Answers: Year 5 Textbook 2 Pages 4–12 Page 7 Page 10 · PDF file9. 678 639 + 200 002 =...

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Answers © Pearson Education Ltd 2014 1 Page 4 1. 4306 – 200 = 4106 2. 5735 – 2000 = 5795 3. 3673 – 2000 = 1673 4. 9323 + 400 = 9723 5. 8562 – 6001 = 2561 6. 2845 + 3030 = 5875 7. 77 635 – 5000 = 72 635 8. 57 629 + 60 = 57 689 9. 48 513 – 302 = 48 211 10. 64 226 + 20 001 = 84 227 11. 88 976 – 740 = 88 236 12. 96 818 + 2050 = 98 868 13. 567 635 + 20 000 = 587 635 14. 875 969 – 60 000 = 815 969 15. 344 873 + 5000 = 349 873 Think. Answers will vary. Page 5 1. 594 386 2. 873 207 3. 24 796 4. 201 269 5. 532 846 6. 743 913 – 900 = 743 013 7. 502 889 + 4000 = 506 889 8. 853 241 – 30 000 = 823 241 9. 340 537 – 300 000 = 40 537 10. 332 385 + 50 000 = 382 385 11. 36 789 + 200 000 = 236 789 12. 50 001 13. 483 064 14. 199 994 15. 470 305 16. 399 478 17. 697 998 18. 90 095 19. 529 995 Think. Three numbers to which adding 100 would cross a thousand. Page 6 1. 690 753 2. 976 304 3. 706 215 4. 236 839 5. 154 053 6. 674907 – 500 = 674 407 7. 145 786 + 4000 = 149 786 8. 453 231 – 40 000 = 413 231 9. 342 536 + 100 000 = 442 536 10. 897 385 – 50 = 897 335 11. 625 780 + 50 000 = 675 780 12. The sum of the two digit sums is always 9. Page 7 1. 70 7707 + 500 = 708 207 2. 355 969 – 6000 = 349 969 3. 567 635 + 200 080 = 767 715 4. 875 963 – 600 008 = 275 955 5. 743 135 + 20 070 = 763 205 6. 966 241 – 330 030 = 636 211 7. 652 224 + 601 = 652 825 8. 803 114 – 600 200 = 202 914 9. 678 639 + 200 002 = 878 641 10. 194 507 – 60 020 = 134 487 11. 975 289 – 600 045 = 375 244 12. 867 675 + 20 005 = 887 680 13. 975 923 – 600 904 = 375 019 14. 366 515 + 2700 = 369 215 15. 878 154 – 608 020 = 270 134 16. 777 357 + 200 050 = 977 407 17. 385 922 – 60 081 = 325 841 18. 557 605 + 3000 = 560 605 19. 821 944 – 600 509 = 221 435 20. 847 378 + 100 730 = 948 108 Think. Answers will vary. Page 8 1. a = 51 200, b = 51 450, c = 51 760 2. d = 251 300, e = 251 550, f = 251 830 3. g = 33 300, h = 33 490, i = 33 660, j = 33 910 4. k = 133 050, l = 133 210, m = 133 670, n = 133 880 The number given between each pair will vary. 5. 215 000 [ ] 356 000 6. 579 900 [ ] 743 500 7. 320 560 [ ] 350 380 8. 827 660 [ ] 873 920 Page 9 1. a = 342 100, b = 342 330. c = 342 560, d =342 790 2. e =164 050, f = 164 280, g = 164 590, h = 164 910 3. i = 520 000, j = 538 000, k = 561 000, l = 587 000 4. m = 710 000, n = 746 000, o = 773 000, p = 791 000 The number given between each pair will vary. 5. 357 886 [ ] 771 352 [ ] 836 412 6. 523 994 [ ] 563 585 [ ] 565 003 7. 219 268 [ ] 278 584 [ ] 283 111 8. 827 663 [ ] 828 699 [ ] 828 921 Page 10 1. 463 500 ÷ 10 = 46 350 2. 472 × 1000 = 472 000 3. 887 530 ÷ 100 = 8875·3 4. 5·2 × 1000 = 5200 5. 905 500 ÷ 1000 = 905·5 6. 3·75 × 1000 = 3750 7. 943 772 ÷ 100 = 9437·72 8. 895·34 × 1000 = 895 340 9. 463 532 ÷ 10 = 46 353·2 10. 27 407·5 × 10 = 274 075 11. 130 ÷ 1000 = 0·13 12. 507·02 × 100 = 50 702 13. 3647 ÷ 100 = 36·47 14. 8785·72 × 100 = 878 572 15. False 16. False 17. True 18. True Page 11 1. 664 785 ÷ 10 = 66 478·5 2. 97·2 × 1000 = 97 200 3. 769531 ÷ 100 = 7695·31 4. 45·64 × 1000 = 45 640 5. 95 800 ÷ 1000 = 95·8 6. 3·09 × 100 = 309 7. 567256 ÷ 100 = 5672·56 8. 320·75 × 1000 = 320 750 9. 83 502 ÷ 100 = 835·02 10. 895·03 × 1000 = 895 030 11. 773 593 ÷ 10 = 77 359·3 12. 27 407·55 × 10 = 274 075·5 13. 4320 ÷ 1000 = 4·32 14. 87·01 × 100 = 8701 15. 647 ÷ 100 = 6·47 16. 5000·72 × 100 = 500 072 17. 264·7 ÷ 10 = 26·47 18. 20·09 × 1000 = 20 090 19. False 20. True 21. False 22. False Think. Any 3-digit number with two decimal places, which when multiplied by 1000 gives a tens digit of 7. Page 12 1. 0·22, 0·31, 0·33, 0·42 2. 0·52, 0·53, 0·54, 0·63 3. 0·66, 0·75, 0·76, 0·86 4. 0·85, 0·86, 0·87, 0·95 5. 0·83, 0·91, 0·92, 0·93 6. 0·89, 0·90, 1·00 Answers: Year 5 Textbook 2 Pages 4–12

Transcript of Answers: Year 5 Textbook 2 Pages 4–12 Page 7 Page 10 · PDF file9. 678 639 + 200 002 =...

