1. SkillSHEET 1.1 — Percentages
1 a 6 b 6.5 c $320
d 175 students e 12 f $10.60
g 5.28 h 19.5 articles
2 133 passed 3 Approx. 571 enrolments
4 a i 1.10 ii 1.20 iii 1.25
iv 1.07 v 1.125
b i $286 ii $312 iii $325
iv $278.20 v $292.50
5 a i 0.90 ii 0.80 iii 0.75
iv 0.93 v 0.875
b i $324 ii $288 iii $270
iv $334.80 v $315
SkillSHEET 1.2 — Expressing
one number as a percentage
of another
1 79.25% 2 17.33% 3 22.67%
4 49.47% 5 14.29% 6 34.29%
7 38.33% 8 32.82% 9 10.77%
10 12.20% 11 42.86% 12 60.66%
13 46.71% 14 44% 15 62.5%
SkillSHEET 1.3 — Ratio
1 a 192 b 150 c 22.5
2 a 1600 b 0.25 c 18.75
3 11.36 km/L, 52.8 L
4 8.33 km/L, 60 L
5 1200 mL
6 Patsy $252.63, Crystal $147.37
7 $178.29
8 $19
9 a 80 000 m/h b 1333.3 m/min c 22.2 m/s
d 1.25 hours
10 30 km/h
11 a 1224 km/h b 0.50 s, faster
SkillSHEET 2.1 — Finding a
percentage of a quantity
1 a $8.00 b $230 c $63 d $56
e $41.60 f $18.72 g $180 h $240
i $50 j $3.20 k $4.39 l $47.41
2 $12.60
3 $1260
4 $4800
5 $587.50
6 $53.76 billion
SkillSHEET 2.2 — Increase or
decrease by a percentage
1 a $399 b $952 c $140.25 d $768.75
2 a $142.50 b $231.60 c $125 d $74.25
3 $146.88
4 $134.40
5 $322.50
6 $91.11
SkillSHEET 2.3 — Ratio
1 a 192 b 150 c 22.5
2 a 1600 b 0.25 c 18.75
3 11.36 km/L, 52.8 L
4 8.33 km/L, 60 L
5 1200 mL
6 Patsy $252.63, Crystal $147.37
7 $178.29
8 $19
9 a 80 000 m/h b 1333.3 m/min c 22.2 m/s
d 1.25 hours
10 30 km/h
11 a 1224 km/h b 0.50 s, faster
SkillSHEET 3.1 — Finding a
percentage of a quantity
1 a $8.00 b $230 c $63 d $56
e $41.60 f $18.72 g $180 h $240
i $50 j $3.20 k $4.39 l $47.41
2 $12.60
3 $1260
4 $4800
5 $587.50
6 $53.76 billion
SkillSHEET 3.2 — Increase or
decrease by a percentage
1 a $399 b $952 c $140.25 d $768.75
2 a $142.50 b $231.60 c $125 d $74.25
3 $146.88
4 $134.40
5 $322.50
6 $91.11
SkillSHEET 3.3 — Ratio
1 a 192 b 150 c 22.5
2 a 1600 b 0.25 c 18.75
3 11.36 km/L, 52.8 L
4 8.33 km/L, 60 L
5 1200 mL
6 Patsy $252.63, Crystal $147.37
7 $178.29
8 $19
9 a 80 000 m/h b 1333.3 m/min c 22.2 m/s
d 1.25 hours
10 30 km/h
11 a 1224 km/h b 0.50 s, faster
SkillSHEET 4.1 — Rounding
decimal numbers to 2 decimal
places
1 0.32 2 0.26 3 1.72 4 2.56
5 4.31 6 12.20 7 8.47 8 25.03
9 18.33 10 0.17
SkillSHEET 4.2 — Multiplying
decimal numbers by powers of 10
1 25.6 2 76 3 9.8 4 349
5 260 6 7010 7 20 8 5321
9 10 200 10 758 11 25 000 12 35 760
13 3 14 6 15 8 16 400
SkillSHEET 4.3 — Multiplying
decimal numbers by 100
1 56 2 76 3 98 4 49
5 260 6 110 7 20 8 532.1
9 1020 10 75.8 11 50 12 0.06
SkillSHEET 4.4 — Dividing whole
numbers and decimals by 100
1 a 0.28 b 0.6 c 0.34 d 0.02 e 0.15
f 0.07 g 5.6 h 7.21 i 0.03 j 0.75
k 6 l 2.5
2 a 0.092 b 0.523 c 0.005 d 0.0819 e 0.049
f 1.234 g 0.003 h 0.711 i 1.556 j 0.0425
k 0.753 l 1.005
SkillSHEET Answers

2. SkillSHEET 4.5 — Finding the
