Chapter 2. Level F Homework page 1 ANSWERS. TeeJay Publishers Homework for Level F book Answers. e 4 f 9 g 46 h -x i 0 j 9e k 3 1 l 22h m 7
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1 Chapter 2 Chapter 2 Exercise 1 1. a 8 b 42 c a 15 b + 10 c 10 d m 4. a 64 or 65 b 64 or 65 c 67 or 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 a 4 b 1 c 4 d 11 e 2 f 0 g 7 h 6 i 2 j 1 k 6 l 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 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 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 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 a 44 or 45 b 22 or 23 BC C 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 a 2a b 44g c 0 d b + 3c e 8h 5k f 0 Level F Homework page 1 ANSWERS
2 Chapter 3 Chapter 3 Exercise 1 1. a 123 b 46 c 58 d 65 e 44 f a b Chapter 3 Revision Exercise 1. a b c c d e a 5 b 7 c 9 3. a 120 b 135 c a 72 b 30 c 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 a 72 b 40 c a octagon b hexagon Chapter 3 Exercise 3 1. a 360 b 12 c a 30 b 90 c 150 d 120 e 90 f a 45 b 135 c 135 d 165 e 105 f 75 Chapter 5 Exercise 1 1. a b c d a b c d 12 (not including 0) 3. a 20 b 30 c 14 d 60 e 12 f 60 g 105 h a 20 b a 37 5 b Level F Homework page 2 ANSWERS
3 Chapter 5 Exercise 2 1. a b c a b c d 4 3. a 2 b 8 c 4 d 15 e 16 f 3 g 7 h Chapter 5 Exercise 3 1. a only 2 factors b more than 2 factors c only has 1 factor 2. a b c 97 d a b 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 b a 12 b 40 c 21 d 6 e 45 f a b 1 29 c a 3 b 25 c 4 5. a b c 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 x 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 x 10 4 f 9 7 x 10 5 g 4 87 x 10 5 h 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 x 10 3 f 9 x 10 3 g 7 x 10 4 h 1 68 x 10 6 i 4 73 x a x 10 6 b x 10 6 c x 10 6 d x 10 6 e x 10 7 f x 10 7 g x 10 6 Level F Homework page 3 ANSWERS
4 h x 10 6 i j x 10 7 k x 10 6 l x 10 6 m x Pacific x 10 8 Atlantic 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 x x x 10 7 Chapter 7 Exercise 3 1. a b 750 c d 6470 e f 30 g h i j k l F W N C McC a b c a b 1 x 10 9 Chapter 7 Exercise x 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 a b c d e f g h More 4. a b c a b c d 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 a b 620 c d a b 2 x 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 a b c d e f g h Level F Homework page 4 ANSWERS
5 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 a 2a 6 b 30 10c c g 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 u 3. a 4y 3 b 6b c 12 6u d 8 e h + 5 f x + 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
6 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 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 / a 6 5 b 8 4 c 25 5 d a kg b 5 75 kg 7. a g b 340 cm 8. a 35 4 b c d e 2 9 f 17 6 g 45 9 h 35 2 Chapter 13 Exercise 2 1. a b c d e f g h i pounds 3. a 7 7 b a b c a 6 2 b 0 1 c 6 6 d 1 19 e f g 0 3 h 1 85 i 7 j 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 a 6200 oz b 248 oz c 4340 oz d oz 3. a 3 68 b c 184 d 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 n o p g km 4. a 3 7 b 1 3 c 0 9 d 0 7 e 0 7 f 0 8 g 0 9 h Level F Homework page 6 ANSWERS
7 Chapter 13 Exercise 5 1. a 4 8 b 48 c 480 d 4800 e 0 48 f g h i 0 49 j k l m 2400 n 0 2 o 0 06 p 9 6 q 4200 r 32 s 105 t / 4 cm 4. a b c d e 0 56 f g h 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 o 0 09 p mb 3. a 40 b 200 c 500 d 8 4. a kg b 1 4 g 5. a 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 f g h a b c 0 54 d a b 2 58 c d e 0 8 f a 1 55 b a 310 b 5200 c 49 d a 9810 b c d ml kg Chapter 13 Exercise a b a b Chapter 13 Revision Exercise a 3 3 b 9 3 c 27 4 d 0 3 e a kg b 2 4 kg 4. a 61 2 b c 0 76 d 4 27 e 9 f 20 g 36 h 36 i 0 9 j 0 8 k l pounds 6. a 2 33 b a 6 3 b 32 c d 120 e 20 f 7 g 6 4 h a 7 3 b 4 54 c d a 3000 b c 128 d a 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 Level F Homework page 7 ANSWERS
