Chapter 2 Chapter 2 Exercise 1 1. a 8 b 42 c 0 12 2. a 15 b + 10 c 10 d 115 3. 10 m 4. a 64 or 65 b 64 or 65 c 67 or 68 5. a 81 BC b 1 BC Chapter 2 Exercise 2 1. a 15 C b 10 C c 8 C d 3 C e 30 C f 13 C 2. a 8 (u) b 9 (u) c 7 (d) d 30 (u) e 43 (d) f 56 (d) 3. a 2 C b 8 C 4. a 3 C b 1 C c 5 C d 16 C Chapter 2 Exercise 3 1. a 12 b 1 c 1 d 3 e 2 f 6 g 1 h 1 i 3 j 8 k 7 l 2 m 2 n 5 o 9 p 17 q 13 r 14 s 1 6 t 3 1 u 5 v 11 w 9 8 x 14 6 2. a 4 b 1 c 4 d 11 e 2 f 0 g 7 h 6 i 2 j 1 k 6 l 1 6 3. a Bill b by 2 Chapter 2 Exercise 4 1. a 5 b 9 c 14 d 22 e 1 f 4 g 11 h 1 i 45 j 18 k 0 9 l 3 9 2. a 10y b 7w c 5t d g e 2p f 10c g h h 17k 3. a 23 b 7 c 2 d 0 e 4 f 9 g 46 h -x i 0 j 9e k 3 1 l 22h m 7 Chapter 2 Exercise 5 1. a 15 b 16 c 35 d 55 e 45 f 1 g 64 h 100 i 5 j 4 k 8 l 13 m 150 n 1 o 792 p 1 2. a 2 b 9 c 24 d 3 e 10 f 6 g 30 h 2 3. a 10 b 9 c 20 d 6 e 28 f 9 g 2 h 7 5 4. a 12 b 25 c 14 d 84 e 60 f 96 g 1000 h 3000 i 3 j 3 k 4 l 20 m 4 n 12 o 5 5 p 10 25 5. a 9 b 2 c 2 d 5 e 40 f 3 g 16 h 3 i 60 j 48 k 16 l 8 m 64 n 5 o 206 p 24 Chapter 2 - Revision Exercise 1. a 18 b 72 c 58 2. a 44 or 45 b 22 or 23 BC 3. 12 C 4. 43 5. a 2 b 2 c 9 d 5 e 6 f 78 g 3 h 6 i 16 j 1 k 6 l 25 m 32 n 30 o 120 p 7 q 9 r 4 s 5 t 6 6. a 18 b 4 c 24 7. a 2a b 44g c 0 d b + 3c e 8h 5k f 0 Level F Homework page 1 ANSWERS
Chapter 3 Chapter 3 Exercise 1 1. a 123 b 46 c 58 d 65 e 44 f 111 2. a b 53 127 127 53 53 127 108 72 108 120 72 60 120 60 Chapter 3 Revision Exercise 1. a b c 15 140 25 100 80 62 118 46 46 88 92 c d 48 38 80 62 e 144 36 132 48 77 103 36 144 144 36 48 55 77 35 145 112 68 145 35 68 112 77 35 68 68 35 77 2. a 5 b 7 c 9 3. a 120 b 135 c 144 4. a 72 b 30 c 18 5. a pentagon b equil. triangle 6. a 120 b 150 c 60 d 75 e 45 f 135 g 37 5 h 82 5 Chapter 5 Chapter 3 Exercise 2 1. a pentagon b hexagon c heptagon d octagon e nonagon f decagon 2. a 108 b 140 c 162 3. a 72 b 40 c 36 4. a octagon b hexagon Chapter 3 Exercise 3 1. a 360 b 12 c 60 2. a 30 b 90 c 150 d 120 e 90 f 30 3. a 45 b 135 c 135 d 165 e 105 f 75 Chapter 5 Exercise 1 1. a 6 12 18 24 30 36 42 48 b 13 26 39 52 c 20 25 30 35 40 d 84 91 98 105 2. a 3 6 9 12 15 18 21 24 27 30 33 36 b 4 8 12 16 20 24 28 32 36 40 c 12 24 36 d 12 (not including 0) 3. a 20 b 30 c 14 d 60 e 12 f 60 g 105 h 168 4 a 20 b 16 4. a 37 5 b 97 5 5. 27 5 Level F Homework page 2 ANSWERS
Chapter 5 Exercise 2 1. a 1 2 5 10 b 1 3 5 15 c 1 23 2. a 1 2 3 4 6 12 b 1 2 4 5 10 20 c 1 2 4 d 4 3. a 2 b 8 c 4 d 15 e 16 f 3 g 7 h 1 4. 3 Chapter 5 Exercise 3 1. a only 2 factors b more than 2 factors c only has 1 factor 2. a 23 29 b 41 43 47 c 97 d 101 103 107 109 113 3. a 2 11 47 b 4 16 39 1005 4. a even b 7 c even d already has 2 factors Chapter 5 Exercise 4 1. a 2 x 3 x 3 b 2 x 2 x 2 x 5 2. a 2 x 2 x 3 b 2 x 3 x 5 c 2 x 2 x 2 x 2 x 2 d 3 x 5 x 5 e 2 x 2 x 5 x 5 f 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 g Prime h 3 x 5 x 7 i 3 x 17 Chapter 5 RevisionExercise 1. a 32 40 48 56 b 81 84 87 90 93 96 99 2. a 12 b 40 c 21 d 6 e 45 f 60 3. a 1 2 3 6 9 18 b 1 29 c 1 2 4 8 16 32 4. a 3 b 25 c 4 5. a 11 13 17 19 b 61 67 c 83 89 6. a 3 x 11 b 5 x 5 x 5 c 2 x 2 x 2 x 3 x 3 x 5 Chapter 7 Chapter 7 Exercise 1 1. 