CAIE IGCSE Mathematics Core C5.5 Compound…Shapes

Covered syllabus points

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

[Maximum number: 5]

(a)

In this part, all measurements are in centimetres.

Figure for Question (a) — CAIE IGCSE Mathematics Core

The diagram shows a rectangle, ABCD.

[ 1 ]

(i)

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

[ 1 ]

48
FT their (a)(ii) $\times15$

(b)

Figure for Question (b) — CAIE IGCSE Mathematics Core

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

[ 4 ]

(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 ]

2700
M2 for $18\times30\times65-24\times6\times15\times15$ oe
or $(65-60)\times30\times18$ oe
$\mathrm{cm}^3$

[Maximum number: 3]

Elize, Lily and Marco start a business.

Elize buys a framed picture.

Figure for Question 2 — 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.
$\mathrm{cm}^2$

69.5 or 69.49 to 69.531
M2 for $18^2-9^2\pi$ oe
or M1 for $9^2\pi$ oe

[Maximum number: 3]

The diagram shows a shape made from a square and four congruent isosceles triangles.

Figure for Question 3 — CAIE IGCSE Mathematics Core

Work out the area of this shape.

109.2

$\begin{aligned} & \text { M2 for } 7.8 \times 7.8+4 \times \frac{1}{2} \times 7.8 \times & \frac{14-7.8}{2} \text { oe } \end{aligned}$

or M1 for $7.8 \times 7.8$ oe or $\left[\frac{1}{2} \times\right] 7.8 \times \frac{14-7.8}{2}$ oe

[Maximum number: 4]

Figure for Question 4 — CAIE IGCSE Mathematics Core

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

24 of these cuboids are placed inside the box.

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

2700
M2 for $18\times30\times65-24\times6\times15\times15$ oe
or $(65-60)\times30\times18$ oe
$\mathrm{cm}^3$

All question bank results loaded

CAIE IGCSE Mathematics Core C5.5 Compound Shapes and Parts of Shapes Topic Practice

Covered syllabus points

Question 1

Question (a)

Question (i)

Question (b)

Question (i)

Question 2

Question 3

Question 4