0580/12 May/Jun 2026, Question 7: Fractions of an Amount
Cambridge IGCSE Mathematics 0580 · Paper 12 (Core) · Non-calculator · 3 marks
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The question, in short
A 4 by 12 grid has some squares shaded; find the shaded fraction in lowest terms, then add shading so that one sixth stays unshaded.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Part (a) · 2 marks
From the grid, state the proportion of squares shaded, reduced to its lowest terms.
- 1Total squares = 12 × 4 = 48
- 2Shaded = 6 + 6 + 5 + 5 = 22
- 322/48 = 11/24
Answer11/24
Part (b) · 1 mark
Add shading to the grid until exactly 1/6 of the rectangle remains unshaded.
- 11/6 of 48 = 8 squares not shaded
- 248 − 8 = 40 shaded
- 3Shade 40 − 22 = 18 more squares
Answer18 more squares shaded, leaving 8 squares not shaded
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Also searched as: 0580/12/M/J/26 · 0580_s26_qp_12 · 0580 s26 12 · question 7.
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