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Chapter 2 Practice Paper: Fractions, decimals and percentages — question paper

QuizQuipPractice Series
QQ/GCSE-MATHS/CH2

GCSE (9–1) · GCSE Mathematics (Foundation with Higher stretch)

Chapter 2 Practice Paper

Fractions, decimals and percentages

Duration: 40 minutes
Total: 30 marks
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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 use a calculator for questions where it is not explicitly forbidden.
  • The number of marks is given in brackets [ ] at the end of each question or part question.
  • The total mark for this paper is 30.

Original practice material written for the MOE GCSE Mathematics syllabus. It is not an official MOE or school examination paper. Chapter 2: FDP conversions, recurring decimals (Higher), fractions and percentages as operators, one quantity as a percentage of another, percentage change, reverse percentages, simple interest, and compound interest and depreciation (Higher).

For Examiner’s Use
Section A/ 10
Section B/ 20
Total/ 30

Section A: Multiple-choice questions[10 marks]

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

  1. 1

    Written as a decimal, 13⁄20 is

    1. A0.65
    2. B0.13
    3. C1.53
    4. D0.63
    ( )
  2. 2

    Written as a percentage, 0.07 is

    1. A0.7%
    2. B70%
    3. C7%
    4. D700%
    ( )
  3. 3

    Work out 2⁄5 of 45.

    1. A9
    2. B27
    3. C18
    4. D30
    ( )
  4. 4

    Increase 320 by 7.5%.

    1. A24
    2. B344
    3. C240
    4. D416
    ( )
  5. 5

    0.6̇ (that is, 0.666… continuing forever) is equal to the fraction

    1. A6⁄10
    2. B2⁄3
    3. C⅗
    4. D6⁄99
    ( )
  6. 6

    A fee rises from £52 to £65. The percentage increase is

    1. A25%
    2. B20%
    3. C13%
    4. D80%
    ( )
  7. 7

    After a 10% discount a rucksack costs £63. Its original price was

    1. A£69.30
    2. B£73
    3. C£56.70
    4. D£70
    ( )
  8. 8

    Written as a fraction, 0.2̇7̇ (0.272727…) is

    1. A27⁄100
    2. B3⁄11
    3. C27⁄99 unsimplified
    4. D2⁄7
    ( )
  9. 9

    £400 earns 5% simple interest each year. The interest over 4 years is

    1. A£20
    2. B£86.20
    3. C£480
    4. D£80
    ( )
  10. 10

    A bicycle worth £9000 depreciates by 20% each year. Its value after two full years is

    1. A£5400
    2. B£7200
    3. C£5760
    4. D£4500
    ( )

Section B: Structured questions[20 marks]

Show all your working. Marks are given for method as well as for the final answer.

  1. 11

    This question tests decimal and fraction conversions.

    1. (a)

      Convert the decimal 0.68 into a fraction in its simplest form.

      [2]
    2. (b)

      Write 11⁄8 as a mixed number and as a percentage.

      [2]
  2. 12

    A phone’s battery life is tested.

    1. (a)

      A battery lasts 16 hours on standby. In real use it lasts 62.5% of that time. Work out the real-use time.

      [2]
    2. (b)

      A new model lasts 19 hours in real use. Write 19 as a percentage of the old real-use time (10 hours).

      [2]
  3. 13

    Undo each percentage change.

    1. (a)

      After a service charge of 20% is added, a repair bill is £342. Work out the bill before the charge.

      [2]
    2. (b)

      A coat is sold for £92.65 in a 15%-off sale. Work out its original price.

      [2]
  4. 14

    Work this question out without a calculator. (Higher)

    1. (a)

      Using algebra, write 0.7̇2̇ as a fraction in its simplest form.

      [3]
    2. (b)

      Hence write 0.7̇2̇ − 3⁄11 as a single fraction.

      [2]
  5. 15

    Compound growth. (Higher)

    1. (a)

      A social media account has 24 000 followers and gains 8% each month for 3 months. Work out the number of followers after 3 months, to the nearest whole follower.

      [3]

— End of paper —