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0580/32 Feb/Mar 2025, Question 16: Dividing in a Given Ratio

Cambridge IGCSE Mathematics 0580 · Paper 32 (Core) · Calculator · 4 marks

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The question, in short

Share $480 in the ratio 2 : 3 : 7 and find the largest share, then simplify two ratios: 98 : 147 and 2⁴⁵⁰ : 2⁴⁵².

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Part (a) · 2 marks

Calculate the largest share when $480 is divided in the ratio 2 : 3 : 7.

  1. 12 + 3 + 7 = 12 parts, one part = 480 ÷ 12 = 40
  2. 2Largest share = 7 × 40 = $280

Answer280

Part (bi) · 1 mark

Simplify the ratio 98 : 147 to its simplest form.

  1. 198 = 2 × 49 and 147 = 3 × 49
  2. 298 : 147 = 2 : 3

Answer2 : 3

Part (bii) · 1 mark

Simplify the ratio 2⁴⁵⁰ : 2⁴⁵² to its simplest form.

  1. 12⁴⁵² = 2⁴⁵⁰ × 2² = 2⁴⁵⁰ × 4
  2. 22⁴⁵⁰ : 2⁴⁵² = 1 : 4

Answer1 : 4

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