Page 37 - ACE YR IGCSE A TOP APPR' TO MATHS

7 7 : 6 : 3
A = 3000 × 24 7
= 875 36000 × 6 = 42000 [3]
5 16
B = 3000 × 24 (ii) 36000 × = 96000 [2]
= 625 100 6
12 (b) 36000 × = 28800 [2]
C = 3000 × 24 125
10
= 1500 [3] (c) 36000 = 25000(1 + R)
36000
5 ( 25000 ) 0.1
(ii) $1000 ÷ = $4800 R = – 1
24
30 = 0.0371
$4800 ÷ = $16000 [2] = 3.71% [2]
100
35000 – 28500 (d) Number of children = 36000 × 3 =18000
(b) × 100% 6
35000 Number of secondary students = 18000 × 0.52
= 18.57% [1] = 9360
4 Price of the car = $20000 × 0.4 (i) Number of boys = 9360 × 0.4 = 3744
= $8000 Number of girls = 9360 × 0.6 = 5616 [2]
Money she received from selling off her car 3744
= $8000 × 0.75 (ii) 96000 × 100%
= $6000 = 3.9% [1]
Amount invested in the bank 7 (a) (i) 1.35 p.m. + 12.5 h – 8 h = 6.05 p.m. (Sunday)
= $20000 × 0.6 [2]
= $12000 12000 km 12000 × 1000 m
Interest (ii) 12.5 h = 12.5 × 60 × 60 s
= $12000 × 0.045 × 2 800
= $1080 = 3 m/s or 266.67 m/s [2]
Total amount she withdrew from the bank 3
= $1080 + $12000 (b) (i) £18.50 × 5 = £11.10 [1]
= $13080 (ii) Business class ticket
Penerbitan Pelangi Sdn Bhd. All Rights Reserved.
Percentage of the money left
8
13080 + 6000 = £18.50 × 5 × 55%
= × 100% = 95.4% [6] = £16.28
20000
5 (a) Number of tickets sold Difference in price
= 400 × 0.76 = £16.28 − £11.10
= 304 = £5.18 [2]
Money received (c) Time = 1.5 km + 280 m
= (80 × $150) + (304 – 80)($300) 100 km/h
= $12000 + $67200 = 0.0178 h
= $79200 = 64.08 s [2]
= 7.92 × 10 4 [3] (d) Let time = t
(b) (i) 117000 = 150y + (400 – y)300 [1] 14 = (3.50t) × 0.8
(ii) 117000 = 150y + 120000 – 300y t = 5 h [2]
150y = 3000 8 (a) $6.90 × 3729 = $25730.10
y = 2 [2] = $25700 [1]
(c) (i) Wages (b) 3729 × 1 =3300 [2]
3 13 1.13
= 1.03 × 10 × 4 × 25 5
6
= $401700 [2] (c) 3510 × 18 = 975 [2]
(ii) Profit 1
1 (d) (3729 + 3300 + 3510) × = 1171 [2]
= 1.03 × 10 × 4 9
6
= $257500 (e) Total percentage of fashion content
Interest received 3
= 257500 (1 + 0.05) – 257500 (100% – 15%) × 41 17 %
3
= $40588 [2] =
3 100%
6 (a) (i) 1.75 : 150% : 4 = 35%
7 3 3 Advertisement = 15%
: : Fashion = 35%
4 2 4

Answers 157

Answers.indd 157 15/03/2022 11:08 AM