1
Cambridge CheCkpoint mathematiCs revision guide For the Cambridge seCondary 1 test Answers
1 Place value, ordering and rounding
Check your understanding 1.11 623 < 652
2 3108 < 3112
3 0.235 > 0.215
4 9740 < 12 350
5 13.226 > 12.895
Check your understanding 1.2 1 3620 2 1370
3 122 000 4 140
5 180 6 60 000
7 740 000 8 3000
9 540 10 13 000
Check your understanding 1.3 1 2530
2 4800
3 90
4 260
5 300
6 6820
7 12 400 people.
8 $123 000
Check your understanding 1.4 1 18.6 2 304.8
3 8.07 4 28.222
5 61.46 6 72.20
7 3.142 8 1.4
9 0.07 10 7.071
Check your understanding 1.5 1 3.1 2 156.1
3 166 4 154 300
5 16 300 6 900
7 2520 8 0.0032
9 0.010 10 1
Check your understanding 1.6 1 200 × 40 = 8000
2 50 × 20 = 1000
3 2000 ÷ 50 = 40
4 600 ÷ 30 = 20
5 70 × 20 = 1400 g
6 500 ÷ 20 = 25
7 60 ÷ 4 = 15
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
Cambridge Checkpoint Mathematics Revision Guide 1 © Hodder & Stoughton Ltd 20132
l ANSWERS
Spotlight on the test (page 5)1 a) 7325 > 7236
b) 20 × 1000 = 200 × 100c) 29 × 59 < 31 × 61d) 40 000 ÷ 100 > 400 ÷ 10
2 10 000
3 9285
4 a) 15.604 b) 15.6
5 a) 300 and 20b) 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 Integers, powers and roots
Check your understanding 2.1 1 a) (+5) = 5 b) (+7) = 7 c) (+1) = 1
2 a) (–7) = –7 b) (–4) = –4 c) (–2) = –2
3 a) (+4) = +4 b) (–2) = –2 c) (–7) = –7
4 a) (–10) = –10 b) (–2) = –2 c) (–1) = –1
5 a) (–0.4) = –0.4 b) (–1.6) = –1.6 c) 0
6 a) (+0.7) = 0.7 b) (–4.0) = –4.0c) (+4.1) = 4.1
7 a) (+14.4) = 14.4 b) 0 c) (–3.9) = –3.9
8 (–4), (–3), (+6)
9 (–10), (–5), (–1), (+2)
10 (–10), (–8), (–5), (+1)
Check your understanding 2.21 a) 12, 15 b) 10, 15 c) 11, 13, 17
2 5
3 6
4 a) 37 b) 41, 43, 47c) No – 51 is 3 × 17 d) 8
Check your understanding 2.31 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
Check your understanding 2.41 a) 32 × 5
b) 22 × 11 c) 23 × 32 d) 22 × 32 × 5
2 14
3 315
4 a) 120 = 23 × 3 × 5 and 144 = 24 × 32 b) 24
5 a) 75 = 3 × 52 and 120 = 23 × 3 × 5 b) 600
Check your understanding 2.51 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
4 343
5 102 = 100 and 112 = 121. 105 does lie between these values, so its square root lies between 10 and 11.
6 52 = 25, 62 = 36, 72 = 49 and 36 < 43 < 49 so Anton is right.
Cambridge Checkpoint Mathematics Revision Guide 1 © Hodder & Stoughton Ltd 2013 3
ANSWERS l
Check your understanding 2.6 1 39 2 65
3 43 4 22
5 512 6 4–1
7 812 8 56
9 45 10 101 or just 10
11 65 12 73
13 39 14 1
15 3 16 –3
Check your understanding 2.71 34 2 64
3 11 4 2
5 77 6 29
7 15 8 3
9 8 10 4
Spotlight on the test (page 12) 1 a) 24 b) 20 c) 23
2 260 ºC
3 25 July
4 a) Wednesday b) 6 ºC
5 a) 72 = 49, 82 = 64 and 49 < 60 < 64b) 73 = 343 and 83 = 512; 250 does not lie
between these values.