Page 1: Answers: Year 5 Textbook 2 Pages 4–12 Page 7 Page 10 · PDF file9. 678 639 + 200 002 = 878 641 10. 194 507 – 60 020 = 134 487 11. ... 16. 777 357 + 200 050 = 977 407 17. 385 922

Answers © Pearson Education Ltd 2014 1

Page 41. 4306 – 200 = 41062. 5735 – 2000 = 57953. 3673 – 2000 = 16734. 9323 + 400 = 97235. 8562 – 6001 = 25616. 2845 + 3030 = 58757. 77 635 – 5000 = 72 6358. 57 629 + 60 = 57 6899. 48 513 – 302 = 48 21110. 64 226 + 20 001 = 84 22711. 88 976 – 740 = 88 23612. 96 818 + 2050 = 98 86813. 567 635 + 20 000 = 587 63514. 875 969 – 60 000 = 815 96915. 344 873 + 5000 = 349 873Think. Answers will vary.

Page 51. 594 3862. 873 2073. 24 7964. 201 2695. 532 8466. 743 913 – 900 = 743 0137. 502 889 + 4000 = 506 8898. 853 241 – 30 000 = 823 2419. 340 537 – 300 000 = 40 53710. 332 385 + 50 000 = 382 38511. 36 789 + 200 000 = 236 78912. 50 00113. 483 06414. 199 99415. 470 305 16. 399 478 17. 697 998 18. 90 095 19. 529 995Think. Three numbers to which adding 100 would cross a thousand.

Page 61. 690 7532. 976 3043. 706 2154. 236 8395. 154 0536. 674907 – 500 = 674 4077. 145 786 + 4000 = 149 7868. 453 231 – 40 000 = 413 2319. 342 536 + 100 000 = 442 53610. 897 385 – 50 = 897 33511. 625 780 + 50 000 = 675 78012. The sum of the two digit sums

is always 9.

Page 71. 70 7707 + 500 = 708 2072. 355 969 – 6000 = 349 9693. 567 635 + 200 080 = 767 7154. 875 963 – 600 008 = 275 9555. 743 135 + 20 070 = 763 2056. 966 241 – 330 030 = 636 2117. 652 224 + 601 = 652 8258. 803 114 – 600 200 = 202 9149. 678 639 + 200 002 = 878 64110. 194 507 – 60 020 = 134 48711. 975 289 – 600 045 = 375 24412. 867 675 + 20 005 = 887 68013. 975 923 – 600 904 = 375 01914. 366 515 + 2700 = 369 215 15. 878 154 – 608 020 = 270 13416. 777 357 + 200 050 = 977 40717. 385 922 – 60 081 = 325 84118. 557 605 + 3000 = 560 60519. 821 944 – 600 509 = 221 43520. 847 378 + 100 730 = 948 108Think. Answers will vary.

Page 81. a = 51 200, b = 51 450, c = 51 7602. d = 251 300, e = 251 550,

f = 251 8303. g = 33 300, h = 33 490,

i = 33 660, j = 33 9104. k = 133 050, l = 133 210,

m = 133 670, n = 133 880The number given between each pair will vary.5. 215 000 [ ] 356 0006. 579 900 [ ] 743 5007. 320 560 [ ] 350 3808. 827 660 [ ] 873 920

Page 91. a = 342 100, b = 342 330.

c = 342 560, d =342 7902. e =164 050, f = 164 280,

g = 164 590, h = 164 9103. i = 520 000, j = 538 000,

k = 561 000, l = 587 0004. m = 710 000, n = 746 000,

o = 773 000, p = 791 000The number given between each pair will vary.5. 357 886 [ ] 771 352 [ ] 836 4126. 523 994 [ ] 563 585 [ ] 565 0037. 219 268 [ ] 278 584 [ ] 283 1118. 827 663 [ ] 828 699 [ ] 828 921

Page 101. 463 500 ÷ 10 = 46 3502. 472 × 1000 = 472 0003. 887 530 ÷ 100 = 8875·34. 5·2 × 1000 = 52005. 905 500 ÷ 1000 = 905·56. 3·75 × 1000 = 37507. 943 772 ÷ 100 = 9437·728. 895·34 × 1000 = 895 3409. 463 532 ÷ 10 = 46 353·210. 27 407·5 × 10 = 274 07511. 130 ÷ 1000 = 0·1312. 507·02 × 100 = 50 70213. 3647 ÷ 100 = 36·4714. 8785·72 × 100 = 878 572 15. False 16. False 17. True 18. True

Page 111. 664 785 ÷ 10 = 66 478·52. 97·2 × 1000 = 97 2003. 769531 ÷ 100 = 7695·314. 45·64 × 1000 = 45 6405. 95 800 ÷ 1000 = 95·86. 3·09 × 100 = 3097. 567256 ÷ 100 = 5672·568. 320·75 × 1000 = 320 7509. 83 502 ÷ 100 = 835·0210. 895·03 × 1000 = 895 03011. 773 593 ÷ 10 = 77 359·312. 27 407·55 × 10 = 274 075·513. 4320 ÷ 1000 = 4·3214. 87·01 × 100 = 870115. 647 ÷ 100 = 6·4716. 5000·72 × 100 = 500 07217. 264·7 ÷ 10 = 26·4718. 20·09 × 1000 = 20 09019. False20. True21. False 22. False Think. Any 3-digit number with two decimal places, which when multiplied by 1000 gives a tens digit of 7.

Page 121. 0·22, 0·31, 0·33, 0·422. 0·52, 0·53, 0·54, 0·633. 0·66, 0·75, 0·76, 0·864. 0·85, 0·86, 0·87, 0·955. 0·83, 0·91, 0·92, 0·936. 0·89, 0·90, 1·00

Answers: Year 5 Textbook 2 Pages 4–12

Page 2: Answers: Year 5 Textbook 2 Pages 4–12 Page 7 Page 10 · PDF file9. 678 639 + 200 002 = 878 641 10. 194 507 – 60 020 = 134 487 11. ... 16. 777 357 + 200 050 = 977 407 17. 385 922

Answers © Pearson Education Ltd 2014 2

Answers: Year 5 Textbook 2 Pages 13–23

Page 131. 2·7 + 3·9 = 2·7 + 3 – 0·1 = 6·6 2. 1·4 + 6·9 = 1·4 + 7 - 0·1 = 8·33. 5·3 + 2·9 = 5·3 + 3 - 0·1 = 8·24. 7·2 + 1·9 = 7·2 + 2 - 0·1 = 9·15. 126 + 39 = 126 + 40 - 1 = 1656. 3·5 + 299 = 3·5 + 300 - 1

