Idea Transcript
Cambridge Checkpoint Mathematics Revision Guide For the Cambridge Secondary 1 Test Answers
1 Place value, ordering and rounding Check your understanding 1.1
Check your understanding 1.4
1 623 < 652
1 18.6
2 304.8
2 3108 < 3112
3 8.07
4 28.222
3 0.235 > 0.215
5 61.46 6 72.20
4 9740 < 12 350
7 3.142
8 1.4
5 13.226 > 12.895
9 0.07
10 7.071
Check your understanding 1.2
Check your understanding 1.5
1 3620
2 1370
1 3.1
2 156.1
3 122 000
4 140
3 166
4 154 300
5 180 6 60 000
5 16 300 6 900
7 740 000
8 3000
7 2520 8 0.0032
9 540
10 13 000
9 0.010
10 1
Check your understanding 1.3
Check your understanding 1.6
1 2530
1 200 × 40 = 8000
2 4800
2 50 × 20 = 1000
3 90
3 2000 ÷ 50 = 40
4 260
4 600 ÷ 30 = 20
5 300
5 70 × 20 = 1400 g
6 6820
6 500 ÷ 20 = 25
7 12 400 people.
7 60 ÷ 4 = 15
8 $123 000
8 40 000 ÷ 200 = 200 9 $600 000 ÷ 30 = $20 000 10 20 × 10 = 200
Cambridge Checkpoint Mathematics Revision Guide 1 © Hodder & Stoughton Ltd 2013
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l ANSWERS
Spotlight on the test (page 5) 1 a) 7325 > 7236 b) 20 × 1000 = 200 × 100 c) 29 × 59 < 31 × 61 d) 40 000 ÷ 100 > 400 ÷ 10
4 a) 15.604
b) 15.6
5 a) 300 and 20 b) 300 × 20 = 6000 6 a) 365 days in a year, 24 hours in a day, 60 minutes in an hour, 60 seconds in a minute b) 8000 c) 4000 d) 30 million
2 10 000 3 9285
2 Integers, powers and roots Check your understanding 2.1
Check your understanding 2.4
1 a) (+5) = 5
b) (+7) = 7
2 a) (–7) = –7
b) (–4) = –4 c) (–2) = –2
3 a) (+4) = +4
b) (–2) = –2
c) (–7) = –7
1 a) 32 × 5 b) 22 × 11 c) 23 × 32 d) 22 × 32 × 5
4 a) (–10) = –10 b) (–2) = –2
c) (–1) = –1
2 14
c) (+1) = 1
5 a) (–0.4) = –0.4
b) (–1.6) = –1.6 c) 0
3 315
6 a) (+0.7) = 0.7 c) (+4.1) = 4.1
b) (–4.0) = –4.0
4 a) 120 = 23 × 3 × 5 and 144 = 24 × 32 b) 24
7 a) (+14.4) = 14.4
b) 0 c) (–3.9) = –3.9
5 a) 75 = 3 × 52 and 120 = 23 × 3 × 5 b) 600
8 (–4), (–3), (+6) 9 (–10), (–5), (–1), (+2)
Check your understanding 2.5
10 (–10), (–8), (–5), (+1)
Check your understanding 2.2 1 a) 12, 15
b) 10, 15
c) 11, 13, 17
1 a) 121
b) 216
c) 12
d) 4
2 a) 81
b) 512
c) 17
d) 9
3 a) 169
b) 125
c) 19
d) 3
2 5
4 343
3 6
5 102 = 100 and 112 = 121. 105 does lie between these values, so its square root lies between 10 and 11.
4 a) 37 c) No – 51 is 3 × 17
b) 41, 43, 47 d) 8
6 52 = 25, 62 = 36, 72 = 49 and 36 < 43 < 49 so Anton is right.
