answers to LEVEL “D” homework TJ Level E Homework Answers page 0 Level E Homework Chapter 1 5. a 14 Exercise 1 1 . a Two thousand and seven b Eighteen thousand and fifty c One hundred and forty thousand and ten d One hundred and one thousand and seven 2 . a 540 b 10 090 c 50 002 d 100 010 e 707 070 f 1 101 000 3 . 399, 401, 3011, 4001, 7001, 30 401, 35 002, 40 900 4 . a 1010 b 8080 c 5550 d 1400 e (i) 210 (ii) 1675 5 . A = 37 B = 88 C = 114 D = 1000 E = 7000 F = 8500 G = 10 500 6 . a 140 b 202 c 3750 d 7825 7 . 1 500 000 Chapter 1 1. a 61 e 630 2. a 21 e 75 3 . a 1410 e 10 000 4. a 25 5 . £207 Chapter 1 1. a e i 2. a 690 187 5758 (i) 7055 Chapter 1 1. a e 2. a e 3. a e 4. a 5. a 450 1230 4100 50 100 2300 9000 400 ml 50 mm Chapter 1 1. a e 2. a e 3. a e 4. a 5. a 33 800 2 100 90 87 5m 7 Chapter 1 1. a e 2. a e 3. a 4. a 81 924 210 3654 480 1224 Chapter 1 1. a 2. a e 3. a 4. a 9 16 444 31 82 Exercise 2 b f b f b f b 113 5800 57 370 3700 6990 £321 c g c g c g c 221 7300 121 1900 9350 5120 (i) £2640 d 282 h 9800 d 67 h 2300 d 4660 h 880 (ii) £1060 c g k b 131 10 001 1967 £9020 d h l c 1110 709 8831 £1355 220 8020 9900 30 000 33 000 100 000 3000 ml 400 mm c g c g c g 760 12 000 23 100 202 000 4040 10 100 d h d h d h 200 10 300 10 000 500 000 66 000 200 000 b f b f b f b b 56 550 16 201 205 1000 800 m 400 Chapter 1 d 10 000 mm c g c g c g c d h d h d h d 70 1000 80 3000 220 10 50 m 300 14 050 240 50 000 110 1 100 m c 1200 g 5600 c 42 300 d 3690 h 28 890 d 18 120 b 60 800 f 263 700 c 202 500 g 197 400 d 310 200 h 177 600 c g c g d h d h b f b f b b b 40 490 800 6100 7500 £2000 99 900 km 90 3770 1400 11 900 b f b b b f 90 290 800 cm 100 800 400 c 240 g 600 d 200 h 1100 c 200 c 920 g 3000 d 200 d 1100 h 20 000 c 6977 g 74 c 150 m d 8745 h 576 d £71 Exercise 11 b 2881 f 358 b £4650 Revision Exercise 1 . a Ten thousand seven hundred and fifty nine 2 . a 20 010 b 81 090 3 . 40 003, 4991, 4700, 4070, 3765, 3099 4 . a 48°C b 152°C 5 . a 1650 b 9150 6 . a 164 b 550 c 13 000 e 420 f 540 g 33 000 i 33 7 . a 3662 b 3087 c 5655 e 220 f 4976 g 81 8 . a £645 b £6788 9 . a 5000 b 5000 10. a 1200 b 2000 11. a 800 b 18 000 c 200 Chapter 2 Exercise 1 1. a b c d e f Exercise 6 b f b f b b 136 1848 465 2664 168 92 c g c g c 426 1468 344 83 079 (i) 864 d 275 h 2142 d 546 h 17 776 (ii) 21 735 c c g c c 55 206 2051 (i) 137 349 d 619 d 52 h 842 (ii) 329 d 1763 Exercise 7 b b f b b 147 189 575 55 368 TJ Level E Homework Answers g page 1 130 2000 3400 1000 Exercise 10 60 290 500 euros 50 100 80 1 . a 543 e 888 2 . a 813 km b 1560 f 15 200 b 6850 Exercise 9 60 360 500 9800 7470 £2000 99 910 km Chapter 1 c 1010 mm Exercise 5 1. a e 2. a e 3. a 4. a 5. a Exercise 8 640 1000 7020 17 520 33 400 210 000 357 000 Chapter 1 1. a e 2. a 3. a 4. a e Exercise 4 b f b f b f b b 1. a e 2. a e 3. a e i Chapter 1 Exercise 3 b 1074 f 9772 j 9009 (ii) 1695 Chapter 1 b 3 h d 7050 h 360 d 4322 h 2132 Chapter 2 1. a 1 e 0 i 3 Chapter 2 Exercise 1 b 1 f 5 j 6 c 3 g 1 k 2 b c d d 0 h 5 l 0 Exercise 2 1. a b c 2. a b c 3. a 4. a 5 . a 6 units c 6 hundredths or 6 / 1 0 0 6 . 