Paper 1-style (Foundation)
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Paper 1-style practice paper: Foundation (non-calculator) — question paper

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QQ/GCSE-MATHS/P1FS

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

Paper 1-style practice paper

Foundation (non-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.
  • You may not use a calculator. Give fractions in their simplest form.
  • 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 across all six topic areas, non-calculator: number and fractions, percentages, ratio, algebra, angles and shape, 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 ¾ + ⅛.

    1. A4⁄12
    2. B⅞
    3. C⅜
    4. D6⁄9
    ( )
  2. 2

    Write 0.6 as a fraction in its simplest form.

    1. A⅗
    2. B6⁄5
    3. C⅔
    4. D1⁄6
    ( )
  3. 3

    Work out 20% of 45.

    1. A4.5
    2. B90
    3. C9
    4. D5
    ( )
  4. 4

    The highest common factor of 12 and 18 is

    1. A3
    2. B36
    3. C4
    4. D6
    ( )
  5. 5

    Work out 2³.

    1. A6
    2. B8
    3. C9
    4. D5
    ( )
  6. 6

    Simplify 3a + 2b + 5a − b.

    1. A8a + b
    2. B8a + 3b
    3. C15ab
    4. D8ab
    ( )
  7. 7

    Solve 2x + 3 = 11.

    1. Ax = 7
    2. Bx = 3.5
    3. Cx = 14
    4. Dx = 4
    ( )
  8. 8

    The angles of a quadrilateral sum to

    1. A180°
    2. B270°
    3. C360°
    4. D540°
    ( )
  9. 9

    A bag holds 3 red and 5 blue counters. One is drawn at random. P(red) is

    1. A⅝
    2. B⅜
    3. C⅗
    4. D⅛
    ( )
  10. 10

    A rectangle measures 8 cm by 4.5 cm. Its area is

    1. A36 cm²
    2. B24 cm²
    3. C25 cm²
    4. D12.5 cm²
    ( )

Section B: Structured questions[70 marks]

Show all your working. You may not use a calculator.

  1. 11

    Non-calculator arithmetic.

    1. (a)

      Work out 456 − 178.

      [2]
    2. (b)

      Work out 144 ÷ 8.

      [1]
    3. (c)

      Work out ⅗ of 60.

      [2]
  2. 12

    Fractions, decimals and percentages.

    1. (a)

      Write 7⁄20 as a decimal.

      [1]
    2. (b)

      Write 0.45 as a fraction in its simplest form.

      [2]
    3. (c)

      Increase £60 by 15%.

      [3]
  3. 13

    Ratio and proportion.

    1. (a)

      Simplify the ratio 24 : 36.

      [1]
    2. (b)

      Share £120 between three charities in the ratio 2 : 3 : 5. Find the largest share.

      [3]
    3. (c)

      A recipe uses 150 g of flour for 8 pancakes. How much flour is needed for 20 pancakes?

      [2]
  4. 14

    Powers, roots and factors.

    1. (a)

      Work out 5².

      [1]
    2. (b)

      Work out √81.

      [1]
    3. (c)

      Work out 3 × 4² − 10.

      [2]
    4. (d)

      Write 360 as a product of prime factors. Give your answer in index form.

      [3]
  5. 15

    Algebra.

    1. (a)

      Simplify 4p × 3q.

      [1]
    2. (b)

      Expand 3(2x − 5).

      [2]
    3. (c)

      Factorise x² + 7x + 10.

      [2]
    4. (d)

      Solve 5x − 2 = 3x + 10.

      [3]
  6. 16

    Angles.

    1. (a)

      Two angles lie on a straight line. One of them is 132°. Find the other.

      [2]
    2. (b)

      An isosceles triangle has base angles of 55°. Find the angle at the apex.

      [2]
    3. (c)

      The exterior angle of a regular polygon is 30°. How many sides does it have?

      [2]
    4. (d)

      The bearing of B from A is 060°. State the bearing of A from B.

      [2]
  7. 17

    Perimeter, area and volume.

    1. (a)

      A triangle has base 10 cm and perpendicular height 6 cm. Find its area.

      [2]
    2. (b)

      A circle has radius 5 cm. Find its exact area. Give your answer in terms of π.

      [2]
    3. (c)

      A cube has edges of 3 cm. Find its volume.

      [2]
    4. (d)

      Convert 2.4 m into millimetres.

      [2]
  8. 18

    Pythagoras, polygons and transformations.

    1. (a)

      A right-angled triangle has shorter sides 6 cm and 8 cm. Find the length of the hypotenuse.

      [3]
    2. (b)

      Find the sum of the interior angles of a pentagon.

      [2]
    3. (c)

      A square has vertices (0, 0), (2, 0), (2, 2) and (0, 2). It is translated by the vector (3, −1). Write down the coordinates of the four new vertices.

      [3]
  9. 19

    Averages.

    1. (a)

      Five test marks are 4, 6, 5, 5 and 10. State the mode.

      [1]
    2. (b)

      Find the median.

      [2]
    3. (c)

      Find the mean.

      [2]
    4. (d)

      Find the range.

      [2]
  10. 20

    Probability from a two-way table.

    1. (a)

      A fair six-sided die is rolled once. Write down P(an odd number).

      [1]
    2. (b)

      50 pupils travel to school: 28 are girls, of whom 20 walk. In total 32 pupils walk. Copy and complete the two-way table (boys/girls against walk/other).

      [2]
    3. (c)

      Find the probability that a pupil chosen at random walks.

      [2]
    4. (d)

      Find the probability that a pupil chosen at random is a boy.

      [2]

— End of paper —