Check your understanding 2.3 1 a) –14
b) –12
c) 18
d) 18
2 a) –5
b) –4
c) 2
d) –15
3 a) –48
b) –4
c) 36
d) 10
2
Cambridge Checkpoint Mathematics Revision Guide 1 © Hodder & Stoughton Ltd 2013
ANSWERS l
Check your understanding 2.6
Spotlight on the test (page 12)
1 39
2 65
1 a) 24
3 43
4 22
2 260 ºC
5 512
6 4 –1
3 25 July
7 812
8 56
4 a) Wednesday
9 45
10 101 or just 10
11 65
12 73
13 39
14 1
5 a) 72 = 49, 82 = 64 and 49 < 60 < 64 b) 73 = 343 and 83 = 512; 250 does not lie between these values.
15 3
16 –3
Check your understanding 2.7 1 34
2 64
3 11
4 2
6 a) a = 4
b) 20
c) 23
b) 6 ºC
b) b = –3
c) c = 0
b) 28
c) 1
7 41 8 a) 512 9 46 10 12
5 77 6 29 7 15
8 3
9 8
10 4
3 Expressions, equations and formulae Check your understanding 3.1
Check your understanding 3.3
1 expression
2 formula
1 2x + 8
2 3x + 6
3 equation
4 expression
3 10x – 5
4 7a + 35
5 formula
6 expression
5 20b – 30
6 12x + 8y
7 formula
8 expression
7 2x – 6y
8 8x + 12y
9 equation
10 formula
9 18a – 27b
10 20b + 50
11 9x + 14
12 5x + 4
13 44x + 17
14 17y – 5
15 3x + 3y
16 2x + 6
17 9m
18 4n – 5
19 16k + 5
20 p + 3
Check your understanding 3.2 1 x 9
2 y4
3 z 6
4 x 7
5 y4 6 1 7 y3 8 z9 9 m–2
10 z2
Cambridge Checkpoint Mathematics Revision Guide 1 © Hodder & Stoughton Ltd 2013
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l ANSWERS
Check your understanding 3.4 1 7(x + 3)
Check your understanding 3.6 1
2 2(2y + 5)
5 8
5x 2 8
3 5(z – 4) 4 3(3x + 5)
7 3 20
5 5(3y – 5) 6 x(x + 7) 7 3y(y – 3)
7x 4 20
8 5y(2y + 5)
5
5y 21
6
a 5
9 3z(4z – 5) 10 2x(2y – 5)
Check your understanding 3.5 V ac
1 b = 2 m =
y–c x
17b 7 30 7c 8 20 9
5x + 12 8
10
5y + 22 8
3 r =
C 2p
11
4 T =
PV R
12x – 5 20
12
5 h =
√ W8
11 2x
––
Spotlight on the test (page 17)
6 n = u – 2a
1 a) expression b) formula c) equation
u–n 7 a = 2 8 a = 9 r =
F m
2 4x 2 + 20x
√p
4 2m(3m + 4n)
–A–
3 2x 2 – 5x – 3
10 u = √ v2 – 2as
5 a) y 7 6 s =
v2 – u2 2a
7 x =
y–9 3
8 a) B and E
4
9
7x 8
10
3x + 1 10
b) x5
c) z8
b) A, C and D
Cambridge Checkpoint Mathematics Revision Guide 1 © Hodder & Stoughton Ltd 2013
ANSWERS l
4 Shapes, congruency and geometric reasoning Check your understanding 4.1
Check your understanding 4.3
1 Congruent – ASA
Interior/exterior angles in polygons
2 Not congruent
1 a) 6
3 Congruent – SAS
2 36°
4 Congruent – RHS
3 140°
5 Annie is wrong – the shapes are similar but not congruent.
4 24 sides
Check your understanding 4.2 1 Two lines of symmetry, and rotation symmetry of order 2.
b) 60°
c) 120°
5 45 sides
Spotlight on the test (page 21) 1 Congruent – SSS
2 No lines of symmetry, and rotation symmetry of order 2.
2 Congruent – RHS
3 One line of symmetry, no rotation symmetry.
4
3 Not congruent
4 No lines of symmetry, and rotation symmetry of order 2. 5 One line of symmetry, no rotation symmetry. 6 No lines of symmetry, and rotation symmetry of order 2.