6 a) a = 4 b) b = –3 c) c = 0
7 41
8 a) 512 b) 28 c) 1
9 46
10 12
3 Expressions, equations and formulae
Check your understanding 3.11 expression 2 formula
3 equation 4 expression
5 formula 6 expression
7 formula 8 expression
9 equation 10 formula
Check your understanding 3.21 x9 2 y4
3 z6 4 x7
5 y4 6 1
7 y3 8 z9
9 m–2 10 z2
Check your understanding 3.3 1 2x + 8 2 3x + 6
3 10x – 5 4 7a + 35
5 20b – 30 6 12x + 8y
7 2x – 6y 8 8x + 12y
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
Cambridge Checkpoint Mathematics Revision Guide 1 © Hodder & Stoughton Ltd 20134
l ANSWERS
Check your understanding 3.4 1 7(x + 3)
2 2(2y + 5)
3 5(z – 4)
4 3(3x + 5)
5 5(3y – 5)
6 x(x + 7)
7 3y(y – 3)
8 5y(2y + 5)
9 3z(4z – 5)
10 2x(2y – 5)
Check your understanding 3.5
1 b = Vac
2 m = y – cx
3 r = C2p
4 T = PVR
5 h = √–W8
–
6 n = u – 2a
7 a = u – n2
8 a = Fm
9 r = √–Ap
–
10 u = √v2 – 2as
Check your understanding 3.6
1 58
2 5x8
3 720
4 7x20
5 5y21
6 a5
7 17b30
8 7c20
9 5x + 128
10 5y + 228
11 12x – 520
12 112x
Spotlight on the test (page 17) 1 a) expression
b) formulac) equation
2 4x2 + 20x
3 2x2 – 5x – 3
4 2m(3m + 4n)
5 a) y7 b) x5 c) z8
6 s = v2 – u2
2a
7 x = y – 93
8 a) B and E b) A, C and D
9 7x8
10 3x + 110
Cambridge Checkpoint Mathematics Revision Guide 1 © Hodder & Stoughton Ltd 2013 5
ANSWERS l
4 Shapes, congruency and geometric reasoning
Check your understanding 4.11 Congruent – ASA
2 Not congruent
3 Congruent – SAS
4 Congruent – RHS
5 Annie is wrong – the shapes are similar but not congruent.
Check your understanding 4.21 Two lines of symmetry, and rotation
symmetry of order 2.
2 No lines of symmetry, and rotation symmetry of order 2.
3 One line of symmetry, no rotation symmetry.
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.
7 More than one plane of symmetry.
8 No plane of symmetry.
9 More than one plane of symmetry.
Check your understanding 4.3Interior/exterior angles in polygons
1 a) 6 b) 60° c) 120°
2 36°
3 140°
4 24 sides
5 45 sides
Spotlight on the test (page 21)1 Congruent – SSS
2 Congruent – RHS
3 Not congruent
4
5 a) Order 4b) No reflection symmetry
6 x = 150° and y = 30°
Cambridge Checkpoint Mathematics Revision Guide 1 © Hodder & Stoughton Ltd 20136
l ANSWERS
5 Measures and motion
Check your understanding 5.11 a) 160 cm b) 2.5 litres c) 3500 grams
2 a) 3.5 m b) 750 ml c) 0.65 kg
3 72 km
4 15 cm
5 190 miles
6 15 kg
Check your understanding 5.21 115 km per hour
2 8 m per second
3 16 miles per hour
4 a) 1000 m or 1 kmb) 60 km per hour
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 5.31 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 b) 30 minutes c) 32 km h–1
Check your understanding 5.41 a) 70 litres
b) 10 litresc) The minibus stopped for half an hourd) The minibus stopped to refuel
2 a) A b) $14 000c) $6000d) 2009
Spotlight on the test (page 26)1 7.5 kg
2 325 cm
3 25 miles
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 a) Downb) 20 minutesc) 1520
6 Planning, collecting and displaying data
Check your understanding 6.11 Discrete.
