Mensuration — IGCSE Mathematics (0980) questions by topic
Finding an arc length from a sector's angle and radius, calculating a cone's mass from its density and volume, working out a triangle's area on a grid, and combining a hemisphere with a cylinder define this mensuration page's 7 questions, drawn from 2025 papers and worth between 2 and 11 marks. Find, work out, calculate, describe and draw test formula recall alongside careful substitution.
Because compound-shape questions depend on correctly identifying which formula applies to each part, submit your working for instant marking so a wrong radius or an omitted step in a combined solid is flagged before it affects the final answer.
May–June 2025, Paper 12
The diagram shows a point P and three triangles, A, B and C, on a 1 cm^2 grid. Find the area of triangle B.
Answer this question and get it marked →The diagram shows a shape made from two different semicircles, with the same centre. A large semicircle of radius 7 cm sits below a horizontal diameter line, and a small…
Answer this question and get it marked →May–June 2025, Paper 22
The diagram shows a sector of a circle, centre O (not to scale). The two straight edges (radii) each have length 18 cm and the angle between them at O is 45 degrees. The length of…
Answer this question and get it marked →The diagram (not to scale) shows a solid made by joining a hemisphere to a cylinder. The hemisphere sits on top of the cylinder. The radius of both the hemisphere and the cylinder…
Answer this question and get it marked →May–June 2025, Paper 32
A sphere has radius 8 cm. A cone has radius 8 cm and height h. The sphere and the cone have the same volume. Work out the height, h, of the cone.
Answer this question and get it marked →May–June 2025, Paper 42
ABCD is a trapezium (NOT TO SCALE). DC is the top parallel side of length 10 cm, and AB is the bottom parallel side of length 12 cm. The perpendicular height between the parallel…
Answer this question and get it marked →A solid wooden cone has base radius 4 cm and height 12 cm. The density of the wood is 0.74 g/cm^3. Calculate the mass of the cone. [Density = Mass / Volume]
Answer this question and get it marked →Other IGCSE Mathematics topics
- Number (36)
- Algebra and graphs (21)
- Geometry (14)