3 9 x 10 4 2. a 4 8 x 10 3 b 6 78 x 10 3 c 3 1 x 10 4 d 3 52 x 10 4 e 5 435 x 10 4 f 9 7 x 10 5 g 4 87 x 10 5 h 1 091 x 10 5 i 4 4 x 10 6 Chapter 7 Exercise 2 1. a 4 9 x 10 4 b 5 47 x 10 5 c 2 34 x 10 5 d 6 6 x 10 2 e 1 482 x 10 3 f 9 x 10 3 g 7 x 10 4 h 1 68 x 10 6 i 4 73 x 10 7 2. a 7000000 7 x 10 6 b 2500000 2 5 x 10 6 c 9190000 9 19 x 10 6 d 4500000 4 5 x 10 6 e 17000000 1 7 x 10 7 f 27000000 2 7 x 10 7 g 2800000 2 8 x 10 6 Level F Homework page 3 ANSWERS
h 1970000 1 97 x 10 6 i 12500000 j 15500000 1 55 x 10 7 k 5714000 5 714 x 10 6 l 5250000 5 25 x 10 6 m 6750000 6 75 x 10 6 3. Pacific 1 6538 x 10 8 Atlantic 8 221 x 10 7 Indian 7 36 x 10 7 Med 2 51 x 10 6 Clyde 2 13 x 10 3 Ness 5 6 x 10 1 Eng Channel 1 036 x 10 5 4. 2 5 x 10 5 5. 3 1629 x 10 7 Chapter 7 Exercise 3 1. a 38000 b 750 c 324000 d 6470 e 14780 f 30 g 9000000 h 2900000 i 60140 j 70000000 k 53700000 l 888800000 2. F 15250000 W 5750000 N 875500 C 32850 McC 100 40 3. a 920000 b 347000000 c 142000000000 4. a 1000000000 b 1 x 10 9 Chapter 7 Exercise 4 1 25 x 10 7 1. a 3 x 10 3 a 7 4 x 10 5 c 2 86 x 10 2 d 6 x 10 6 e 4 82 x 10 4 f 2 87 x 10 1 g 3 93 x 10 3 h 7 x 10 5 2. a 0 051 b 0 00036 c 0 00274 d 0 0000506 e 0 32741 f 0 004 g 0 00007 h 0 000008009 3. More 4. a 0 037 b 0 000709 c 0 1001 5. a 0 042 b 7800000 c 0 000801 d 9021 6. a 3 x 10 3 b 5 47 x 10 3 c 3 9 x 10 4 d 2 15 x 10 7 Chapter 7 Revision Exercise 1. a 4 x 10 2 a 8 x 10 3 c 1 65 x 10 4 d 5 x 10 6 e 1 89 x 10 6 f 3 25 x 10 6 g 7 x 10 4 h 1 68 x 10 6 i 4 73 x 10 7 2. a 24000 b 620 c 736100 d 90000000 3. a 2000000000 b 2 x 10 9 4. a 5 x 10 2 b 9 2 x 10 5 c 2 74 x 10 2 d 2 x 10 6 e 1 75 x 10 4 f 3 68 x 10 1 g 1 81 x 10 3 g 9 x 10 5 5. a 0 039 b 0 00021 c 0 00497 d 0 0000702 e 0 32748 f 0 005 g 0 00009 h 0 000003007 Level F Homework page 4 ANSWERS
Chapter 11 Chapter 11 Exercise 1 1. a 3y b 2a c 12e d 5t e 0 f 11y + 9f g 8r + 6s h h u i w + 5x + 2y 2. a 5y b 4e c 7h d g 2 e k 2 f 6a 2 g 5t 2 h 36k 2 i 24p 3 3. a 1 b 4 c 1 d 29 e 2 f 9 4. a 2 b 23 c 50 Chapter 11 Exercise 2 1. a 3x + 6 b 4t + 16 c 5a 5 d 10w 20 e 4a + 2 f 12e + 15 g 14g 7 h 45k 27 i 6a + 3b j 5x + 10y k 16h + 32g 8 l 15v 45w + 15y 75 2. a 2a 6 b 30 10c c 15 + 12g d 4a + 6 e x 2 + 4x f 2t 2 5t g 5p 2 2p h 3k - 6k 2 + km i 6y 2 + 2y j 12x 2 28x k 14w - 6w 2 l 24p 2 + 8p 4pk 3. a 3x + 12 b 12x 4 c 42x + 18 Chapter 11 Exercise 3 1. a 2x + 7 b 3y + 17 c 7k + 3 d 5t 15 e 6g + 20 f 18x g 24e - 11 h 36h + 3 i 4 2. a 5f + 9 b 11y + 15 c 8b + 8 d 14g 2 e 2p + 16 f 2q + 41 g 21m 28 h 1 i 8u 2 + 29u 3. a 4y 3 b 6b c 12 6u d 8 e h + 5 f 0 4. 