Maths Revision Guide Answers

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

1

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

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3

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.

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5

l  ANSWERS

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

7

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

ANSWERS  l

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

9

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

ANSWERS  l

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

l  ANSWERS

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

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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).

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13

l  ANSWERS

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

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15

l  ANSWERS

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

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ANSWERS  l

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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17

l  ANSWERS

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

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ANSWERS  l

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

19

l  ANSWERS

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