Exercise 1 — Cambridge IGCSE 0580 Nov 2025 Paper 41 Q14
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Cambridge IGCSE·Mathematics 0580·Extended
Perimeter Area And Volume
Key knowledge — Mensuration
Formulas & equations
Area of triangle = ½ × base × height = ½ab sin CArea of circle = πr²Circumference = 2πr = πdArea of trapezium = ½(a+b)hVolume of prism = cross-section area × lengthVolume of cylinder = πr²hVolume of cone = ⅓πr²hVolume of sphere = (4/3)πr³Volume of pyramid = ⅓ × base area × heightCurved surface area of cone = πrl (l = slant height)Surface area of sphere = 4πr²
Key facts & rules
- For composite shapes: split into simple shapes, calculate each area/volume separately, then add (or subtract for holes).
- Units: 1 m² = 10 000 cm²; 1 m³ = 1 000 000 cm³.
- Slant height of cone: l = √(r² + h²).
IGCSE Mensuration — Perimeter, Area and Volume Practice Extended
7 Cambridge IGCSE 0580 questions on perimeter, area and volume at the Extended tier — each with its full mark scheme. For the Core tier on the same skill, click here.
How to approach perimeter, area and volume — open the study guide
Mensuration on IGCSE 0580
- Triangle: ½ × base × height
- Trapezium: ½(a + b) × h
- Circle: πr² area, 2πr circumference
- Prism: cross-section area × length
- Cylinder: πr²h
- Sphere (Extended): ⁴⁄₃πr³
Practice exercises
Exercise 2 — Cambridge IGCSE 0580 Jun 2025 Paper 21 Q13
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Exercise 3 — Cambridge IGCSE 0580 Jun 2025 Paper 43 Q18
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Exercise 4 — Cambridge IGCSE 0580 Nov 2025 Paper 22 Q23
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Exercise 5 — Cambridge IGCSE 0580 Mar 2025 Paper 42 Q23
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Exercise 6 — Cambridge IGCSE 0580 Nov 2025 Paper 23 Q19
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Exercise 7 — Cambridge IGCSE 0580 Nov 2025 Paper 23 Q29
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