Cambridge International Mathematics

732 ANSWERS

12 a Councillor Freq Rel Freq

Mr Tony Trimboli 2167 0: 361

Mrs Andrea Sims 724 0 : 121

Mrs Sara Chong 2389 0: 398

Mr John Henry 720 0 : 12

Total 6000 1

b ¼ 0 : 519

EXERCISE 25C

1a¼ 0 : 501 b¼ 0 : 519 c ¼ 0 : 272 d¼ 0 : 563

e¼ 0 : 416

2a Like Dislike §

Junior students 87 38 125

Senior students 129 56 185

§ 216 94 310

bi¼ 0 : 281

ii ¼ 0 : 416

iii ¼ 0 : 697

iv ¼ 0 : 597

3a¼ 0 : 863 b¼ 0 : 137 c ¼ 0 : 333 d¼ 0 : 0344

e¼ 0 : 436 f¼ 0 : 0633 g¼ 0 : 691

EXERCISE 25D

1 65 days 213 of them 3a 0 : 36 b 26 backs

4 125 of them 5a 100 b 200 c 400 d 500

6a^14 b 75 times

7a 0 : 11 bi 3140 points ii 31 : 4 points

EXERCISE 25E

1afA, B, C, Dg b fBB, BG, GB, GGg

c fABCD, ABDC, ACBD, ACDB, ADBC, ADCB, BACD,

BADC, BCAD, BCDA, BDAC, BDCA, CABD, CADB,

CBAD, CBDA, CDAB, CDBA, DABC, DACB, DBAC,

DBCA, DCAB, DCBAg

dfGGG, GGB, GBG, BGG, GBB, BGB, BBG, BBBg

eifHH, HT, TH, TTg

iifHHH, HHT, HTH, THH, HTT, THT, TTH, TTTg

iii fHHHH, HHHT, HHTH, HTHH, THHH, HHTT, HTHT,

HTTH, THHT, THTH, TTHH, HTTT, THTT, TTHT,

TTTH, TTTTg

2a b

cd

3a b

cd

e

4

EXERCISE 25F

1afODG, OGD, DOG, DGO, GOD, GDOg

bi^16 ii^13 iii^23 iv^13

2a^1743 b 435 c^2443 d^1943 e^1943 f^1724 g 175

3a^14 b^14

c^12 d^34

4a

b 10 outcomes ci 101 ii 103 iii^25 iv^35

5 fABK, AKB, BAK, BKA, KAB, KBAg

a^13 b^13 c^13 d^23

6afGGG, GGB, GBG, BGG, GBB, BGB, BBG, BBBg

bi^18 ii^18 iii^18 iv^38 v^12 vi^78

7a^38 b^1924

8afPQRS, PQSR, PRQS, PRSQ, PSQR, PSRQ, QPRS, QPSR,

QRPS, QRSP, QSPR, QSRP, RPQS, RPSQ, RQPS, RQSP,

RSPQ, RSQP, SPQR, SPRQ, SQPR, SQRP, SRPQ, SRQPg

bi^12 ii^12 iii^12 iv^12

9a b i 181 ii^16

iii^1136 iv^59

v^14 vi^16

10 a 154 b 103 c 107

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Y:\HAESE\IGCSE01\IG01_an\732IB_IGC1_an.CDR Friday, 21 November 2008 9:07:05 AM PETER