Cambridge O Level Mathematics Second edition
Student Book answers
All answers were written by the authors. Cambridge Assessment International Education bears no responsibility for the
example answers to questions taken from its past question papers which are contained in this publication. In
examinations, the way marks are awarded may be different.
Review exercise 1
1
2
a)
22 × 32
b)
HCF of 36 and 120 = 12
c)
LCM of 36 and 120 = 360
a)
32 × 11
b)
i)
R = 22 × 3 × 52
ii)
 2 n  3n  5  19
3
9
4
a)
5
i)
27
c)
25
11
30
..
0.18
11
12
2, 4, 10
b)
7
10
iii)
17
x
9
10
a)
6
8
ii)
3
17
, 0.8, 82%, 0.83,
4
20
a)
9 °C
b)
–18 °C
a)
5
b)
–4
a)
3 2 15 14 29
  

7 5 35 35 35
b)
2 6 12 4
 

3 11 33 11
a)
0.002[0]
b)
210
Cambridge O Level Mathematics Second Edition
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Cambridge O Level Mathematics Second edition
Student Book answers
All answers were written by the authors. Cambridge Assessment International Education bears no responsibility for the
example answers to questions taken from its past question papers which are contained in this publication. In
examinations, the way marks are awarded may be different.
Review exercise 2
1
2
3
4
5
a)
125
b)
16
c)
225
a)
34
b)
23 × 32 × 5
a)
4.3 × 102
b)
6 × 109
a)
3.26 × 105
b)
2.19 × 10–2
c)
6.4 × 101 or 6.4 × 10
a)
1.7 × 10–5
b)
i)
5.5 × 1010
ii)
3 × 1020
3.5 × 10-4
4.2 × 10–4
2.1 × 10–3
240
 80
3
6

