files.hamilton-trust.org.uk web viewdivision word problems. 1. 30 ÷ 4 = 7 r2. they need to...

Maths AnswersAutumn Year 4/5

Week 1:

Place value

20,000 + 450 = 20,450 5003 + 40,520 = 45,52331,000 + 273 = 31,273 10,000 + 725 = 10,725

40,444 + 4000 = 44,444 70,777 + 7000 = 77,77734,270 – 270 = 34,000 52,235 – 50,000 = 223524,752 – 50 = 24,702 72,896 – 72,000 = 896

44,444 – 4000 = 40,444 45,345 – 40,000 = 5345

Placing numbers on a 0-1000 line

Ordering and placing numbers on a 0-1000 line

a) 399 501 850 975b) 125 340 560 949c) 274 279 430 895

Ordering and placing numbers on a 0 – 10,000 line (E)

2500, 5000, 6000, 75002000, 3000, 4000, 50005000, 5500, 6000, 65001000, 1250, 2500, 7500

© Hamilton Trust Year 4/5 Autumn Maths Answers

Ordering and placing numbers on a 0-10,000 line

a) 3990 5001 8500 9750b) 1250 3400 5600 9490c) 2740 2790 4300 8950

Week 2:

2-digit + 2-digit grid with missing totals

+ 48 8024 72 10457 105 137

2-digit + 2-digit grid with missing numbers

+ 53 8025 78 10562 115 142

Adding two 2-digit numbers

+ 25 4020 45 6032 57 72

+ 35 4522 57 6753 88 98

+ 28 5823 51 8132 60 90

+ 75 4627 102 7331 106 77

+ 70 8536 106 12124 94 109

+ 89 9627 116 12339 128 135


Adding amounts of money

1. £24.32 + £14.63 = £38.95 2. £34.25 + £27.43 = £61.68 3. £41.48 + £35.26 = £76.74 4. £24.19 + £17.26 = £41.455. £46.25 + £23.94 = £70.19 6. £34.83 + £24.52 = £59.35 7. £64.50 + £23.75 = £88.25 8. £51.90 + £44.69 = £96.59 9. £27.58 + £24.80 = £52.38 10. £24.78 + £14.65 = £39.43 11. £38.60 + £27.45 = £66.05 12. £35.78 + £25.45 = £61.2313. £12.45 + £23.59 + £15.27 = £51.31 14. £24.67 + £14.25 + £16.45 = £55.37 15. £15.79 + £23.45 + £9.85 = £49.09

Under £50

£23.49 + £12.56 = £36.05 £23.49 + £11.89 = £35.38£23.49 + £18.25 = £41.74 £12.56 + £36.75 = £49.31£12.56 + £11.89 = £24.45 £12.56 + £18.25 = £30.81£36.75 + £11.89 = £48.64 £11.89 + £18.25 = £30.14£23.49 + £12.56 + £11.89 = £47.94 £12.56 + £11.89 + £18.25 = £42.70

Counting up to subtract (E)

30 – 18 = 1270 – 55 = 1540 – 27 = 1385 – 79 = 653 – 45 = 892 – 78 = 1463 – 46 = 1795 – 59 = 36

Counting up to subtract (H)

33 – 18 = 1572 – 55 = 1753 – 27 = 2665 – 36 = 2981 – 45 = 3674 – 39 = 3595 – 76 = 1967 – 38 = 29

Place value (E)

2 + 0.3 + 0.05 = 2.35 3 + 0.7 + 0.05 = 3.752 + 0.2 + 0.07 = 2.27 1 + 0.5 + 0.09 = 1.595 + 0.5 + 0.07 = 5.57 2 + 0.2 + 0.05 = 2.25


8 + 0.4 + 0.09 = 8.49 5 + 0.03 = 5.033 + 0.7 + 0.08 = 3.78 2 + 0.05 = 2.05

Place value (H)

2 + 0.3 + 0.05 = 2.35 2 + 0.2 + 0.05 = 2.252 + 0.2 + 0.07 = 2.27 8 + 0.4 + 0.09 = 8.49 5 + 0.5 + 0.07 = 5.57 3 + 0.7 + 0.05 = 3.753 + 0.7 + 0.08 = 3.78 5 + 0.03 = 5.031 + 0.5 +0.09 = 1.59 2 + 0.05 = 2.05

Function machines

3.6 x 10 = 36 0.7 x 10 = 7 1.26 x 10 = 12.62.7 ÷ 10 = 0.27 54 ÷ 10 = 5.4 0.8 ÷ 10 = 0.082.64 x 100 = 264 0.06 x 100 = 6 32.4 x 100 = 32408 ÷ 100 = 0.08 40 ÷ 100 = 0.4 37 ÷ 100 = 0.37

Counting up or back to subtract

123 – 42 = 81 123 – 89 = 34 142 – 78 = 64111 – 41 = 70 126 – 88 = 38 126 – 57 = 69123 – 31 = 92 109 – 64 = 45 162 – 91 = 71113 – 91 = 22