0·09, 0·78, 0·87, 1·09, 1·11, 7 . a 0·08 b 1·2 e 6·22 f 2·62 8 . 1·65 m b Chapter 3 4. a Chapter 3 c 1. a e 2. a c 3. a e i 4. a e 5. a e b 1 . a 0·4 e 3·3 2. a b 0·7 f 0·4 c 3 . a 0·23 e 1·42 b 1. a e i 2. a e i 3. a 4. a b d Chapter 3 Exercise 1 b 0·19 f 4·17 c 1·5 c 0·65 TJ Level E Homework Answers d 1·2 d 0·56 b f b f j b 10·5 5·57 9·16 2·54 5·66 1·71 d 7·9 c 4·26 g 1·65 d 1·66 h 2·94 c 4·84 Exercise 3 d 0 h 9 d h l d £10·00 2 cm 20 kg 99 d £1234 Exercise 4 6·9 3·4 16·6 kg 3·9 3·2 8·5 6·6 kg (i) £17·25 £65·10 b f j b f j b 9·3 1·7 65·2 km 16·1 10·9 5·89 0·74 secs (ii) £9·00 c 1·79 g 0·95 k 95 km c 56·66 g 38·69 k 17·36 c 7·8 kg (iii) £34·00 d 8·36 h 0·58 d 180·01 h 18·87 l 5·37 d 56·5 m (iv) £25·50 Revision Exercise 1 . a 1·35 2 . a 3 tens c 8 hundredths or 8 / 1 0 0 3 . a 8·68 b 3·6 4. a 4 b 2 5 . a 8·8 b 5·85 6 . a 8·55 b 21·48 7 . £8·26 8 . a £31·40 b £18·60 9 . a 51 cm b 22·4 cm page 2 c 21·7 8 b 13 c 21 1 f 23 g 9 2 b 8 closer to 8 18 and 19 closer to 19 £8·00 b £8·00 c £2·00 7 cm f 9 cm g 10 cm 7 kg j 9 kg k 12 kg 5 b 2 c 10 1 f 100 3 b 54 c 87 56 cm Chapter 3 Chapter 3 Exercise 2 1 . 2·8 m 2 . a 5·8 e 1·45 3 . a 5·38 e 2·8 i 7·36 4 . a 0·25 b b 6 tens d 6 tenths or 6 / 1 0 1·91 c 5·5 d 0·24 g (i) 0·4 (ii) 0·25 b 2 units d 7 tenths or 7 / 1 0 c 59 c 12·2 c 1·84 d 100 d 0·67 d 4·69 Chapter 4 Exercise 1 Chapter 5 1 . a 0930 hrs b 0340 hrs c e 1735 hrs f 2200 hrs g i 0210 hrs j 0843 hrs k m 1240 hrs n 2320 hrs o q 2225 hrs r 2320 hrs 2 . a 5·30 am b 10·50 am c e 7·40 pm f 11·25 pm g i 8·20 pm j 9·12 pm k m 2·45 am n 2·25 pm o q 12·10 am r 7·07 am 3 . a 2345 hrs, 0415 hrs b 4 . a 0755 hrs, 1505 hrs b 5 . Saturday 12·30 am or 0030 hrs Chapter 4 d h l p 1440 2155 0025 2110 hrs hrs hrs hrs 9·45 am 1·40 am 12·00 9·45 pm d h l p 5·45 pm 4·45 pm 3·50 am 11·05 pm 1. a b 2 2. a 4 hrs 30 mins 7 hrs 10 mins b d f h j 4 3 5 1 4 hrs 30 mins hrs 5 mins hrs 30 mins hr 25 mins hrs 20 mins b 4 3. a 1 2 3 4 min 30 secs mins 20 secs mins 20 secs mins 15 secs b d f h 2 3 5 7 hrs 10 mins hrs 10 mins hrs hrs 10 mins b 2 mins 50 secs b 22 secs b 6 mins 14·2 secs d 8 mins 0·5 secs TJ Level E Homework Answers Frequency Spain Italy America France U.K. |||| || |||| | | || 5 2 6 1 2 c America Pins d 4 Tally Frequency | || |||| |||| |||| |||| 1 2 4 9 5 0 3 ||| e 16 c 8 Sweets Tally Frequency || |||| |||| |||| |||| || |||| |||| | ||| 2 4 9 7 4 6 3 b 6 4 . a (i) 6 (ii) 12 (iii) 5 (v) 4 b 36 c 8 5 . a (i) 12 b irn bru c 80 (ii) 8 lemonade (iii) 14 water (iv) 28 cola (v) 18 orange 6 . See bar graph 7 . a. Vowel Tally A E I O U Revision Exercise 1 . a 0630 hrs b 1940 hrs c 2332 hrs 2 . a 4·50 pm b 8·25 am c 10·15 pm 3 . a 5 hrs 20 mins b 3 hrs 35 mins 4 . 