0580/13 May/Jun 2026, Question 11: Addition and Subtraction of Fractions
Cambridge IGCSE Mathematics 0580 · Paper 13 (Core) · Non-calculator · 5 marks
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The question, in short
A shape is coloured blue over 2/5 of its area and green over 3/7, with the remainder red. Work out the red fraction and, given 12 cm² is green, the total area.
Summarised in our own words. Use the official paper for the exact wording and any diagrams.
Part (a) · 3 marks
Work out what fraction of the shape's area is coloured red.
- 12/5 + 3/7 = 14/35 + 15/35 = 29/35
- 2Red = 1 − 29/35 = 6/35
Answer6/35
Part (b) · 2 marks
Using 12 cm² as the green area, work out the shape's total area.
- 13/7 of the area = 12 cm²
- 21/7 of the area = 4 cm²
- 3Total = 7 × 4 = 28 cm²
Answer28
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