Ordering decimals


Week 3:

Find a difference between a 3-digit number and a multiple of 100

400 – 359 = 41 400 – 372 = 28 400 – 395 = 5 400 – 384 = 16400 – 362 = 38 400 – 378 = 22 400 – 391 = 9 400 – 385 = 15400 – 363 = 37

Subtract pairs of 3-digit numbers (M)

407 – 359 = 48 407 – 372 = 35 407 – 395 = 12 407 – 384 = 23407 – 362 = 45 407 – 378 = 29 407 – 391 = 16 407 – 385 = 22407 – 363 = 44

413 – 359 = 54 413 – 372 = 41 413 – 395 = 18 413 – 384 = 29413 – 362 = 51 413 – 378 = 35 413 – 391 = 22 413 – 385 = 28413 – 363 = 50

404 – 359 = 45 404 – 372 = 32 404 – 395 = 9 404 – 384 = 20404 – 362 = 42 404 – 378 = 26 404 – 391 = 13 404 – 385 = 19404 – 363 = 41

405 – 359 = 46 405 – 372 = 33 405 – 395 = 10 405 – 384 = 21405 – 362 = 43 405 – 378 = 27 405 – 391 = 14 405 – 385 = 20405 – 363 = 42

406 – 359 = 47 406 – 372 = 34 406 – 395 = 11 406 – 384 = 22406 – 362 = 44 406 – 378 = 28 406 – 391 = 15 406 – 385 = 21406 – 363 = 43

403 – 359 = 44 403 – 372 = 31 403 – 395 = 8 403 – 384 = 19403 – 362 = 41 403 – 378 = 25 403 – 391 = 12 403 – 385 = 18403 – 363 = 40

412 – 359 = 53 412 – 372 = 40 412 – 395 = 17 412 – 384 = 28412 – 362 = 50 412 – 378 = 34 412 – 391 = 21 412 – 385 = 27412 – 363 = 49

409 – 359 = 50 409 – 372 = 37 409 – 395 = 14 409 – 384 = 25409 – 362 = 47 409 – 378 = 31 409 – 391 = 18 409 – 385 = 24409 – 363 = 46

415 – 359 = 56 415 – 372 = 43 415 – 395 = 20 415 – 384 = 31415 – 362 = 53 415 – 378 = 37 415 – 391 = 24 415 – 385 = 30415 – 363 = 52


Subtract pairs of 3-digit numbers (H)

412 – 359 = 53 412 – 372 = 40 412 – 395 = 17 412 – 384 = 28412 – 362 = 50 412 – 378 = 34 412 – 391 = 21 412 – 385 = 27412 – 363 = 49

432 – 359 = 73 432 – 372 = 60 432 – 395 = 37 432 – 384 = 48432 – 362 = 70 432 – 378 = 54 432 – 391 = 41 432 – 385 = 47432 – 363 = 69

419 – 359 = 60 419 – 372 = 47 419 – 395 = 24 419 – 384 = 35419 – 362 = 57 419 – 378 = 41 419 – 391 = 28 419 – 385 = 34419 – 363 = 56

415 – 359 = 56 415 – 372 = 43 415 – 395 = 20 415 – 384 = 31415 – 362 = 53 415 – 378 = 37 415 – 391 = 24 415 – 385 = 30415 – 363 = 52

421 – 359 = 62 421 – 372 = 49 421 – 395 = 26 421 – 384 = 37421 – 362 = 59 421 – 378 = 43 421 – 391 = 30 421 – 385 = 36421 – 363 = 58

413 – 359 = 54 413 – 372 = 41 413 – 395 = 18 413 – 384 = 29413 – 362 = 51 413 – 378 = 35 413 – 391 = 22 413 – 385 = 28413 – 363 = 50

424 – 359 = 65 424 – 372 = 52 424 – 395 = 29 424 – 384 = 40424 – 362 = 62 424 – 378 = 46 424 – 391 = 33 424 – 385 = 39424 – 363 = 61

435 – 359 = 76 435 – 372 = 63 435 – 395 = 40 435 – 384 = 51435 – 362 = 73 435 – 378 = 57 435 – 391 = 44 435 – 385 = 50435 – 363 = 72

446 – 359 = 87 446 – 372 = 74 446 – 395 = 51 446 – 384 = 62446 – 362 = 84 446 – 378 = 68 446 – 391 = 55 446 – 385 = 61446 – 363 = 83

Find change from £50

£50 - £34.89 = £15.11 £50 - £11.89 = £38.11 £50 - £27.75 = £22.25£50 - £42.57 = £7.43 £50 - £35.28 = £14.72 £50 - £38.45 = £11.55£50 - £44.35 = £5.65 £50 - £23.79 = £26.21


Using addition to check subtraction (E)

69 – 61 = 8105 – 95 = 10200 – 188 = 12400 – 390 = 15 (X) 400 – 390 = 10207 – 198 = 9312 – 295 = 17311 – 296 = 20 (X) 311 – 296 = 15425 – 298 = 27