2315 hrs 5 . a 1 min 40 secs b 2 mins 5 secs c 3 mins 25 secs 6 . a 1 hr 15 mins b 2 hrs 50 mins c 5 hrs 5 mins 7 . 12 mins 8 . 2 mins 25 secs 9 . 7 mins 1·9 secs 10. BRYCELAND, GEMMILL, LAPSEY, MILLAR, RODGER, BAKER Tally 7 8 9 10 11 12 13 c 13 b d f h Resort 58 59 60 61 62 63 64 Exercise 3 1 . a 1 min 10 secs c 2 mins e 3 mins g 4 mins i 5 mins 10 secs 2 . a 1 hr 30 mins c 2 hrs 50 mins e 3 hrs 50 mins g 6 hrs 20 mins i 9 hrs 20 mins 3 . a 7 mins 20 secs 4 . 11 mins 25 secs 5 . a 2nd last lap 6 . a 2 mins 15·3 secs c 8 mins 1·7 secs 7 . 2 mins 16 secs Chapter 4 hrs hrs hrs hrs Exercise 2 1 . a 3 hrs c 5 hrs 30 mins e 1 hr 30 mins g 2 hrs 55 mins i 3 hrs 15 mins 2 . 2210 hrs 3 . 3 hrs 30 mins 4 . 3 hrs 35 mins 5 . a 35 mins b 1020 hrs 6 . AMY beat BILLY by 1 minute Chapter 4 0500 0745 1200 0335 Exercise 1 |||| |||| | |||| |||| |||| |||| |||| ||| |||| | |||| |||| | (iv) 9 Frequency 11 28 6 5 6 b See bar graph Chapter 1 Exercise 2 1 . a (i) 20 cm b (ii) 30 cm b (iii) 50 cm (iv) 35 cm 2 . a (i) 60 b (ii) 50 (iii) 55 (iv) 35 3 . b See graph 4 . a (i) orange b (ii) orange (iii) cola (iv) orange 5 . See graph page 3 (i) 6 and 7 c 7 (ii) 8 d 45 cm (i) 1pm - 2pm c noon - 2pm d nearing dinner time (i) 20 (ii) 50 (iii) 80 c (i) 40 (ii) 40 (iii) 60 d orange Chapter 6 Chapter 5 Exercise 3 1 . a (i) Friday (ii) Maths b Friday c Music Wednesday Science Monday English Thursday P.E. Tuesday Maths b School 2/1 0 2 . a (i) (ii) 3/1 0 Home (iii) 1/1 0 Chip van (iv) 4 / 1 0 3 . a 5 pupils 4. a 1/2 0 b (i) 9 / 2 0 (ii) None b (i) 20 (ii) 10 (iii) 15 (iv) 5 c 5 4/2 0 Chapter 6 d (i) 45 (ii) 20 5/2 0 (iii) 25 (iv) 2 / 2 0 (iv) 10 (iii) 5 . See pie chart Chapter 5 Exercise 4 1 . a (i) £12 (ii) £25 (iii) £24 2 . a (i) £14 (ii) £34 (iii) £20 (iv) £40 3 . a (i) £110 (ii) £115 (iii) £109 4 . a £179 e £974 5. a 5 e 25 Chapter 5 1. a Name b £15 b Double standard b (i) £220 (ii) £290 c Flights not available b £199 c £398 d £457 b 14 f 19 – 20 c 4 d 13 Revision Exercise Tally Eastlife | | | | | | | Bloo |||| Burst ||| U3 | Atom Cat. | | | Frequency 8 5 3 1 3 b 20 c Eastlife, Bloo, Burst & Atom Cat, U3 2 . a (i) 12 b 45 (ii) 6 (iii) 5 3 . a Netball 8 b 39 Football 13 Hockey 6 Golf 3 Tennis 9 4 . See bar chart 5 . a (i) 50°C b Wed c Wed & Fri (ii) 60°C (iii) 55°C 6 . a 1/1 0 b 3/1 0 c 32 7 . a (i) £7·00 b £12·25 (ii) £3·00 (iii) £10·00 TJ Level E Homework Answers 1. a 49 e 144·7 i 487 m 357 2 . 450 cm 3 . 23·6 mm 4 . £275 5 . £20·05 1 . a 1·75 e 6·507 i 5·892 m 3·10 2 . 5·2 m 3 . 0·95 cm 4 . £1·23 5 . 0·593 g 6 . £50·30 Chapter 6 1 . a 7·4 e 256·8 i 24·36 m 16·17 2 . a 29·4 e 48·51 3 . £44·55 4 . 215·4 m2 5 . £38·80 6 . £37·40 7 . 20·86 cm 8 . 250 cm Chapter 6 1 . a 3·4 e 2·9 i 4·59 m 0·28 2 . a 3·9 e 0·43 3 . 