Answers
2:02 Solving Problems
1 6
2 8
6 15
7 9
10 a $512 b $1023
3 $4.10
8 7 1 hours
2
4 8
9 16
5 260
3:01 Pythagoras’ Theorem A (measurements are in mm)
1 30, 40, 50 Yes
2 15, 36, 39 Yes
3 11, 60, 61 Yes
5 9, 40, 41 Yes
6 36, 48, 60 Yes
7 18, 24, 30 Yes
9 24, 32, 40 Yes
10 13, 84, 85 Yes
4 24, 45, 51 Yes
8 10, 24, 26 Yes
3:02 Pythagoras’ Theorem B
1 3⋅61
2 9⋅85
7 20
8 11⋅40
3 13
9 11⋅18
4 12⋅81
10 8⋅49
5 15
11 17
6 9⋅22
12 14⋅87
3:03 Pythagoras’ Theorem
1 4⋅90
2 12
7 11⋅87
8 11⋅83
3 10⋅54
9 71⋅75
4 9
10 7⋅94
5 6
11 8
6 22⋅36
12 20
4:03 Percentage Conversions
1 a 23% b 7% c 30% g 1% m 50%
h n 2 a 0⋅12
b
g 0⋅38
h
m 0⋅03
n
3 a 13%
b
g 72%
h
m 12%
n
57%
31%
e 10% k 81⋅7%
f l 85%
0.7%
c
d
f
j
0⋅4
0⋅15
e 0⋅04
i
92%
25⋅5%
0⋅25
0⋅99
1⋅5
50%
35%
95%
d j k 0⋅55
l
0⋅66
0⋅81
74%
75%
e 70%
f
k 80%
l
i 80% o 78%
0⋅6
0⋅09
o 1⋅02 c 10% i 83% o 44%
d j 4:04 Find a Percentage of a Quantity
1 a 6 out of 100 b 19 out of 100 e 48 out of 100
2 a $15 g $21 m $150
3 a 0⋅18 f 0⋅83
d 30 out of 100
f 25 out of 100
$30
$324
200 t b 0⋅1 g 0⋅45
c 8 kg i 87 L o 39 g
b h n
24 kg
30 kg
$468
d 0⋅5 i 0⋅38 d j p c 0⋅03 h 0⋅71
4:05 Applications of Percentages
1 $15
2 6
3 351
7 $1600
8 36
9 $1170
4:06 Percentages
1 a 30% b 13%
2 a 3% b 60% i 85% q 35%
c 87 out of 100
25%
58%
j 64% r 4%
4 $36
10 1250 mL
e 21 t k $10.80 q 2178 m
f l r
105 t
3080 m
850 t
e 0⋅26 j 0⋅9
5 252
11 $53.60
6 $29
c 55% c 74% k 50% s 18%
NEW SIGNPOST MATHEMATICS 8 WORKSHEET ANSWERS
d 90% l 75% t 5%
e 15% m 12% u 1%
1
f 22% n 11% v 55%
g 86% o 54% w 96%
h 10% p 30% x 42%
© Pearson Education Australia 2004.
This page may be photocopied for classroom use.
TR
home home 4:07 Percentage Change
1 a 0⋅13 b 1⋅03 g 0⋅44 m 0⋅66
h n 2 a $52
b h g $465
3 a $52
b h g 360 kg
c 0⋅02 i 0⋅91 o 0⋅59
350 kg
5400
c 350 kg i $252
1⋅35
0⋅75
$412
155 m
$412
17 g
4:09 Commission
1 a $8
2 a $30
3 a $75
4 $65
8 $1032
d j d j c i 0⋅88
0⋅07
e 0⋅5 k 1⋅2 e $26 k $247
780 L
352 t d $15 j 110 L
c $20
d $6
b $60
c $600
d $105
b $200
c $250
d $750
5 $192
6 $340
9 Tony $12 000, Phil $9000
9, 8, 7, 6 b 12, 24, 36, 48 g −4, 0, 4, 8 g f 1, 2, 3, 4
5:02 Addition and Subtraction
1 a 2x b 4a c 7b j 13n s 7m
2 a 30
37
3 a 12 i −4 i 7 $86
10 $47
3 a 10xy i 10lm q 6h2
7y
4 a 8x i 10x
5 300 kg
10 300
4, 8, 12, 16
7, 12, 17, 22 d 0, −2, −4, −6 i 11, 9, 7, 5
c
d
h
e
7, 8, 9, 10
e
7, 10, 13, 16
i
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l 5ab u 9abc
d 7y m 15h v 18x
e 6x n 7q w 14y
f 5y o 14a2 x −6y
g m p n y 18p
h 8x q 2c2
b 34 j 100
c 15
d 2
e 21
f 50
g 17
h 12
b 4 j 23
c 36
d 4
e 23
f 15
g 31
h 3
d F
e T
f F
g F
h F
j abc r 45u
k 21c s 27x
d 12g l 21t t 14f
e 18q m 18m
f de n 20u
g 8a o 60k
b −6m j 16pq r −10pq
c 5ab k −14q s 40y
d −24c l −24y t 20wx
e 4mn m 30cd
f 12fg n 9t2
g 4x2 o −30m
h −28t p 12ab
d 2a
e 4x
f 7t
g 3p
h 9b
d 10a
e 8x
f 22t
g 20p
h 5b
d l l 4b
e 2f
f 2q
g 3a
h 4c
k 7t c 3f k 6p
d 8y l 4d
e 2m
f w
g 2r
i t r 6xy
h 16y p 16y
h 4n
5:04 Division of Pronumerals
1 a 4m b 6y c 6k
2 a 4m b 6y c 9k
3 a 5m b 5x c 4q i 4, 3, 2, 1
10, 20, 30, 40 c 2, 1, 0, −1 h −5, −1, 3, 7
4 660
9 120
k 15p t f
5:03 Multiplication of Pronumerals
1 a T b T c F
2 a 15a b 16x c 6d i 30w q 10z
0⋅26
0⋅1
132 g
1200 m f $99 l $646
b $12
5:01