

280

240 m k

n i

200 e m o

h 160

m o r f

120 e c n a

t 80 s i D 40

1 2 3 4 5 Time in hours During the journey, Jane stopped for lunch.

(a) (i) For how long did Jane stop for lunch?

………………………… (ii) How far had Jane travelled in the first 90 minutes?

…………………….. km (2) (b) Work out the steady speed that Jane travelled at after lunch.

……………………. km/h (2) Jane’s car uses 1 gallon of petrol for each 40 miles. A gallon of petrol costs £3.20

£ ……………….. (4) (Total 8 marks) 23. Here is the plan and side elevation of a prism.

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The side elevation shows the cross section of the prism.

On the grid below, draw the front elevation of the prism.

(Total 3 marks)

24. Lisa won a lottery.

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1 She used of her lottery win to buy a house. 2 1 She gave of her lottery win to a charity. 6 Lisa then shared the remainder of her lottery win equally amongst her four children.

Work out the fraction of Lisa's lottery win that each of her four children received.

……………………… (Total 4 marks)

25. Mr Smith owns minibuses and coaches.

Each minibus has 12 seats.

(a) Write an expression, in terms of m, for the number of seats in m minibuses.

……………………………… (1) Each coach has 48 seats

(b) Write an expression, in terms of m and c, for the number of seats in m minibuses and c coaches.

……………………………… (2) (Total 3 marks)

26. (a) Work out the size of an exterior angle of a regular hexagon.

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……………………° (2)

A regular hexagon is made from a rectangular piece of metal. This is done by removing the four congruent triangles shown shaded in the diagram.

Diagram NOT accurately drawn

The total area of the four shaded triangles is 600 cm2.

………………… cm2 (3) (Total 5 marks)

TOTAL FOR PAPER: 100 MARKS

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