0·29 kg 4 . £1·96 5 . £1·35 6 . 37p 7 . £4·95 8 . 40 mins Chapter 6 Exercise 1 b f j n 72 2·4 347 167 1 . a 36·56 2. a 91 e 6·52 3 . a 28·2 e 1·28 4 . £1·58 5 . a £22·24 6 . a £7·35 page 4 31·8 10·09 506 5·84 d h l p 65·4 0·567 790 0·41 c g k o 54·75 4·801 0·126 0·013 d h l p 5·782 0·0068 0·5708 0·007 c g k o c g 55·2 333·6 194·8 382·9 18·75 61·11 d h l p d h 413·5 428·4 31·84 85·32 28·68 22·113 c g k o c g 1·8 6·5 1·69 1·24 1·7 1·24 d h l p d h 1·7 4·3 1·59 1·08 9·7 1·06 d d h d h 2·19 710 0·52 61·65 1·09 Exercise 2 b f j n 4·29 0·9 4·8247 0·07 Exercise 3 b f j n b f 20·1 293·3 51·18 32·4 31·6 38·08 Exercise 4 b f j n b f 1·3 6·2 2·76 1·28 2·9 1·38 Exercise 5 1 . £55·94 2 . 5·7 mins 3 . £7·49 4 . £44·65 including deposit 5 . £3·14 6 . £2·85 7 . a £52·75 b £12·95 8 . 31·9 sesc Chapter 6 c g k o c £8·30 Revision Exercise b b f b f 34·56 546 0·73 58·8 0·89 b £6·95 b £1·40 c c g c g 2·42 845 4·398 47·2 1·59 c £29·19 c 20p Chapter 7 Exercise 1 8. a 1. a 5 b 3 2. a 8 b 0 d 1 e 15 g 7 h 6 3. a – b + d ÷ e x or ÷ 4. a 15 b 13 5 . a 3 x 6 – 1 = 17 c 2 x 15 x 2 – 10 = 50 6 . ? – 4·6 = 7, ? = 2·4 7 . a Bob + 61 = 112 Chapter 7 c c f i c f c b 3 9 26 24 x ÷ 6 2 x 3 x 4 – 1 = 23 b Exercise 2 4 b 2 c 12 5 e 7 f 26 3 h 7 i 4 y=9 b p = 24 c k=7 w = 36 e g=9 f w = 200 q=0 h h=4 i q = 24 (i) 8 + x = 15 b (i) 3t = 60 c (i) h + 45 = 62 (ii) x = 7 (ii) t = 20 (ii) h = 17 4 . a x + £3·50 = £9·00 b 4 x ? = 24 ∴ x = £5·50 ∴ ? = 6 (sweets) 1 . a (i) 21 (ii) 30 (iii) 150 (iv) 3·6 (v) 0 2 . a (i) 2 (ii) 5 (iii) 1 (iv) 7 (v) 1·2 3. a weight (kg) time (hrs) 4. a 7 d 7 5. 13 6. a 1. a 2. a c 3. a b 2. a 4 5 6 2 3 4 5 6 7 +1 b 3 e 97 —> 2 3 4 5 4 x4 c g c c Obtuse Right Acute Right ∠ABC b ∠MUN ∠DUW Acute ∠VBF Obtuse check diagram (i) Acute (ii) Obtuse ∠KLM = 40° ∠GFJ = 100° 30° b 120° 10° e 160° 1. a A E c c g c c b d 40° c ∠TYP d ∠SEH b ∠QAC reflex d ∠NOM Straight (iii) Obtuse b ∠SAD = 160° c 110° f 50° C b D P 9 6 – h=6 d K S 120° 3. a d h d d 6 8 12 16 20 24 —> legs TJ Level E Homework Answers R F 160° T M c 23 90 ÷ k = 56 b A 45° T U N W C 115° 1. a d 2. a d g page 5 30° 55° 61° 27° 134° 78° D d G Chapter 8 5 20° Q 60° G 4 Acute d Reflex Straight h Obtuse Acute d Right Acute d Obtuse 102, 112, 93, 174 90 e 250, 359 Exercise 3 172° K U F 4 . see triangle 3 —> cost 6 £25 £35 £45 £55 £65 £75 1. a 5 b 8 e 3 f 6 2. a + b x 3. a x = 7 b y = 15 4 . 28 + * = 53 , * = 25 5. a 42 b 5 6. a 22 b 11 7. a no. of stools 1 2 stools —> b f b b 6 Exercise 4 Revision Exercise no. of legs —> + £20 Chapter 8 b £155 Chapter 7 £40 £50 £60 c 17 f 12 1 4 Exercise 2 L no. of days total hire cost b Acute Reflex Obtuse Acute 78, 12, 45, 180 B hr (no of hours) x 10 3 Exercise 1 Chapter 8 1. a c 2. a d 3 b (no of kg) kg —> 1. a e 2. a 3. a 4. a c b (i) 2 (ii) 10 (iii) 1000 (iv) 2·1 (v) 3 b (i) 40 (ii) 120 (iii) 200 (iv) 