Cambridge International Mathematics

ANSWERS 691

Review set 20A

1a 0 : 87 b 1 : 109 2a$2900 b 58 : 5 kg 36 : 05 m

4aU 8845 b U 2745 5a$ 500 b 11 :1%

6a$12 b$68 7 180%increase 8 $38: 50

9 $53: 30 10 $15 000 11 5 :88%p.a.

12 ¼ 2 years 4 months 13 $1530 14 $24 845: 94

15 Plan 1: $2700, Plan 2: $2703: 67

) Plan 2earns more interest.

16 4 h 21 min 26 sec 17 a 105 km b 70 km/h

Review set 20B

1a 1 : 1 b 0 : 883 2a$ 3915 b ¼ 380 km

3aE 35 b 21 :2% 4aE 513 bE 436 : 05

5 $70 400 6 E 52 : 46 7 $365 911 8 $1768 9 $1200

10 4 : 2 years, i.e., 4 years 73 days

11 a $34 264: 87 b$9264: 87

12 aE17 271: 40 b E 9271 : 40 c 11 :6%p.a. 131300 km

14 a 325 km b 20 min

cJohnson: 87 : 5 km/h, Maple: 100 km/h d 88 : 6 km/h

15 $ 2465 : 75 16 6 :52%p.a. 17 75 km/h

CHALLENGE

1172 pages 210 hours 3 ¼ 2 : 21 billion beats

4 The manager breaks even. 5 add¼ 28 : 6 grams of salt

(^6249)
583
716
(^7141811)
15 5 4 10
2 16 9 7
3 12 13 6
(^8218)
2 9 4
8 8 1
EXERCISE 11A.1
1a 54 cm^2 b 121 : 5 cm^2 c 576 : 24 mm^2
2a 276 cm^2 b 6880 mm^2 c 8802 m^2
3a¼ 198 m^2 b¼ 496 cm^2 c ¼ 148 cm^2
4a 360 cm^2 b 340 m^2 c ¼ 9840 cm^2
5a 576 cm^2 b 384 m^2 c ¼ 823 m^261160 cm^2
7a 364 cm^2 b 72 : 8 ml 8 34 m^29167 : 4 m^2
EXERCISE 11A.2
1a¼ 207 cm^2 b¼ 339 cm^2 c ¼ 196 cm^2
d¼ 56 : 7 m^2 e¼ 124 m^2 f ¼ 79 : 5 cm^2
2a 64 ¼cm^2 b 60 ¼m^2 c 5 ¼(5 +
p
106)cm^2
3a¼ 5030 cm^2 b¼ 145 km^2 c ¼ 84 : 8 cm^2
4a¼ 1640 cm^2 b¼ 758 cm^2 c ¼ 452 cm^2
d¼ 942 m^2 e 603 cm^2
5 ¼ 18 : 1 cm^26 ¼ 207 cm^2735 spheres 8 ¼ 33 : 8 cm^2
9a¼ 5 : 64 m b¼ 21 : 8 cm c ¼ 25 : 8 m
10 a A=18x^2 bA=6x^2 +12x
cA=5x^2 +6x+x
p
5(x+2) d A=10¼x^2
eA=7¼x^2 +2¼x fA= (39 + 5
p
10)x^2
11 a A=2(ab+bc+ac) bA=ab+bc+ac+c
p
a^2 +b^2
12 A=^12 ¼r^2 +rh+^12 ¼r
p
h^2 +r^2
EXERCISE 11B.1
1a 8650 mm^3 b 86 cm^3 c 0 : 3 m^3
d124 000mm^3 e 0 : 3 cm^3 f 3 700 000cm^3
2 540 540coins 3 27 200cm^3
EXERCISE 11B.2
1a 385 m^3 b¼ 339 cm^3 c 320 cm^3
d 45 cm^3 e 704 cm^3 f 432 cm^3
g¼ 670 cm^3 h 32 cm^3 i ¼ 288 cm^3
j ¼ 125 m^3 k¼ 1440 cm^3 l ¼ 262 cm^3
2aV=Al bV=(a^2 ¡b^2 )c 3 ¼ 0 : 905 m^3
40 : 6 m^354500 m^360 : 9 m^371145 sinkers
81 : 79 m high 9 Area of end=2h£h¡^12 ¼r^2 , etc.
EXERCISE 11C.1
1aml b ml or cl ckl d litres
2a 680 ml b 376 cl c 37 : 5 cl d 47 : 32 kl
e 3500 litres f 423 ml g 54 litres h 0 : 5834 kl
315 jugs 4 1 092 000kl
EXERCISE 11C.2
1a 2300 cc b 800 cc c 1800 cc d 3500 cc
2a 25 ml b 3200 m^3 c 7320 litres
3a 22 : 05 kl b ¼ 23 : 6 kl c¼ 186 kl
4 ¼ 524 ml 5 368 bottles 612 : 7 cm 7 10 hours
81 : 06 cm 93 : 07 cm 10 3 h 27 min 11 every 24 min
EXERCISE 11D
1a 3 : 2 kg b 1870 kg c 0 :047 835kg
d 4 : 653 g e 2 830 000g f 63 200g
g 0 :074 682t h 1 700 000 000mg i 91 : 275 kg
254 kg 37500 cubes 4a 1 : 5 g/cm^3 b 0 : 973 g/cm^3
5 No, as there is 1887 cm^3 of flour and the capacity of the canister
is 1800 cm^3.
61 : 05 kg 772 kg
EXERCISE 11E
1a i 226 m^2 ii 385 m^3
biV=^83 ¼r^3 iir=9 iiir=8
2 ¼ 1410 kl 3a 2378 cm^3 b 6 kg
4a i¼ 183 cm^2 ii¼ 195 cm^3
bh¼ 8 : 96 cm c r¼ 2 : 80 cm d ¼ 13 : 6 cm
5a¼ 682 cm^2 b¼ 1410 cm^3 c ¼ 9 : 47 kg
6a iA=(4+3¼)a^2 +8ab iiV=a^2 (4b+¼a)
iii M=a^2 d(4b+¼a)
biA=5¼x^2 iiV=^53 ¼x^3 iiiM=^53 ¼dx^3
7acapacity=^43 ¼x^3 kl bx¼ 4 : 924
cA=¼(3 +
p
2)x^2 m^2 d¼ 255 o
8aV=

¡

1+¼ 4

¢

a^3 m^3

bbase is 6 : 05 mby 12 : 1 m with

a

2

¼ 3 : 03 m

cEach 4 m^2 of floor space has a ‘double bunk’ bed.

9 10891 cm

REVIEW SET 11A

1a 2 : 6 cm^3 b 8 m^3 c1 200 000cm^3

d 5600 ml e 0 : 25 kl f 56 ml

2a 34 cm^2 b 36 cm^2 c ¼ 51 : 8 m^231 : 24 cm

4a¼ 729 : 17 cm^3 b¼ 302 : 58 cm^3 c ¼ 37 : 70 m^3

5175 grams 6a 1 : 44 g/cm^3 b 0 : 317 g/cm^3

7a¼ 3850 cm^3 b¼ 3 : 85 litres c ¼ 2280 cm^3

IB MYP_3 ANS

cyan magenta yellow black

(^05255075950525507595)
100 100
(^05255075950525507595)
100 100
Y:\HAESE\IGCSE01\IG01_an\691IB_IGC1_an.CDR Tuesday, 18 November 2008 2:40:08 PM PETER