= 302·57. 2·2 + 3·5 = 3 + 2 + 0·5

+ 0·2 = 5·78. 5·4 + 6·3 = 6 + 5 + 0·4

+ 0·3 = 11·79. 7·7 + 4·2 = 7 + 4 + 0·7

+ 0·2 = 11·910. 2·7 + 4·5 = 4 + 2 + 0·7

+ 0·5 = 7·2Suggest using partitioning for 11, 14 and 16 and rounding for 12, 13 and 15. 11. 5·7 + 6·2 = 11·912. 9·5 + 3·9 = 13·413. 7·3 + 4·9 = 12·214. 2·8 + 6·4 = 9·215. 5·6 + 39 = 44·616. 8·2 + 8·3 = 16·5Think. A decimal addition which would be best solved using rounding.

Page 141. 45·8 + 6·3 = 52·12. 29·9 + 8·2 = 38·13. 7·4 + 11·3 = 18·74. 163 + 29 = 1925. 199 + 7·6 = 206·66. 7·5 + 5·2 = 12·77. 54 + 82 = 1368. 39·9 + 5·6 = 45·59. 72 + 93 = 16510. 4·4 + 12·5 = 16·911. 32·4 + 29·9 = 62·312. 217 + 198 = 41513. 12·4 + 4·5 = 16·914. 16·4 + 24·2 = 40·615. 69·9 + 6·5 = 76·416. 25·4 + 7·4 = 32·817. 41·9 m18. 12·7 cmThink. Two decimals which total 13·6.

Page 151. 39·2 kg2. 50·9 kg3. 69·5 m4. 71·3 m5. 68·6 m6. There are 15 possible additions.

Page 161. 55 + 45 = 100, 1·55 + 0·45 = 22. 49 + 51 = 100, 5·49 + 0·51 = 63. 28 + 72 = 100, 3·28 + 0·72 = 44. 73 + 27 = 100, 4·73 + 0·27 = 55. 62 + 38 = 100, 2·62 + 0·38 = 36. 54 + 46 = 100, 7·54 + 0·46 = 87. 31 + 69 = 100, 8·31 + 0·69 = 98. 86 + 14 = 100, 6·86 + 0·14 = 7Think. Answers related to 0·47 + 0·53 = 1

Page 171. 5·71 + 0·29 = 62. 7·56 + 0·44 = 83. 3·47 + 0·53 = 44. 0·04 + 2·96 = 35. 1·29 + 0·71 = 2 6. 0·18 + 5·82 = 67. 0·26 + 8·74 = 98. 6·19 + 0·81 = 79. 16·27 + 0·73 + 8 = 2510. 7·35 + 0·65 + 7 = 1511. 15·16 + 0·84 + 3 = 1912. 11·38 + 0·62 + 9 = 2113. 22·49 + 0·51 + 7 = 3014. 19·52 + 0·48 + 7 = 2715. 8·84 + 0·16 + 9 = 1816. 7·62 + 0·38 + 20 = 28 Think. A decimal addition including + 0·33 which totals 19.

Page 181. 13·62. 5·9 3. 10·14. 0·33 m 5. 0·66 m 6. 88607. £1·328. 236 + 57 = 293 seconds

Page 191. 0·73 km 2. £1153. 874. £0·82 or 82p5. £55826. 5·3 m, 530p or £5·307. £0·37 8. 57

Page 201. 250 m2. 1538 m3. 28·1 m4. 434 cm5. 40·7 miles per hour6. 17·4 km

Page 21Questions should be answered using full sentences.1. The sky-diver free-fell 154 m.2. The biker has 726 m to go to

finish the race. 3. Alan has 1266 m still to go.4. The summit is 325 m above Joe.5. Keira needed to kite surf

141 km further.6. The snowboarder had 1626 m

left to go.7. The scuba diver has 226 cm

to go to reach the surface.8. Felix went 1437 m with his

parachute open.

Page 221. Jo still has 2162 m to go.2. The expensive bike is £2255

more expensive than Jo’s.3. The snowboarder still has

616 m to go.4. 1246 cm of rope will fall to the

floor of the cave.5. Marik still has 1164 cm of rope

below him.6. The potholer climbed 2664 cm

down and back up the rope.7. The base jumper free-fell for

4352 m.8. Tanya was 23 954 m from

the finish.

Page 231. 120, 124, 144, 320, 504, 3422. 120, 3203. 25, 120, 105, 320, 1354. 333, 144, 504, 342, 1355. 120, 333, 105, 144, 504, 342, 1356. 120, 124, 144, 320, 5047. 324, 300, 108, 4028. 324, 224, 300, 1089. 324, 300, 108Think. a) any multiple of 2 and 9

b) any multiple of 4 and 9 c) any multiple of 3 and 5 d) any multiple of 9 and 10

Page 3: Answers: Year 5 Textbook 2 Pages 4–12 Page 7 Page 10 · PDF file9. 678 639 + 200 002 = 878 641 10. 194 507 – 60 020 = 134 487 11. ... 16. 777 357 + 200 050 = 977 407 17. 385 922

Answers © Pearson Education Ltd 2014 3

Answers: Year 5 Textbook 2 Pages 24–32

Page 241. 400, 564, 730, 348, 3602. 400, 730, 3603. 125, 400, 685, 730, 3604. 117, 909, 3605. 564, 117, 348, 909, 3606. 400, 564, 348, 3607. 213, 711, 612, 708, 8978. 224, 612, 7089. 612 and 70810. True11. False12. False13. True14. True

Page 251. There are 15 prime numbers up

to 50: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47

2. Answers will vary. Numbers with more than three pairs of factors include 24, 30, 36, 48 etc.

Think. No, as this would make them divisible by 2 and therefore not prime. A 2-digit prime number can end in 1, 3, 7 or 9.