4·8 (v) 4000 2 £30 days —> Chapter 8 1 2 c £160 b 51 kg Exercise 3 1 cost (£) Chapter 8 1. a d g 2. a d g 3. a Chapter 7 no. of days Exercise 5 b e b e h 75° 100° 14° 90° 120° c f c f i 65° 195° 89° 240° 45° P Chapter 8 Chapter 8 Exercise 6 1 . a vertically opposite 2. a b 30° d 20° g 33° 150° e 160° Chapter 8 f 110° 70° 70° 110° 20° 160° 147° c 100° 80° 80° 100° 30° 150° 147° b “d” 15° h 165° 165° 15° i 124° 56° 56° 124° 33° 29° 151° 151° 29° Exercise 7 c 86° 94° 86° 70° 110° 70° e 58° 122° 4 . Alternate Angles 5 . Parallel 6. a 55° 125° c e 65° 115° Chapter 8 115° 120° b e 57 d b b 180 ∠ISU 135° b D 155° d 315° Acute Reflex 132, 179, 149, 97, 112 210 ∠ROE 340° c 210° E 130° R Q F P b 135° b c 95° d 118° c 120° 60° 60° 120° 100° 80° 25° 155° c f b e c c 100° b 270° c 225° b 045° c 320° N b 120° 60° 60° 120° d 135° N c Chapter 9 80° 100° 125° 55° 55° 125° Exercise 8 c 135° g 225° c SE (ii) Lakeside (iv) Station (iii) West d 135° h 225° (iv) SW Exercise 1 1 . a (i) 15 2 . £20 £5 50p 3 . a £1·76 4 . a £5·23 Chapter 9 100° 80° 1. a e i 2. a d 3. a e i 4. a e i m page 6 290° 230° 70° 140° 40° 40° 140° TJ Level E Homework Answers d 240° 60° 65° 1 . Check compass 2 . a 90° b 270° e 270° f 135° 3 . a West b SE d West e 225° 4 . a (i) Isle of BATE (iii) ESK Point b (i) North (ii) NE c (i) North (ii) NW Right Acute C 6 . See drawing 7 . a 70° 8. a 140° 40° 40° 140° f 230° 280° 100° 335° 180° 75° 38° 142° 20° 9 . a 90° 10. South 11. a 090° 12. 260° 13. a d 38° c f c c c 120° 60° 60° 120° 122° 58° 75° 095° 120° 120° 260° 090° Revision Exercise Obtuse Straight 64, 4, 30, 90 ∠GFD 40° 25° b 20° 142° 1. a d 2. a c 3. a 4. a 5. a f 58° 122° 122° 58° 105° 75° 20° Chapter 8 B 55° 105° 75° 75° 105° 1 . a 030° b d 050° e 2 . a 045° b 3 . a 315° b 4 . a 045° b 5 . check drawings 6 . check drawings 7 . 250° A 1 . Corresponding Angles 2 . Parallel 3. a b d Exercise 9 (ii) 45 b (i) 8 3 x 10p 5p 2p 1p b £1, 50p, 20p, 5p, 1p b £5, 20p, 2p, 1p (ii) 16 Exercise 2 £2·99 £2·20 £13·60 £9 £13·65 £6·70 £2·40 £9·30 £24·70 £3·89 £132·40 £46·50 b f j b e b f j b f j n £6·96 £5·05 £1·90 £5·30 £7·87 £18 £1·95 £1·71 £21·02 £5·35 £0·73 £136 c g k c f c g k c g k o £19·12 £5·96 £36·46 £21·53 £7·52 £32·52 £0·92 £11·04 £10·21 £19·26 £6·38 £1·87 d £17·71 h £0·79 l £10·22 d h l d h l £42·25 £0·69 £1·73 £3·81 £62·25 £7·94 Chapter 9 Exercise 2 Chapter 10 1. a 2. a 3. a 4. a £10·35 b £9·65 £1·41 b £5·84 c £13·52 d £8·86 £14·60 b £2·10 Settive High b B = £27·66 c Barden Acad £1·33 S = £27·26 by 40p 5 . £1·75 6 . £13·90 7 . £39·79 8 . 