5 a) Order 4 b) No reflection symmetry 6 x = 150° and y = 30°
7 More than one plane of symmetry. 8 No plane of symmetry. 9 More than one plane of symmetry.
Cambridge Checkpoint Mathematics Revision Guide 1 © Hodder & Stoughton Ltd 2013
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5 Measures and motion Check your understanding 5.1
Check your understanding 5.4
1 a) 160 cm
b) 2.5 litres
c) 3500 grams
2 a) 3.5 m
b) 750 ml
c) 0.65 kg
1 a) 70 litres b) 10 litres c) The minibus stopped for half an hour d) The minibus stopped to refuel
3 72 km 4 15 cm 6 15 kg
2 a) A b) $14 000 c) $6000 d) 2009
Check your understanding 5.2
Spotlight on the test (page 26)
1 115 km per hour
1 7.5 kg
2 8 m per second
2 325 cm
3 16 miles per hour
3 25 miles
4 a) 1000 m or 1 km b) 60 km per hour
4 a) S travels at 100 km per hour, so is breaking the rule. T travels at just under 90 km per hour so is not breaking the rule. b) Train T passes train S which is stationary but travelling in the opposite direction.
5 190 miles
5 a) A 3.6 m/h, B 3.8 m/h, C 3.4 m/h, D 3.3 m/h b) Snail B is the fastest.
Check your understanding 5.3 1 A 60 km h–1, B 0, C 20 km h–1, D 180 km h–1, E 8 m s–1, F 4 m s–1, G 2 m s–1. 2 a) 48 km h–1
5 a) Down b) 20 minutes c) 1520
b) 30 minutes c) 32 km h–1
6 Planning, collecting and displaying data Check your understanding 6.1
Check your understanding 6.2
1 Discrete.
1 Better to replace with (for example) more than 5 times a week, 2 to 4 times a week, and fewer than 2 times a week.
2 Continuous. 3 Continuous. 4 Discrete. 5 Continuous.
6
2 No improvement needed. 3 $10 and $20 are members of two different categories – ambiguous.
Cambridge Checkpoint Mathematics Revision Guide 1 © Hodder & Stoughton Ltd 2013
ANSWERS l
Check your understanding 6.3
Spotlight on the test (page 30)
1 a) 13
1 Remove overlapping options, that is 1–5, 6–10, 11–15, >15 Allow option to reply 0.
2 4 5 6 7 8 9
b) 43
8
c) 43 – 8 = 35 Key 7 1 = 71
3
7
2
5
8
1
1
4
2 a) 1 2 3 4 5
4
3
Check your understanding 6.4 1 a)
3
3
1
4
7
1
6
5
8
9 key 1 9 = 19
2
b) 52 is very different from the rest. 3 a)
Age n of child, in years
Frequency
2
5 ≤ n < 10
4
13 ≤ t < 14
5
10 ≤ n < 15
7
14 ≤ t < 15
3
15 ≤ n < 20
9
15 ≤ t < 16
1
20 ≤ n < 25
8
1
25 ≤ n < 30
5
Time t, in seconds
Frequency
12 ≤ t < 13
16 ≤ t < 17
b)
2
b)
6
10 Frequency
Frequency
8 4 2 0 11
13
15
17
6 4 2 0
Time (s)
2 Categorical data: a pie chart would be suitable (or a bar chart).
10 20 Age (years)
30
c) A pie chart is unsuitable as this is not categorical data.
