CAIE IGCSE Mathematics Core Mensuration Question Bank

Practise measurement units, perimeter, area, circles, sectors, surface area and volume across two- and three-dimensional mensuration problems.

Syllabus
2028–2030
Topic
5
Level
Core

Covered syllabus points

C5.1 Units of measureC5.2 Area and perimeterC5.3 Circles, arcs and sectorsC5.4 Surface area and volumeC5.5 Compound shapes and parts of shapes

5. Mensuration question 1

[Maximum number: 3]

Question (a)

(a)

Leo keeps his toy vehicles on a shelf.

[ 3 ]

Question (i)

(i)

The shelf is in the shape of a right-angled triangle.

The area of the shelf is 0.3 m20.3 \mathrm{~m}^{2}.
Calculate the value of y.

y=
[ 2 ]

Question (ii)

(ii)

The shelf is 1.35 metres from the floor.

Change 1.35 metres into centimetres.

[ 1 ]

5. Mensuration question 2

[Maximum number: 2]

The diagram shows a circle, centre O, radius 11 cm. C, F, G and H are points on the circumference of the circle.
The line AD touches the circle at C and is parallel to the line EG. B is a point on AD and angle ABO=140∘A B O=140^{\circ}.

Question (a)

(a)

Find, in terms of π\pi, the circumference of the circle.

___ cm

[ 2 ]

Question (b)

(b)

Calculate the length of the minor arc FH.

___ cm

5. Mensuration question 3

[Maximum number: 3]

Miguel works in an office.

Miguel has a closed box of pens.

The box is in the shape of a cuboid measuring 20 cm by 12 cm by 7 cm .
Calculate the surface area of the box.
cm2\mathrm{cm}^{2}

5. Mensuration question 4

[Maximum number: 3]

Elize, Lily and Marco start a business.

Elize buys a framed picture.

Figure for Question 5. Mensuration question 4 — 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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