Page 261. 23, 292. 31, 373. 71, 73, 794. 975. 1 × 27, 3 × 96. 1 × 36, 2 × 18, 3 × 12, 4 × 9, 6 × 67. 1 × 45, 3 × 15, 5 × 98. 1 × 64, 2 × 32, 4 × 16, 8 × 89. 1 × 72, 2 × 36, 3 × 24, 4 × 18,

6 × 12, 8 × 910. 1 × 51, 3 × 1711. True12. False13. True14. True15. TrueThink. 17 and 71, 37 and 73, 79 and 97

Page 273. 35. 57. 79. 910. 11, 13, 15, 17, 19, 21, 23, 2511. 19612. 225, 25613. 44114. 676Think. Add on 2 more than the difference between the two previous square numbers.

Page 281. 450 ÷ 9 = 502. 84 ÷ 3 = 283. 360 ÷ 4 = 904. 96 ÷ 6 = 165. 128 ÷ 4 = 326. 126 ÷ 6 = 217. 114 ÷ 3 = 388. 720 ÷ 9 = 809. 145 ÷ 5 = 2910. 300 ÷ 4 = 7511. 1512. 3713. £2914. 70

Page 29Children to estimate order of answers 1-6, smallest to largest, before they start.1. 480 / 8 = 602. 138 / 6 = 233. 279 / 9 = 314. 264 / 4 = 665. 108 / 3 = 366. 490 / 7 = 707. 328. 339. 3910. 119Think: No, both numbers have a remainder of 6.Any multiples of 8, + 6.

Page 301. right-angled scalene 2. scalene3. right-angled isosceles4. isosceles5. right-angled scalene6. isosceles7. right-angled isosceles8. isosceles9. scalene 10. scalene11. scalene 12. scalene13. 3, 4, 6, 7 and 814. True15. True16. False 17. True 18. True 19. False

Page 311. 400 g2. 1·25 kg or 1250 g3. 3·5 kg or 3500 g4. 67 kg5. 2000 g6. 3500 g7. 11 300 g8. 4700 g9. 12 600 g10. 30 400 g11. 0·65 kg12. 0·25 kg13. 1·01 kg14. 0·87 kg15. 1·65 kg16. 3·04 kgThink. A drawn scale that can weigh items < 250 g.

Page 321. 350 g2. 1·9 kg3. 2·75 kg4. 47·5 kg5. True6. True7. False8. True9. True10. False11. TrueThink. 125 g. Other answers will vary.

Page 4: Answers: Year 5 Textbook 2 Pages 4–12 Page 7 Page 10 · PDF file9. 678 639 + 200 002 = 878 641 10. 194 507 – 60 020 = 134 487 11. ... 16. 777 357 + 200 050 = 977 407 17. 385 922

Answers © Pearson Education Ltd 2014 4

Answers: Year 5 Textbook 2 Pages 33–42

Page 331. 4000 ml2. 500 ml3. 200 ml4. 1400 ml5. 250 ml6. 1750 ml7. 3 l8. 0·4 l9. 1·5 l10. 0·75 l11. 2·8 l12. 3·25 l13. 300 ml14. 800 ml 15. 600 ml 16. 900 ml 17. 200 ml 18. 500 ml 19. 700 ml 20. 250 ml Think. 0·2 litres, 350 ml, 500 ml, 0·75 litres, 1200 ml, 1·4 litres

Page 34Children's answers may vary slightly from these values.1. 150 ml2. 250 ml3. 1250 ml4. 1700 ml5. 725 ml 6. 650 ml7. 50 ml8. 125 ml9. 1900 ml10. 675 ml11. 1225 ml 12. 950 ml13. 350 ml14. 1450 ml15. 850 ml16. 1125 mlThink. 30 000

Page 351. 3 km2. 7·5 km3. 11 km4. 0·25 km5. 8·7 km6. 4·2 km7. 8·76 km8. 5·01 km9. 0·05 km10. 0·101 km

11. 5000 m12. 13 000 m13. 800 m14. 4300 m 15. 1280 m 16. 80 m 17. 2650 m 18. 5735 m 19. 10 070 m 20. 4 mThink. Answers will vary, e.g. 0·23 km = 230 m

Page 36Answers will be estimates, so may vary from those given: 16 km, 24 km, 19 km, 13 km, 45 kmThink. 73 miles, 117 km

Page 37Questions should be answered using column addition. 1. £45·552. £45·633. £56·454. £55·005. £52·546. £64·967. £43·858. £64·98Think. Yes. Cost of all three items £29·91.

Page 38Questions should be answered using column addition.1. £96·912. £81·973. £87·904. £78·195. £98·636. £64·697. 61·898. 92·879. 66·9110. 83·8311. 57·2412. 98·60Think. Yes. Pounds and pence are decimal values.

Page 39Questions should be answered using column addition.1. £90·482. £96·163. £43·87

4. £87·195. £71·596. £128·727. 66·898. 72·869. 76·6310. 79·0311. 61·6812. 100·59Think. Two 2-digit decimal money values which add to £100, including moving a digit from the 10p column to the £1s column.

Page 40Questions should be answered using column addition.1. 70·56 kg2. 74·65 kg3. £118·484. £126·195. £119·846. 155·297. 93·678. 119·049. 128·0810. 139·2811. 106·0812. 167·96Think. Answers will vary.

Page 411-3. Answer will vary. For example,

1·28 + 4·274-7. There are four ways of making

the hundredths column, two ways of making the tenths column and six ways of making the ones column. 4 × 2 × 6 = 48, so there are 48 ways in total.

Page 42 1. 13·2 – 10·54 = 2·662. 9·2 – 7·39 = 1·81 3. 13·4 – 10·76 = 2·644. 6·1 – 4·18 = 1·925. 11·5 - 9·66 = 1·846. 10·21 – 8·63 = 1·58 7. 15·18 – 10·59 = 4·598. 13·61 – 11·93 = 1·689. 18·72 – 12·85 = 5·8710. 1·85 m11. 2·33 kg12. 5·68 km13. £2·51Think. Answers will vary.