7 Equations, functions and inequalities Check your understanding 7.1
Check your understanding 7.2
1 x = 7
2 x = 8
1 x = 3, y = 1
2 x = 4, y = 2
3 x = 17
4 x = 0.5
3 x = 6, y = 3
4 x = 3, y = –1
5 x = 10
6 x = 3
5 x = 7, y = 3 6 x = 6, y = 4
7 x = 1
8 x = 5
7 x = 2, y = –1 8 x = 1, y = 1
9 x = 1
10 x = 4
9 x = 3, y = –2
11 x = 4
12 x = 3
13 x = 5
14 x = 8
15 x = 2
16 x = 2
10 x = 7, y = 0
Cambridge Checkpoint Mathematics Revision Guide 1 © Hodder & Stoughton Ltd 2013
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l ANSWERS
Check your understanding 7.3
Check your understanding 7.5
1 a) 3x – 10 = 2(x + 1), b) x = 12, c) 26 by 48
1 x 2 + 7x + 12
2 y2 + 8y + 12
2 a) y + y – 6 + 2y – 2 = 40, b) y = 12
3 x 2 – 5x – 14
4 y2 + y – 20
3 a) 3x – 2 + 4x + 2 + x + 7 = 39, b) x = 4, c) 10, 18, 11
5 x 2 – 9x – 22
6 x 2 – 36
7 y2 – 9
8 y2 + 5y + 6
9 2x 2 + x – 1
10 2x 2 – x – 6
11 3x 2 – 5x + 2
12 3x 2 + 8x – 3
13 4x 2 + 8x + 3
14 6x 2 – 7x – 3
15 6x 2 + 13x + 6
16 9x 2 – 4
4 a) C = 12n + 10, b) nine people
Check your understanding 7.4 1 x < 4 2 x ≤ 6
Spotlight on the test (page 36)
3 y < 5 4 x ≤ 4
1 x = 3
5 x ≤ 1
2 x = 5, y = 1
6 x < 4
3 10y + 30
7 x < 5
4 x = 3 so shape A has side 8 and shape B side 6
8 x ≤ 7 9
5 1, 2 and 3 4
6
8
10
12
6 a) 6 < x ≤ 10 b)
10 2
4
6
8
6
8
10
7 x 2 + 2x – 15
11 2
4
6
8
8 6x 2 + 7x – 3
12 2
4
6
13 3, 4, 5, 6 and 7 14 3, 4, 5, 6 and 7 15 2, 3, 4, 5, 6, 7, 8 and 9 16 19
8
Cambridge Checkpoint Mathematics Revision Guide 1 © Hodder & Stoughton Ltd 2013
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8 Measurement and construction Check your understanding 8.1
Spotlight on the test (page 38)
This is a construction exercise, so there are no numerical solutions.
1
1
5 cm
4 cm
7 cm
5 cm
2
2
4 cm
3 cm
6 cm
5 cm
5 cm 9 cm
3
3
6 cm
4 cm
8 cm
7 cm
Cambridge Checkpoint Mathematics Revision Guide 1 © Hodder & Stoughton Ltd 2013
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l ANSWERS 4
5 cm
5 cm
5 cm
5 cm
5 cm
5 cm
5 The correct order of instructions is: l Draw two straight lines BA and BC meeting at a point B. l Use compasses to draw the arc DE centred on B. l Use compasses to draw two arcs (with the same radii) centred on D and E. l The two arcs centred on D and E cross each other (intersect) at F. l Use a ruler to draw a straight line passing through B and F.
9 Pythagoras’ theorem Check your understanding 9.1
Check your understanding 9.2
1 13 cm 2 17 cm
1 1.5 cm
2 7.5 cm
3 12.5 cm 4 2.5 cm
3 8 cm
4 20 cm
5 11.4 cm 6 8.5 cm
5 6.2 cm
6 8.0 cm
7 9.9 cm 8 41 cm
7 5.6 cm
8 6 cm
Spotlight on the test (page 40)
10
1 a = 13.6 cm c = 13 cm
b = 5.2 cm d = 11.6 cm
2 j = 12 cm
k = 20 cm
Cambridge Checkpoint Mathematics Revision Guide 1 © Hodder & Stoughton Ltd 2013
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10 Transformations Check your understanding 10.1
Spotlight on the test (page 44)
1 Centre (0, 1) scale factor × 3
1 8
2 Scale factor × 4
Check your understanding 10.2 1 a) Translation
[ 42 ]
b) Reflection in line y = –1 c) Rotation 90° anticlockwise, about O.