Using addition to check subtraction (H)

69 – 61 = 8 105 – 95 = 10 200 – 188 = 12400 – 390 = 10 207 – 198 = 9 312 – 295 = 17311 – 296 = 15 425 – 398 = 27

Adding 3-digit numbers using compact addition

A243 + 645 = 888 831 + 154 = 985 755 + 321 = 1076264 + 535 = 799 426 + 453 = 879

B246 + 645 = 891 838 + 154 = 992 791 + 325 = 1116243 + 585 = 828 426 + 456 = 882

C268 + 645 = 913 837 + 174 = 1011 755 + 386 = 1141267 + 555 = 822 466 + 456 = 922

D243 + 645 + 111 = 999 631 + 154 + 213 = 998451 + 126 + 321 = 898 244 + 729 + 133 = 1106327 + 115 + 453 = 895

On board practice

1. 2357 + 1428 = 3785 2. 4374 + 2183 = 6557 3. 5643 + 2942 = 8585 4. 3750 + 2834 = 65845. 7543 + 3251 = 10,794 6. 4638 + 2709 = 7347 7. 2378 + 4284 = 6662 8. 8328 + 4127 = 12,455 9. 6753 + 3842 = 10,595 10. 2756 + 3784 = 6540 11. 4278 + 3746 = 8024 12. 8657 + 5846 = 14,503


Week 4:

Skeletons

Triangular prism 9 straws 6 blobs

Cube 12 straws 8 blobs

Cuboid 12 straws 8 blobs

Pentagonal prism 15 straws 10 blobs

Triangular based pyramid

6 straws 4 blobs

Square based pyramid

8 straws 5 blobs

Hexagonal prism 18 straws 12 blobs

Guess the shape

Triangle Heptagon Circle PentagonHexagon Triangle Pentagon OctagonSquare Heptagon Square Hexagon

Semicircle Rectangle Polygon TriangleHexagon Pentagon Heptagon Octagon


Week 5

Common multiples

Answers could include: 2 is a common multiple of 12 and 243 is a common multiple of 18 and 304 is a common multiple of 48 and 405 is a common multiple of 25 and 456 is a common multiple of 30 and 607 is a common multiple of 14 and 498 is a common multiple of 32 and 169 is a common multiple of 72 and 8110 is a common multiple of 40 and 100

Doubling and halving 3-digit numbers

Part A

122 x 2 = 244242 x 2 = 484353 x 2 = 706464 ÷ 2 = 232862 ÷ 2 = 431666 ÷ 2 = 333


Part B263 x 2 = 526374 x 2 = 748445 x 2 = 890438 x 2 = 876344 ÷ 2 = 172452 ÷ 2 = 226463 ÷ 2 = 231.5674 ÷ 2 = 337

Part C366 x 2 = 732378 x 2 = 756455 x 2 = 910568 x 2 = 1136718 x 2 = 1436856 x 2 = 1712853 ÷ 2 = 426.5627 ÷ 2 = 313.5975 ÷ 2 = 487.5793 ÷ 2 = 396.5579 ÷ 2 = 289.5953 ÷ 2 = 476.5

Division word problems

1. 30 ÷ 4 = 7 r2 They need to buy 8 packs of soup2. 77 ÷ 5 = 15 r2 Chef can make 15 starters3. 75 ÷ 12 = 6 r3 Chef needs to buy 7 boxes of eggs4. 43 ÷ 3 = 14 r1 Chef can make 14 omelettes5. 53 ÷ 4 = 13 r1 13 packs can be made6. 43 ÷ 6 = 7 r1 Year 5 need 8 packs of paint brushes7. 73 ÷ 4 = 18 r1 18 cars can be made8. 90 ÷ 12 = 7 r6 8 packs of pencils need to be bought9. 49 ÷ 8 = 6 r1 6 octagons could be made10. 75 ÷ 6 = 12 r3 12 hexagons can be made

Week 6

Place Value Mystery 1

7248 - 200 = 7048


4501 + 70 = 4571



5340 + 5 - 5000 = 345

Comparing fractions

1. 3/6 and 5/6 ½ < 5/62. 4/8 and 3/8 ½ > 3/83. 4/10 and 3/10 2/5 > 3/104. 2/8 and 3/8 ¼ < 3/85. 7/10 and 6/10 7/10 > 3/56. 7/8 and 6/8 7/8 > ¾7. 4/6 and 5/6 2/3 < 5/68. 3/9 and 2/9 1/3 > 2/99. 9/12 and 7/12 ¾ > 7/1210. 7/9 and 6/9 7/9 > 2/311. 5/12 and 4/12 5/12 > 1/312. 2/14 and 3/14 1/7 < 3/14

4/9 < 2/3 < 5/6

Mystery additions and subtractions

4326 + 200 = 45267843 – 10 = 78334565 + 3 = 45688245 + 300 = 85459745 – 3000 = 67455832 – 400 = 5432

Multiplying three-digit numbers by single-digit numbers (H)

