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

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QQ/IGCSE-MATHS/T2

IGCSE · Cambridge IGCSE Mathematics (Extended (Core + Extended))

Topic 2 Practice Paper

Fractions, decimals and percentages

Duration: 40 minutes
Total: 30 marks
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Class:
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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.
  • 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 against the Cambridge IGCSE Mathematics syllabus. It is not an official Cambridge examination paper. Topic 2: fraction–decimal–percentage conversions (including recurring decimals), the four operations with mixed numbers, percentage change, reverse percentages, simple and compound interest, depreciation, time, timetables and currency.

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

    Which fraction is equal to 0.625?

    1. A6/25
    2. B5/8
    3. C5/6
    4. D62/5
    ( )
  2. 2

    Work out 5 − 2 × (−3).

    1. A−1
    2. B9
    3. C11
    4. D−11
    ( )
  3. 3

    A temperature falls from 8 °C to −4 °C. The fall is

    1. A12 °C
    2. B4 °C
    3. C8 °C
    4. D−12 °C
    ( )
  4. 4

    Work out 7/10 − 2/5.

    1. A5/5
    2. B9/10
    3. C3/5
    4. D3/10
    ( )
  5. 5

    Which multiplier decreases a value by 8%?

    1. A1.08
    2. B0.92
    3. C0.08
    4. D8.0
    ( )
  6. 6

    Express 45 minutes as a fraction of 2 hours, in its simplest form.

    1. A3/8
    2. B3/4
    3. C5/8
    4. D2/5
    ( )
  7. 7

    What is 65 as a percentage of 500?

    1. A0.13%
    2. B7.7%
    3. C13%
    4. D30%
    ( )
  8. 8

    A train due at 14 20 arrives at 15 05. How late is it?

    1. A35 min
    2. B1 h 25 min
    3. C85 min
    4. D45 min
    ( )
  9. 9

    Work out 1½ × 1⅓.

    1. A11/6
    2. B2
    3. C13/6
    4. D1/2
    ( )
  10. 10

    A population of 5 000 grows by 2% each year. After 2 years it is closest to

    1. A5 202
    2. B5 100
    3. C5 190
    4. D5 200
    ( )

Section B: Structured questions[20 marks]

Answer all questions in the spaces provided. Show all your working.

  1. 11

    Answer this question without a calculator.

    1. (a)

      Add 2⅖ and 1⅔. Write the answer as a mixed number in its lowest terms.

      [3]
    2. (b)

      Write 0.7̇2̇ (that is, 0.727272…) as a fraction in its simplest form.

      [3]
  2. 12

    A gym membership costs 540 per year before any changes.

    1. (a)

      The fee rises by 6%. Find the new fee.

      [2]
    2. (b)

      A student pays a discounted fee of 459. Find this discount as a percentage of the original 540.

      [2]
    3. (c)

      After a rise, a different gym charges 335. This is 8% more than it charged last year. Find last year’s fee. (Extended)

      [3]
  3. 13

    This question is about saving and borrowing.

    1. (a)

      Mei saves 1 200 at 4% simple interest per year. Find the total in the account after 5 years.

      [2]
    2. (b)

      Ravi saves 1 200 at 4% compound interest per year. Find his total after 5 years, correct to the nearest cent.

      [2]
    3. (c)

      A phone costing 720 loses a third of its value in the first year and 15% of the new value in each later year. Find its value after 3 years, correct to 3 significant figures. (Extended)

      [3]

— End of paper —