6 4 S
2
0
R 2
4
6
2 Rotation 180° about O.
8
10
6
2 a) b)
A
4 T
–6
–4
2
–2
0 –2
2
4
6 B
–4 –6
c) 180° rotation about (5, 1) 3 Enlargement by scale factor ×6, centre (0, 3).
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11 Averages and spread Check your understanding 11.1
Check your understanding 11.3
1 a) 15.6 b) 7
1 The average age of both clubs is similar. The spread of the ages is much smaller in the squash club.
2 Mean 19.5, median 18, mode 17 and range 15 3 a) 15 b) 0 c) median
Spotlight on the test (page 48)
Check your understanding 11.2 1 Mean = 1.875
1 a) 14.5 years b) 15.5 years c) 16 years d) 7 years e) Decrease, as 13 < 14.5 2 3, 3, 7, 8, 10
2 a) Mean = 61.5 mm b) Modal class is 60 < t ≤ 90
3 a) 29 b) 36 c) Mr Hindocha’s class has done better – they have a higher median score.
12 Processing and presenting data Check your understanding 12.1
2
1
mall black
station 90°
60° 216°
144°
126°
84° blond cinema
brown
9 8 7 6 5 4 3 2 1 0 station
12
cinema
Cambridge Checkpoint Mathematics Revision Guide 1 © Hodder & Stoughton Ltd 2013
mall
ANSWERS l
Check your understanding 12.2 1 A – 3 B – 1 C – 2 2 C
Spotlight on the test (page 52) 1
2 gold coaches lorries 150°
40°
no award
90°
200°
120°
silver
60° 60°
bronze cars
3 a)
20
16
English
12
8
4
0
4
8
12
16
20
Maths
b) Positive correlation c) Chloe might have scored 18 in Maths (or 17, or 19, depending on how you judge the correlation graph).
Cambridge Checkpoint Mathematics Revision Guide 1 © Hodder & Stoughton Ltd 2013
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13 Fractions, decimals and percentages Check your understanding 13.1 1 a)
2 3
b) 23 24
c)
17 20
d) 56
2 a)
1 4
b) 15
c)
17 30
d) 14
3 4
1 2
3 a) 5 4 a)
2 11
5 a) 9 13
7 12
b) 1
c) 8
2 3
4 15
b)
c)
b) 10 12
c) 45
d) 1 d)
Spotlight on the test (page 56) 1
1 6
5 12
d) 1 13
13 20
2 1 12 3 80% 4 60 5 $510 6 a) 1.65
b) $9.90
c) $8.00
Check your understanding 13.2 1 80%
2 85%
3 180 4 276 5 $102
6 $37
14 Sequences, functions and graphs Check your understanding 14.1
Check your understanding 14.2
1 a) 11, 13, rule 2n – 1 b) 16, 22, not arithmetic c) 37, 41, rule 4n + 17 d) 7, 6, rule 12 – n
1 a) y = x + 1
2 2, 7, 22, 67 3 5, 8, 13
b) y = 3x + 2 c) y = 5 – x
Spotlight on the test (page 59) 1 A = R, B = P, C = S, D = Q 2 a) 3n + 4
b) 154
3 A = 2, B = 3, C = 1 4 y = 3x + 4
14
Cambridge Checkpoint Mathematics Revision Guide 1 © Hodder & Stoughton Ltd 2013
ANSWERS l
15 Angle properties Check your understanding 15.1
Check your understanding 15.3
1 a = 40°, b = 140°, c = 100°, d = 40°
1 w = 44°, x = 80°, y = 53°, z = 80°
2 p = 30°, q = 30°, r = 80°, s = 140°
2 40°
3 t = 61°
3 135°
Check your understanding 15.2
4 57 + 63 + 70 = 190° not 180° as it should be for a triangle
