ConceptConceptDocsDocuments

CAIE IGCSE Mathematics 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
Course
Mathematics 0580
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

C5.5 Compound shapes and parts of shapes question 2

[Maximum number: 5]

Question (a)

(a)

In this part, all measurements are in centimetres.

Figure for Question (a) — CAIE IGCSE Mathematics Core

The diagram shows a rectangle, ABCD.

[ 1 ]

Question (i)

(i)

Find the total shaded area.
cm2\mathrm{cm}^2

[ 1 ]

Question (b)

(b)
Figure for Question (b) — CAIE IGCSE Mathematics Core
Figure for Question (b) — CAIE IGCSE Mathematics Core

The diagram shows an open rectangular box and a solid cuboid.

[ 4 ]

Question (i)

(i)

24 of these cuboids are placed inside the box.

Calculate the volume of empty space in the box.
Give the units of your answer.

[ 4 ]
All question bank results loaded