Cambridge International Mathematics

734 ANSWERS

EXERCISE 25K

1a 11 bi^2950 ii^1140 2a 307 b 157

3a^1225 b 253 c 257 d^1219 4a 251 b 8 days

5a^57 b^1314 c 141 d 235 e 109

6a^2425 b 251 7a^18 b^38 8a^34 b^59

9a

bi 241 ii^18 iii 127

10 a 201 b^1920 c^3150 d^3950 e^1219 f^1778

(^113547)
REVIEW SET 25A
1a 39 days bi 391 ii^1139 iii^1939
23a¼ 0 : 885
b ¼ 0 : 424
c ¼ 0 : 376
d ¼ 0 : 421
4 The occurrence of either event does not affect the occurrence of
the other event.
5a 161 b^38 c 165
6a 0 : 72 b 0 : 02 c 0 : 98 d 0 : 18
7 16 8a^27 b^47
9a b i 101
ii^35
10
11 a^1320 b^15
c^45 d
e 139
REVIEW SET 25B
1a 0 : 364 b 0 : 551 c 0 : 814
2afAH, BH, CH, DH, AT, BT, CT, DTg
bi ii
3a 0 : 60
b 0 : 40
4a 143
bci^3391
ii^3691
5a^19 b^49 c^49 6a 201 b 103
7
a 361 b^1136 c^16 d^29
8
a 254 b^1225
c^15 d^25
9a¼ 0 : 707 b¼ 0 : 293 c ¼ 0 : 0467 d¼ 0 : 340
e ¼ 0 : 540
10 a ¼ 0 : 045 b¼ 0 : 124 c ¼ 0 : 876
d These probabilities add to 1 as the events are complementary.
EXERCISE 26A
1aStart with 5 and then add 3 successively to get further terms:
20 , 23.
b Start with 2 and then add 7 successively to get further terms:
37 , 44.
c Start with 8 and then add 11 successively to get further terms:
63 , 74.
d Start with 38 and then subtract 4 successively to get further
terms: 18 , 14.
e Start with 3 and then subtract 5 successively to get further
terms:¡ 22 ,¡ 27.
f Start with^12 and then add 112 successively to get further
terms: 8 , 912.
2aStart with 3 and then multiply each successive term by 2 : 96 ,
192.
b Start with 1 and then multiply each successive term by 2 : 32 ,
64.
c Start with 2 and then multiply each successive term by 5 :
1250 , 6250.
d Start with 36 and then multiply each successive term by^12 :
214 , 118.
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Y:\HAESE\IGCSE01\IG01_an\734IB_IGC1_an.CDR Friday, 21 November 2008 9:36:50 AM PETER