1 a = 72° (alternate), b = 130° (corresponding), c = 120° (alternate), d = 60° (angles on a straight line), e = 51° (alternate), f = 129° (angles on a straight line), g = 115° (corresponding), h = 82° (alternate)
Spotlight on the test (page 63)
2 a) Alternate
3 a = 44°, b = 81°, c = 60°, d = 39°, e = 141°, f = 103°, g = 77°, h = 38°, i = 142°, h = 38°
b) Corresponding
3 a = 86° (alternate), b = 41° (alternate)
1 x = 51°, y = 132° 2 Alternate
16 Area, perimeter and volume Check your understanding 16.1
Check your understanding 16.3
1 28 cm2
1 A yes, B no, C yes, D yes, E no
2 14 cm2
2
3
6 cm 3 cm
12 cm2
4 4 cm2 3 cm
5 45 cm2 6 8 cm2
3 cm 6 cm
Check your understanding 16.2 1 70 cm2 2 48 cm2 3
40 cm2
4 75 cm2
Check your understanding 16.4 1 6 + 6 + 30 + 40 + 50 = 132 cm2 2 2 × (24 + 36 + 54) = 228 cm2
Check your understanding 16.5 1 72 cm2, 70 cm2 2 x = 20, y = 8
Cambridge Checkpoint Mathematics Revision Guide 1 © Hodder & Stoughton Ltd 2013
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Check your understanding 16.6
Spotlight on the test (page 69)
1 550 mm2
1 a) 28 cm
2 60 000 cm3
2 a) Cuboid
3 12 m2 4
b) 36 cm2
b)
0.0075 m3
3 cm
5 a) 600 cm2
b) 0.06 m2
6 1 000 000 000
2 cm
2 cm
3 cm
2 cm 4 cm
c) 2 × (12 + 6 + 8) = 52 cm2 d) 24 cm3 3 25 000 mm2 4 a) 6 cm 4 cm
6 cm 6 cm
10 cm
8 cm
10 cm
10 cm
b) 24 + 24 + 24 + 32 + 40 = 144 cm2
17 Ratio and proportion Check your understanding 17.1
Check your understanding 17.3
1 a) 4:7
1 45 kilometres
b) 3:4
c) 7:11
d) 5:6
2 60 cm and 100 cm
2 12.5 kg
3 80 birch and 120 beech
3 $192 4 $875
Check your understanding 17.2 1 40 minutes
Spotlight on the test (page 72)
2 120 minutes
1 4 : 5 2 $80
3 3 34 hours
3 a) 36 4 a) €300 b) 6 b) £375
4 6 days 5 8 hours
5 9 hours 6 720 g 7 32 minutes 8 $7.68
16
Cambridge Checkpoint Mathematics Revision Guide 1 © Hodder & Stoughton Ltd 2013
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18 Formulae, functions and graphs Check your understanding 18.1
Spotlight on the test (page 77)
1 24
2 1300
3 23
4 50
1 a) 27 b) 9 2 a) 600 b) 5
5 17 6 120 7 4
8 5
9 5
10 28
3 4.1
Check your understanding 18.2 1 1.5
2 8.1
3 2.8
4 0.9 8 0.3
9 2.7
10 3.1
5 a) T b) Q and R c) S 6 a) B b) A c) 8 seconds d) B, because after 500 m it is in front and going faster.
5 3.7 6 1.6 7 2.6
4 a) y = 1.2x – 3 b) 1.2 c) –3
Check your understanding 18.3 1 a) y = 3x + 4 b) y= 3x c) y = –4x + 2
gradient 3 intercept 4 gradient 3 intercept 0 gradient –4 intercept 2
2 a) y = 2x + 43
gradient 2
b) y = 14 x –
3 4
gradient
c) y = – 32 × + 6 3 a) y = –x + 10 3 4
5 4
1 3
4 3
intercept – 34
gradient – 32 intercept 6 gradient –1 intercept 10 intercept
5 4
gradient – 43 intercept
1 3
b) y = x + gradient c) y = – 43 x +
1 4
intercept
3 4
Check your understanding 18.4 1 a) Plan B b) Plan B c) 400
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19 Bearings and drawings Check your understanding 19.1
Spotlight on the test (page 81)
1 168 cm (1.68 m)
