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0580/32 May/Jun 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

Three ratio questions about electricity and gas spending: find one share from a total and ratio, simplify a ratio from two amounts, and write a fraction from a symbolic ratio.

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

Part (a) · 2 marks

Sam's total is $187, with electricity to gas as 8:3. Work out the amount spent on electricity.

  1. 18 + 3 = 11 parts
  2. 21 part = 187 ÷ 11 = 17
  3. 3Electricity = 8 × 17 = $136

Answer136

Part (b) · 1 mark

Jai spends $180 on electricity and $150 on gas. Give electricity : gas in simplest form.

  1. 1180 : 150 = 18 : 15 = 6 : 5

Answer6 : 5

Part (c) · 1 mark

Kat's electricity : gas is E : G. Write the fraction of her spending that is gas, using E and G.

  1. 1Total parts = E + G
  2. 2Fraction on gas = G/(E + G)

AnswerG/(E + G)

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