CAIE IGCSE Mathematics Core C5.5 Compound Shapes & Parts of Shapes Question Bank

Practise decomposing compound shapes and solids to calculate perimeter, area, surface area and volume from familiar components.

Syllabus
2028–2030
Topic
C5.5
Level
Core

Exam points

  • split compound figures into rectangles, triangles, circles or standard solids
  • add joined parts or subtract removed regions when calculating area or volume
  • exclude hidden joining faces when finding the exposed surface area of a compound solid

Covered syllabus points

C5.5.1 Carry out calculations and solve problems involving perimeters andC5.5.2 Carry out calculations and solve problems involving surface areas and

C5.5 Compound shapes and parts of shapes question 1

[Maximum number: 3]

Elize, Lily and Marco start a business.

Elize buys a framed picture.

Figure for Question C5.5 Compound shapes and parts of shapes question 1 — CAIE IGCSE Mathematics Core

The picture is a circle with diameter 18 cm.
The frame is a square of side length 18 cm.
Calculate the shaded area.
cm2\mathrm{cm}^2

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