479 x 6 = 2874 4 x 835 = 3340 527 x 7 = 3689 5 x 678 = 3390914 x 6 = 5484 234 x 8 = 1872 9 x 534 = 4806 222 x 7 = 1554

Multiplying three-digit numbers by single-digit numbers (E)

479 x 5 = 2395 4 x 835 = 3340 523 x 4 = 2092 5 x 614 = 3070214 x 9 = 1926 234 x 6 = 1404 3 x 534 = 1602 211 x 5 = 1055

Adding and subtracting 100 (10 and 1000)

4278 + 100 = 4378 2947 – 10 = 29376209 – 100 = 6109 4936 + 10 = 49467053 + 100 = 7153 8299 + 10 = 83093018 – 100 = 2918 3206 – 10 = 3196


1963 + 100 = 2063 4927 + 1000 = 59271100 – 100 = 1000 4820 – 1000 = 38207950 + 100 = 8050 3007 – 10 = 29972006 – 100 = 1906 4996 + 10 = 50064404 + 100 = 45043499 – 100 = 3399

Whole class practice

1. 3 x 243 = 729 2. 4 x 316 = 1264 3. 5 x 233 = 1165 4. 8 x 221 = 17685. 6 x 324 = 1944 6. 7 x 624 = 4368 7. 4 x 354 = 1416 8. 3 x 836 = 25089. 7 x 346 = 2422 10. 3 x 876 = 2628 11. 8 x 527 = 4216 12. 6 x 768 = 4608

Week 7:

Adding and subtracting using place value and number facts

Section A358 + 140 = 498231 + 306 = 537632 + 215 = 847176 + 621 = 797754 + 241 = 995

867 – 640 = 227985 – 501 = 484865 – 631 = 234547 – 124 = 423999 – 333 = 666

Section B1) 356 + 402 = 758 Holly’s total score was 758.2) 263 + 530 = 793 Jake’s total score was 793.3) 414 + 463 = 877 Harry scored 877 altogether.4) 642 – 221 = 421 Eve’s final score was 421.5) 550 – 225 = 325 Sam’s final score was 325.6) Harry was top of the leaderboard followed by Jake, Holly, Eve and then Sam.

Add and subtract 0.1 and 0.01

0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.10.11 0.12 0.13 0.14 0.15 0.16 0.17 0.18 0.19 0.20.21 0.22 0.23 0.24 0.25 0.26 0.27 0.28 0.29 0.30.31 0.32 0.33 0.34 0.35 0.36 0.37 0.38 0.39 0.40.41 0.42 0.43 0.44 0.45 0.46 0.47 0.48 0.49 0.50.51 0.52 0.53 0.54 0.55 0.56 0.57 0.58 0.59 0.6


0.61 0.62 0.63 0.64 0.65 0.66 0.67 0.68 0.69 0.70.71 0.72 0.73 0.74 0.75 0.76 0.77 0.78 0.79 0.80.81 0.82 0.83 0.84 0.85 0.86 0.87 0.88 0.89 0.90.91 0.92 0.93 0.94 0.95 0.96 0.97 0.98 0.99 1

1. 0.45 + 0.01 = 0.462. 0.25 + 0.1 = 0.353. 0.36 - 0.01 = 0.354. 0.67 - 0.1 = 0.575. 0.79 + 0.01 = 0.86. 0.7 - 0.01 = 0.69

Add and subtract 0.1 and 0.01

On board practice

1. 4.56 + 0.01 = 4.57 2. 8.73 + 0.1 = 8.833. 7.78 - 0.01 = 7.77 4. 8.45 - 0.01 = 8.445. 6.04 + 0.1 = 6.14 6. 6.7 + 0.01 = 6.717. 9.42 + 0.3 = 9.72 8. 3.82 - 0.02 = 3.89. 4.32 + 0.4 = 4.72 10. 5.42 + 0.03 = 5.4511. 8.64 - 0.02 = 8.62 12. 3.85 - 0.6 = 3.2513. 4.23 + 0.11 = 4.34 14. 8.76 - 0.11 = 8.6515. 4.53 + 1.1 = 5.63 16. 8.43 - 1.1 = 7.3317. 8.46 + 1.11 = 9.57 18. 9.73 - 1.11 = 8.6219. 3.45 + 0.22 = 3.67 20. 9.87 - 0.22 = 9.65


Adding multiples of 10 and 100 and multiples +1, -1

1. 156 + 20 = 176 156 + 19 = 175 156 + 21 = 1772. 347 + 40 = 387 347 + 39 = 386 347 + 41 = 3883. 661 + 30 = 691 661 + 29 = 690 661 + 31 = 6924. 346 + 100 = 446 346 + 99 = 445 346 + 101 = 4475. 257 + 200 = 457 257 + 199 = 456 257 + 201 = 4586. 435 + 300 = 735 435 + 299 = 734 435 + 301 = 7367. 726 + 100 = 826 726 + 99 = 825 726 + 101 = 8278. 412 + 400 = 812 412 + 399 = 811 412 + 401 = 8139. 189 + 30 = 219 189 + 29 = 218 189 + 31 = 22010. 275 + 40 = 315 275 + 39 = 314 275 + 41 = 316

