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Ratio practice questions with answers

Foundation and Higher · Grade 3

A second set of ratio questions for GCSE Maths. They are different from the ones on the topic page, so work through both. Try each question, then open the answer to check your working.

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Question 1 Easy

The ratio is 2:3. What fraction of the whole is the first share?

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Answer: 2/5

  1. The whole is 5 parts.
  2. The first share is 2 of those parts.
  • Method (1): The whole is 5 parts.
  • Accuracy (1): Answer 2/5

Question 2 Easy

Red and blue are in the ratio 2:3. There are 8 red counters. How many are blue?

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Answer: 12

  1. 2 parts are 8 counters.
  2. 3 parts are 12 counters.
  • Method (1): 2 parts are 8 counters.
  • Accuracy (1): Answer 12

Question 3 Medium

A:B = 2:3 and B:C = 4:5. Write A:C in its simplest whole-number form.

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Answer: 8:15

  1. Match the B parts.
  2. A:C = 8:15.
  • Method (1): Match the B parts.
  • Accuracy (1): Answer 8:15

Question 4 Medium

An amount is shared in the ratio 2:3. What fraction of the total is the larger share?

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Answer: 3/5

  1. The larger share is 3 parts.
  2. The whole is 5 parts.
  • Method (1): The larger share is 3 parts.
  • Accuracy (1): Answer 3/5

Question 5 Hard

£72 is shared in the ratio 2:3:7. The middle share is given away. How much is left?

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Answer: 54

  1. One part is £6.
  2. 9 parts stay, which is £54.
  • Method (1): One part is £6.
  • Accuracy (1): Answer 54

Question 6 Hard

Cordial and water are mixed in the ratio 1:4. A jug holds 400 ml of the mix. Another 150 ml of water is added. How much water is in the jug now?

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Answer: 470

  1. Water was 4/5 of 400 ml.
  2. Then add 150 ml.
  • Method (1): Water was 4/5 of 400 ml.
  • Accuracy (1): Answer 470

Exam-style question

A longer question with marks, in the style of a written paper. This is a Yumio practice question, not a past paper question.

Exam-style question 12 marks

Amy:Ben = 1:2 and Ben:Caz = 2:3. Together they share £90. Give Amy's, Ben's and Caz's shares in that order.

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Answer: 15, 30, 45

  1. The linked ratio is 1:2:3.
  2. There are 6 parts in £90.
  • Method (1): The linked ratio is 1:2:3.
  • Accuracy (1): Answer 15, 30, 45

Quick checks

Short one-step questions. Pick an option before you open the answer.

Check 1

Share £45 in the ratio 2:3.

  1. £18 and £27
  2. £27 and £18
  3. £22.5 and £22.5
Show answer

£18 and £27 The result is £18 and £27.

Check 2

Share £50 in the ratio 1:4.

  1. £10 and £40
  2. £40 and £10
  3. £25 and £25
Show answer

£10 and £40 The result is £10 and £40.

Check 3

Share £88 in the ratio 3:5.

  1. £33 and £55
  2. £55 and £33
  3. £44 and £44
Show answer

£33 and £55 The result is £33 and £55.

Check 4

Share £48 in the ratio 1:2:3.

  1. £8, £16 and £24
  2. £24, £16 and £8
  3. £16, £8 and £24
Show answer

£8, £16 and £24 The result is £8, £16 and £24.

Check 5

Share £35 in the ratio 3:4.

  1. £15 and £20
  2. £20 and £15
  3. £17.5 and £17.5
Show answer

£15 and £20 The result is £15 and £20.

Check 6

Share £18 in the ratio 1:2.

  1. £6 and £12
  2. £12 and £6
  3. £9 and £9
Show answer

£6 and £12 The result is £6 and £12.

Check 7

Share £63 in the ratio 4:5.

  1. £28 and £35
  2. £35 and £28
  3. £31.5 and £31.5
Show answer

£28 and £35 The result is £28 and £35.

Check 8

Share £72 in the ratio 1:3:4.

  1. £9, £27 and £36
  2. £36, £27 and £9
  3. £27, £9 and £36
Show answer

£9, £27 and £36 The result is £9, £27 and £36.

Check 9

Share £81 in the ratio 2:7.

  1. £18 and £63
  2. £63 and £18
  3. £40.5 and £40.5
Show answer

£18 and £63 The result is £18 and £63.

Check 10

Share £120 in the ratio 5:7.

  1. £50 and £70
  2. £70 and £50
  3. £60 and £60
Show answer

£50 and £70 The result is £50 and £70.

Check 11

Share £60 in the ratio 2:3.

  1. £24 and £36
  2. £36 and £24
  3. £30 and £30
Show answer

£24 and £36 The result is £24 and £36.

Check 12

Share £100 in the ratio 2:3:5.

  1. £20, £30 and £50
  2. £50, £30 and £20
  3. £30, £20 and £50
Show answer

£20, £30 and £50 The result is £20, £30 and £50.

Check 13

Share £48 in the ratio 3:5.

  1. £18 and £30
  2. £30 and £18
  3. £24 and £24
Show answer

£18 and £30 The result is £18 and £30.

Check 14

Share £49 in the ratio 2:5.

  1. £14 and £35
  2. £35 and £14
  3. £24.5 and £24.5
Show answer

£14 and £35 The result is £14 and £35.

Check 15

Share £56 in the ratio 3:4.

  1. £24 and £32
  2. £32 and £24
  3. £28 and £28
Show answer

£24 and £32 The result is £24 and £32.

Keep going with Ratio

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