9x + 14 Chapter 11 Exercise 4 1. a 2 b 12 c 9 d 10 e 11 f 2 g 2 h 14 i 0 j 16 k 14 l 0 m 1 n 5 o 3 p 9 2. a 2 b 3 c 9 d 7 e 13 f 16 g 2 h 11 i 1 / 2 j 24 k 5 l 21 Chapter 11 Exercise 5 1. a 3(a + 2) b 4(2g 5) c 5(2y + 5x) d a(b + 4) e 2k(g + p) f 3b(2 + 3b) 2. a 2(a + 2) b 3(x + 4) c 5(k 8) d 6(p + q) e 3(4x + 5) f 8(2y + 3) g 3(8k 5) h 3(3a + 7b) i 3(x + 3y + 2) j 2(2d + 3e + 5f) k 6(2w + 5h 3) l 15(q 3p + 5m) 3. a 3b(a + 7) b 3c(4d + 5) c 6pq(5r 4) d x(5 15y + z) e x(x + 4) f 3y(y + 2) g 4x(2x + 1) h y(12 y) i x(x + 1) j 4x(3x + 1) k x(x2 + 1) l y(y 2 + y + 1) Level F Homework page 5 ANSWERS
Chapter 11 Revision Exercise 1. a 7x b x c 8k d 10p e 10g f 3t 2 g 12p 2 h 24k 3 2. a 3x + 120 b 6y 18 c 18x + 36 d 36b 60 e a 2 + a f 6k 2 12k g 12g 6g 2 h 4w + 3w 2 3. a 3x + 7 b 8y + 5 c 6e d 1 + 8t e 3x 2 f 24y 3y 2 g 8b + 3 h 2a i a 2 + 5a 4. a 3 b 10 c 21 d 12 e 14 f 3 g 96 h 1 5. a 3(x + 2) b 2(2y 5) c 7(2p 3) d a(b + c) e 4x(3y + 1) f 3xy(5z 1) g m(5m + 1) h 2b(8b 2 + 3b + 14) Chapter 13 Chapter 13 Exercise 1 1. a 90 b 9 / 100 c 9 / 10 d 9 / 1000 2. 4 06 3. 0 36 4. 3 13 8 97 5. a 6 5 b 8 4 c 25 5 d 28 0 6. a 137 53 kg b 5 75 kg 7. a 0 0348 g b 340 cm 8. a 35 4 b 120 4 c 38 88 d 129 51 e 2 9 f 17 6 g 45 9 h 35 2 Chapter 13 Exercise 2 1. a 66 62 b 24 625 c 23 827 d 12 513 e 0 074 f 0 024 g 79 42 h 48 286 i 14 271 2. 1 58 pounds 3. a 7 7 b 2 2 4. a 7 188 b 8 313 c 2 273 + 1 982 5 217 3 684 9 170 3 096 + 6 619 12 576 5. a 6 2 b 0 1 c 6 6 d 1 19 e 1 575 f 0 068 g 0 3 h 1 85 i 7 j 11 83 k 3 95 l 0 86 Chapter 13 Exercise 3 1. a 1 8 b 7 2 c 6 d 150 e 30 f 81 g 540 h 2100 2. a 6200 oz b 248 oz c 4340 oz d 18600 oz 3. a 3 68 b 32 20 c 184 d 2300 4. a 4 8 b 6 4 c 1 8 d 5 6 e 6 f 22 5 g 60 h 63 Chapter 13 Exercise 4 1. a 2 3 b 1 5 c 0 6 d 0 8 e 0 6 f 0 7 g 0 8 h 0 5 i 0 9 j 0 7 k 0 7 l 0 7 m 0 0011 n 0 0016 o 0 0019 p 0 0009 2. 0 23 g 3. 0 17 km 4. a 3 7 b 1 3 c 0 9 d 0 7 e 0 7 f 0 8 g 0 9 h 0 004 9. 17 25 Level F Homework page 6 ANSWERS
Chapter 13 Exercise 5 1. a 4 8 b 48 c 480 d 4800 e 0 48 f 0 048 g 0 0048 h 0 00048 i 0 49 j 0 027 k 0 009 l 0 0042 m 2400 n 0 2 o 0 06 p 9 6 q 4200 r 32 s 105 t 1200 2. 28 3. 3 / 4 cm 4. a 0 0009 b 0 0042 c 0 0072 d 0 002 e 0 56 f 0 0008 g 0 0008 h 0 000027 Chapter 13 Exercise 6 1. a 20 b 40 c 250 d 3 e 9 1 f 31 9 g 200 h 130 i 90 j 5 k 5 8 l 0 6 m 0 09 n 0 008 o 0 09 p 0 07 2. 1 57 mb 3. a 40 b 200 c 500 d 8 4. a 0 0014 kg b 1 4 g 5. a 50000 b 1 8 c 0 9 d 0 1 Chapter 13 Exercise 7 1. a 5 1 b 7 9 c 8 74 d 6 35 e 4 891 f 3 292 g 47 999 h 4 000 2. a 10 81 b 389 46 c 0 54 d 2 29 3. a 0 637 b 2 58 c 12 441 d 0 178 e 0 8 f 0 1157 4. a 1 55 b 9 32 4. a 310 b 5200 c 49 d 0 0033 5. a 9810 b 72100 c 0 287 d 0 0200 6. 16900 ml 7. 15 11 8. 70 kg Chapter 13 Exercise 9 1. 55 35 2. a 17978 80 b 2138 80 3. 266 10 4. a 18 72 b 93 60 5. 32 50 Chapter 13 Revision Exercise 1. 