690 ANSWERS
Review set 19B
1a i 30 cm^2 ii 4 m^2 iii 60 ha b 62 rectangles
2 6 ha 3a 30 cm b 22 : 7 cm c 85 : 1 cm
4a 489 cm^2 b 121 m^2 c 25
p
3 ¼ 43 : 3 cm^2
5a^38 b 52 : 3 cm c 170 cm^2
6a 6 : 49 m b 132 m^2
7aA=³a+b
2́
h+bc bA=¡
4+¼ 2¢
x^2c A=¡
2 ¡¼ 4¢
x^2
8 ¼m, ¼ 2 ¡ 1 m^2
CHALLENGE
1 ¼ 9 :31% 2 3:2 6 8 cm^3
8 r=
25
¼+6
cm¼ 2 : 73 cmEXERCISE 10A
1a70% b26% c 12% d 5 :5% e200%
f 20% g5% h100% i 98% j 0 :3%
2a^34 =0: 75 b 1007 =0: 07 c 2003 =0: 015
d 135 =1: 6 e 110013 =1: 13
3a70% b15% c 3313 % d 2623 %
4 7 :85% 5aE 2541 b E254 100
6a 600 g b$1092 c 84 kg d 25 litres
e 18 : 7 tonnes f$16 469: 78
7 108 marks 8a 69 : 8 kg b 2 :05%loss
9a$ 345 b$ 4355 c 7 :34%
10 87 :5% 11 30 :4% 12 44% 13 21%
EXERCISE 10B.1
1 E 1 : 50 2 E 28 loss 3 $ 1862 profit 4 $120profit
5a i$2 ii$22 bi$200 ii $450
ci$ 7 : 50 ii$ 57 : 50 diE53 550 ii E308 550
6a iE 16 : 50 iiE 38 : 50 bi$ 61 : 25 ii$ 113 : 75
ci$26: 25 ii$78: 75 diE 1344 ii E 8256
7 $110: 40 8a$44: 80 b$115: 20 c$129: 60
EXERCISE 10B.2
1 38 :9% 2a$812: 50 b$377: 50 c 86 :8%
3a$1: 60 b$1: 25 c 78 :1%
4aE 470 b 32 :4%loss 5a$ 4600 b 25 :3%
6a$15 b 27 :3%
7a$140 300 b$32 800 c 23 :4%
EXERCISE 10C.1
1a$1734 b$1617: 19 2a$2891: 25 b E 5549 : 01
3a 6 :07%p.a. b 2 :80%p.a.
4a¼ 1 : 87 years=1year 45 weeks
b¼ 3 : 01 years=3years 5 days
EXERCISE 10C.2
1a$480 b$ 992 : 80 c $10 880 dE 434 : 14
2 The first one,$ 7000 compared with$ 7593 : 75 for the second.
3a 2 :67%p.a. b 6 :82%p.a. 47 :5%p.a.
5 10 :3%p.a. 6a 3 years 9 months b 6 years
7 ¼ 2 years 9 monthsEXERCISE 10D
1 75 marks 2620 students 340 kg 42250 m
5a$ 4700 b$ 235 6 140 000people 7 ¼ 1 : 247 m
8 $500 9 E 8400
EXERCISE 10E.1
1a 1 : 1 b 0 : 9 c 1 : 33 d 0 : 79 e 1 : 072 f 0 : 911
2a$84: 80 b$ 81 : 60 c 57 kg dE 22 : 95
e $ 655 : 20 f 31 : 5 m
3aE 26 per hour b 31 : 86 m c 2 : 61 cm
4a50%increase b 20%decrease c 15 :8%decrease
d 31 :1%increase e 25%increase f 18 :8%decrease
5 46 :7%increase 610 :6%decrease 77 :06%increase
8 2 :11%decrease 9 8%increase
EXERCISE 10E.2
1a$2880 b$ 2805 c E 3239 : 60 d$5170
2 False, e.g., $1000increased by10%is$1100,
$1100decreased by10%is$990, not$1000.
3 $86: 24 (including tax) 4 $ 180 : 79 5 E 78
6 $ 4428 : 74 7 E40 575 8 $40 279: 90 9 $55 163: 86
10 a 31 :8%increase b 16 :1%decrease c 21 :6%increase
11 16 :3% 12 20 :0%
EXERCISE 10F
1a$2977: 54 b $ 5243 : 18 c E11 433: 33
2aE 105 : 47 b$782: 73 c $ 4569 : 19
3a13 738: 80 Yuan b 1738 : 80 Yuan
4a$5887: 92 b $887: 92
5 1 st plan earns 3200 pesos, 2 nd plan earns 3485 pesos
) plan 2.
6a$1514: 44 b $15 886: 59
7a12%p.a. b 5 :5%p.a.
8aMolly’s, as it earns$44: 89 more.
b Max’s, as it earns$7471: 91 more.
9 ¼ 20 :6%p.a. 10 12%p.a.
EXERCISE 10G
1a 9 : 95 m/s b 35 : 8 km/h 2 15123 ¼ 152 km
3 3 : 39 seconds 413 : 8 km/h
5a 2 h 56 min 51 s b 54 min 33 s
6a 7 : 875 km b 5530 km
7a 9 km b 3 km/h 87 : 94 km/h 9 92 : 3 km/h
10 a 54 km/h b 3313 m/s
11 a 28 : 8 sec b 248 m
EXERCISE 10H
1a 1 : 8 km b 28 min ci 1 km ii 1 : 6 km
di 6 min ii 16 min e 3 : 86 km/h
2a 12 min b 80 km c 20 km
d A: 1 h 48 min, B: 2 h 12 min e 24 min
f A: 44 : 4 km/h, B: 36 : 4 km/h
3athe Smith family b the Reynolds family
c the Reynolds family d 2 hours e 112 hours
f 100 km
4aafter 2 min b 1 min c 3 min
d 2 km ebetween the 3 and 4 minute marksIB MYP_3 ANS
cyan magenta yellow black(^05255075950525507595)
100 100
(^05255075950525507595)
100 100
Y:\HAESE\IGCSE01\IG01_an\690IB_IGC1_an.CDR Tuesday, 18 November 2008 2:38:49 PM PETER