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4024/12 Oct/Nov 2025, Question 9: Dividing in a Given Ratio

Cambridge O Level Mathematics 4024 · Paper 12 (Non-calculator) · Non-calculator · 5 marks

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The question, in short

Sara's bag holds 60 red, 72 blue and 36 green counters; Sunil's bag has yellow and white counters in ratio 5 : 8 with 18 more white than yellow. Find the simplified ratio and the counts.

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Part (a) · 2 marks

Write the ratio red : blue : green for 60, 72 and 36 in simplest form.

  1. 160 : 72 : 36, divide by 12
  2. 2= 5 : 6 : 3

Answer5 : 6 : 3

Part (b) · 3 marks

Given yellow : white = 5 : 8 and 18 more white counters, work out how many of each colour.

  1. 1Difference in parts = 8 − 5 = 3 parts = 18 counters
  2. 21 part = 18 ÷ 3 = 6
  3. 3Yellow = 5 × 6 = 30, White = 8 × 6 = 48

AnswerYellow counters = 30, White counters = 48

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Also searched as: 4024/12/O/N/25 · 4024_w25_qp_12 · 4024 w25 12 · question 9.
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