2 Continuous.
3 Continuous.
4 Discrete.
5 Continuous.
Check your understanding 6.21 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 No improvement needed.
3 $10 and $20 are members of two different categories – ambiguous.
Cambridge Checkpoint Mathematics Revision Guide 1 © Hodder & Stoughton Ltd 2013 7
ANSWERS l
Check your understanding 6.31 a) 13 b) 43 c) 43 – 8 = 35
2 4 8 Key 7 1 = 71
5 3 7
6 2 5 8
7 1 1 4 4
8
9 3
Check your understanding 6.41 a) Time t, in seconds Frequency
12 ≤ t < 13 2
13 ≤ t < 14 5
14 ≤ t < 15 3
15 ≤ t < 16 1
16 ≤ t < 17 1
b)
011 13 15 17
2
4
6
Time (s)
Freq
uenc
y
2 Categorical data: a pie chart would be suitable (or a bar chart).
Spotlight on the test (page 30)1 Remove overlapping options, that is 1–5,
6–10, 11–15, >15 Allow option to reply 0.
2 a) 1 2 3 3 5 8 9
2 1 4 7 key 1 9 = 19
3 1 6
4
5 2
b) 52 is very different from the rest.
3 a) Age n of child, in years Frequency
5 ≤ n < 10 4
10 ≤ n < 15 7
15 ≤ n < 20 9
20 ≤ n < 25 8
25 ≤ n < 30 5
b)
0 10 20 30
2
4
6
8
10
Age (years)
Freq
uenc
y
c) A pie chart is unsuitable as this is not categorical data.
7 Equations, functions and inequalities
Check your understanding 7.1 1 x = 7 2 x = 8
3 x = 17 4 x = 0.5
5 x = 10 6 x = 3
7 x = 1 8 x = 5
9 x = 1 10 x = 4
11 x = 4 12 x = 3
13 x = 5 14 x = 8
15 x = 2 16 x = 2
Check your understanding 7.21 x = 3, y = 1 2 x = 4, y = 2
3 x = 6, y = 3 4 x = 3, y = –1
5 x = 7, y = 3 6 x = 6, y = 4
7 x = 2, y = –1 8 x = 1, y = 1
9 x = 3, y = –2 10 x = 7, y = 0
Cambridge Checkpoint Mathematics Revision Guide 1 © Hodder & Stoughton Ltd 20138
l ANSWERS
Check your understanding 7.31 a) 3x – 10 = 2(x + 1), b) x = 12, c) 26 by 48
2 a) y + y – 6 + 2y – 2 = 40, b) y = 12
3 a) 3x – 2 + 4x + 2 + x + 7 = 39, b) x = 4, c) 10, 18, 11
4 a) C = 12n + 10, b) nine people
Check your understanding 7.4 1 x < 4
2 x ≤ 6
3 y < 5
4 x ≤ 4
5 x ≤ 1
6 x < 4
7 x < 5
8 x ≤ 7
9 4 6 108 12
10 2 4 86
11 2 4 86
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
Check your understanding 7.5 1 x2 + 7x + 12 2 y2 + 8y + 12
3 x2 – 5x – 14 4 y2 + y – 20
5 x2 – 9x – 22 6 x2 – 36
7 y2 – 9 8 y2 + 5y + 6
9 2x2 + x – 1 10 2x2 – x – 6
11 3x2 – 5x + 2 12 3x2 + 8x – 3
13 4x2 + 8x + 3 14 6x2 – 7x – 3
15 6x2 + 13x + 6 16 9x2 – 4
Spotlight on the test (page 36)1 x = 3
2 x = 5, y = 1
3 10y + 30
4 x = 3 so shape A has side 8 and shape B side 6
5 1, 2 and 3
6 a) 6 < x ≤ 10
b) 6 8 10
7 x2 + 2x – 15
8 6x2 + 7x – 3
Cambridge Checkpoint Mathematics Revision Guide 1 © Hodder & Stoughton Ltd 2013 9
ANSWERS l
8 Measurement and construction
Check your understanding 8.1 This is a construction exercise, so there are no numerical solutions.