3 33 2. a 3 3 b 9 3 c 27 4 d 0 3 e 67 0 3. a 142 36 kg b 2 4 kg 4. a 61 2 b 205 6 c 0 76 d 4 27 e 9 f 20 g 36 h 36 i 0 9 j 0 8 k 0 0015 l 0 4 5. 1 78 pounds 6. a 2 33 b 3 94 7. a 6 3 b 32 c 0 028 d 120 e 20 f 7 g 6 4 h 0 9 8. a 7 3 b 4 54 c 6 287 d 58 000 9. a 3000 b 46000 c 128 d 0 00025 10. a 96 75 b 473 Chapter 13 Exercise 8 1. a 3 b 3 c 3 d 1 2. a 3 b 3 c 4 d 3 e 4 f 3 g 2 h 2 3. a 50 b 3000 c 0 3 d 0 0008 Level F Homework page 7 ANSWERS
Chapter 17 Chapter 17 Exercise 1 1. a 6 b 55 c 2 9 d 12 9 2. a 6 b 28 c 9 d 12 3. a 1 b 2 c 2 3 d G 4. a 54 b 9 c 2 1 5. a 20 19 28 20 b 53 56 66 67 c 39 8 41 NONE 16 6. a 945 kg 7. 8 Chapter 17 Exercise 2 1. a Freq = 2 9 2 6 4 4 2 4 b 33 c 20 2. a 0-4 b Freq = 3 6 10 11 7 3 3. a/b/c Various Chapter 17 Exercise 3 1. a Total Freq = 40 fx = 0 2 22 48 36 Total = 108 b 40 c 108 d 2 7 2. a 30 in each class b 16 9 and 15 7 c 17 & 16 3. a Table with 4 @ 13, 6 @ 14, 9 @ 15, 10 @ 16, 11 @ 17. b i 17 ii 4 iii 15 45 iv 16 Chapter 17 Exercise 4 1. a Cum Freq = 3 15 51 119 159 171 172 b Week 5 c Week 4 2. a Cum Freq = 1 5 17 28 36 42 42 Median = 3 b Cum Freq = 2 5 10 25 43 49 51 Median = 4 c Cum Freq = 3 6 18 34 49 73 108 Median = 15 Chapter 17 Exercise 5 1. a Angles = 40 60 120 140 b Drawing 2. a Angles = 120 60 72 108 Drawing b Angles = 40 60 240 20 Drawing 3. Angles = 80 130 50 40 60 Drawing Chapter 17 Exercise 6 1. a Various eg 2/4 = 24 b 12 12 16 19 20 24 25 26 30 31 31 31 32 34 42 50 53 c 12 d 31 e 30 2. a b 17 c 5 30 3. a 1 0 1 4 7 2 1 3 4 9 3 2 2 2 3 8 9 4 0 5 0 3 d 3 20 e 2 93 2 0 3 3 5 6 6 6 6 7 7 7 8 9 9 9 3 0 0 5 5 7 9 4 2 2 2 2 2 3 4 5 6 7 5 0 1 2 9 6 0 Key eg 3/5 = 35 Mode 42 Median 35 b 0 9 0 7 1 0 3 8 1 1 2 5 9 1 2 0 3 3 3 3 3 6 9 1 3 1 3 6 9 1 4 1 4 1 5 0 1 3 3 1 6 2 6 Key eg 1/23 = 1 23 Mode = 1 23 Median 1 26 Level F Homework page 8 ANSWERS
Chapter 17 Exercise 7 1. a +ve b ve c +ve d neither e ve 2. a Bob 4/100 cm Mat 4/105 cm Alf 6/105 cm Una 7/110 cm Tim 9/120 cm Nick 10/110 cm Paul 11/118 cm b +ve c See diagram d i 110 115 cm ii 12 14 3. a See graph b See graph Chapter 17 Exercise 8/9 1. a No Chance 0 b Definite 1 c 50/50 1 / 2 d Various 2. a 1 / 2 b 1 / 5 c 2 / 5 d 3 / 10 3. a 3 / 40 b 9 / 40 c 3 / 10 d 3 / 8 e 1 / 40 f 7 / 10 g 3 / 5 h 0 4. H T (or T H) Chapter 17 Exercise 10 1. a most will say yes b most will say no c will say no 2. Various 3. Discrete = Countable No. people in class Continuous = Measurable Size of feet 4. Survey Chapter 17 Revision Exercise 1. a Mean 19 Median 17 Mode 12 Range 20 b Mean 6 Median 5 5 Mode 1 Range 12 c Mean 5 7 Median 5 75 Mode 7 3 Range 3 7 d Mean 9 4 Median 10 45 Mode 13 7 Range 12 2. 20 80 3. Various 4. a 31 b 2 58 c 3 books d Cum freq = 1 4 15 24 31 5. July 54 Dec 126 Aug 90 6. a May 54 Oct 36 b 16 and 23 c 15 5 7. a See graph b 75 80 8. 