Athletic differences

Event Last Week This Week ImprovementJavelin 8.7m 10.2m 1.5m

Long Jump 2.87m 3.04m 0.17mStanding Jump 1.45m 1.76m 0.31m

High Jump 1.23m 1.48m 0.25m100m 16.7s 15.8s 1.1s200m 35.4s 34.8s 0.6s

Subtracting multiples of 10/100 and multiples of 10/100 +1,-1 (E)

596 – 40 = 556 596 – 41 = 555 596 – 500 = 96 596 – 501 = 95596 – 20 = 576 596 – 19 = 577 596 – 300 = 296 596 – 301 = 295

768 – 40 = 728 768 – 41 = 727 768 – 500 = 268 768 – 501 = 267768 – 20 = 748 768 – 19 = 749 768 – 300 = 468 768 – 301 = 467

556 – 40 = 516 556 – 41 = 515 556 – 500 = 56 556 – 501 = 55556 – 20 = 536 556 – 19 = 537 556 – 300 = 256 556 – 301 = 255

689 – 40 = 649 689 – 41 = 648 689 – 500 = 189 689 – 501 = 188689 – 20 = 669 689 – 19 = 670 689 – 300 = 389 689 – 301 = 388

999 – 40 = 959 999 – 41 = 958 999 – 500 = 499 999 – 501 = 498999 – 20 = 979 999 – 19 = 980 999 – 300 = 699 999 – 301 = 698

759 – 40 = 719 759 – 41 = 718 759 – 500 = 259 759 – 501 = 258759 – 20 = 739 759 – 19 = 740 759 – 300 = 459 759 – 301 = 458

Subtracting multiples of 10/100 and multiples of 10/100 + 1, -1 (H)

596 - 40 = 556 596 - 41 = 555 596 - 39 = 557596 - 500 = 96 596 - 501 = 95 596 - 499 = 97


596 - 20 = 576 596 - 21 = 575 596 - 19 = 577596 - 300 = 296 596 - 301 = 295 596 - 299 = 297

739 - 40 = 699 739 - 41 = 698 739 - 39 = 700739 - 500 = 239 739 - 501 = 238 739 - 499 = 240739 - 20 = 719 739 - 21 = 718 739 - 19 = 720739 - 300 = 439 739 - 301 = 438 739 - 299 = 440

511 - 40 = 471 511 - 41 = 470 511 - 39 = 472511 - 500 = 11 511 - 501 = 10 511 - 499 = 12511 - 20 = 491 511 - 21 = 490 511 - 19 = 492511 - 300 = 211 511 - 301 = 210 511 - 299 = 212

619 - 40 = 579 619 - 41 = 578 619 - 39 = 580619 - 500 = 119 619 - 501 = 118 619 - 499 = 120 619 - 20 = 599 619 - 21 = 598 619 - 19 = 600619 - 300 = 319 619 - 301 = 318 619 - 299 = 320

556 - 40 = 516 556 - 41 = 515 556 - 39 = 517556 - 500 = 56 556 - 501 = 55 556 - 499 = 57 556 - 20 = 536 556 - 21 = 535 556 - 19 = 537556 - 300 = 356 556 - 301 = 355 556 - 299 = 357

728 - 40 = 688 728 - 41 = 687 728 - 39 = 689728 - 500 = 228 728 - 501 = 227 728 – 499 = 229728 - 20 = 708 728 - 21 = 707 728 - 19 = 709728 - 300 = 428 728 - 301 = 427 728 - 299 = 429

Subtract pairs of numbers with one or two decimal places (MH)

1. 6.3 – 5.7 = 0.6 2. 7.4 – 3.8 = 3.63. 5.56 – 4.97 = 0.59 4. 6.03 – 5.86 = 0.175. 5.25 – 4.79 = 0.46 6. 8.21 – 7.65 = 0.567. 9.46 – 7.82 = 1.64 8. 6.35 – 3.83 = 2.529. 6.2 – 5.85 = 0.35 10. 9.3 – 5.67 = 3.6311. 8.24 – 5.8 = 2.44 12. 6.36 – 4.7 = 1.6613. 9.3 – 4.46 = 4.84 14. 9.42 – 4.8 = 4.62

Subtract pairs of numbers with one or two decimal places (E)

1. 7.2 – 6.8 = 0.4 2. 8.3 – 5.7 = 2.63. 9.5 – 4.8 = 4.7 4. 6.4 – 3.6 = 2.85. 3.04 – 2.97 = 0.07 6. 9.05 – 7.95 = 1.17. 6.25 – 5.87 = 0.38 8. 8.34 – 6.78 = 1.569. 5.43 – 3.65 = 1.78 10. 7.29 – 5.63 = 1.6611. 8.04 – 6.48 = 1.56 12. 9.32 – 6.95 =2.37


Week 8:

