CAIE IGCSE Mathematics Core 5 Mensuration Topic Practice

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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

Question 1

[Maximum number: 1]

Change 62000 millimetres into kilometres.
km\mathrm{km}

Question 2

[Maximum number: 4]

The diagram shows a shape made from two different parallelograms. The shape has a total area of 210 cm2210 \mathrm{~cm}^{2}.

NOT TO SCALE

NOT TO SCALE

Find the value of x.

Question 3

[Maximum number: 5]
NOT TO SCALE

NOT TO SCALE

Question (a)

(a)

The area of the circle is 43.5 cm243.5 \mathrm{~cm}^{2}.

Calculate the radius of the circle. cm [2]

[ 2 ]

Question (b)

(b)

The diameter of a different circle is 6.4 cm .

Calculate the circumference of this circle.
Give your answer in millimetres.

[ 3 ]

Question 4

[Maximum number: 9]

Question (a)

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

The diagram shows the net of a cuboid.

[ 6 ]

Question (i)

(i)

Find the volume of the cuboid. cm3\mathrm{cm}^{3} [2]

[ 2 ]

Question (ii)

(ii)

Show that the total surface area of the cuboid is 148 cm2148 \mathrm{~cm}^{2}.

[ 2 ]

Question (iii)

(iii)

Calculate the total length of the edges of the cuboid.
cm [2]

[ 2 ]

Question (b)

(b)

In this part, all measurements are in centimetres.

Figure for Question (b) — CAIE IGCSE Mathematics Core

NOT TO SCALE

This is the net of a cuboid with edges of length x, y and (x-1).
Find an expression, in terms of x and y, for the perimeter of the net.
Give your answer in its simplest form.

[ 3 ]
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