0580/42 May/Jun 2026, Question 10: Percentage problems
Cambridge IGCSE Mathematics 0580 · Paper 42 (Extended) · Calculator · 4 marks
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The question, in short
Of a coin collection, 10% are gold. Of the coins left, 25% are silver and the remaining 54 are copper. Find the number of silver coins and the total number of coins.
Summarised in our own words. Use the official paper for the exact wording and any diagrams.
Part (a) · 2 marks
How many coins are silver?
- 1Copper is 75% of the remaining coins
- 225% of remaining = 54 ÷ 75 × 25
- 3= 18
Answer18
Part (b) · 2 marks
How many coins are there altogether?
- 1Copper = 0.9 × 0.75 = 0.675 of all coins
- 20.675n = 54
- 3n = 54 ÷ 0.675 = 80
Answer80
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