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LearnCambridge4024Current syllabusPaper 1 · Non-calculatorMensuration

Paper 1 · Module

Mensuration

4 subtopics≈ 125 min in total

Start the module: Perimeter, area and units Open graphing calculator

Perimeter, area and units
Perimeter is the distance around a shape; area is the space inside it. Five area formulas cover almost every straight-sided shape, and compound shapes are just these pieces added or subtracted. When converting area units, square the length conversion.
≈ 30 min
Circles, arcs and sectors
Circumference $2\pi r$ and area $\pi r^2$ . A sector is a fraction $\dfrac{\theta}{360}$ of the circle, so its arc and area are that fraction of the circumference and area. Its perimeter is the arc plus two radii.
≈ 30 min
Prisms and cylinders
A prism has the same cross-section all the way through, so its volume is cross-section area $\times$ length. A cylinder is a prism with a circular cross-section. Surface area is the total area of every face: unfold the solid into a net and add.
≈ 30 min
Pyramids, cones and spheres
A pyramid or cone holds exactly one third of the prism with the same base and height. A sphere has volume $\tfrac43\pi r^3$ and surface area $4\pi r^2$ . Composite solids are built from these pieces: add the volumes, and count only the outside surfaces.
≈ 35 min