1 / 3 9. a 1 / 2 b 9 / 100 c 1 / 10 Chapter 19 Chapter 19 Exercise 1 1. a 1 / 2 b 1 / 4 c 3 / 4 d 1 / 3 e 2 / 3 f 1 / 10 g 1 / 5 h 7 / 10 i 4 / 5 j 9 / 10 2. a 3 40 b 14 c 1 30 d 16p e 1050 f 6 g 36p h 9p i 15p 3. a 9 / 25 0 36 b 9 / 20 0 45 c 2 / 25 0 08 d 11 / 100 0 11 e 1 / 8 0 125 4. a 3 / 20 b 3 / 10 c 1 / 25 d 24 / 25 e 11 / 50 5. a 80% b 18% c 75% d 10% 6. a 3 64 b 31 20 c 2 10 7. 91 0 0 1 1 2 2 4 5 6 9 9 1 0 1 1 2 2 3 5 5 6 6 6 7 7 8 8 9 9 2 0 1 2 3 3 3 4 5 6 Level F Homework page 9 ANSWERS
Chapter 19 Exercise 2 1. 1 35 2. 17 85 3. a 72 10 b 592 10 c 1433 50 d 74200 4. 28 80 5. 2006 6. 4200 Chapter 19 Exercise 3 1. a 25% b 40% c 2% d 0 5% 2. a 50% b 33 1 / 3 %c 6 5% d 12 5% 3. 6 5% 4. 18% 5. 64% 5. a 50% b 33 1 / 3 % c 8% d 80% 6. 12 5% 7. 120 Chapter 23 Chapter 23 Exercise 1 1. a A = L x B 2. a 120 cm 2 b 99 m 2 c 3 5 mm 2 3. length x breadth then half your answer. 4. a 40 m 2 b 26 mm 2 c 60 5 cm 2 5. a 34 m 2 b 22 m 2 c 35 m 2 Chapter 23 Exercise 2 6. 450% 1. A = 1 2 x base x height Chapter 19 Exercise 4 1. 60 2. 80 3. 1 25 4. 130000 5. a 6 b 460 2. a 12 m 2 b 60 m 2 c 75 cm 2 3. A 4. 19 m 2 5. a 4 b 4 8 Chapter 23 Exercise 3 Chapter 19 Revision Exercise 1. A = 1 2 x diagonal x diagonal 1. a 3 / 10 0 3 b 1 / 3 0 3333... c 12 / 25 0 48 d 7 / 100 0 07 e 7 / 8 0 875 2. a 27 b 21 c 2 10 d 30p e 380 f 7 g 16p h 12p i 1 2. a 100 cm 2 b 17 5 cm 2 c 187 5 mm 2 d 25 cm 2 e 42 cm 2 f 460 cm 2 3. 108 cm 2 4. 2450 cm 2 5. 49 cm 3. 80% 4. 33 21 Level F Homework page 10 ANSWERS
Chapter 23 Exercise 4 1. A = base x height 2. a 30 cm 2 b 120 cm 2 c 75 cm 2 3. 32 cm 2 4. 12 5 cm 5. 600 cm 2 Chapter 23 Exercise 5 Chapter 29 Exercise 2 1. 25 cm 2. a 8 cm b 0 5 cm c 19 cm 3. a 22 cm b 11 cm 4. 1 25 cm 5. a 6 37 cm b 3 14 cm 1. A = 1 2 x (sum of parallel sides) x height Chapter 29 Exercise 3 2. a 156 cm 2 b 300 cm 2 c 160 cm 2 3. 2 1 m 2 4. 640 cm 2 5. 20 cm Chapter 23 Exercise 6 1. 120 cm 2 2. 108 cm 2 3. 75 cm 2 4. 20 cm 2 5. 132 cm 2 6. 152 25 cm 2 Chapter 23 Revision Exercise 1. a 30 m 2 b 10 m 2 c 500 mm 2 d 80 cm 2 e 750 cm 2 f 2812 5 cm 2 g 48 cm 2 h 1625cm 2 i 140 cm 2 2. a 44 m 2 b 12 m 2 3. a 2 5 cm b 10 m c 12 m 1. 78 5 cm 2 2. a 314 cm 2 b 1589 625 mm 2 3. 66 4 m 2 4. 2 54 m 2 5. 226 08 cm 2 Chapter 29 Exercise 4 1. a 100 48 m 2 b 153 86 cm 2 2. a 179 25 cm 2 b 456 96 m 2 3. 60 445 cm 2 4. 86 cm 2 5. 9 62 m 2 Chapter 29 Revision Exercise 1. 20 41 cm 2. 150 7 cm Chapter 29 Chapter 29 Exercise 1 1. 37 68 cm 2. a 15 7 cm b 0 628 cm c 32 97 cm 3. 9 77 cm 4. a 40 mm b 20 mm 5. 314 cm 2 6. 9925 cm 2 3. 47 1 ins 4. a 25 12 cm b 5 652 cm c 62 8 cm 5. 3 855 m 6. a 605 6 m b 267 75 mm Level F Homework page 11 ANSWERS