100g = £1·15, 100g = £1·13, 100g = £1·14, - 300g best buy Chapter 9 b b e h b b b a 2 x £1 coins, 20p, 10p, 5p £26·43 c £2·99 £20·25 f £74·07 £4·14 i £101·20 £2·80 £11·40 £2·05 c £3·28 case of 12 better value b £3·80 Exercise 1 1 . a circle b square c kite d parallelogram e rectangle f rhombus g triangle 2 . a rhombus, rectangleb squares c hexagons d parallelogram e triangles f semi-circle g kite h circle, rhombus, rectangle 3 . a pentagon b hexagon c octagon d decagon 4 . quadrilateral 5 . nine 6 . a rectangle, circle b hexagon, 3 triangles c square, 4 semi-circles Chapter 10 1. a 2. a c 3. a 4. a 5 . 54 Exercise 3 1 . ΔABC, acute angled, scalene 2 . ΔDEF, right angled, isosceles 3 . ΔGHI, acute angled, equilateral 4 . ΔJKL, right angled, scalene 5 . ΔPMN, obtuse angled, isosceles 6 . ΔSQR, obtuse angled, scalene Chapter 10 Exercise 4 check all diagrams Chapter 10 Exercise 5 1 . check diagram 2 . 12 cm 3 . 60 cm 4 . length = 64 cm, breadth = 16 cm Chapter 10 Chapter 11 Exercise 6 check all diagrams TJ Level E Homework Answers c Exercise 1 1. a 3/4 b 3/5 c 5/6 d 3/8 e 5/8 f 5/6 g 8/1 2 h 1/6 i 1/3 j 1/1 2 2. a 1/4 b 2/5 c 1/6 d 5/8 e 3/8 f 1/6 g 4/1 2 h 5/6 i 2/3 j 1 1/ 1 2 3. a 11 b (i) 4 / 1 1 b 5/1 1 4 . a any 4 boxes shaded 5 . various answers Chapter 11 1. a d 2. a c 2/1 1 d 9/1 1 b any 3 boxes shaded Exercise 2 1/2 b 3/4 c 5/6 1/1 0 e 1 6/ 2 1 f 5 0/ 5 1 1/2 b 3/4 c 5/7 1 1/ 1 2 e 2 0/ 2 1 f 4/1 5 3. a 1/2 b 1/6 c 1/5 d 1/1 5 e 1/7 f 1/3 g 1/3 h 1/1 0 0 i 4/5 j 1/1 2 k 1/2 5 l 1/2 4 4. a 1/5 b 1/7 c 6/7 d 1/9 e 1/3 f 1/3 d Exercise 2 scalene b isosceles equilateral b scalene isosceles d isosceles 40 cm b 46 cm c 150 mm 10 cm b 9 cm c 13·5 cm cm Chapter 10 1 . a octagon b pentagon 2 . hexagon, circle, semi-circle, isosceles triangle, equilateral triangle, square, rectangle, kite 3 . 96 cm 4 . a right angled scalene b acute angled isosceles c obtuse angled isosceles 5 . check diagram 6 . 83 cm 7 . 14 m Revision Exercise 1 . a £2·35 2 . a £15·31 d £4·65 g £5·15 3 . a £2·20 4 . a £8·55 5 . a £1·64 6 . £0·45/£0·46 Chapter 10 Revision Exercise equilateral Chapter 11 1. a d g 2. a d g 3. a 4. a 5 a 10 9 21 9 6 3 20 6 12 Exercise 3 b e h b e h b b b Chapter 11 1. a 10 e 8 i 25 2. 24 3. 57 5 5 12 7 13 90 (i) 8 24 9 c 6 d 9 c 18 g 6 d 27 h 48 Exercise 4 b 18 f 24 j 63 Chapter 11 c 25 f 11 i 7 c 5 f 9 i 2 (ii) 24 Revision Exercise 1. a 1/4 b 1/6 c 5/1 2 2. a 3/4 b 5/6 c 7/1 2 3. a 4/8 b 6/9 c 4 2/ 7 7 4. a 2/4 b 2 / 10 c 4/6 page 7 .... .... .... 5. a 1/2 b 1/5 c 1/3 Chapter 13 d 6. a d 7. a 8. a 1/5 e b e b b 1/3 f c f c c 1/2 0 1 . a Dark 60% Light 30% White 10% 2 . a 1 9/ 1 0 0 b £15 5 euros £12 £16 Chapter 12 20 kg $7 £6 27 litres 12 ml 2g £6 35p Exercise 1 Chapter 12 d 5. a d 6. a 7. a Exercise 2 c 3 g A d 2 h A, C, D (ii) 1 left, 3 up c (3, 3 ) b octagon Exercise 3 e 1 1/ 1 0 0 f 9/1 0 0 b Dark 67% Light 20% White 13% 6 7/ 1 0 0 c 8 9/ 1 0 0 2 1/ 1 0 0 5 1/ 1 0 0 4 0/ 100 g 6 / 100 (0·40) (0·06) 2/1 0 0 1/1 0 0 Dark 31% Light 14% White 55% d 9 9/ 1 0 0 h 7/1 0 0 l 1 0 0/ 100 = 1 d 0·12 h 0·09 l 1 c 1 3/ 100 (0·13) e 9 8/ 100 (0·98) f 1 5/ 100 (0·15) h 3 0/ 100 (0·3) i 1 7/ 100 (0·17) (0·08) c 10% g 26% k 50% l j 2 / 100 (0·02) k 5 . a 23% b 83% e 61% f 6% i 1% j 50% Chapter 13 g c k c 0·93 g 0·31 k 0·01 7 7/ 100 (0·77) i j 3 . a 0·43 b 0·65 e 0·49 f 0·99 i 0·04 j 0·2 4 . a 2 3/ 100 (0·23) b d Chapter 14 Exercise 1 1 . a Dark 40% Light 30% White 30% 2 . a 4 1/ 1 0 0 b 8 / 100 8 1/ 100 (0·81) d 76% h 90% l 5% Exercise 2 1 . a 36% b 24% 2 . a 0·15 (15%) b 0·44 (44%) c 0·4 (40%) d 0·5 (50%) e 0·02 (2%) f 1 (100%) 3 . a 60% b 60% c 30% d 40% e 60% f 5% 4 . 80% 5 . English (75%) French (76%) better Chapter 13 Exercise 3 1 . a £15 d 4 euros g 50p 2 . a £35 3 . £90 b 6 kg e 20 ml h 1 / 2 cm b 6 kg (0·25) 73% b 3% e 32 kg b 100 ml b c 6m f 150 km i 50p TJ Level E Homework Answers e 87% 5% 7 yen 6 c Dark 51% Light 22% White 27% f 2/1 0 0 c 0·99 f 0·01 2 7/ 100 (0·27) c 5 0/ 100 9 / 100 f 7 / 100 (0·09) c 42% f 40% c 8p c £12·50 (0·5) (0·07) Exercise 1 1 . a 3·2 cm (A5 = 2·3 cm) b 7·9 cm (A5 = 5·6 cm) c 6·4 cm (A5 = 4·5 cm) d 8·4 cm (A5 = 5·9 cm) 2 . a 41 mm (A5 = 29 mm) b 81 mm (A5 = 57 mm) 3 . a 8·2 cm, 3·1 cm, 0·9 cm, 5·7 cm (A5 = 5·8, 2·2, 0·6, 4·0) b 7·3 cm (A5 = 5·2 cm) 4 . 61 mm (A5 = 43 mm) 5 . a 115 mm b 11·5 cm c 11 cm 5 mm a (81 mm) b (8·1 cm) c (8 cm 1 mm) 6 . diagonal 9·2 cm see diagrams Chapter 13 2 5/ 100 Chapter 14 1. a E b B e B f G i F(1, 2) C(1, 4) j (i) 2 right, 1 up 2 . a/b see diagram S(3, 5) 3 . a see diagram b Dark 58% Light 20% White 22% 8 1/ 1 0 0 c 5 0/ 1 0 0 d 2 2/ 1 0 0 e 8/1 0 0 3 . a 0·21 b 0·89 d 0·6 e 0·04 9 1 4. a / 100 (0·91) b 1 . a (1, 4 ) b (2, 1 ) c (3, 5 ) d (4, 0 ) e (0, 3 ) f (5, 2 ) 2 . a (i) V (ii) U (iii) S (iv) Y b (i) (6, 10) (ii) (8, 8) (iii) (2, 2) (iv) (8, 2) c (i) SRWP (ii) S(2, 8) R(8, 8) W(8, 2) P(2, 2) 3 . a/b/c see diagram d pentagon 4 . a/b/ see diagram c F Chapter 12 Revision Exercise Exercise 2 1. a 10 b d 100 e 2. a 50 b 3. a 6 b 4 . a 500 b 5. a 9 b 6 . a 7000 b 7. a 3 b 8 . 14 m 9 . 3·08 m, 360 cm, Chapter 14 1 . a 204 mm 2 . a 70 mm 3 . 34·2 cm 4 . 95 mm 5 . 330 cm 6 . 2·8 m 7 . 1·4 km 8 . 800 m 1000 100 000 32 40 25 000 30 9300 0·2 175 700 650 0·2 4750 15·8 Exercise 3 b 20·4 cm b 35 mm Exercise 4 1 . a 33 cm 2 . 140 mm 3 . 22 cm 4 . a 11 cm 5 . £1020 b 61 cm Chapter 14 Exercise 5 page 8 c c c c c c 3·7 m, 3m 80 cm Chapter 14 1 . a 6 cm2 d 11 cm2 2 . a 17 cm2 c 1000 c 24 cm b 37 mm b 9 cm2 c 15 cm2 2 e 10·25 cm b 9 –11 cm2 d d d d d d 5 0·4 20 0·75 400 900 1 . a 90 cm2 2 . a 21 cm2 3 . 1800 m2 4. Bedroom 2 Bedroom 1 Boxroom Cupboard Playroom Bathroom Chapter 14 1. a 2. a 3. a 4. a b 5 . 15 b 12 cm2 = = = = = = 42 54 30 12 25 21 b 4. a b c d 5. a b c 81 cm2 m2 m2 m2 m2 m2 m2 Chapter 15 1. a see sketch c 20 cm2 see sketch c 12 cm2 10·5 cm2 c 4 cm2 (iv) 10 cm2 (iv) 12 cm2 d 10 cm2 d 6 cm2 d 14 cm2 Revision Exercise Exercise 1 1. a b c 2. a , b , c , A 3. a K d V Chapter 15 1. a b c d e f 2. a d A d Revision Exercise b c 2. a 3. a b c d e f 4. a 1 . a 2·4 cm (A5 = 1·7 cm) b 8·6 cm (A5 = 6·1 cm) 2 . a (i) 45 mm (32) (ii) 4·5 cm (3·2) (iii) 4 cm 5 mm (3, 2) b (i) 89 mm (63) (ii) 8·9 cm (6·3) (iii) 8 cm 9 mm (6, 3) 3 . 