7
3805 kg
8
a)
1.8 × 108
b)
5
9
295.5 cm2
10
42 sweets in total
11
a)
$4.25
b)
40
Cambridge O Level Mathematics Second Edition
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1
Cambridge O Level Mathematics Second edition
Student Book answers
All answers were written by the authors. Cambridge Assessment International Education bears no responsibility for the
example answers to questions taken from its past question papers which are contained in this publication. In
examinations, the way marks are awarded may be different.
Review exercise 3
1
2
3
4
5
6
7
8
a)
$646
b)
$1344
a)
14%
b)
$601.76
a)
1200
b)
1350
c)
2026
a)
$168 000
b)
$5250
c)
8 years
a)
3√7
b)
√3
c)
9√3
a)
12 56
b)
75 km/h
a)
$17.60 per hour
b)
$275
c)
= $259
a)
b)
2√5
√
2
√7 so p = 2 and q = 1
Cambridge O Level Mathematics Second Edition
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Cambridge O Level Mathematics Second edition
Student Book answers
All answers were written by the authors. Cambridge Assessment International Education bears no responsibility for the
example answers to questions taken from its past question papers which are contained in this publication. In
examinations, the way marks are awarded may be different.
Review exercise 4
1
2
a)
40
b)
12
minutes
a)
b)
3
4
5
6
7
.
minutes
c)
22x² – 273x + 216 = 0
a)
405
b)
1.5
a)
8b – a
b)
24a²b
a)
3 x( y  3 x)
b)
( x  1)( x  5)
c)
(4  a )(4  a )
a)
15
b)
2
3𝑥 4
a)
8𝑥
2𝑥
b)
3𝑥
14𝑥
c)
2𝑥
9𝑥
2𝑐
10
1
17𝑥
20𝑥
6
12
3
8
9
5𝑦
2x  1
x5
a)
x 2  3 x  10
b)
11
12
a)
10
b)
n = –1
a)
b)
13
25
a)
b)
14
Cambridge O Level Mathematics Second Edition
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Cambridge O Level Mathematics Second edition
Student Book answers
All answers were written by the authors. Cambridge Assessment International Education bears no responsibility for the
example answers to questions taken from its past question papers which are contained in this publication. In
examinations, the way marks are awarded may be different.
Review exercise 5
1
2
a)
x = 18
b)
x = –3
c)
𝑥
a)
d 3f
a
4
b)
a
t
c  3b
c)
a
3w
v6
3  4t
t 1
3
p
4
a)
x
b)
2  x  12
a)
x = 0.5
b)
2.79 or –4.29
a)
𝑥
b)
i)
(x – 3)2 – 14
ii)
x   14  3 or 3  14
5
6
9
2
or 𝑥
7
x = 23
8
y = 50
9
a)
y
b)
x = –27
10
y>x
x>0
11
a)
–3
12
3
x
x<4
Pattern number
1
2
3
4
5
Number of dots
3
6
9
12
15
Number of lines
2
7
12
17
22
b)
Expression for the number of lines in Pattern n is 5n – 3
c)
Number of dots = 19 × 3 = 57
Cambridge O Level Mathematics Second Edition
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Cambridge O Level Mathematics Second edition
Student Book answers
All answers were written by the authors. Cambridge Assessment International Education bears no responsibility for the
example answers to questions taken from its past question papers which are contained in this publication. In
examinations, the way marks are awarded may be different.
Review exercise 6
1
2
3
4
a)
b)
£36
a)
–8
b)
7 or –1
a)
f 1 ( x) 
b)
𝑥
a)
Midpoint =
b)
12.8 units
x5
3
3
5
y = 2x – 7
6
Sketch 1 B y = x3 – x2
1,3
Sketch 2 C y = –x2 + 2
Sketch 3 A y = 2x
Sketch 4 E y  
2
x
Sketch 5 D y = –2x + 2
7
a)
i)
y = –2x + 5
ii)
y = –2x – 1
Cambridge O Level Mathematics Second Edition
© Hodder & Stoughton Limited 2023
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Cambridge O Level Mathematics RE6 Student Book answers
b)
i)
𝑦
3.5
ii)
iii)
Gradient = –2
iv)
x = 0.7 or x = 4.3
Cambridge O Level Mathematics Second Edition
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Cambridge O Level Mathematics Second edition
Student Book answers
All answers were written by the authors. Cambridge Assessment International Education bears no responsibility for the
example answers to questions taken from its past question papers which are contained in this publication. In
examinations, the way marks are awarded may be different.
Review exercise 7
1
2
3
a)
6
b)
0
c)
9
a)
1 : 50 000
b)
287°
c)
Triangle drawn with C where two arcs cross (construction lines not erased)
a)
BDC = 82°
Alternate segment theorem
b)
BOC = 82 × 2 = 164°
Angle at the centre is twice the angle at the circumference
4
a)
ˆ  APQ
ˆ is given in the question
ACB
ˆ  QAP
ˆ as these are a common angle
BAC
ˆ as all angles in a triangle add to 180° so if the first two angles
ˆ  AQP
ABC
are equal in the two triangles, the third angles must also be equal.
So triangle ABC is similar to triangle AQP
5
6
b)
AP = AC × 3 = 3 × 3 = 9 cm
c)
Area of quadrilateral BPQC = 9x – x = 8x
a)
36 000 000 cm³
b)
144°
a)
𝑎
b)
Perimeter =
320
16π
6𝑟
Cambridge O Level Mathematics Second Edition
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1
Cambridge O Level Mathematics Second edition
Student Book answers
All answers were written by the authors. Cambridge Assessment International Education bears no responsibility for the
example answers to questions taken from its past question papers which are contained in this publication. In
examinations, the way marks are awarded may be different.
Review exercise 8
1
5.69 km
2
a)
Bearing of A from C = 326°
b)
AD = 92.2 m
a)
–3a + 6b
b)
–a + 2b
c)
𝑂𝐷⃗
𝑂𝐵⃗
𝐵𝐷⃗
6b + 5a – b = 5a + 5b
𝑂𝐶⃗
𝑂𝐴⃗
𝐴𝐶⃗
3a – a + 2b = 2a + 2b
𝐶𝐷⃗
𝑂𝐷⃗
𝑂𝐶⃗
5a + 5b – (2a + 2b) = 3a + 3b
3
So OC : CD = 2 : 3
4
46.7°
5
a)
Translation by vector
3
4
b)
6
a)
b)
c)
12
6
36
18
13.4
Cambridge O Level Mathematics Second edition
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1
Cambridge O Level Mathematics Second edition
Student Book answers
All answers were written by the authors. Cambridge Assessment International Education bears no responsibility for the
example answers to questions taken from its past question papers which are contained in this publication. In
examinations, the way marks are awarded may be different.
Review exercise 9
1
28
2
a)
b)
i)
ii)
3
q = 9 and p = 8
4
a)
2
b)
4
c)
2
d)
84°
5
ସହ
ଵ଺
ସହ
a)
b)
c)
6
ଶ଼
12
ଵ
ହ
a)
Class A
b)
Class A
Cambridge O Level Mathematics Second Edition
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