Chapter 31 Chapter 31 Exercise 3 Chapter 31 Exercise 1 1. a 7 1 b 5 1 c 8 2 2 3 5 d 4 11 20 1. a 5 8 e 1 3 10 b 5 6 f 1 4 c 1 3 g 1 5 16 d 1 16 h 0 e 6 1 4 f 7 7 8 g 11 1 11 h 25 4 25 i 1 5 12 j 1 6 k 1 17 60 2. a 7 1 2 e 12 1 5 b 2 1 2 f 9 3 4 c 26 1 5 g 40 1 5 d 6 2 3 h 1000 1 20 2. a 4 5 6 e 2 1 8 b 4 7 12 f 1 2 15 c 5 9 10 g 1 3 20 d 3 1 10 h 8 13 20 3. a 7 2 b 13 3 c 38 5 d 65 6 e 71 9 f 71 12 g 501 50 h 233 15 3. a 2 1 3 e 1 11 30 b 3 3 7 f 1 5 6 c 1 3 4 g 6 11 15 h d 5 7 8 17 20 4. a 8 b 40 c 2 d 15 Chapter 31 Exercise 4 Chapter 31 Exercise 2 1. a 10 21 b 3 10 c 21 32 d 5 12 1. a 4 5 e 1 5 b 3 7 f 1 4 2. a 7 b 7 1 2 c 3 8 g 1 2 c 7 1 2 d 3 11 h 1 d 6 1 2 e 1 16 2. a 7 7 8 f 5 8 b 16 1 3 g 1 4 c 9 5 8 h 2 3 d 3 16 25 e 9 2 3 f 3 1 5 g 6 1 2 h 4 4 5 e 1 2 f 3 1 4 g 5 2 5 h 1 1 3 3. 1 2 km 4. 4 kg 3. 9 m 2 4. 5 2 3 m 2 5. 2 1 4 km Chapter 31 Exercise 5 6. a 4 1 4 litres b 1 3 4 litres 1. a 4 5 b 6 c 1 2 d 1 2 3 7. 24 4 metres 5 8. 27 inches. e 2 f 4 5 2. a 2 2 3 b 1 1 5 g 1 3 3 c 1 d 3 4 h 24 55 7 Level F Homework page 12 ANSWERS
2. e 4 1 2 f 1 1 3. a 5 b 1 3 8 4. 1 2 m 20 kg g 27 32 Chapter 31 Revision Exercise 1. a 3 1 7 2. a 17 4 3. a 3 5 e 6 11 4. a 7 18 e 1 1 4 5. 10 1 2 6. 1 1 2 20 m m 2 Chapter 37 b 27 2 3 b 92 9 b 1 7 15 f 1 26 b 3 8 f 1 1 6 35 Chapter 37 Exercise 1 1. check diagrams c 2 9 g 2 1 15 c 2 4 5 2. a rectangle 2 cm by 1 cm b rectangle 16 cm by 6 cm h 1 7 8 d 17 h 2 40 d 8 1 3 g 6 h 1 1 3 3. a 3 cm b 2 5 cm c 1 cm d 13 5 cm e 3 6 m f 2 5 cm 7 12 Chapter 37 Exercise 2 Check diagrams Chapter 37 Exercise Chapter 37 Exercise 4 1. a A4 200 cm, A5 140 cm b A4 1 9 km, A5 1 34 km 2. 2 9 km 3. 2 8 m (no homework) 4. a A4 14 cm, A5 10 cm b A4 scale 1:4000, A5 scale 1:5600 Chapter 37 Exercise 5 1. a 262 b 323 c 071 2. a (i) A4 3 25 km, A5 2 3 km (ii) A4 1 4 km, A5 1 0 km b A4 3 5 km, A5 2 5 km c 135 d 315 3. v = 104 w = 26 x = 50 Chapter 37 Revision Exercise 1. a Rectangle 1 box by 2 boxes b Rectangle 5 cm by 11 2 cm 2. 3 cm 3. 4 4. a Drawing b Drawing 5. 92 5 m 6. a 258 b 060 4. a 1 5 b 1 4 Level F Homework page 13 ANSWERS
Chapter 41 Chapter 41 Exercise 1/2 1. a 2:3 b 2:5 c 5:3 d 3:5 e 2:8 (1:4) 2. a 1:2 b 1:3 c 1:5 d 1:7 e 9:1 f 9:4 g 25:2 h 8:1 i 1:25 j 3:4:6 k 1:5:9 l 2:27:111 3. a 3:2 b 5:12 4. a 1:12 b 1:27 c 60:1 d 1:170 5. a 5:2 b 2:1 c 25:1 d 1:2 6. a 1:5 b 1:500 Chapter 41 Exercise 3 1. 12 2. a 15 b 16 3. a 86cm b 3 cm 4. a light b medium c very strong d strong 5. 105 g Chapter 41 Exercise 4 1. Anne 100. Ben 150 2. a Bill 900, Ben 600 b May 150, Matt 210 c Tom 875, Tim 375 d Dan 4600, 5400 3. Jack 60, Jill 80 4. Ed 260 000, Ted 240 000. 5. CtP - 200ml, AgH - 100ml Chapter 41 Exercise 5/6 1. a 1 50 b 30 c 25p 2. a 5 b 45 3. a 105 km b 175 km c 17 5 km 4. a 450 b 1650 c 75 d 50 5. a 16 b 4500 c 4 000 000 Chapter 41 Exercise 7 1. a 1 2 3 4 5 6 4 8 12 16 20 24 b c check graph d Zero sweets cost 0 pence. 2. check diagram 3. (a) (c) Chapter 41 Exercise 8 1. 4 hours 2. 14 hours 3. 4 5 hours 4. 6 days 5. 36 mins 6. 4 bees Chapter 41 Exercise 9 1. 3 48 2. 25 minutes 3. 20 4. 600 g 5. 40 Chapter 41 Revision Exercise 1. a 3:2 b 2:3 2. a 2:5 b 1:11 c 5:3 d 3:4 e 2:3 f 1:24 g 1:20 h 1:20 3. a 48 b 65 4. Den 15 000, Len 25 000 5. Ali 100, Ben 400, Cari 500 6. a 50p b 64 c 7 5 hours 7. 640 minutes. Level F Homework page 14 ANSWERS
