Cambridge International Mathematics

254 Mensuration (solids and containers) (Chapter 11)

Review set 11B

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1 Convert:

a 350 mg to g b 250 kg to t c 16 : 8 kg to g

d 150 ml to litres e 260 litres to cl f 0 : 8 litres to ml

2 Find a formula for the surface areaA, in terms ofx, of the following solids:

abc

3aFind the radius of a sphere with surface area 200 cm^2.

b

4 A teapot contains 1 : 3 litres of tea. 4 cups measuring 270 ml each are poured from the teapot. How

much tea remains in the teapot?

5 Find the volume of the following, correct to 2 decimal places:

abc

6 A sphere has radius 11 : 4 cm and density 5 : 4 g per cm^3. Calculate the mass of the sphere in kg.

7 Gavin uses a cylindrical bucket to water his plants. The bucket is 30 cm wide and 30 cm high. If

Gavin fills his bucket 8 times to water his plants, how much water does he use?

8 Calculate the volume of wood in the

model train tunnel illustrated.

9 A clock tower has the dimensions shown. On each side of the tower

there is a clock which is 2 m in diameter. The highest point of the

a Find the height of the roof pyramid.

b Find the volume of the tower.

c The whole tower, excluding the clock faces, is to be painted. Find,

correct to 3 significant figures, the surface area to be painted.

2 x

x

2 x

x

12 cm

3cm 18 cm

15 cm

15 cm

25 cm

10 cm

6cm

1cm

20 m

6m

tower is 24 m above ground level.

3 x

x

x

A solid cone has a base radius of 2 m and a surface area of 10 ¼m^2. Find the slant length of

the cone.

IGCSE01

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Y:\HAESE\IGCSE01\IG01_11\254IGCSE01_11.CDR Tuesday, 14 October 2008 3:00:59 PM PETER