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0580/32 May/Jun 2026, Question 20: Composite Perimeter, Area and Volume

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

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The question, in short

A 25 cm by 60 cm metal rectangle has 12 circles of radius 5 cm cut out; calculate the percentage of metal remaining.

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

Solution · 4 marks

  1. 1Rectangle area = 25 × 60 = 1500 cm²
  2. 2Circles = 12 × π × 5² = 300π = 942.48 cm²
  3. 3Remaining = 1500 − 942.48 = 557.52 cm²
  4. 4557.52/1500 × 100 = 37.2%

Answer37.2 or 37.16 to 37.17

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Also searched as: 0580/32/M/J/26 · 0580_s26_qp_32 · 0580 s26 32 · question 20.
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