EduNinja

[Maximum number: 3]

Elize, Lily and Marco start a business.

Elize buys a framed picture.

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: 5]

(a)

In this part, all measurements are in centimetres.

The diagram shows a rectangle, ABCD.

[ 1 ]

(i)

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

[ 1 ]

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

(b)

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]

The diagram shows the plan of part of Rachel's garden.

Calculate the area.

112.17
M2 for $14.6\times10.9-(14.6-8.5)(10.9-3.2)$ oe.
OR M1 for a correct method to find one of the six areas, or B1 for 7.7 or 6.1 soi.

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