50 cm 4 . a 370 cm b 360 mm c 4900 m d 620 cm 5 . 230 cm 6 . a 6 cm2 b 36 cm2 c 168 mm2 Chapter 15 15, 18, 21 c 3 d 30 1, 1, 2, 3, 5, 8, 13, 21 4, 5, 9, 14, 23, 37, 60, 97 10, 20, 30, 50, 80, 130, 210, 340 5, 6, 11, 17, 28, 45, 73, 118 35, 48, 63, 80, 99 (100 x 102) c (1432 x 1434) Exercise 7 see sketch b see sketch b 12 cm2 b (iii) 20 cm2 (iii) 24 cm2 cm2 Chapter 14 3. a Exercise 6 T Chapter 14 , b P e W Chapter 16 Exercise 1 1 . a cuboid b sphere c cube d cone e cylinder f square based pyramid g triangular prism h hexagonal based pyramid 2. a 6 b square c 8 d 12 e vertical f HK, DE, GF g JE, KF, HG 3. a 6 b rectangular c 8 d 12 e (FA, ED, HC, GB) (FE, GH, BC, AD) (FG, AB, DC, EH) 4. a 5 b square + 4 triangles c 5 d 8 5. a 5 b 3 rectangles + 2 triangles c 6 d 9 6 . Faces = 1, Edges = 0, Vertices = 0 7 . cylinder, cube, hemisphere Chapter 16 Exercise 2 1 . a 108 cm 2 . 380 cm b 66 cm Chapter 16 Exercise 3 1./2./3. check diagrams 4. B c J f H Exercise 2 begin at 4, begin at 1, begin at 42, begin at 1, begin at 5·7, begin at 8·5, 14, 16 b 167, 198 e Q, T b p, n start at 1, go up in 2’s, 9, 11 start at 2, double each time, 64, 128 start at 6, go up in 3’s, 21, 24 start at 128, half each time, 8, 4 start at 27, go down in 3’s, 15, 12 start with 1, 1 add two previous terms, 21, 34 15 b 1 2 3 4 5 6 3 7 11 15 19 23 c start at 3, go up in 4’s each time d 79 go up by 2 go up in 4’s go down in 4’s go up by 101’s go up in 0·9’s go down in 0·25’s 30, 35 c 29, 23 9·8, 11·9 f 1·9, 0·7 TJ Level E Homework Answers Chapter 17 Exercise 1 1 . bath 2 . a spoon, mug, kettle, bucket b can, bottle, barrel 3 . a fridge, bread, beans, pea b jet, truck, car, bicycle, skateboard 4 . a 2 teaspoons b tablespoon c salt d 9 cups e 12 cups flour 8 tps sugar 16 tbls butter 2 cups milk 2 cups water 2 tps salt 5 160 6 a 300 b 12 000 page 9 Chapter 17 Exercise 2 1 . 1000 2 . a 900 ml 3 . a c, d 4 . a 400 ml b 600 ml b 800 ml b 400 ml Chapter 17 Exercise 3 1. a e 2. a e 1000 ml 2500 ml 3l 1·5 l Chapter 17 cm3 b f b f 2000 ml 4700 ml 9l 9·4 l c 200 ml d 400 ml c 100 ml too much (yes) c 2000 ml d 800 ml c g c g 6000 ml 300 ml 20 l 100 l d h d h 10 000 ml 50 ml 50 l 5·81 l Exercise 4 1. 6 5 . 17 cm3 9 . 31 cm3 2 . 9 cm3 6 . 17 cm3 10. 173 cm3 3 . 8 cm3 7 . 43 cm3 11. 27 cm3 Chapter 17 Revision Exercise 1 . a bath, bucket, cup, spoon b bottle, tin, spoon, basin 2 . 150 g 3. 42 4 . a 900 ml b 7·2 l 5 . a 600 ml b 300 ml 6 . 400 ml 7 . a 9 cm3 b 30 cm3 8 . a (i) 5000 ml (ii) 10000 ml b (i) 3 l (ii) 50 l 4 27 cm3 8. 52 cm3 (iii) 5100 ml (iii) 0·4 l TJ Level E Homework Answers page 10