Page 5: Answers: Year 5 Textbook 2 Pages 4–12 Page 7 Page 10 · PDF file9. 678 639 + 200 002 = 878 641 10. 194 507 – 60 020 = 134 487 11. ... 16. 777 357 + 200 050 = 977 407 17. 385 922

Answers © Pearson Education Ltd 2014 5

Answers: Year 5 Textbook 2 Pages 43–52

Page 431. 11·42 – 7·53 = 3·892. 13·21 – 9·74 = 3·473. 17·23 – 13·77 = 3·464. 24·45 – 19·28 = 5·175. 23·34 – 17·56 = 5·786. 22·21 – 18·88 = 3·337. 26·34 – 22·79 = 3·558. 46·45 – 45·56 = 0·899. 33·23 – 29·78 = 3·4510. 21·66 – 8·32 = 13·3411. 16·45 cm12. 10·25 cm²13. £77·4914. £1·57Think. There are three ways: 1·56, 1·65 and 5·16.

Page 441. 9·2 – 6·53 = 2·672. 13·21 – 9·74 = 2·353. 16·4 – 14·87 = 1·534. 23·4 – 19·66 = 3·745. 9·11 – 5·84 = 3·276. 8·21 – 4·68 = 3·53 7. 15·11 – 9·77 = 5·348. 16·52 – 10·49 =6·039. 29·13 – 25·81 = 3·3210. 39·05 – 35·38 = 3·67

Page 451. 17·23 – 9·65 = 7·582. 22·16 – 10·48 = 11·683. 23·12 – 12·65 = 10·474. 32·07 – 29·38 = 2·695. 50·43 – 46·65 = 3·786. 35·64 – 22·77 = 12·877. 8·15 – 4·72 = 3·438. 11·71 – 7·37 = 4·349. 16·64 –9·59 = 7·0510. 18·36 – 14·74 = 3·6211. 25·17 – 19·74 = 5·4312. 35·83 – 33·27 = 2·56Think. Any four subtractions from the page checked using addition.

Page 461. 23 × 35 = 8052. 34 × 32 = 10883. 44 × 26 = 11444. 39 × 45 = 17555. 28 × 24 = 6726. 42 × 36 = 15127. 54 × 34 = 18368. 62 × 25 = 15509. 42 × 19 = 79810. 53 × 74 = 3922

11. 69 × 17 = 117312. 83 × 45 = 3735Think. Yes. It is 368.

Page 471. £8642. £7563. £18484. £10565. £25836. £696Questions 7-12 should be answered using the grid method.7. 1904 8. 16129. 91210. 589611. 537612. 537213. True14. False15. False16. True17. False18. TrueThink. No, see question 17.

Page 481. 360 ÷ 3 = 1202. 440 ÷ 4 = 1103. 303 ÷ 3 = 1014. 306 ÷ 3 = 1025. 660 ÷ 6 = 1106. 330 ÷ 3 = 1107. 408 ÷ 4 = 1028. 480 ÷ 4 = 1209. 404 ÷ 4 = 10110. 10511. 201Think. She has got the place value wrong. Correct answers are 210, 110 and 220.

Page 491. 448 ÷ 4 = 1122. 484 ÷ 4 = 1213. 369 ÷ 3 = 1234. 633 ÷ 3 = 2115. 639 ÷ 3 = 213 6. 963 ÷ 3 = 3217. 555 ÷ 5 = 1118. 999 ÷ 3 = 3339. 884 ÷ 4 = 22110. 848 ÷ 4 = 21211. 693 ÷ 3 = 23112. 777 ÷ 7 = 111

Think. Two divisions, one with the answer 111 and another with the answer 222.

Page 501. 456 ÷ 4 = 1142. 852 ÷ 4 = 2133. 696 ÷ 6 = 1164. 642 ÷ 3 = 2145. 585 ÷ 5 = 1176. 975 ÷ 3 = 3257. 595 ÷ 5 = 1198. 387 ÷ 3 = 1299. 948 ÷ 3 = 31610. 678 ÷ 6 = 11311. 836 ÷ 4 = 20912. 687 ÷ 3 = 229Think. At least one division with the answer 114.

Page 51Think. Questions 8-12 will have remainders.1. 836 ÷ 4 = 2092. 896 ÷ 8 = 1123. 798 ÷ 7 = 1144. 648 ÷ 6 = 1085. 856 ÷ 8 = 1076. 924 ÷ 3 = 3087. 696 ÷ 6 = 1168. 587 ÷ 5 = 117 r 29. 859 ÷ 4 = 214 r 310. 620 ÷ 3 = 206 r 211. 836 ÷ 8 = 104 r 412. 987 ÷ 9 = 109 r 6Think. Several divisions with the answer 123 r 1.

Page 521. 568 ÷ 4 = 1422. 516 ÷ 3 = 1723. 805 ÷ 5 = 1614. 684 ÷ 4 = 1715. 754 ÷ 3 = 251 r 16. 849 ÷ 6 = 141 r 37. 848 ÷ 3 = 282 r 28. 576 ÷ 4 = 1449. 767 ÷ 5 = 153 r 210. 21411. 121

Page 6: Answers: Year 5 Textbook 2 Pages 4–12 Page 7 Page 10 · PDF file9. 678 639 + 200 002 = 878 641 10. 194 507 – 60 020 = 134 487 11. ... 16. 777 357 + 200 050 = 977 407 17. 385 922

Answers © Pearson Education Ltd 2014 6

Answers: Year 5 Textbook 2 Pages 53–63

Page 531. 147 ÷ 3 = 492. 236 ÷ 4 = 593. 258 ÷ 6 = 434. 637 ÷ 7 = 915. 288 ÷ 3 = 966. 307 ÷ 4 = 76 r 37. 634 ÷ 8 = 79 r 28. 259 ÷ 5 = 51 r 49. 275 ÷ 7 = 39 r 210. 743 ÷ 9 = 82 r 5Think. Answers will vary but should suggest that an answer will be 3-digit if the divisor is smaller than (goes into) the first digit of a 3-digit number.

Page 541. 2142. 127 days3. 158 minutes4. 1625. 130 boxes, or 129 boxes with 3

eggs left over.6. 1207. 1198. 47Think. A word problem for 686 ÷ 8. Answer will be 85 r 6 or 85 or 86, depending on context.