Written subtraction (E)

654 – 321 = 333375 – 135 = 240865 – 254 = 611498 – 277 = 221659 – 326 = 333353 – 125 = 228945 – 134 = 811656 – 258 = 398

Written subtraction (H)

654 – 325 = 329375 – 117 = 258865 – 254 = 611497 – 279 = 218656 – 328 = 328355 – 126 = 229965 – 137 = 828662 – 256 = 406

Adding four-digit numbers

1. 7543 + 3251 = 10,794 2. 8238 + 2793 = 11,0313. 7378 + 4284 = 11,662 4. 8328 + 4127 = 12,4555. 6753 + 3842 = 10,595 6. 8726 + 3784 = 12,5107. 9278 + 3746 = 13,024 8. 8657 + 5846 = 14,503

Written subtraction (E)

355 – 127 = 228473 – 265 = 208581 – 329 = 252370 – 108 = 262444 – 228 = 216973 – 366 = 607

500 – 354 = 146

Written subtraction (H)

637 – 452 = 185647 – 472 = 175


465 – 283 = 182625 – 362 = 263936 – 571 = 365505 – 212 = 293927 – 254 = 673839 – 259 = 580

829 – 141 (688) – 141 (547) – 141 (406) – 141 (265) – 141 (124) = 124 5 times

3-Digit – 3-digit using expanded decomposition

Section A999 – 236 = 763 888 – 358 = 530 777 – 631 = 146 666 – 352 = 314555 – 142 = 413 444 – 234 = 210 333 – 231 = 102 222 – 112 = 110Section B998 – 239 = 759 887 – 396 = 491 776 – 648 = 128 665 – 372 = 293554 – 262 = 292 443 – 234 = 209 332 – 224 = 108 221 – 112 = 109Section C921 – 533 = 388 821 – 444 = 377 721 – 277 = 444 621 – 355 = 266521 – 266 = 255 421 – 188 = 233 321 – 232 = 89 802 – 374 = 428906 – 438 = 468

Heights to descend from Everest summit to base camp

Base Camp – 5380mCamp 1 – 6083mCamp 2 – 6578mCamp 3 – 7468mCamp 4 – 7935m‘The Balcony’ – 8395mSummit – 8848m

Subtracting using the expanded decomposition or Maths Frog

802 - 374 = 428 906 - 438 = 468 402 - 378 = 24900 - 421 = 479 309 - 174 = 135 606 - 277 = 329600 - 333 = 267 704 - 289 = 415 665 - 372 = 293221 - 102 = 119 581 - 266 = 315 532 - 224 = 308459 - 378 = 81 746 - 628 = 118 463 - 234 = 229

Choosing a method of subtraction

4002 – 3978 = 24 6453 – 3214 = 32397526 – 3841 = 3685 6005 – 5997 = 87803 – 5420 = 2383 5674 – 2715 = 29598009 – 3475 = 4534 9874 – 3250 = 6624 7025 – 6967 = 58 8150 – 6344 = 1806


Week 9

Reading timetables

1. The next train is at 14:45; Jackie will get to Reading at 15:11.2. Sandip needs to catch the 15:13 train to Bristol Parkway.3. Billy needs to catch the 14:41 from Reading.4. The train takes 26 minutes.5. The shortest journey is 15 minutes, between Reading and Didcot Parkway.6. The train takes 1 hour and 22 minutes.7. The train takes 3 minutes longer when it does stop at Didcot Parkway.

Equivalent measures

Converting metric units

0.3kg = 300g 4300g = 4.3kg 0.1kg = 100g 0.9kg = 900g3.9kg = 3900g 700g = 0.7kg 2.4kg = 2400g 500g = 0.5kg1300g = 1.3kg 2.1kg = 2100g 3800g = 3.8kg 2700g = 2.7kg

Week 10:

Find the cost

Seven Boxes of Pencils = 7 x £2.15 = £15.05Four Books = 4 x £4.75 = £19Three DVDs = 3 x £7.99 = £23.97


Five CDs = 5 x £6.29 = £31.45Six Paint Sets = 6 x £8.65 = £51.90

Pencils 3 x £2.15 = £6.45Paint sets 3 x £8.65 = £25.95Books 3 x £4.75 = £14.25Hats 3 x £8.76 = £26.28CDs 3 x £6.29 = £18.87DVDs 3 x £7.99 = £23.97

Pencils + CD = £8.44Pencil + Book = £6.90

Grid method multiplication

Section A Section B Section C24 x 3 = 72 62 x 5 = 310 6 x 46 = 27613 x 5 = 65 56 x 5 = 280 6 x 64 = 38424 x 5 = 120 35 x 2 = 70 3 x 48 = 14418 x 2 = 36 43 x 3 = 129 8 x 39 = 31252 x 5 = 260 34 x 5 = 170 4 x 67 = 26888 x 2 = 176 32 x 3 = 96 8 x 34 = 272