1
5 cm
7 cm
4 cm
2
6 cm
9 cm
5 cm
3
8 cm
Spotlight on the test (page 38)
1
5 cm
2
4 cm 3 cm
5 cm
3
4 cm
7 cm
6 cm
Cambridge Checkpoint Mathematics Revision Guide 1 © Hodder & Stoughton Ltd 201310
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 9.11 13 cm 2 17 cm
3 12.5 cm 4 2.5 cm
5 11.4 cm 6 8.5 cm
7 9.9 cm 8 41 cm
Check your understanding 9.21 1.5 cm 2 7.5 cm
3 8 cm 4 20 cm
5 6.2 cm 6 8.0 cm
7 5.6 cm 8 6 cm
Spotlight on the test (page 40)1 a = 13.6 cm b = 5.2 cm
c = 13 cm d = 11.6 cm
2 j = 12 cm k = 20 cm
Cambridge Checkpoint Mathematics Revision Guide 1 © Hodder & Stoughton Ltd 2013 11
ANSWERS l
10 Transformations
Check your understanding 10.11 Centre (0, 1) scale factor × 3
2 Scale factor × 4
Check your understanding 10.21 a) Translation [ 4
2 ]b) Reflection in line y = –1 c) Rotation 90° anticlockwise, about O.
2 Rotation 180° about O.
Spotlight on the test (page 44)1
0
2
4
6
8
2 4 6 8 10
S
R
2 a) b)
c) 180° rotation about (5, 1)
3 Enlargement by scale factor ×6, centre (0, 3).
0
2
4
6
–6
–4
–2
2
A
B
T
4 6–6 –4 –2
Cambridge Checkpoint Mathematics Revision Guide 1 © Hodder & Stoughton Ltd 201312
l ANSWERS
11 Averages and spread
Check your understanding 11.11 a) 15.6
b) 7
2 Mean 19.5, median 18, mode 17 and range 15
3 a) 15 b) 0 c) median
Check your understanding 11.21 Mean = 1.875
2 a) Mean = 61.5 mmb) Modal class is 60 < t ≤ 90
Check your understanding 11.31 The average age of both clubs is similar. The spread of the ages is much smaller in
the squash club.
Spotlight on the test (page 48)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
3 a) 29 b) 36c) Mr Hindocha’s class has done better – they
have a higher median score.
12 Processing and presenting data
Check your understanding 12.11
60°
84°216°
brown
blond
black
2
144°
126°
90°
cinema
station
mall
0
1
2
3
4
5
6
7
8
9
station cinema mall
Cambridge Checkpoint Mathematics Revision Guide 1 © Hodder & Stoughton Ltd 2013 13
ANSWERS l
Check your understanding 12.21 A – 3 B – 1 C – 2
2 C
Spotlight on the test (page 52)1
90°
120°150°
coaches
cars
lorries
2
40°
60°
60°200°
gold
silver
bronze
no award
3 a)
4
0 84 12 16 20
8
12
16
20
Maths
Engl
ish
b) Positive correlationc) 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 201314
l ANSWERS
13 Fractions, decimals and percentages
Check your understanding 13.11 a) 2
3 b) 23
24 c) 17
20 d) 5
6
2 a) 14 b) 1
5 c) 17
30 d) 1
4
3 a) 5 34 b) 1 1
2 c) 8 7
12 d) 1 1
6
4 a) 211 b) 2
3 c) 4
15 d) 5
12
5 a) 9 13 b) 10 1
2 c) 4
5 d) 1 1
3
Check your understanding 13.21 80% 2 85%
3 180 4 276
5 $102 6 $37
Spotlight on the test (page 56)
1 1320
2 112
3 80%
4 60
5 $510
6 a) 1.65 b) $9.90 c) $8.00
14 Sequences, functions and graphs
Check your understanding 14.11 a) 11, 13, rule 2n – 1
b) 16, 22, not arithmeticc) 37, 41, rule 4n + 17 d) 7, 6, rule 12 – n
2 2, 7, 22, 67
3 5, 8, 13
Check your understanding 14.21 a) y = x + 1 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
