Papers 2 & 3 style (Foundation)
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Papers 2 & 3 style practice paper: Foundation (calculator) — question paper

QuizQuipPractice Series
QQ/GCSE-MATHS/P23FS

GCSE (9–1) · GCSE Mathematics (Foundation)

Papers 2 & 3 style practice paper

Foundation (calculator)

Duration: 90 minutes
Total: 80 marks
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Class:
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Date:

READ THESE INSTRUCTIONS FIRST

  • Answer all questions.
  • Section A contains ten multiple-choice questions. Choose one answer, A, B, C or D, for each.
  • Section B contains structured questions. Write your answers in the spaces provided.
  • A calculator may be used. Round non-exact answers to 3 significant figures unless told otherwise.
  • The number of marks is given in brackets [ ] at the end of each question or part question.
  • The total mark for this paper is 80.

Original practice material written for the MOE GCSE Mathematics syllabus. It is not an official MOE or school examination paper. Foundation content with calculator work: money and best buys, percentages, ratio and conversion, speed, trapeziums and circles, trigonometry, volume, averages and probability.

For Examiner’s Use
Section A/ 10
Section B/ 70
Total/ 80

Section A: Multiple-choice questions[10 marks]

Choose one answer for each question. Every correct answer scores one mark.

  1. 1

    Work out 3.2 × 0.4.

    1. A0.128
    2. B12.8
    3. C1.28
    4. D128
    ( )
  2. 2

    Work out 45% of 80.

    1. A36
    2. B45
    3. C40.5
    4. D3.6
    ( )
  3. 3

    Seven tickets cost £4.50 each. The total cost is

    1. A£28
    2. B£31
    3. C£315
    4. D£31.50
    ( )
  4. 4

    Work out 5.6 ÷ 0.7.

    1. A8
    2. B0.8
    3. C80
    4. D1.2
    ( )
  5. 5

    Work out 12% of 250.

    1. A3
    2. B25
    3. C30
    4. D37
    ( )
  6. 6

    Round 7.463 to 1 decimal place.

    1. A7.4
    2. B7.5
    3. C7.46
    4. D7
    ( )
  7. 7

    A car travels 120 km in 1.5 hours. Its average speed is

    1. A80 km/h
    2. B75 km/h
    3. C90 km/h
    4. D180 km/h
    ( )
  8. 8

    A square tile has sides of 30 cm. Its area is

    1. A90 cm²
    2. B60 cm²
    3. C9000 cm²
    4. D900 cm²
    ( )
  9. 9

    Write ⅜ as a percentage.

    1. A3.8%
    2. B0.375%
    3. C37.5%
    4. D38.5%
    ( )
  10. 10

    The cube root of 64 is

    1. A2
    2. B4
    3. C8
    4. D16
    ( )

Section B: Structured questions[70 marks]

Show all your working. A calculator may be used.

  1. 11

    A lunch order.

    1. (a)

      Three items cost £3.75, £2.40 and £1.85. Find the total cost.

      [2]
    2. (b)

      How much change is given from £20?

      [2]
    3. (c)

      Rice is sold as 500 g for £2.40 or 800 g for £3.60. Which size is better value? Show working.

      [2]
  2. 12

    Percentages.

    1. (a)

      Work out 30% of £74.

      [2]
    2. (b)

      Increase 240 by 12%.

      [2]
    3. (c)

      £500 is invested at 3% simple interest per year for 4 years. Find the total interest.

      [3]
  3. 13

    Ratio and exchange.

    1. (a)

      Share 88 sweets between two children in the ratio 3 : 5. How many does each get?

      [2]
    2. (b)

      A recipe for 15 pancakes uses 6 eggs. How many eggs are needed for 40 pancakes?

      [3]
    3. (c)

      The exchange rate is £1 = €1.15. Convert £50 to euros.

      [2]
  4. 14

    Speed and fuel.

    1. (a)

      A train travels 240 km in 3 hours. Find its average speed.

      [2]
    2. (b)

      A coach averages 85 km/h for 2.5 hours. How far does it travel?

      [2]
    3. (c)

      A journey of 150 miles takes 2.5 hours. Find the average speed in mph.

      [2]
    4. (d)

      A car uses 8.5 litres of fuel per 100 km. How much fuel does a 640 km journey need?

      [2]
  5. 15

    Area and circles.

    1. (a)

      A trapezium has parallel sides 6 cm and 10 cm and perpendicular height 4 cm. Find its area.

      [3]
    2. (b)

      A circle has diameter 12 cm. Find its circumference. Give your answer to 3 significant figures.

      [3]
    3. (c)

      A circle has radius 5 cm. Find its area to 3 significant figures.

      [2]
  6. 16

    Angle reasoning.

    1. (a)

      Two parallel lines are cut by a straight line. One co-interior angle is 118°. Find the other.

      [2]
    2. (b)

      Find the size of the exterior angle of a regular octagon.

      [2]
    3. (c)

      An isosceles triangle has an apex angle of 40° and sits with one base angle on a straight line. Find the angle between the base and the line (the angle next to a base angle on the straight line).

      [4]
  7. 17

    Pythagoras and trigonometry.

    1. (a)

      A right-angled triangle has shorter sides 7 cm and 5 cm. Find the hypotenuse to 1 decimal place.

      [3]
    2. (b)

      A right-angled triangle has an angle x with opposite side 6 cm and adjacent side 4 cm. Find x to 1 decimal place.

      [4]
  8. 18

    Volume.

    1. (a)

      A cuboid measures 8 cm by 5 cm by 4 cm. Find its volume.

      [2]
    2. (b)

      A cylinder has radius 3 cm and height 10 cm. Find its volume to 1 decimal place.

      [3]
    3. (c)

      Convert your answer to (b) into litres (1 litre = 1000 cm³).

      [2]
  9. 19

    Statistics.

    1. (a)

      Five phone bills, in £, are 4.20, 3.80, 5.10, 2.90 and 4.00. Find the mean.

      [2]
    2. (b)

      State the median of the same five bills.

      [1]
    3. (c)

      In a pie chart of 50 people, one sector is 72°. How many people does it represent?

      [2]
    4. (d)

      A time-series graph of monthly visitors rises from 200 in January to 260 in June, with a dip every May. State the trend.

      [1]
  10. 20

    Probability.

    1. (a)

      A drawing pin lands point-up 36 times out of 60 throws. Find the relative frequency of point-up.

      [2]
    2. (b)

      A game is won with probability 0.35. Out of 240 attempts, how many wins are expected?

      [2]
    3. (c)

      P(rain) = 0.42. Find P(not rain).

      [2]

— End of paper —