ANSWERS 1
EXERCISE A(^1) Number NZQR
19 XXXX
¡^23 £ £ X X
p
7 £ £ £ X
(^5) p: 6389 ££XX
16 X X X X
2 ¼ £££X
¡ 11 £ XXX
6
p^0 £ £ £ £
¡ 2 £ £ £ £
2a16 = 4^2 , 529 = 23^2 , 20 802 721 = 4561^2
b27 = 3^3 , 343 = 7^3 , 13 824 = 24^3
c
p
11 ¼ 3 : 32
11 ¥2=5: 5
11 ¥3=3: 6 So, 11 is a prime.
p
17 ¼ 4 : 12
17 ¥2=8: 5
17 ¥3=5: 6 So, 17 is a prime.
p
97 ¼ 9 : 85
97 ¥2=48: 5
97 ¥3=32: 3
97 ¥5=19: 4
97 ¥ 7 ¼ 13 : 8 So, 97 is a prime.
d 64 = 8^2 and 64 = 4^3
729 = 27^2 and 729 = 9^3
353 , 59 , 61 , 67
41 does not have two different factors.
5
p
263 ¼ 16 : 2
263 ¥2 = 131: 5
263 ¥3=87: 6
263 ¥5=52: 6
263 ¥ 7 ¼ 37 : 6
263 ¥ 11 ¼ 23 : 9
263 ¥ 13 ¼ 20 : 2 So, 263 is a prime.
EXERCISE B
1a 10 b 2 c ¡ 8 d 6 e 6 f 24
2a 37 b 43 c 3 d 24 e 6 f 19
g 12 h 10 i 6 j 16 k 20 l 2
3a 17 b 13 c 1 d 9 e 69 f 9
g 43 h 7 i 21 j 3 k 16 l ¡ 2
4a 4 b 21 c 13 d 92 e 10 f 15
g 108 h 4 i 7
5a 5 b 3 c^12 d 5 e 7 f 7
g 18 h 1 i ¡^14
6a 15 b 3 c ¡ 42 d¡^12 e 4 f 7
g 21 h 4 i 17 j 13 k 112 l^14
7a 438 b 874 c 33 d 8 e ¡ 1053
f 4 g¡ 6 h¡ 83 i ¡ 8 j 81 k¡ 81
l 20 :003 76
8a 4 : 75 m b$ 6 : 62 c 4510 km d 11 : 8 kg
e 75 hours
EXERCISE C
1a 1 , 2 , 5 , 10 b 1 , 2 , 4 , 8 , 16
c 1 , 2 , 3 , 6 , 9 , 18 d 1 , 17
e 1 , 2 , 3 , 4 , 6 , 9 , 12 , 18 , 36
f 1 , 2 , 3 , 6 , 7 , 14 , 21 , 42 g 1 , 2 , 4 , 8 , 16 , 32 , 64
h 1 , 2 , 4 , 5 , 10 , 20 , 25 , 50 , 100
2a 6 , 12 , 18 , 24 , 30 b 11 , 22 , 33 , 44 , 55
c 13 , 26 , 39 , 52 , 65 d 29 , 58 , 87 , 116 , 145
3a 3 b 4 c 6 d 13 e 1 f 5 g 9 h 24
4a 198 b 493 5a 306 b 8004
6a 24 b 24 c 42 d 72 e 30 f 28
g 30 h 36
7a 36 b 75 860 seconds
EXERCISE D
1a^1213 b^1116 c^58 d^1730 e 437 f 216 g (^312)
h (^616)
2a 114 b^16 c^19 d^58 e 134 f 1101 g (^156)
h 2212
3a^19 b^27 c 112 d 423 e 117 f^12 g (^614)
h (^21027)
4a 76 b^1116 c^23 d 101 e 123 f 359 g^49
h 1207
5a 5358 b 156 c 212 d^25 e 12 f 1111
g 423 h^12 i 116 j^35 k 235 l 101
m 11 n 114 o (^425)
6a 35 goals b$ 240 : 00 c 127 remains d 36 points
ei^23 iiE 610 : 00 f^14 g U7 560 000
7a 158 b^1321 c^1956 d 125 e^35 f 218
g^1235 h 2107 i 418 j 4285 k 1116
EXERCISE E
1a 2 , 4 , 8 , 16 , 32 , 64 , 128 , 256 b 3 , 9 , 27 , 81 , 243
c 4 , 16 , 64 , 256 d 5 , 25 , 125 , 625
2a 5 b 2 c 2 d 3 e 3 f 5 g 4
h 5 i 10 j (^112)
3a 4 b 2401 c 16 384 d 9 e 2 : 6
f 4 : 1 g 0 :571 787 h 0 : 71 i 1 : 05
j 84 : 64 k 1 :169 858 56 l 64 :363 43
EXERCISE F.1
1a7:11 b14 : 9
ci13 : 9 ii9:13iii 5:9iv 9:5
2a8:3 b 3:7 c 35 : 45 d300 : 50
e500 : 3000 f 400 : 2500 g9000 : 150
h12 : 8000 i 240 : 40
EXERCISE F.2
1a3:4 b 2:1 c1:3 d 3:5
e1:2 f 7:4 g1:2 h 3:4
i 5:4 j 1:2:3 k20 : 1 l 1:2:4
2a5:2 b3:7 c 3:2 d2:1 e 7:12
f1:4 g4:1 h 1:20
IB MYP_3 ANS
cyan magenta yellow black
(^05255075950525507595)
100 100
(^05255075950525507595)
100 100
Y:\HAESE\IGCSE01\IG01_AN\AssKnowNu-Pu\001IB_IGC1_akn_an.CDR Friday, 21 November 2008 10:08:22 AM PETER