Mental division

Division Answer with remainder

Answer with fraction

Answer as a decimal

Answer asmoney

E.g. 68 ÷ 81. 30 ÷ 42. 19 ÷ 43. 33 ÷ 64. 42 ÷ 85. 38 ÷ 86. 78 ÷ 107. 46 ÷ 58. 33 ÷ 5

8 r 47 r 24 r 35 r 35 r 24 r 67 r 89 r 16 r 3

8 ½7½4¾5½5¼4¾74/5

91/5

63/5

8.57.54.755.55.254.757.89.26.6

£8.50£7.50£4.75£5.50£5.25£4.75£7.80£9.20£6.60

Division (E)

84 ÷ 4 = 21 109 ÷ 4 = 27 r 1104 ÷ 4 = 26 110 ÷ 5 = 22121 ÷ 5 = 24 r 1 168 ÷ 8 = 21100 ÷ 9 = 11 r 1 84 ÷ 7 = 12100 ÷ 7 = 14 r 2 96 ÷ 6 = 16129 ÷ 6 = 21 r 3 132 ÷ 6 = 22

Division (H)

92 ÷ 4 = 13 228 ÷ 8 = 28 r 4116 ÷ 4 = 29 138 ÷ 6 = 23


200 ÷ 9 = 22 r 2 150 ÷ 7 = 21 r 398 ÷ 4 = 24 r 2 187 ÷ 7 =26 r 5246 ÷ 9 = 27 r 3 168 ÷ 8 = 21

Dividing using chunking on a number line (E)

39 ÷ 3 = 1375 ÷ 5 = 1548 ÷ 4 = 1290 ÷ 5 = 1842 ÷ 3 = 1457 ÷ 3 = 19

Division cards (H)

96 ÷ 6 = 16 102 ÷ 6 = 17 75 ÷ 5 = 1576 ÷ 4 = 19 42 ÷ 3 = 14 114 ÷ 6 = 1964 ÷ 4 = 16 57 ÷ 3 = 19 90 ÷ 6 = 15104 ÷ 8 = 13 95 ÷ 5 = 19 76 ÷ 4 = 19

Rounding up and down

1. 123 ÷ 3 = 41 guests, 41 x 2 = 82 glasses, 82 ÷ 6 = 13 r4 14 bottles are needed2. 120 minutes (2 hours) – 20 = 100 minutes, 100 ÷ 3 = 33 r1 34 records are needed3. 106 ÷ 4 = 26 r2 Chef can make 26 portions4. 104 ÷ 3 = 34 r2 Chef can make 34 portions5. 173 ÷ 8 = 21 r5 He needs 22 packs6. 110 ÷ 4 = 27 r2 They can put 27 packs together7. 143 ÷ 6 = 23 r5 They must order 24 packs of books

Dividing using chunking on a number lines (E)

96 ÷ 6 = 16102 ÷ 6 = 1742 ÷ 3 = 1457 ÷ 3 = 1964 ÷ 4 = 1676 ÷ 4 = 1985 ÷ 5 = 17104 ÷ 8 = 13

Dividing using chunking on a number line (H)

114 ÷ 6 = 19104 ÷ 8 = 1372 ÷ 4 = 18128 ÷ 8 = 16


95 ÷ 5 = 19136 ÷ 8 = 1757 ÷ 3 = 19120 ÷ 8 = 15

On board practice

1. 127 ÷ 5 = 25 r2 2. 124 ÷ 4 = 31 3. 97 ÷ 3 = 32 r1 4. 138 ÷ 6 = 235. 172 ÷ 4 = 43 6. 172 ÷ 5 = 34 r2 7. 132 ÷ 3 = 44 8. 306 ÷ 6 = 519. 217 ÷ 4 = 54 r1 10. 257 ÷ 6 = 42 r5 11. 252 ÷ 8 = 31 r4 12. 217 ÷ 7 = 31


Week 11:

Reading scales

450ml 35ml2.5l 160mlIn order from least to greatest: 35ml, 160ml, 450ml, 2.5l (2500ml)

Division challenge

1. 38 ÷ 3 = 12 r 2 9. 53 ÷ 4 = 13 r 1 17. 75 ÷ 4 = 18 r 32. 57 ÷ 4 = 14 r 1 10. 82 ÷ 5 = 16 r 2 18. 79 ÷ 6 = 13 r 13. 62 ÷ 5 = 12 r 2 11. 74 ÷ 6 = 12 r 2 19. 87 ÷ 6 = 14 r 34. 44 ÷ 3 = 14 r 2 12. 91 ÷ 8 = 11 r 3 20. 65 ÷ 3 = 21 r 25. 76 ÷ 5 = 15 r 1 13. 83 ÷ 6 = 13 r 5 21. 83 ÷ 4 = 20 r 36. 61 ÷ 4 = 15 r 1 14. 105 ÷ 8 = 13 r 1 22. 107 ÷ 5 = 21 r 27. 69 ÷ 5 = 13 r 4 15. 92 ÷ 5 = 18 r 2 23. 91 ÷ 4 = 22 r 38. 49 ÷ 3 = 16 r 1 16. 55 ÷ 3 = 18 r 1 24. 113 ÷ 6 = 18 r 5