Chapter 43 Chapter 43 Exercise 1 1. a 6 b 0 c 12 d 18 e 80 f -5 g -19 h 2 i -21 2. a 13 b 0 c 1 2 d 3 2 e 9 4 f 2 3 3. a 5 b 8 c 2 d 5 e 2 f 9 g 6 h 15 i 39 2 j -1 k 19 2 Chapter 43 Exercise 2 1. a 1 b 8 c 4 d 7 e 3 f 7 2 g 0 h 7 i 2. a 8 b 6 c 9 d 41 e 17 2 g 8 h -17 2 3 2 f 13 i 15 3. a 6x = x + 50 b 10 4 a 6x + 4 = 3x + 16 b 4 Chapter 43 Exercise 3 2 l -4 1. a 2 b 6 c 8 d 3 e 8 f 4 g 8 h 0 i 13 2 j 7 k 11 l -3 2. a 1 b 5 c 2 d 3 e 4 f 6 g 8 h 3 i 14 j 3 k 9 l -24 3. a 1 b 1 c 4 d 6 e 8 f 10 g 4 h 3 i 2 j 8 Chapter 43 Exercise 4 1. 8 2. 12 3. 40 4. 15 5. 20 6. 0 7. 10 8. 9. 5 16 10. 21 2 11. 12. 13. 18 14. 20 15. 24 Chapter 43 Exercise 5 1. 11 2. 16 3. 19 4. 29 5. 5 6. 3 7. 1 8. 6 9. 12 10. 7 11. 1 12. 27 2 Chapter 43 Exercise 6 1. a x > 3 b x < 6 c x 29 d x 17 e x 30 f x 61 2. a x < 5 b x > 7 c x < 13 d x 6 e x 14 f x > 14 3. a x < 6 b x > 8 c x < 2 d x 7 e x 9 f x > 6 g x 0 h x < 9 i x 17 2 j x < 3 k x > 2 l x 6 m x 10 n x > 1 o x < 3 p x 40 q x < 0 r x 7 2 Chapter 43 Revision Exercise 1. a x = 14 b x = 50 c x = 6 d x = 8 5 e x = 0 5 f x = 5 g x = 4 h x = 3 5 i x = 3 j x = 3 k x = 5 l x = 7 7 4 22 3 8 5 Level F Homework page 15 ANSWERS
2. a 7x = 2x + 25 b 5 3. a x = 7 b x = 8 c x = 6 d x = 4 e x = 1 f x = 2 g x = 2 5 h x = 3 4. a x = 18 b x = 5 1 / 3 c x = 8 d x = 9 5. a x > 3 b x 24 c x 32 d x < 16 e x > 3 f x 5 g x 29 h x < 2 i x 8 Chapter 47 Exercise 4 1. T = D S 2. a 4 hrs b 4 hrs c 6 5 secs 3. a 3 hrs 30 mins b 4 hrs 45 mins c 2 hrs 20 mins d 6 hrs 15 mins 4. a 1 1 2 or 1 5 hrs b 3 4 or 0 75 hrs c 4 1 4 or 4 25 hrs d 6 2 3 or 6 667 hrs Chapter 47 Chapter 47 Exercise 1 1. a 0330 b 1820 c 2109 d 0000 e 1200 2. a 11 10pm b 7 05am c 10 12am d 12 04am e 4 15pm 3. a 4 hrs 45 mins b 2 hrs 35 mins c 14 hrs 15 mins d 4 hrs 45 mins e 15 hrs 15 mins f 12 hrs 50 mins Chapter 47 Exercise 2 1. D = S x T 2. a 120 km b 18 miles c 340 km d 2250 miles 3. a 24 km b 4 km c 2 km 4. a 10 5 km b 75 km 5. 72 000 km Chapter 47 Exercise 3 1. S = D T 2. a 60 km/hr b 400 mph c 10 km/hr 3. a 100 km/hr b 50 km/hr c 40 kkm/hr d 400 km/hr 4. 120 km/hr 5. a 1 hr 30 mins b 2 hrs 30 mins c 3 hrs 20 mins d 6 hrs 40 mins e 3 hrs 20 mins f 9 hrs 12 mins Chapter 47 Exercise 5 1. a 70 km b 60 mph c 2 hrs 30 mins 2. a 4 5 minutes b 42 m c 40 km/hr 3. a 2 hrs b 30 mins c 40 mins 4. a 250 metres/min b 300 metres/min 5. a 15 000 km b 6 hrs 15 mins 6. 50 mins. Chapter 47 Exercise 6 1. a 0 75 b 0 4 c 0 6 d 0 45 2. a 0 12 b 0 67 c 0 13 d 2 07 3. a 2 55 b 1 8 c 5 1 d 3 05 4. a 220 km b 50 mph c 8 hrs 24 mins 5. 16 mins Level F Homework page 16 ANSWERS