8 Chapter 17 Chapter 17 Exercise 1 1. a 6 b 55 c 2 9 d a 6 b 28 c 9 d a 1 b 2 c 2 3 d G 4. a 54 b 9 c a b c NONE a 945 kg 7. 8 Chapter 17 Exercise 2 1. a Freq = b 33 c a 0-4 b Freq = a/b/c Various Chapter 17 Exercise 3 1. a Total Freq = 40 fx = Total = 108 b 40 c 108 d a 30 in each class b 16 9 and 15 7 c 17 & a Table with 13, 14, 15, 16, 17. b i 17 ii 4 iii iv 16 Chapter 17 Exercise 4 1. a Cum Freq = b Week 5 c Week 4 2. a Cum Freq = Median = 3 b Cum Freq = Median = 4 c Cum Freq = Median = 15 Chapter 17 Exercise 5 1. a Angles = b Drawing 2. a Angles = Drawing b Angles = Drawing 3. Angles = Drawing Chapter 17 Exercise 6 1. a Various eg 2/4 = 24 b c 12 d 31 e a b 17 c a d 3 20 e Key eg 3/5 = 35 Mode 42 Median 35 b Key eg 1/23 = 1 23 Mode = 1 23 Median 1 26 Level F Homework page 8 ANSWERS
9 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 cm ii 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 / 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 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 Mode 13 7 Range Various 4. a 31 b 2 58 c 3 books d Cum freq = July 54 Dec 126 Aug a May 54 Oct 36 b 16 and 23 c a See graph b / 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 / a 3 40 b 14 c 1 30 d 16p e 1050 f 6 g 36p h 9p i 15p 3. a 9 / b 9 / c 2 / d 11 / e 1 / a 3 / 20 b 3 / 10 c 1 / 25 d 24 / 25 e 11 / a 80% b 18% c 75% d 10% 6. a 3 64 b c Level F Homework page 9 ANSWERS
10 Chapter 19 Exercise a b c d 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% % 4. 18% 5. 64% 5. a 50% b 33 1 / 3 % c 8% d 80% % 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 % 1. A = 1 2 x base x height Chapter 19 Exercise a 6 b a 12 m 2 b 60 m 2 c 75 cm 2 3. A 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 / b 1 / c 12 / d 7 / e 7 / 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 mm 2 d 25 cm 2 e 42 cm 2 f 460 cm cm cm cm 3. 80% Level F Homework page 10 ANSWERS
11 Chapter 23 Exercise 4 1. A = base x height 2. a 30 cm 2 b 120 cm 2 c 75 cm cm cm cm 2 Chapter 23 Exercise 5 Chapter 29 Exercise cm 2. a 8 cm b 0 5 cm c 19 cm 3. a 22 cm b 11 cm 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 m cm cm Chapter 23 Exercise cm cm cm cm cm 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 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 cm 2 2. a 314 cm 2 b mm m m cm 2 Chapter 29 Exercise 4 1. a m 2 b cm 2 2. a cm 2 b m cm cm m 2 Chapter 29 Revision Exercise cm cm Chapter 29 Chapter 29 Exercise cm 2. a 15 7 cm b cm c cm cm 4. a 40 mm b 20 mm cm cm ins 4. a cm b cm c 62 8 cm m 6. a m b mm Level F Homework page 11 ANSWERS
12 Chapter 31 Chapter 31 Exercise 3 Chapter 31 Exercise 1 1. a 7 1 b 5 1 c d a 5 8 e b 5 6 f 1 4 c 1 3 g d 1 16 h 0 e f g h i j 1 6 k a e b f c g d h a e b f c g d h a 7 2 b 13 3 c 38 5 d 65 6 e 71 9 f g h a e b f c g h d a 8 b 40 c 2 d 15 Chapter 31 Exercise 4 Chapter 31 Exercise 2 1. a b 3 10 c d a 4 5 e 1 5 b 3 7 f a 7 b c 3 8 g 1 2 c d 3 11 h 1 d e a f 5 8 b g 1 4 c h 2 3 d e f g h e 1 2 f g h km 4. 4 kg 3. 9 m m km Chapter 31 Exercise 5 6. a litres b litres 1. a 4 5 b 6 c 1 2 d metres inches. e 2 f a b g c 1 d 3 4 h Level F Homework page 12 ANSWERS
13 2. e f a 5 b m 20 kg g Chapter 31 Revision Exercise 1. a a a 3 5 e a 7 18 e m m 2 Chapter 37 b b 92 9 b f 1 26 b 3 8 f Chapter 37 Exercise 1 1. check diagrams c 2 9 g c a rectangle 2 cm by 1 cm b rectangle 16 cm by 6 cm h d 17 h 2 40 d g 6 h 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, A km km 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 a (i) A 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 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 a Drawing b Drawing m 6. a 258 b a 1 5 b 1 4 Level F Homework page 13 ANSWERS