size of a sector in degrees, given
its size as a fraction of a circle
1 144° 2 120° 3 108° 4 270°
5 150° 6 80° 7 315° 8 96°
9 288° 10 60° 11 230° 12 174°
SkillSHEET 6.1 — Trigonometry
review 1
1 a Opposite b Adjacent c Adjacent
d Opposite e Opposite f Adjacent
g x = adjacent, y = hypotenuse
h x = opposite, y = hypotenuse
i x = opposite, y = hypotenuse
2 a Sine b Tangent c Cosine
d Sine or tangent e Sine f Tangent
g Tangent h Tangent i Tangent
SkillSHEET 6.2 — Trigonometry
review 2
1 a 0.2588 b 0.5592 c 0.9816
d 0.3546 e 0.6076 f 0.9931
g 0.9659 h 0.8290 i 0.1908
j 0.9350 k 0.7942 l 0.1170
m 0.2679 n 0.6745 o 5.1446
p 0.3792 q 0.7650 r 8.4913
2 a 1 b 0 c 0
d −0.654 e −0.760 f −4.165
g 0.906 h −0.588 i 0.176
j 0 k −1 l Undefined
3 a 30° b 18°20′ c 52°53′
d 60° e 60° f 71°40′
g 37°07′ h 30° i 26°34′
j 17°28′ k 38°34′ l 40°54′
m 43°32′ n 72°22′ o 60°49′
p 68°43′
SkillSHEET 7.1 — Conversion of
units — length
1 200 cm 2 5.3 cm 3 610 000 m
4 30 cm 5 5.6 m 6 113 mm
7 12.304 km 8 0.7 mm 9 6.3 m
10 800 m 11 1100 cm 12 4200 mm
13 9 m 14 0.765 km 15 89 mm
16 0.014 683 km
SkillSHEET 7.2 — Reading scales
(How much is each interval
worth?)
1 1 unit 2 1 unit 3 0.1 of a unit
4 0.1 of a unit 5 2 units 6 20 units
7 0.2 of a unit 8 5 units 9 25 units
10 500 units
SkillSHEET 7.3 — Pythagoras’
theorem
1 13.0 2 33.8 3 8.3 4 20.7
5 17.3 6 113.6 7 17.9 8 0.9
SkillSHEET 7.4 — Using
trigonometric ratios
1 a Sine b Cosine c Tangent
d Cosine e Sine
2 a 4.243 cm b 7.247 cm c 10.990 cm
d 3.801 cm e 22.027 cm
3 a 47° b 52° c 56°
d 45° e 67°
SkillSHEET 7.5 — Identifying
sides of a right-angled triangle
with respect to the given angle
1 Opposite 2 Adjacent 3 Adjacent
4 Opposite 5 Opposite 6 Adjacent
7 x = adjacent, y = hypotenuse
8 x = opposite, y = hypotenuse
9 x = opposite, y = hypotenuse
SkillSHEET 7.6 — Finding
trigonometric values and angles
1 a 0.2588 b 0.5592 c 0.9816
d 0.3420 e 0.6018 f 0.9925
g 0.9659 h 0.8290 i 0.1908
j 0.9397 k 0.7986 l 0.1219
m 0.2679 n 0.6745 o 5.1446
p 0.3640 q 0.7536 r 8.1443
2 a 30° b 18.3° c 52.9°
d 60° e 60° f 71.7°
g 37.1° h 30° i 26.6°
j 17.5° k 38.6° l 40.9°
m 43.5° n 72.4° o 60.8°
p 68.7°
SkillSHEET 8.1 — Area and
perimeter of composite figures
1 a 240 m2
b 72 m
2 a 240 cm2
b 68 cm
3 a 526.88 cm2
b 164.29 cm
4 a 76.16 m2
b 36.00 m
5 a 138.62 mm2
b 50.27 mm
6 a 120.56 cm2
b 42.71 cm
SkillSHEET 8.2 — Volume
1 3952 m3
2 452.39 cm3
3 384 mm3
4 100.53 cm3
5 585 cm3
6 1199.07 m3
7 4222.30 cm3
8 5747.02 cm3
9 4755.35 m3
10 105.47 cm3
11 294 mm3
12 33 997.39 cm3
SkillSHEET 8.3 — Conversion of
units — volume
1 0.268 cm3
2 35 000 cm3
3 0.61 mm3
4 0.000 037 569 m3
5 5030 mm3
6 68.005 624 m3
7 3 100 000 000 mm3
8 15 m3
9 0.000 000 086 m3
10 70 400 000 mm3
SkillSHEET 8.4 — Labelling
right-angled triangles