Chapter 47 Exercise 7 1. a 2 hrs 48 mins b 4 hrs 24 mins c 0 hrs 21 mins 2. a 4 hrs 36 mins b 8 hrs 9 mins c 3 hrs 3 mins d 1 hr 7 mins 30 secs 3. a 3 hrs 45 mins b 2 hrs 10 mins c 54 mins 4. a 72 km/hr b 900 km/hr c 37 8 km/hr d 0 03 km/hr Chapter 47 Exercise 8 1. a 1 hr b 45 km c 1 hr 30 mins d (i) 45 km/hr (ii) 60 km/hr 2. a Jack 9 am, John 10 am b 55 km c Jack by 10 mins d Jack 22 km/hr, John 33 km/hr. e 12 22 pm 3. a b 4. Jack : c 9 30 am dist (km) dist (km) 20 50 11 am 12 15 pm 1 pm 2 pm time 9 10 arrives in Airdrie at 10 22am arrives back home at 11 32am 9 30 10 10 10 34 time Chapter 47 Revision Exercise 1. a 5 hrs b 480 miles c 15 km/hr 2. a 0 8 hrs b 3 2 hrs c 1 7 hrs 3. a 2 hrs 15 mins b 0 hrs 45 mins c 5 hrs 3 mins 4. a 56 mph b 96 km c 10 metres/min 5. a b (i) 15 km/hr (ii) 40 km/hr dist (km) 20 12 Chapter 53 Chapter 53 Exercise 1 1. a 1 2 3 4 5 6 3 6 9 12 15 18 b 3 c number of people = 3 x number of tables d C = 3T 2. a 1 2 3 4 5 6 4 8 12 16 20 24 b number of lamps = 4 x number of cars c F = 4C d 100 3. a 2 50 b C = 2 5M c 75 1 20 1 30 2 00 time Level F Homework page 17 ANSWERS
4. a 1 2 3 4 5 6 21 42 63 84 105 126 S = 21J b 4 6 8 12 6 9 12 15 y = 1 5x 5. a y = 2x check diagram b y = 1 3 x check diagram. Chapter 53 Exercise 2 1. a Check diagram b 1 2 3 4 5 6 4 6 8 10 12 14 c 2 d P = 2T + 2 e 26 f 102 2. a (i) 34 (ii) 39 b 5 c C = 5D + 4 d 74 e 10 days 3. a D = 4T + 11 b D = 4V 13 c A = B + 7 d P = 3Q 5 4. (i) b y = 3x + 1 c (1,4), (2,7), (3,10), (4,13) d e check diagram f (0,1) g y-intercept 4. (ii) b y = 4x 2 c (1,2), (2,6), (3,10), (4,14) d e check diagram f (0, 2) g y-intercept. Chapter 53 Revision Exercise 1. a BOTTOM LINE 5 10 15 20 25 30 b No biscuits = 5 x No Packets c B = 5 x P d 75 biscuits 2. a i 52 ii 60 b 8 c C = 8D + 4 d 84 e 14 days 3. a BOTTOM LINE 11 20 29 38 A = 9b + 2 b BOTTOM LINE 30 80 130 180 H = 25g 20 Chapter 59 Chapter 59 Exercise 1 1. a 9 b 25 c 4 d 1 e 100 f 81 g 121 h 144 i 400 j 10 000 k 1 4 m 1 25 n 0 01 o 0 0001 2. a 25cm 2 b 100cm 2 c 49mm 2 d 0 25m 2 e 1 km 2 Chapter 59 Exercise 2 1. a 6 b 5 c 10 d 13 e 2 f 15 g 100 h 30 i 40 j 1 2. a 4 47 b 7 07 c 7 48 d 13 38 e 3 79 3. a 7 cm b 9 cm c 3 m d 1 mm e 0 5 m Chapter 59 Exercise 3/4 1. 5 cm 2. a 40 cm b 15 cm c 13 cm 3. a 21 26 cm b 30 48 cm c 9 22 cm d 22 36 cm e 13 45 cm f 22 63 cm l 1 9 Level F Homework page 18 ANSWERS
Chapter 59 Exercise 5 1. 7 08 m 2. 6 71 m 3. 18 81 m 4. 5 32 m 5. 6 32 m 6. a 24 41 m b 116 82 m 7. 48 83 m 8. 25 km Chapter 59 Exercise 6 1. 40 cm 2. a 12 cm b 13 27cm c 49 49 cm d 7 14 m e 71 24 cm f 59 16 cm 3. 7 48 m 4. 28 27 m 5. 5 06 m Chapter 59 Exercise 7 1. a 57 45 cm b 10 63 m c 12 65 cm 2. a hypotenuse too small b 35 47 cm 3. 42 37 m 4. 13 42 m 5. 0 866 m Chapter 59 Revision Exercise 1. a 64 b 10 000 c 10 d 3 46 2. a 15 3 m b 27 5 cm c 7 60 cm 3. 88 08 cm 4. Yes (total length 95 95 m) 5. 18 03 m Level F Homework page 19 ANSWERS