Page 55 1. 1

3 of 69 = 23, 2

3 of 69 = 46

2. 15 of 95 = 19, 3

5 of 95 = 57

3. 14 of 96 = 24, 3

4 of 96 = 72

4. 13 of 84 = 28, 2

3 of 84 = 56

5. 16 of 84 = 14, 5

6 of 84 = 70

6. 13 of 336 = 112, 2

3 of 336 = 224

7. 14 of 484 = 121, 3

4 of 484 = 363

8. 13 of 993 = 331, 2

3 of 993 = 662

9. 15 of 655 = 131, 4

5 of 655 = 524

10. 16 of 696 = 116, 5

6 of 696 = 580

Think. 9, 27

Page 561. 1

3 of 426 = 142, 2

3 of 426 = 284

2. 15 of 725 =145, 3

5 of 725 =435

3. 14 of 684 = 171, 3

4 of 684 = 513

4. 13 of 435 = 145, 2

3 of 435 = 290

5. 16 of 852 =142, 5

6 of 852 = 710

6. 18 of 336 = 42, 3

8 of 336 = 126

7. 19 of 648 = 72, 2

9 of 648 = 144

8. 13 of 813 = 271, 2

3 of 813 = 542

9. 17 of 462 = 66, 2

7 of 462 = 132

10. 18 of 976 = 122, 5

8 of 976 = 610

Think. Answers will vary but must be a fraction of £48 which produces a whole number amount. Halves, thirds, quarters, sixths, eighths, twelfths, sixteenths and twenty-fourths of £48 give whole number answers.

Page 571. 218 × 4 = 8722. 327 × 3 = 9813. 462 × 4 = 18484. 113 × 5 = 5655. 324 × 3 = 9726. 121 × 8 = 9687. 316 × 4 = 12648. 529 × 3 = 15879. 216 × 5 = 108010. 243 × 3 = 72911. 312 × 8 = 249612. 917 × 4 = 3668Think. 3

Page 581. 824 × 4 = 32962. 728 × 3 = 21843. 261 × 6 = 15664. 506 × 7 = 35425. 158 × 8 = 12646. 217 × 9 = 19537. 315 × 4 = 12608. 714 × 8 = 57129. 557 × 7 = 389910. 4 11. 512. 413. 214. 515. 4Think. The missing digit is 4 so the multiplication is 246 × 4 = 984.

Page 591. 816 × 4 = 3264 2. 928 × 3 = 27843. 471 × 4 = 18844 356 × 4 = 14245. 589 × 3 = 17676. 276 × 5 = 13807. 1491 km8. 2202 km9. 2608 km10. 3078 km11. 6568 km12. 4725 km

Page 601. 324 × 3 = 9722. 126 × 3 = 3783. 321 × 5 = 16054. 1253 × 3 = 37595. 2125 × 4 = 85006. 1214 × 4 = 48567. 1114 × 5 = 55708. 3214 × 3 = 96429. 166410. £3720Think. Three multiplications with answers between 1000 and 1200.

Page 611. 2318 × 4 = 92722. 3247 × 3 = 97413. 5161 × 5 = 25 8054. 3027 × 6 = 18 1625. 4156 × 3 = 12 4686. 5159 × 4 = 20 6367. 2116 × 8 = 16 9288. 5913 × 7 = 41 3919. 5004 miles10. 576611. 581512. £33 65613. 28 462

Page 621. 819 × 4 = 32762. 928 × 3 = 27843. 856 ÷ 4 = 2144. 9318 × 4 = 37 2725. 381 ÷ 3 = 1276. 690 ÷ 6 = 1157. 7724 × 3 = 23 1728. 4602 × 5 = 23 0109. 195 ÷ 5 = 3910. 496 ÷ 8 = 62Think. Two divisions on the page checked using multiplication.

Page 631. 28922. £1593. 20644. 1720 g5. 12966. £20347. £104·968. 16

Page 7: Answers: Year 5 Textbook 2 Pages 4–12 Page 7 Page 10 · PDF file9. 678 639 + 200 002 = 878 641 10. 194 507 – 60 020 = 134 487 11. ... 16. 777 357 + 200 050 = 977 407 17. 385 922

Answers © Pearson Education Ltd 2014 7

Answers: Year 5 Textbook 2 Pages 64–67

Page 641. Any regular polygon.2. A rectangle with a length

of 8 cm and width of 4 cm.3. Any polygon with two opposite

acute angles and two opposite obtuse angles.

4. A right-angled triangle.5. Description D6. Description B or E7. Description A or B8. Description C or D Think. Answers will vary.

Page 651. A polygon is a 2D (flat) shape

with straight sides.2. Equilateral triangle; 3 equal

sides, 3 equal angles3. Rectangle; 2 opposite pairs

of equal and parallel sides, 4 right-angles

4. Regular pentagon; 5 equal sides, 5 equal angles

5. Irregular octagon; 8 unequal sides, 1 right angle and 7 obtuse angles

6. Kite; 2 adjacent pairs of equal sides, 1 right-angle

7. A drawing of a scalene right-angled triangle.

8. A drawing of an equilateral triangle.

9. A drawing of a pentagon with three right angles, e.g.

10. A drawing of a trapezium with 2 right angles, e.g.

Think. Circle, semi-circle, oval.

Page 661. arrowhead, three acute,

one reflex2. rhombus, two acute,

two obtuse3. arrowhead, two acute, one

reflex (the point is a right angle)

4. rhombus, two acute, two obtuse

5. kite, one acute, three obtuse6. trapezium, two acute,

two obtuse7. kite, one acute, three obtuse8. rhombus, two acute,

two obtuse9. trapezium, two acute,

two obtuse10. True11. True12. True13. True14. False15. False 16. False 17. True 18. TrueThink. Both have two pairs of equal sides and no right-angles; a rhombus has four equal sides.

