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%

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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…