Adding fractions (E)

1. ½ + 3/8 = 4/8 + 3/8 = 7/82. 1/3 + 1/6 = 2/6 + 1/6 = 3/6 = ½3. 2/5 + 1/10 = 4/10 + 1/10 = 5/10 = ½ 4. ¾ + 1/8 = 6/8 + 1/8 = 7/85. 3/10 + 1/5 = 3/10 + 2/10 = 5/10 = 1/26. 2/9 + 1/3 = 2/9 + 3/9 = 5/97. 2/3 + 1/6 = 4/6 + 1/6 = 5/68. ½ + 5/12 = 6/12 + 5/12 = 11/12

Adding fractions (H)

1. ½ + 3/8 = 4/8 + 3/8 = 7/82. 1/3 + 1/6 = 2/6 + 1/6 = 3/6 = ½3. 2/5 + 1/10 = 4/10 + 1/10 = 5/10 = ½4. ¾ + 1/8 = 6/8 + 1/8 = 7/85. 3/10 + 1/5 = 3/10 + 2/10 = 5/10 = 1/26. 2/9 + 1/3 = 2/9 + 3/9 = 5/97. 2/3 + 1/6 = 4/6 + 1/6 = 5/68. ¾ + 3/8 = 6/8 + 3/8 = 9/8 = 1 1/89. ½ + 7/10 = 5/10 + 7/10 = 12/10 = 1 1/510. ½ + 5/8 =4/8 + 5/8 = 9/8 = 1 1/811. 1/3 + 5/6 =2/6 + 5/6 = 7/6 = 1 1/612. 4/5 + 3/10 =8/10 + 3/10 = 11/10 = 1 1/10


Subtracting pairs of fractions

1. ½ - ¼ = 2/4 - ¼ = ¼2. ½ - 1/8 = 4/8 - 1/8 = 3/83. ½ - 1/6 = 3/6 - 1/6 = 2/6 = 1/34. ½ - 1/10 = 5/10 - 1/10 = 4/10 = 2/55. ¼ - 1/8 = 2/8 - 1/8 = 1/86. 1/3 - 1/6 = 2/6 - 1/6 = 1/67. 3/8 - 1/4 = 3/8 - 2/8 = 1/88. 2/3 - 1/6 = 4/6 - 1/6 = 3/6 = ½9. 1/5 - 1/10 = 2/10 - 1/10 = 1/1010. 4/5 - 7/10 = 8/10 - 7/10 = 1/10

Linking divisions and fractions (E)

6 pieces ¼ of 24 is 6 ¾ of 24 is 188 pieces 1/3 of 24 is 8 2/3 of 24 is 164 pieces 1/6 of 24 is 4 5/6 of 24 is 203 pieces 1/8 of 24 is 3 3/8 of 24 is 9

Linking division and fractions (H)

40 ÷ 5 = 8 so 1/5 of 40 is 84/5 of 40 is 32

40 ÷ 10 = 4 so 1/10 of 40 is 43/10 of 40 is 127/10 of 40 is 28

40 ÷ 8 = 5 so 1/8 of 40 is 53/8 of 40 is 157/8 of 40 is 35

Whole class practice

1. 24 2. 48 3. 37 4. 1115. 33 6. 99 7. 22 8. 1109. 58 10. 56 11. 48 12. 6613. 44 14. 172 15. 160 16. 186

Comparing and ordering fractions (H)

1. 2/7 = 4/14 so 2/7 < 5/142. 2/3 = 6/9 so 2/3 < 7/93. ¾ = 6/8 so ¾ < 7/84. 7/10 = 14/20 so 7/10 < 17/205. 6/7 = 12/14 so 6/7 > 9/146. 7/8 = 14/16 so 7/8 > 13/16


7. ½, 2/3, 5/6 = 3/6, 4/6, 5/68. ½, ¾, 7/8 = 4/8, 6/8, 7/89. 2/3, ¾, 5/6 = 8/12, 9/12, 10/12 10. ½, 3/5, 7/10 = 5/10, 6/10, 7/1011. 8/15, 2/3, 4/5 = 8/15, 10/15, 12/1512. 3/10, 7/20, 2/5 = 6/20, 7/10, 8/20

Comparing and ordering fractions (E)

1. ¾ = 6/8 so ¾ < 7/82. 4/5 = 8/10 so 7/10 < 4/53. ¾ = 6/8 so 5/8 < ¾4. 2/3 = 4/6 so 2/3 < 5/65. 1/3 = 3/9 so 1/3 > 2/96. ¾ = 9/12 so ¾ > 7/127. 2/3 = 6/9 so 7/9 > 2/38. 1/3 = 4/12 so 5/12 > 1/39. 2/7 = 4/14 so 2/7 < 5/14


files.hamilton-trust.org.uk web viewdivision word problems. 1. 30 ÷ 4 = 7 r2. they need to...

Documents