Cambridge Checkpoint Mathematics Revision Guide 1 © Hodder & Stoughton Ltd 2013 15
ANSWERS l
15 Angle properties
Check your understanding 15.11 a = 40°, b = 140°, c = 100°, d = 40°
2 p = 30°, q = 30°, r = 80°, s = 140°
3 t = 61°
Check your understanding 15.21 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)
2 a) Alternate b) Corresponding
3 a = 86° (alternate), b = 41° (alternate)
Check your understanding 15.31 w = 44°, x = 80°, y = 53°, z = 80°
2 40°
3 135°
4 57 + 63 + 70 = 190° not 180° as it should be for a triangle
Spotlight on the test (page 63)1 x = 51°, y = 132°
2 Alternate
3 a = 44°, b = 81°, c = 60°, d = 39°, e = 141°, f = 103°, g = 77°, h = 38°, i = 142°, h = 38°
16 Area, perimeter and volume
Check your understanding 16.11 28 cm2
2 14 cm2
3 12 cm2
4 4 cm2
5 45 cm2
6 8 cm2
Check your understanding 16.21 70 cm2
2 48 cm2
3 40 cm2
4 75 cm2
Check your understanding 16.31 A yes, B no, C yes, D yes, E no
2
6 cm
6 cm
3 cm
3 cm
3 cm
Check your understanding 16.41 6 + 6 + 30 + 40 + 50 = 132 cm2
2 2 × (24 + 36 + 54) = 228 cm2
Check your understanding 16.51 72 cm2, 70 cm2
2 x = 20, y = 8
Cambridge Checkpoint Mathematics Revision Guide 1 © Hodder & Stoughton Ltd 201316
l ANSWERS
Check your understanding 16.61 550 mm2
2 60 000 cm3
3 12 m2
4 0.0075 m3
5 a) 600 cm2 b) 0.06 m2
6 1 000 000 000
Spotlight on the test (page 69)1 a) 28 cm b) 36 cm2
2 a) Cuboid
b)
4 cm
2 cm
3 cm
2 cm
3 cm
2 cm
c) 2 × (12 + 6 + 8) = 52 cm2
d) 24 cm3
3 25 000 mm2
4 a)
4 cm6 cm
6 cm
6 cm
10 cm
10 cm
8 cm 10 cm
b) 24 + 24 + 24 + 32 + 40 = 144 cm2
17 Ratio and proportion
Check your understanding 17.11 a) 4:7 b) 3:4 c) 7:11 d) 5:6
2 60 cm and 100 cm
3 80 birch and 120 beech
Check your understanding 17.21 40 minutes
2 120 minutes
3 334 hours
4 6 days
5 8 hours
Check your understanding 17.31 45 kilometres
2 12.5 kg
3 $192
4 $875
Spotlight on the test (page 72)1 4 : 5 2 $80
3 a) 36 4 a) €300 b) 6 b) £375
5 9 hours 6 720 g
7 32 minutes 8 $7.68
Cambridge Checkpoint Mathematics Revision Guide 1 © Hodder & Stoughton Ltd 2013 17
ANSWERS l
18 Formulae, functions and graphs
Check your understanding 18.11 24 2 1300
3 23 4 50
5 17 6 120
7 4 8 5
9 5 10 28
Check your understanding 18.21 1.5 2 8.1
3 2.8 4 0.9
5 3.7 6 1.6
7 2.6 8 0.3
9 2.7 10 3.1
Check your understanding 18.31 a) y = 3x + 4 gradient 3 intercept 4
b) y= 3x gradient 3 intercept 0c) y = –4x + 2 gradient –4 intercept 2
2 a) y = 2x + 43 gradient 2 intercept 4
3
b) y = 14 x – 3
4 gradient 1
4 intercept – 3
4
c) y = – 32× + 6 gradient – 3
2 intercept 6
3 a) y = –x + 10 gradient –1 intercept 10
b) y = 34 x + 5
4 gradient 3
4 intercept 5
4
c) y = – 43 x + 1
3 gradient – 4
3 intercept 1
3
Check your understanding 18.41 a) Plan B
b) Plan Bc) 400
Spotlight on the test (page 77)1 a) 27
b) 9
2 a) 600 b) 5
3 4.1
4 a) y = 1.2x – 3 b) 1.2 c) –3
5 a) T b) Q and R c) S
6 a) B b) A c) 8 secondsd) B, because after 500 m it is in front and
going faster.