Page 671. square rectangle parallelogram rhombus trapezium kite arrowhead

Has 4 sides blue blue blue blue blue blue blue

Has all sides the same length

blue

yellow

yellow

blue

red

red

red

Has only one pair of parallel sides

red

red

red

red

blue

red

red

Has two pairs of parallel sides

blue

blue

blue

blue

red

red

red

Has opposite sides equal

blue blue blue blue yellow red red

Has adjacent sides equal

blue yellow yellow blue yellow blue blue

Has line symmetry

blue blue yellow blue yellow blue blue

Has a right angle

blue blue yellow red yellow yellow yellow

Has an obtuse angle

red red yellow blue blue blue yellow

Has a reflex angle

red red red red red red blue

Think. square – diagonals cross at right angles and at midpoints alwaysrectangle – diagonals cross at midpoints always parallelogram – diagonals do not cross at right angles or at

midpoints (unless shapes is also rectangle or rhombus)rhombus – diagonals cross at right angles and at midpoints alwaystrapezium - diagonals do not cross at right angles or at midpointskite – diagonals cross at right

angles always but not at midpointsarrowhead – diagonals cross at right angles but outside the shape

Page 8: Answers: Year 5 Textbook 2 Pages 4–12 Page 7 Page 10 · PDF file9. 678 639 + 200 002 = 878 641 10. 194 507 – 60 020 = 134 487 11. ... 16. 777 357 + 200 050 = 977 407 17. 385 922

Answers © Pearson Education Ltd 2014 8

Answers: Year 5 Textbook 2 Pages 68–75

Page 681. Pentagon, 38°, acute2. Hexagon, 77°, acute3. Quadrilateral, 140°, obtuse4. Pentagon, 90°, right angle5. Hexagon, 100°, obtuse6. Octagon, 135°, obtuse7. Quadrilateral, 90°, right angle8. Heptagon, 270°, reflexThink. Irregular polygons are polygons that do not have both equal sides and equal angles.

Page 691. 60°, 180°2. 90°, 360°3. 108°, 540°4. 120°, 720°5. approximately 129°, 900° 6. 135°, 1080°7. It increases by 180° for each

additional side.Think. 1260°, 140°

Page 701. 1 kg – The sugar is 1 kg or

2 pounds 2 ounces 2. 270 ml – the mug of tea

is 270 ml or 12 pint

3. 120 g – the rice is 120 g or 4 ounces

4. 540 ml – The pint glass of drink is 540 ml or 1 pint

5. 5 cm × 10 cm × 60 cm – the piece of wood is 5 cm × 10 cm × 120 cm or 2 inches × 4 inches × 4 feet

6. 165 cm – the woman is 165 cm or 5 feet 5 inches

7. 4 kg8. 2 m 5 cm or 2·05 m

Page 711. d2. e3. a4. b5. c6. g7. f8. 8 pounds 2 ounces9. 6 foot 2 inches10. 1

2 gallonThink. Answers will vary.

Page 721. 2 3

6

2. 3 34

3. 2 13

4. 4 58

5. 3 25

6. 1 710

7. 1 89

8. 5 12

9. 3 712

10. 103

11. 173

12. 174

13. 74

14. 304

15. 345

16. 235

17. 275

18. 1310

19. 3110

20. 2710

21. 76

22. 116

23. 236

Think. 7, 8 or 9 whole pizzas.

Page 731. 7

3

2. 175

3. 74

4. 345

5. 238

6. 1710

7. 267

8. 116

9. 358

10. 353

11. 779

12. 4412

13. 8211

14. 1139

15. 10315

16. 1 35

= 85

17. 2 47 = 18

7

18. 3 23 = 11

3

19. 5 49

= 499

20. 6 38

= 518

21. 4 34

= 194

22. 8 710

= 8710

23. 2 56

= 176

24. 4 12

= 92

25. 7 45

= 395

26. 5 23 = 17

3

27. 3 215

= 4715

Think. 10 days = 1 37, 20 days = 2 6

7,

30 days = 4 27, 40 days = 5 5

7,

50 days = 7 17, 60 days = 8 4

7,

70 days = 10, 80 days = 11 37,

90 days = 12 67.

Page 741–5. Answers will vary. 6. If the denominator is odd and

the numerator is odd, then the numerator of the mixed number is always even.

If the denominator is odd and the numerator is even, then the numerator of the mixed number is always odd.

If the denominator is even and the numerator is odd, then the numerator of the mixed number is always odd.

If the denominator is even and the numerator is even, then the numerator of the mixed number is always even.

Thus if the denominator and numerator are both either odd or even the numerator of the mixed number is always even. If not, it will be odd.

Page 751. 3 3

4 = 30

8

2. 4 23 = 28

6

3. 5 12

= 448

4. 3 25

= 3410

5. 4 56

= 5812

6. 3 13 = 30

9

7. 2 14

= 2712

8. 3 38

= 5416

9. 1 45

= 3620

10. 4 34

= 9520

11. 2 25

= 2410

12. 3 47 = 50

14

13. 3 15

, 3 24

, 4 15

, 4 24

14. 73

15. 1 17, 1 3

5, 2 1

6, 2 2

5, 2 3

4, 3 1

5, 4 1

4, 4 2

3,

5 13, 6 1

2

Think: 5 12

, 5 13, 5 2

3, 5 1

4, 5 2

4, 5 3

4, 5 1

6,

5 26

, 5 36

, 5 46

, 5 17, 5 2

7, 5 3

7, 5 4

7, 5 6

7,

5 18

, 5 28

, 5 38

, 5 48

, 5 68

, 5 78

,6 12

, 6 13, 6 2

3,

6 14

, 6 24

, 6 34

, 6 15

, 6 25

, 6 35

, 6 45

, 6 17,

6 27, 6 3

7, 6 4

7, 6 5

7, 6 1

8, 6 2

8, 6 3

8, 6 4

8,

6 58

, 6 78

Page 9: Answers: Year 5 Textbook 2 Pages 4–12 Page 7 Page 10 · PDF file9. 678 639 + 200 002 = 878 641 10. 194 507 – 60 020 = 134 487 11. ... 16. 777 357 + 200 050 = 977 407 17. 385 922

Answers © Pearson Education Ltd 2014 9

Answers: Year 5 Textbook 2 Pages 76–84

Page 761. 4 × 2

3 = 2 2

3

2. 3 × 34

= 2 14

3. 45

× 3 = 2 25

4. 45

× 3 = 2 25

5. 5 × 58

= 1 78

6. 78

× 3 = 2 58

7. 34

× 5 = 3 34

8. 78

× 3 = 4 16

Think: 5

Page 771. 6 × 4

5 = 4 4

5

2. 56

× 7 = 5 56

3. 34

× 5 = 3 34

4. 6 × 25

= 2 25

5. 58

× 4 = 2 12

6. 6 × 49

= 2 23

7. 5 × 710

= 3 12

8. 78

× 5 = 4 38

9. 6 × 56

= 5

10. 79

× 3 = 2 13

Think. 3

Page 781. 3 × 4

5 = 2 2

5

2. 5 × 27 = 1 3

7

3. 2 × 59

= 1 19

4. 7 × 78

= 6 18

5. 7 × 34

= 5 14

6. 7 × 56

= 5 56

7. 3 × 710

= 2 110

8. 8 × 49

= 3 59

9. 9 × 38

= 3 38

10. 7 × 29

= 1 59

11. 9 × 35

= 5 25

12. 8 × 67 = 6 6

7Think. Any multiplication of a fraction by a whole number with a whole number answer.

