year 8 maths

190 Chapter 3 Measurement and Pythagoras’ theorem
Multiple-choice questions
1 The perimeter of this rectangle is 20 cm . The unknown value x is:
Chapter review
A 4 B 16 C 5 D 10 E 6
2 A wheel has a diameter of 2 m . Its circumference and area (in that order) are given by:
A π, π 2 B 2π, π C 4π, 4π D 2, 1 E 4, 4
3 The area of this triangle is:
11 m
x cm
A 27.5 m 2 B 55 m C 55 m 2 D 110 m E 16 m 2
4 Using π = 3.14 , the area of a circular oil slick with radius 100 m is:
A 7850 m 2 B 314 m 2 C 31 400 m 2 D 78.5 m 2 E 628 m 2
5 A sector of a circle is removed, as shown. The fraction of the
70°
circle remaining is:
29
7
7
3
A 290 B
C
D
E
36
36
180 4
6 A cube has a volume of 64 cm 3 . The length of each side is:
64
A 32 cm B cm C 16 cm D 8 cm E 4 cm
3
7 The rule for the area of the trapezium shown is:
x
4 cm
5 m
h
y
A
1
2 xh B 1
2 (x + y) C 1
2 xy D πxy2 E
1
h(x + y)
2
8 The volume of a rectangular prism is 48 cm 3 . If its breadth is 4 cm and height 3 cm , its length would be:
A 3 cm B 4 cm C 2 cm D 12 cm E 96 cm
9 A cylinder has radius 7 cm and height 10 cm . Using π = 22 , its volume would be:
7
A 1540 cm 2 B 440 cm 3 C 440 L D 1540 cm 3 E 220 cm 3
10 The rule for Pythagoras’ theorem for this triangle would be:
x
y
z
A a 2 − b 2 = c 2 B x 2 + y 2 = z 2 C z 2 + y 2 = x 2 D x 2 + z 2 = y 2 E y = √x 2 − z 2
Cambridge Maths NSW
Stage 4 Year 8 Second edition
ISBN 978-1-108-46627-1 © Palmer et al. 2018
Cambridge University Press
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