# Orders of Magnitude and New Signpost Mathematics Essay

Submitted By troll123456789
Words: 2824
Pages: 12

Worksheets

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%

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

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

TR
TR

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…