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P6 Area & Perimeter Questions (with Worked Solutions)
Area and perimeter of composite figures, triangles, and circles in P6 prelim papers. Every question is from a real Singapore P6 preliminary exam, marked instantly, with step-by-step solutions.
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Area & Perimeter questions
Example Area & Perimeter questions
A few real area & perimeter questions from P6 prelim papers. The full set — with marking and progress tracking — is inside SG Maths Exam.
St Nicholas 2025 · Paper 2 · Q17(b) · 3 marks
For the tiled footpath, (b) Find the area of the footpath not covered by tiles.
Worked solution
- There are $20 \times 2 = 40$ circular tiles. Each circular tile sits in a $42\text{ cm}$ square of area $42 \times 42 = 1764\text{ cm}^2$, while the circle has area $\frac{22}{7} \times 21 \times 21 = 1386\text{ cm}^2$. Uncovered area per circle $= 1764 - 1386 = 378\text{ cm}^2$. Total uncovered area $= 378 \times 40 = 15120\text{ cm}^2$.
Nanyang 2025 · Paper 2 · Q17(b) · 3 marks
Find the total area of the shaded parts. (Take $\pi = 3.14$.)
Worked solution
- Using the big circle radius $10$ cm, the small circles and squares, the shaded regions are found by subtracting the unshaded areas from the circle areas. Combining all shaded parts gives a total shaded area of $299.5\text{ cm}^2$.
Tao Nan 2025 · Paper 1 Booklet B · Q18 · 1 mark
Find the perimeter of a quarter circle of radius 7 cm. (Take $\pi = \frac{22}{7}$)
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