1 11.24 m
2 24 mm
2 b) 8.9 m
3 1 : 50 000
3 10
4 10.5 cm 8
5 250 m
V
6
Check your understanding 19.2
4
1 A 074°, B 118°, C 198°, D 249°, E 295°, F 352°.
2
Check your understanding 19.3 1 A
0 B
A
B 2
4
6
8
10
b) 5 km c) 7.1 km d) 1 : 100 000
Flowerbed
Gravel path
D
C
2
M
18
R
Cambridge Checkpoint Mathematics Revision Guide 1 © Hodder & Stoughton Ltd 2013
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20 Circles, cylinders and prisms Check your understanding 20.1
Check your understanding 20.3
1 Area 28.3 cm2, circumference 18.8 cm.
1 Area of cross-section = 16 cm2, volume = 160 cm3.
2 Area 78.5 cm2, circumference 31.4 cm.
2 Area of cross-section = 9 cm2, volume = 72 cm3.
3 Area 113 cm2, circumference 37.7 cm. 4 Area 201 cm2, circumference 50.3 cm. 5 Area 154 cm2, circumference 44.0 cm.
Spotlight on the test (page 85)
6 Area 38.5 cm2, circumference 22.0 cm.
Check your understanding 20.2 1 CSA =
251 cm2,
volume =
628 cm3.
2 CSA =
528 cm2,
volume =
1850 cm3.
3 CSA =
94.2 cm2,
volume = 141 cm3.
1 a) 56.5 cm
b) 254 cm2
2 a) 8 cm
b) 41.1 cm2 (25.1 + 16)
3 a) 251 cm3
b) 126 cm2
4 a) 24 cm2
b) 96 cm3
4 CSA = 50.3 cm2, volume = 101 cm3. 5 452 cm3.
6 138 cm2.
21 Probability Check your understanding 21.1 1
1 4
3
12 3 (= or 0.12) 100 25
Spotlight on the test (page 88)
2 25
5 a) 0.4
1 a)
4 0.1
b) 0.8
2 a)
H
H
H
(H, H)
(H, T)
T
(T, H)
(T, T)
1 2 3 4 5 6
1 1 2 3 4 5 6
2 2 4 6 8 10 12
3 a) 8
c) 2
4 a) 0.2 5
b) 14 (= 0.25)
3 3 6 9 12 15 18
4 4 8 12 16 20 24
b)
60 = 0.6 100
2 0.8
Check your understanding 21.2 1 a)
40 = 0.4 100
5 5 10 15 20 25 30
6 6 12 18 24 30 36
b) 4 b) 0.65
c) 6
2 1 = 18 9
b)
4 1 = 36 9
Cambridge Checkpoint Mathematics Revision Guide 1 © Hodder & Stoughton Ltd 2013
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22 Written and mental arithmetic methods Check your understanding 22.1
Spotlight on the test (page 90)
1 6072
2 1062
3 4617
4 5632
1 a) 4.5 b) 550
5 18 872
6 2233
2 70
7 29 172
8 8760
3 101.52
9 50.24
10 60.68
11 178.2
12 43.5
13 1.44
14 0.12
15 163.2
16 14.62
23 Problem solving P1 12 m
P8 253 (since 235 is not a multiple of 11)
P2 5, 5, 6, 7, 8
P9 31.8 m
P3 Snail D (their distances per minute are 48, 45, 42, 51, 36 cm)
P10 No: 182 + 302 = 1224 but 352 = 1225
P4 12.6 cm P5 a) 16.6 P6 10 beads
b) 6
P11 69, 101 and 1037 P12 a) 6x – 60 = 180 b) 40°, 90°, 50° c) right-angled triangle
P7 n = 15
20
Cambridge Checkpoint Mathematics Revision Guide 1 © Hodder & Stoughton Ltd 2013