Answers - Pearson Global Schools

Mathematics B
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5 a
1_
6 ​ b 1_
6 ​ c 0 d 1
18 a HHH HHT HTH THH TTH THT HTT TTT
10
6
___
494 ​ 5 ___ 5
247 ​
b (i)
1_
8 ​ (ii) 3_
8 ​ (iii) 7_
8 ​
9
7 a 0 b
__
25 ​ c __ 16
25 ​ d __ 9
25 ​
​( t​ √ __
​5__
2 1
1
8 a
__
13 ​ b __ 2
13 ​ c 3_
4 ​ d __ 3
h
)​
26 ​
19 a e 5
_________
9 a
1_
8 ​ b 1_
2 ​ c 3_
4 ​ d 5_
​(
8 ​
t​ √ __
b
2_
3 ​
​5__
1 1 h
)​
b (i)
__ 1
12 ​ (ii) __ 7
36 ​ (iii) 5_
6 ​ (iv) 0
17 a
__ 3
26 ​ b __ 3
26 ​ c __ 11
26 ​ d __ 8
13 ​ b (i) 10 people (ii) 5 people (iii) 4 people (iv)
___ 20
d ​people
10 a RG GR GG b
1_
2 ​
20 BC common to both ns so SSS
Exercise 93* (Revision)
Exercise 94
7
1 a 2002,
__
10 ​; 2003, 3_
5 ​; 2004, 2_
5 ​
1 a 4 days b 2 days c 2​
2_
3 ​days
b Decrease in numbers from 2002 is suggested by the data
2 a 8 people b 16 people c 32 people
1
2 a
__
12 ​ b 3_
4 ​ c __ 11
36 ​
3 a 60 years b 15 years c 1200 years
1
3 a (i)
__
11 ​ (ii) __ 2
11 ​ (iii) 0
4 a 12 hours b 72 km/h
5 a 32 km/litre b 20 litres
2
b Z or U, __ 11
6
4 a
__
25 ​ b __ 19
25 ​ c __ 3
25 ​ d __ 9
25 ​
Exercise 94*
1 a
5 $45
Number of Power of each
b NP 5 3000
light bulbs (N) bulb (P)
6 HHH, HHT, HTH, HTT, THH, TTH, TTT, THT
a
1_
8 ​ b 3_
8 ​ c 1_
2 ​
6 500
25
7 a
__
28 ​ b 1_
6 ​ c 102
5 600
2 1500
8 a Pink Box
30 100
n s q
h hn hs hq
2 a 12 g/cm 3 b 1.5 cm 3
Blue Box h hn hs hq
3 Number of Number of Time in
q qn qs qq
men tunnels years
b (i)
5_
9 ​ (ii) 4_
9 ​
100 000 4 4
9 10
100 000 2 2
8
10
___
245 ​
20 000 8 40
400 000 2 0.5
Multiple choice 4
4 a 5 b 1000 c 2.26 3 10
1 D 2 A 3 B 4 C 5 A
tonnes
5 a 16 000 kg
6 D 7 A 8 A 9 C 10 D
b (i) 4 min (ii) 0.6 min (iii) 1 min (iv) 8 sec
Self-assessment 4
Exercise 95
1 $14 286 2 $22 727
.
1 0.375 2 0.08 3 0.28125 4 0.​2​
3 a 500 000 b < 500
. . . . ​
cd 1 ab
4 x 5 ab 2 Vg 5 x 5
______
a 1 c ​
5 0.​1​ ​8​ ​ 6 0.2​6​ ​ 7 0.3​8​ ​ 8
__ 9
12 ​
6 x 5 (PR) 2 9
__ 3
2 Q
20 ​, __ 5
64 ​ 10 1_
3 ​ 11 5_
9 ​ 12 7_
9 ​
7 a, b x 5 22.8 or 1.8 for both equations.
13
__ 7
90 ​ 14 __ 1
30 ​ 15 __ 5
90 ​5 __ 1
18 ​
y
Exercise 95*
10
. . . . . .
1 0.4​6​ ​ 2 0.04​6​ ​ 3 2.​3​ ​0​ ​ 4 0.3​0​ ​1​ ​
5
__ 11
16
5
__ 7
40 ​ 6 __ 19
20 ​, __ 3
25 ​, __ 5
64 ​ 7 __ 24
99 ​5 __ 8
33 ​ 8 __ 10
33 ​
9 9​ ___ 19
990 ​ 10 ___ 3
110 ​ 11 ___ 412
999 ​ 12 ___ 128
333 ​
13
__ 11
90
2 1 0 . .
___ 28
495​ 15 0.​0​ ​3​7​ ​
1 2 3 x
Exercise 96 (Revision)
1 a 2 days b 1 day c
1_
2 ​day
8 a x 5 13 b y 5 13.2
2 a 2​
1_
9 12.0 units 10 x 5 6​
2_
2
3​, y 5 22.5
1_
4 ​days c 1_
2 ​day
3
11 x 5 15, y 5 9 12 x 5 130°, y 5 25°, z 5 65°
Number of years, n Number of men, m
13 x 5 70°, y 5 55°, z 5 35° 14 x 5 130°, y 5 65°, z 5 115°
1 12 000
15 x 5 124°, y 5 34°, z 5 62°
2 6000
16 a
1 2 3 4 5 6
3 4000
1 2 3 4 5 6 7
4 3000
2 3 4 5 6 7 8
6 2000
3 4 5 6 7 8 9
12 000 4 m m
4 5 6 7 8 9 10
n
12 000 4 n
5 6 7 8 9 10 11
6 7 8 9 10 11 12
4 a (i) 2​
1_
2 ​days (ii) 1​ 1_
4 ​days (iii) 1 day (iv) 5__
​days p
22
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