Cambridge IGCSE® Core
Mathematics Past exam
question answers
Cambridge International Examinations bears no responsibility for the example answers
to questions taken from its past question papers which are contained in this publication.
Chapter 1 Number and language
1 7.5
2 a) (i)
(ii)
b) (i)
(ii)
(iii)
c) (i)
(ii)
Any multiples of 10 such as 30, 50 or 70
30
6 or 9
27
23
9 is a squared number that is not even
2 and 3 are prime numbers and added together they make 5 which is
not even
(iii) 422, 80, √169, 25
Chapter 2 Accuracy
1 a)
b)
c)
2 a)
b)
330
1000
46.3
20 376
20 400
Chapter 4 Integers, fractions, decimals and
percentages
1
55 27 82
22
11
+
=
=2 =2
30 30 30
30
15
2
26 7 19 17
−
=
=
12 12 12 12
Chapter 5 Further percentages
1 87.5%
2 10%
Chapter 6 Ratio and proportion
1 a) $950
b) 7 chairs
c) $66
2 $100
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Cambridge IGCSE® Core Mathematics Past exam question answers
Chapter 7 Indices and standard form
1 0.852
2 a) 2.3 3 105
b) 0.00048
Chapter 8 Money and finance
1 a) $75
b) $3.81
2 a) (i) 70 Euros
(ii) 1.11 Yen
b) (i) $15
(ii) 1560 2 15.6 5 1544.4 CHF
c) $561.92
3 $41
Chapter 9 Time
1 a)
b)
c)
d)
e)
2 a)
b)
1.5 3 102
100 km/h
2 hours and 15 minutes
16.25
145 < d < 155
08 01
78.39 km/h
Chapter 10 Algebraic representation and
manipulation
1 a) 9x 2 10
b) 2x3 2 3x
2 8j 2 3k 2 8
Chapter 11 Algebraic indices
1 a)
b)
2 a)
b)
c)
p7
4q6
1
x10
p27
Chapter 12 Equations
1 x 5 27, y 5 9
2 x 5 13, y 5 29
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Cambridge IGCSE® Core Mathematics Past exam question answers
Chapter 13 Sequences
1 a)
Diagram 1
Diagram 2
b) 35
c) (i) n 1 2
(ii) n(n 1 2)
(iii) 440
2 a) Diagram
Diagram 3
Diagram 4
1
2
3
4
5
Number of black counters
1
4
9
16
25
Number of white counters
1
4
7
10
13
b) Square
c) (i) 22
(ii) 3n 2 2
d) (i) 20
(ii) 400
Chapter 14 Graphs in practical situations
1 a) (i)
(ii)
(iii)
b) (i)
10 minutes
Toni passes Poppy
18 km/h
and (ii)
Distance
from home
(km)
6
Sasha’s
home
5
b) (i)
4
Cafe
3
2
1
Home
0
10 00
b) (ii)
10 15
10 30
10 45
11 00
11 15
11 30
Time
(iii) 7.2 km/h
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Cambridge IGCSE® Core Mathematics Past exam question answers
2 a) 10 minutes
b) 15 10
c) 9 km/h
d)
Distance from
Lola’s house (km)
14
Sarah’s house 12
10
8
6
4
2
Lola’s house
0
14 00
14 30
15 00
15 30
16 00
16 30
17 00
17 30
Time
Chapter 15 Graphs of functions
1 a) (i) 2
(ii) y 5 2x 1 1
b) (i) x
23
y
7
22
21
0
1
2
3
2
21
22
21
2
7
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Cambridge IGCSE® Core Mathematics Past exam question answers
(ii)
y
B
8
7
6
5
4
3
2
1
−3
−2
−1
0
1
2
x
3
−1
−2
A
−3
−4
(iii) 21.5 to 21.3, 1.5 to 1.3
c) (21, 21) and (3, 7)
Chapter 16 Geometrical vocabulary
1 Triangular prism
Chapter 17 Geometrical constructions and
scale drawings
C
1 a) (i), (iii), (v) and (vi)
70
m
m
NOT TO
SCALE
T
60
40
m
m
mm
40º
A
B
78 mm
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Cambridge IGCSE® Core Mathematics Past exam question answers
(ii) 47°
(iv) 4 cm
b) (i) and (ii)
R
6 cm
Q
North
NOT TO
SCALE
8 cm
P
Scale: 1 cm − 5 km
(iii) 36 km
(iv) 265°
2 a), c) (i) and (ii), d) and e)
5c
m
A
P
10
cm
NOT TO
SCALE
12
cm
d
B
C
10.6 cm
b) 69°
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Cambridge IGCSE® Core Mathematics Past exam question answers
Chapter 18 Symmetry
1 a)
b)
c)
2 a)
b)
Rectangle or rhombus
Isosceles triangle
5
3
3
Chapter 19 Angle properties
1 a)
b)
2 a)
b)
Rhombus
131°
162°
Obtuse
Chapter 22 Perimeter, area and volume
1 a) 7850 cm2
b) 0.785 m2
2 123.84 cm2
Chapter 23 Coordinate geometry
1 a) 3
b) y 5 3x 2 2
c) y 5 3x
2 y 5 4x 2 3
Chapter 24 Bearings
1 a) (i)
(ii)
b) (i)
(ii)
2 287°
95.8 m
233°
20.6°
17.9 m
Chapter 25 Right-angled triangles
1 8.36 m
Chapter 26 Vectors
1 a) (21, 2)
b)
 4
 −5
c) (1, 5)
 2
2 a)  
 6
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Cambridge IGCSE® Core Mathematics Past exam question answers
b)
y
4
3
2
C
B
1
−3 −2 −1 0
−1
A
−2
1
2
3
4
5
6
7 x
−3
 4
c) (i)  
 −3
 −12
(ii) 
 4 
Chapter 27 Transformations
1 a) Translation
 0
 −6
b), c) (i) and (ii)
y
6
b)
5
4
A
3
C
2
1
−6 −5 −4 −3 −2 −1 0
−1
1
2
3
4
5
6 x
−2
B
D
−3
−4
−5
−6
2 a) (i) and (ii)
B
X
T
P
Y
A
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Cambridge IGCSE® Core Mathematics Past exam question answers
b) (i) Enlargement about origin, scale factor 2
 3
(ii) Translation by  
 5
Chapter 28 Probability
1 24 out of 30
2)
3
5
Chapter 29 Mean, median, mode and range
1 a) (i)
(ii)
b) 21
2 a) (i)
(ii)
(iii)
(iv)
18
17
0
1
1.6
6
5
Frequency
4
3
2
1
0
0
1
2
3
4
5
Number of hours
b) (i)
1
3
11
115
(ii)
(iii) 2.5
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Cambridge IGCSE® Core Mathematics Past exam question answers
Chapter 30 Collecting and displaying data
1 a) Negative
b) and c) (i)
50
English test mark
40
30
Mean
20
10
0
10
20
30
40
50
60
70
80
Mathematics test mark
(ii)
20
2 a)
× 360 5 160°
45
b) 144°
c)
Cycle
Walk
Bus
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