14 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: a 3:2 b 5:12 4. a 1:12 b 1:27 c 60:1 d 1: a 5:2 b 2:1 c 25:1 d 1:2 6. a 1:5 b 1:500 Chapter 41 Exercise a 15 b a 86cm b 3 cm 4. a light b medium c very strong d strong g Chapter 41 Exercise 4 1. Anne 100. Ben a Bill 900, Ben 600 b May 150, Matt 210 c Tom 875, Tim 375 d Dan 4600, Jack 60, Jill Ed , Ted CtP - 200ml, AgH - 100ml Chapter 41 Exercise 5/6 1. a 1 50 b 30 c 25p 2. a 5 b a 105 km b 175 km c 17 5 km 4. a 450 b 1650 c 75 d a 16 b 4500 c Chapter 41 Exercise 7 1. a b c check graph d Zero sweets cost 0 pence. 2. check diagram 3. (a) (c) Chapter 41 Exercise hours hours hours 4. 6 days mins 6. 4 bees Chapter 41 Exercise minutes g 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 Den , Len Ali 100, Ben 400, Cari a 50p b 64 c 7 5 hours minutes. Level F Homework page 14 ANSWERS
15 Chapter 43 Chapter 43 Exercise 1 1. a 6 b 0 c 12 d 18 e 80 f -5 g -19 h 2 i a 13 b 0 c 1 2 d 3 2 e 9 4 f 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 f 13 i a 6x = x + 50 b 10 4 a 6x + 4 = 3x + 16 b 4 Chapter 43 Exercise 3 2 l a 2 b 6 c 8 d 3 e 8 f 4 g 8 h 0 i 13 2 j 7 k 11 l a 1 b 5 c 2 d 3 e 4 f 6 g 8 h 3 i 14 j 3 k 9 l a 1 b 1 c 4 d 6 e 8 f 10 g 4 h 3 i 2 j 8 Chapter 43 Exercise Chapter 43 Exercise Chapter 43 Exercise 6 1. a x > 3 b x < 6 c x 29 d x 17 e x 30 f x a x < 5 b x > 7 c x < 13 d x 6 e x 14 f x > 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 = Level F Homework page 15 ANSWERS
16 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 or 1 5 hrs b 3 4 or 0 75 hrs c or 4 25 hrs d or hrs Chapter 47 Chapter 47 Exercise 1 1. a 0330 b 1820 c 2109 d 0000 e 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 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 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 km b 6 hrs 15 mins mins. Chapter 47 Exercise 6 1. a 0 75 b 0 4 c 0 6 d a 0 12 b 0 67 c 0 13 d a 2 55 b 1 8 c 5 1 d a 220 km b 50 mph c 8 hrs 24 mins mins Level F Homework page 16 ANSWERS
17 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 pm 3. a b 4. Jack : c 9 30 am dist (km) dist (km) am pm 1 pm 2 pm time 9 10 arrives in Airdrie at 10 22am arrives back home at 11 32am 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) Chapter 53 Chapter 53 Exercise 1 1. a b 3 c number of people = 3 x number of tables d C = 3T 2. a b number of lamps = 4 x number of cars c F = 4C d a 2 50 b C = 2 5M c time Level F Homework page 17 ANSWERS
18 4. a S = 21J b 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 c 2 d P = 2T + 2 e 26 f 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 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 A = 9b + 2 b BOTTOM LINE 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 k 1 4 m 1 25 n 0 01 o 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 e a 7 cm b 9 cm c 3 m d 1 mm e 0 5 m Chapter 59 Exercise 3/ cm 2. a 40 cm b 15 cm c 13 cm 3. a cm b cm c 9 22 cm d cm e cm f cm l 1 9 Level F Homework page 18 ANSWERS
19 Chapter 59 Exercise m m m m m 6. a m b m m km Chapter 59 Exercise cm 2. a 12 cm b 13 27cm c cm d 7 14 m e cm f cm m m m Chapter 59 Exercise 7 1. a cm b m c cm 2. a hypotenuse too small b cm m m m Chapter 59 Revision Exercise 1. a 64 b c 10 d a 15 3 m b 27 5 cm c 7 60 cm cm 4. Yes (total length m) m Level F Homework page 19 ANSWERS
Circle Theorems. Angles at the circumference are equal. The angle in a semi-circle is x The angle at the centre. Cyclic Quadrilateral
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