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Exam style questions - Hodder Plus Home

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<strong>Exam</strong> <strong>questions</strong>: Unit C<br />

2 This is a map of the island of Alderney. The length of<br />

each square represents 1 km.<br />

Work out an estimate of the area of Alderney. [2]<br />

3 A rectangle has an area of 36 cm² and a length<br />

of 9 cm.<br />

Find the width of the rectangle. [2]<br />

4 This is a sketch of a rectangular school playing field.<br />

... and its solution<br />

a Volume of cuboid = length × width × height<br />

= 40 × 20 × 30<br />

= 24 000 cm 3<br />

b Surface area = 2 × top + 2 × side + 2 × front<br />

= 2(20 × 40) + 2 (40 × 30) + 2(20 × 40)<br />

= 1600 + 2400 + 1200<br />

= 5200 cm 2<br />

Now try these exam <strong>questions</strong><br />

1 Calculate the volume of this cuboid. [2]<br />

4.6 m<br />

5.2 m<br />

1.5 m<br />

41.2 m<br />

2 The volume of water in this fish tank is 10 000 cm 3 .<br />

All the sides and base of the tank are rectangles.<br />

79.6 m<br />

Work out the area of the field. [2]<br />

5 Mr Chan has drawn this plan of his lounge floor.<br />

2<br />

2<br />

20 cm<br />

50 cm<br />

d<br />

1 1<br />

4<br />

Calculate the depth of water in the tank. [3]<br />

6<br />

4 Measures<br />

What is the perimeter and area of his lounge floor<br />

All lengths are in metres. [4]<br />

The volume of a cuboid<br />

Here is an exam question ...<br />

a Find the volume of this cuboid. [2]<br />

b Find the total surface area of this cuboid. [2]<br />

20 cm<br />

40 cm<br />

30 cm<br />

Here is an exam question ...<br />

3 m<br />

5 m<br />

The dimensions of this rectangle are accurate to the<br />

nearest metre.<br />

a Give upper and lower bounds for the length, 5 m,<br />

of the rectangle. [2]<br />

b Find an upper bound for the area of the rectangle<br />

in square metres. [2]<br />

c Change your answer to part b into square<br />

centimetres. [2]<br />

48 Revision Notes © <strong>Hodder</strong> Education 2011

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