Page 151 - Cambridge+Checkpoint+Mathematics+Coursebook+9

End-of-unit review

End-of-unit review

1 Convert:
a 5 m to cm b 40 000 cm to m c 9 cm to mm 2
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d 820 mm to cm e 9 m to cm f 24 500 000 cm to m 3
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g 7 cm to mm h 270 mm to cm i 80 cm into ml
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j 450 ml to cm k 9000 cm to litres l 3.6 litres to cm .
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2 The shape of Greg’s study is a rectangle 575 cm long by 325 cm wide.
a Work out the area of Greg’s study in square metres.
Show how to use estimation to check your answer.
Flooring costs $52 per square metre.
It is only sold in whole numbers of square metres.
b How much will it cost Greg to buy flooring for his study?
Show how to use inverse operations to check your answer.
3 Copy and complete these statements.
a 3 ha = m b 4.6 ha = m c 0.8 ha = m 2
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d 20 000 m = ha e 94 000 m = ha f 5600 m = ha
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4 The radius of a circle is 7 cm.
Work out: a the area b the circumference of the circle.
Give your answers correct to one decimal place. Use the ‘π’ button on your calculator.
5 The circumference of a circle is 21.4 cm. Work out the diameter of the circle.
Give your answer correct to the nearest whole number. Use the ‘π’ button on your calculator.
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6 The area of a circle is 36.3 cm . Work out the radius of the circle.
Give your answer correct to one decimal place. Use the ‘π’ button on your calculator.
7 A compound shape is made from a rectangle and a semicircle.
Work out:
a the area b the perimeter of the compound shape.
Give your answers correct to one decimal place. 8 cm
Use the ‘π’ button on your calculator.
8 Work out the volume of each prism. 12 cm

a b c 10 cm

8 cm 3 cm 12 cm 6 cm 18.5 cm
24 cm 2 5 cm 8 cm

9 Work out the surface area of the prisms in parts b and c of question 8. 12 mm
10 Work out the volume and surface area of this cylinder. 8 mm
Give your answers to the nearest whole number.
11 A cylinder has volume 1000 cm and height 11.8 cm.
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What is the radius of the cylinder? Give your answer correct to one decimal place.

150 15 Area, perimeter and volume