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4024/11 May/Jun 2020, Question 9: Ratios in Simplest Form

Cambridge O Level Mathematics 4024 · Paper 11 (Non-calculator) · Non-calculator · 4 marks

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The question, in short

Simplify a mass ratio after making units consistent, then use a members ratio with a given difference to find the club total.

Summarised in our own words. Use the official paper for the exact wording and any diagrams.

Part (a) · 2 marks

Express 75 g to 3 kg as a ratio reduced to lowest terms.

  1. 13 kg = 3000 g
  2. 275 : 3000
  3. 3= 1 : 40 (dividing by 75)

Answer1 : 40

Part (b) · 2 marks

Juniors to seniors are 7 to 10, with 18 more seniors; work out how many members there are altogether.

  1. 1Difference = 10 − 7 = 3 parts = 18, so 1 part = 6
  2. 2Juniors = 7 × 6 = 42, seniors = 10 × 6 = 60
  3. 3Total = 42 + 60 = 102

Answer102

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