year 8 maths

644
e
y
f
y
c
x
x
C
7 a (15, 2) b (21, −1) c (13, 6) d (9, 2)
e (11, −2) f (3, −6) g (11, −9) h (19, −10)
i (25, −4) j (−13, 13) k (9, 17) l (−8, −39)
8 a [
7
0 ]
b [
−1
4]
9 a 2.3 km (or 2300 m) b [
2
3]
10 a x = −2, y = −2 b x = 6, y = −4
c x = −3, y = 2
−3
11 a [ 2]
−1
12 a [ 0]
5
b [ 0]
1
b [ 2]
d x = 28, y = −60
−x
c [ −y]
c
c [ b − c]
13 a x ≈ 4.47 b just OK c 80 holes
Exercise 8C
d [
x
y]
1 a anticlockwise, 90° b clockwise, 90°
c anticlockwise, 90° d clockwise, 90°
e anticlockwise, 180° f clockwise, 180°
2 a 270° b 180° c 302° d 64°
3 a 4 b 2 c 5 d 2
e 4 f 2
4 a
C
b
C
6 a (−4, −3) b (−4, −3) c (3, −4) d (−3, 4)
e (−3, 4) f (3, −4) g (4, 3)
7 a A′(4, −4), B′(4, −1), C′(1, −1)
b A′(4, 4), B′(1, 4), C′(1, 1)
c A′(−4, −4), B′(−1, −4), C′(−1, −1)
8 a 90° b 180° c 90°
9 H, I, N, O, S, X and Z
10 Answers may vary. Examples are:
a parallelogram
b regular hexagon
c
11 a 180° b 90°
12 120°
13
ci
120°
100° 100°
cii
c
C
d
C
135°
C
14 a use x = 70° b use x = 40°
e
f
Exercise 8D
5 a
C
C
b
C
C
1 a yes
b i D ii E iii F
c i DE ii EF iii DF
d i ∠E ii ∠F iii ∠D
2 a yes
b i D ii E iii F
c i DE ii EF iii DF
d i ∠E ii ∠F iii ∠D
3 a yes
b i D ii E iii F
c i DE ii EF iii DF
d i ∠E ii ∠F iii ∠D
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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