1 a
45°
Opposite
6 cm
Hypotenuse
Adjacent

3. b
c
d
e
f
g
h
i
j
2 a Opposite, Hypotenuse b Adjacent, Hypotenuse
c Opposite, Hypotenuse d Opposite, Hypotenuse
e Adjacent, Hypotenuse f Opposite, Hypotenuse
g Opposite, Hypotenuse h Opposite, Adjacent
i Adjacent, Hypotenuse j Opposite, Adjacent
SkillSHEET 8.5 — Using
trigonometric ratios
1 a Sine b Cosine c Tangent
d Cosine e Sine
2 a 4.243 cm b 7.247 cm c 10.990 cm
d 3.801 cm e 22.027 cm
3 a 47° b 52° c 56°
d 45° e 67°
SkillSHEET 9.1 — Finding the
size of a sector in degrees, given
its size as a fraction of a circle
1 144° 2 120° 3 108° 4 270°
5 150° 6 80° 7 315° 8 96°
9 288° 10 60° 11 230° 12 174°
SkillSHEET 10.1 — Finding a
mean
1 4 2 5.5 or 5 3 4 4 6
5 7.75 or 7 6 7 8
9 10
SkillSHEET 10.2 — Finding the
median
1 5 2 22 3 45 4 53
5 6 6 32.5 7 9.5 8 20
SkillSHEET 11.1 — Measuring
the rise and the run
1 Run = 1, rise = 2 2 Run = 4, rise = 1
3 Run = 3, rise = 5 4 Run = 1, rise = −1
5 Run = 2, rise = −1 6 Run = 1, rise = 2
7 Run = 1, rise = 1 8 Run = 2, rise = 3
9 Run = 1, rise = −3 10 Run = 4, rise = −3
Opposite 22 cm
15 cm
Hypotenuse
Adjacent
θ
47°
Opposite18 cm
Hypotenuse
Adjacent
x
Opposite
10 cm
12 cm
Hypotenuse
Adjacent
θ
73°
x
Opposite
13 cm
Hypotenuse
Adjacent
Hypotenuse
Adjacent
27°
10 cm
x
Opposite
8.3 cm
Opposite
Hypotenuse
Adjacent
5.9 cm
θ
24 mm
37 mm
θ
Opposite
Hypotenuse
Adjacent
x
7 cm
Opposite
Hypotenuse
15°
Adjacent
Hypotenuse
Adjacent
20°
x
Opposite
4 cm
1
2
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7 x+
2
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19 x+
2
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17 x+
3
---------------
6 x+
3
------------
42 x+
3
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4. SkillSHEET 11.2 — Substitution
into a rule
1 a 14 b 2 c 17 d 20 e 20
f 35 g 11 h 16 i 10 j 41
2 a 12 b 0 c 15 d 22 e 12
f 21 g 5 h 12 i 16 j 29
SkillSHEET 11.3 — Averate rate
of change
1 a −81, −167 b 4, 13 c −3, −37
2 a −43 units/s b 3 m/s c −17
3 55 cm/s
4 10.5 m3
/min
5 29
SkillSHEET 11.4 — Using the
regression equation to make
predictions
1 a y = 21 b y = 57
c x = 41 d x = 101.5
2 a y = 42 b y = 658
c x = 7 d x = 11.55
3 a y = 59.5 b y = 102.7
c x = 70.42 d x = 24.58
4 a y = 12.25 b y = 28
c x = 96.19 d x = 89.52
5 a y = 115.5 b y = 197.75
c x = 14.89 d x = 185.11
SkillSHEET 12.1 —
Understanding a deck of playing
cards
1 26 2 4 3 12 4 1 5 4
6 13 7 39 8 26 9 4 10 2
11 2 12 2 13 16 14 6
SkillSHEET 12.2 — Converting
fractions to percentages
1 75% 2 80% 3 37 % 4 40%
5 87 % 6 33 % 7 83 % 8 42 %
9 55 % 10 58 %
SkillSHEET 12.3 — Converting a
fraction to a decimal number
1 0.375 2 0.3125 3 0.875
4 0.3125 5 0.41 6 0.15
7 0.710 937 5 8 0.234 375 9 0.69
10 0.993 75
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