Cambridge Checkpoint Mathematics Revision Guide 1 © Hodder & Stoughton Ltd 201318
l ANSWERS
19 Bearings and drawings
Check your understanding 19.11 168 cm (1.68 m)
2 24 mm
3 1 : 50 000
4 10.5 cm
5 250 m
Check your understanding 19.21 A 074°, B 118°, C 198°, D 249°, E 295°,
F 352°.
Check your understanding 19.31 A B
D C
Flowerbed
Gravel path
2
RM
Spotlight on the test (page 81)1 11.24 m
2 b) 8.9 m
3 10
8
6
4
2
0 2 4 6 8 10
V
BA
b) 5 km c) 7.1 km d) 1 : 100 000
Cambridge Checkpoint Mathematics Revision Guide 1 © Hodder & Stoughton Ltd 2013 19
ANSWERS l
20 Circles, cylinders and prisms
Check your understanding 20.11 Area 28.3 cm2, circumference 18.8 cm.
2 Area 78.5 cm2, circumference 31.4 cm.
3 Area 113 cm2, circumference 37.7 cm.
4 Area 201 cm2, circumference 50.3 cm.
5 Area 154 cm2, circumference 44.0 cm.
6 Area 38.5 cm2, circumference 22.0 cm.
Check your understanding 20.21 CSA = 251 cm2, volume = 628 cm3.
2 CSA = 528 cm2, volume = 1850 cm3.
3 CSA = 94.2 cm2, volume = 141 cm3.
4 CSA = 50.3 cm2, volume = 101 cm3.
5 452 cm3. 6 138 cm2.
Check your understanding 20.31 Area of cross-section = 16 cm2,
volume = 160 cm3.
2 Area of cross-section = 9 cm2, volume = 72 cm3.
Spotlight on the test (page 85)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
21 Probability
Check your understanding 21.11 1
4 2 2
5
3 12100 (=
325 or 0.12) 4 0.1
5 a) 0.4 b) 0.8 c) 2
Check your understanding 21.21 a) H H
(H, H) (H, T)
(T, H)
H
T (T, T)
b) 14 (= 0.25)
Spotlight on the test (page 88)
1 a) 40100 = 0.4 b)
60100 = 0.6
2 0.8
3 a) 8 b) 4
4 a) 0.2 b) 0.65 c) 6
5 218 =
19
2 a) 1 1 2 3 4 5 62 2 4 6 8 10 123 3 6 9 12 15 184 4 8 12 16 20 245 5 10 15 20 25 306 6 12 18 24 30 36
1 2 3 4 5 6 b) 436 =
19
Cambridge Checkpoint Mathematics Revision Guide 1 © Hodder & Stoughton Ltd 201320
l ANSWERS
22 Written and mental arithmetic methods
Check your understanding 22.1 1 6072 2 1062
3 4617 4 5632
5 18 872 6 2233
7 29 172 8 8760
9 50.24 10 60.68
11 178.2 12 43.5
13 1.44 14 0.12
15 163.2 16 14.62
Spotlight on the test (page 90)1 a) 4.5
b) 550
2 70
3 101.52
23 Problem solving
P1 12 m
P2 5, 5, 6, 7, 8
P3 Snail D (their distances per minute are 48, 45, 42, 51, 36 cm)
P4 12.6 cm
P5 a) 16.6 b) 6
P6 10 beads
P7 n = 15
P8 253 (since 235 is not a multiple of 11)
P9 31.8 m
P10 No: 182 + 302 = 1224 but 352 = 1225
P11 69, 101 and 1037
P12 a) 6x – 60 = 180b) 40°, 90°, 50°c) right-angled triangle