Page 791. 4 × 4

5 = 3 1

5

2. 8 × 27 = 2 2

7

3. 3 × 59

= 1 23

4. 6 × 78

= 5 14

5. 9 × 23 = 6

6. 6 × 58

= 3 34

7. 8 × 34

= 6

8. 8 × 56

= 6 23

9. 8 × 710

= 5 35

10. 12 × 49

= 5 13

11. 11 × 310

= 3 310

12. 10 × 56

= 8 13

13. 12 × 38

= 4 12

14. 11 × 29

= 2 49

15. 20 × 35

= 12

16. 6 × 67 = 6

17. 30 × 18

= 3 34

18. 4 × 712

= 2 13

Think. Any multiplication of a fraction by a whole number with an answer of 4.

Page 80Questions should be answered using column subtraction.1. 31642. 48373. 46864. 69165. 32876. 22497. 13418. 46299. 340910. 441011. 442212. 398913. 806614. 663615. 3689Think. 1816

Page 81Questions should be answered using column subtraction.1. 63622. 32153. 75224. 10815. 45476. 58187. 47648. 45519. 665710. 186911. 364812. 1869Think. Answers will vary.

Page 82Questions should be answered using column subtraction.1. 25332. 51363. 47764. 1316

5. 28376. 17497. 12198. 45659. 326910. 438711. 459712. 338913. 486614. 687815. 399416. £173617. 884Think. One of the questions answered using Frog.

Page 83Questions should be answered using column subtraction.1. 4752. 45993. 55574. 17555. 14686. 17897. 13358. 45899. 334910. 345711. 439912. 392713. 36614. 673615. 369716. False17. True18. False, especially if you use Frog!Think. Answers will vary.

Page 84Questions should be answered using column subtraction.1. 31632. 12173. 18124. 73615. 13396. 33887. 33248. 24779. 191110. 2514Think. Three subtractions the child found difficult checked using addition.

Page 10: Answers: Year 5 Textbook 2 Pages 4–12 Page 7 Page 10 · PDF file9. 678 639 + 200 002 = 878 641 10. 194 507 – 60 020 = 134 487 11. ... 16. 777 357 + 200 050 = 977 407 17. 385 922

Answers © Pearson Education Ltd 2014 10

Answers: Year 5 Textbook 2 Pages 85–95

Page 851-11. Answers will vary.12. You always reach the number

909 whatever starting numbers you use.

13-14. The number of subtractions to reach the 3-digit number will vary according to the difference between the digits in the starting number.

Page 861. 8342 – 5685 = 2657

2. 9042 – 5677 = 3365

3. 7124 – 3486 = 3638

4. 8274 – 2597 = 5677

5. 7002 – 5786 = 1216

6. 6302 – 5547 = 755

7. 9452 – 5654 = 3798

8. 6010 – 3128 = 2882Think. Answers will vary.

Page 87Questions should be answered using column addition.1. 1452. 1433. 2524. 1105. 9756. 9457. 13058. 19849. 64410. 28411. 39912. 373Think. An addition of three 3-digit numbers which adds to 999, in which one of the columns adds to more than 10.

Page 88Questions should be answered using column subtraction.1. 2512. 2593. 2674. 3225. 1835 6. 15357. 20668. 25689. 111410. 98111. 17 971

12. 920613. 2430 m

Page 891. 2479 m2. 2971 m3. 1838 m4. Answers will vary.5. In 2014 ages are 4, 2, 1, 10, 6, 4,

16, 16, 46. 378 m7. 172 m, 399 m, 459 m, 491 m,

508 m, 516 m, 548 m, 548 m, 550 m

Think. Answers will vary.

Page 901. Answers will vary. 2. Answers will vary. 3. Answers will vary.4. Answers will vary.5. Answers will vary.6. £630

Page 911. 2272. £2003. 2234. £2365. 248 km6. £1237. £259

Page 92 1. 1617 g2. 1333 g3. 4758 g4. 2165 g5. £8196. £3797. 23 002

Page 93 1. 853 241 – 30 200 = 823 0412. 887 530 ÷ 100 = 8875·33. 5·2 × 1000 = 52004. 199 + 7·6 = 206·65. 16·27 + 0·73 + 8 = 256. 905 500 ÷ 1000 = 905·57. 7·2 + 5·2 = 12·78. £47·25 + £25·61 = £72·869. 13·4 – 10·76 = 2·64

10. 58

× 4 = 2·511. 6·1 – 4·18 = 1·9212. 7273 – 5957 = 131613. Question should be answered

using column addition, 26714. 16·4 + 24·2 = 40·615. 32 × 24 = 76816. 130 ÷ 1000 = 0·1317. 36 789 + 202 000 = 238 78918. 22·49 + 0·51 + 7 = 3019. 507·02 × 100 = 50 70220. 128 ÷ 4 = 3221. 27·53 + 34·15 = 61·6822. 15·18 – 10·59 = 4·59

23. 6 × 56

= 524. 13·61 – 11·93 = 1·6825. 638 ÷ 3 = 212 r 226. Question should be answered

using column addition, 920627. 1266 m

Page 94 1. 791 910 816 546 737 810 947 808

561 546 772, 492 804 546 679 468

2. Answers will vary.3. cat = 916, dog = 768,

hen = 1370, pig = 953, fox = 1370, owl = 1007. Hen and fox have the same total.

4. A jay

Page 95 5. bat = 824, ape = 1099;

difference = 2756. rat = 868, cow = 1122;

difference = 2547. yak = 1099, bee = 858;

difference = 2418. gnu = 1245, emu = 1108;

difference = 1379. Answers will vary.10. Answers will vary.11. Answers will vary.12. 189013. Answers will vary.