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Chapter 12 Practice Paper: Ratio and scale — question paper

QuizQuipPractice Series
QQ/GCSE-MATHS/CH12

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

Chapter 12 Practice Paper

Ratio and scale

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.
  • Give ratios in their simplest form and include units where they are asked for.
  • 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 12: ratio notation and simplifying, fractions of quantities, sharing in part:part and part:whole ratios, recipes, mixing and best buys, and scale factors with maps and models.

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

    Dividing both parts of 30 : 45 by their highest common factor gives

    1. A3 : 4.5
    2. B2 : 3
    3. C6 : 9
    4. D10 : 15
    ( )
  2. 2

    Change both lengths to centimetres, then write 40 cm : 1 m in lowest terms.

    1. A2 : 5
    2. B40 : 1
    3. C1 : 2.5
    4. D4 : 10
    ( )
  3. 3

    Express 35 minutes as a fraction of an hour.

    1. A35⁄60 unsimplified
    2. B⅓
    3. C7⁄12
    4. D12⁄7
    ( )
  4. 4

    Two dancers share £90 in the ratio 4 : 5. How much does the one with 4 parts receive?

    1. A£50
    2. B£10
    3. C£45
    4. D£40
    ( )
  5. 5

    A 2 : 5 mix uses 300 ml of the second liquid. The first liquid needed is

    1. A120 ml
    2. B750 ml
    3. C60 ml
    4. D150 ml
    ( )
  6. 6

    A map scale of 1 : 10 000 means 1 cm is

    1. A10 m
    2. B1 km
    3. C100 m
    4. D1000 m
    ( )
  7. 7

    A recipe for 6 muffins uses 150 g of sugar. For 10 muffins you need

    1. A90 g
    2. B250 g
    3. C300 g
    4. D210 g
    ( )
  8. 8

    Which is better value: 300 g for £4.50 or 500 g for £7.00?

    1. Athe 300 g pack
    2. Bboth equal
    3. Cthe cheaper pack
    4. Dthe 500 g pack
    ( )
  9. 9

    The ratio of adults to children at a club is 3 : 5. What fraction are children?

    1. A5⁄8
    2. B5⁄3
    3. C3⁄5
    4. D3⁄8
    ( )
  10. 10

    In the ratio 7 : 3, the difference between the shares is 24. The total amount is

    1. A96
    2. B24
    3. C60
    4. D72
    ( )

Section B: Structured questions[20 marks]

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

  1. 11

    Ratio basics.

    1. (a)

      Simplify 64 : 96.

      [2]
    2. (b)

      Write 1.5 kg : 600 g in its simplest form.

      [2]
  2. 12

    Sharing in context.

    1. (a)

      Prize money of £540 is shared in the ratio 1st : 2nd : 3rd = 4 : 3 : 2. Find each prize.

      [3]
    2. (b)

      Write the 2nd prize as a fraction of the total prize fund.

      [1]
  3. 13

    Recipes and limits.

    1. (a)

      A smoothie for 2 uses 250 ml of milk. How much milk is needed for 7 smoothies?

      [2]
    2. (b)

      With 1 litre (1000 ml) of milk, how many whole smoothies can be made?

      [2]
  4. 14

    Maps and models.

    1. (a)

      A map has scale 1 : 40 000. Two villages are 7.5 cm apart on the map. Find the real distance in kilometres.

      [3]
    2. (b)

      A 1 : 50 scale model of the same path would be how many centimetres long?

      [1]
  5. 15

    Ratio change. (Higher)

    1. (a)

      Red and yellow counters are in the ratio 5 : 8. There are 56 yellow counters. How many red counters are there?

      [2]
    2. (b)

      After twenty more red counters join the box, give the new ratio red : yellow in its lowest terms.

      [2]

— End of paper —