Maths Answers Autumn Year 3 Week 1: Writing amounts using £ and p £2.50 £2.05 £6.07 £3.55 £4.40 £6.20 £7.35 £6.02 Writing and comparing amounts of money £2.35 £2.45 £4.45 £4.05 £9.99 £8.99 £8.06 £8.60 £3.75 £3.70 £6.08 £6.80 £1.10 £1.01 £2.11 £2.12 Week 2: Adding 1-digit to 2-digit numbers Part A 21 + 9 = 30 45 + 5 = 50 73 + 7 = 80 © Hamilton Trust 83 + 3 = 86 21 + 7 = 28 47 + 2 = 49 Part B 39 + 5 = 44 28 + 4 = 32 36 + 6 = 42 12 + 9 = 21 46 + 8 = 54 87 + 4 = 91 Year 3 Autumn Maths Answers 14 + 6 = 20 68 + 2 = 70 33 + 5 = 38 25 + 3 = 28 62 + 4 = 66 13 + 6 = 19 114 + 6 = 120 123 + 5 = 128 154 + 3 = 157 194 + 5 = 199 45 + 7 = 52 78 + 8 = 86 33 + 9 = 42 27 + 5 = 32 18 + 6 = 24 34 + 8 = 42 128 + 4 = 132 144 + 6 = 150 119 + 6 = 125 175 + 6 = 181 Splitting the 7 to add 54 + 7 = 61 55 + 7 = 62 56 + 7 = 63 57 + 7 = 64 58 + 7 = 65 58 + 7 = 66 Subtracting 1-digit from 2-digit numbers Part A 88 - 8 = 80 75 - 5 = 70 62 - 2 = 60 78 - 5 = 73 45 - 2 = 43 48 - 6 = 42 69 - 6 = 63 76 - 4 = 72 Part B 55 - 3 = 52 39 - 5 = 34 15 - 4 = 11 46 - 5 = 41 117 - 5 = 112 146 - 4 = 142 187 - 3 = 184 135 - 2 = 133 21 - 9 = 12 45 - 6 = 39 73 - 7 = 66 14 - 6 = 8 61 - 2 = 59 33 - 5 = 28 25 - 8 = 17 62 - 4 = 58 83 - 7 = 76 21 - 7 = 14 42 - 7 = 35 13 - 6 = 7 142 - 6 = 136 161 - 4 = 157 115 - 8 = 107 133 - 5 = 128 Splitting the 7 to subtract 41 - 7 = 34 42 - 7 = 35 43 - 7 = 36 44 - 7 = 37 45 - 7 = 38 46 - 7 = 39 Week 3: Adding pairs of 2-digit numbers (E) 14 + 34 = 48 24 + 34 = 58 32 + 34 = 66 41 + 34 = 75 53 + 34 = 87 © Hamilton Trust 14 + 21 = 35 24 + 21 = 45 32 + 21 = 53 41 + 21 = 62 53 + 21 = 74 14 + 32 = 46 24 + 32 = 56 32 + 32 = 64 41 + 32 = 73 53 + 32 = 85 14 + 23 = 37 24 + 23 = 47 32 + 23 = 55 41 + 23 = 64 53 + 23 = 76 14 + 12 = 26 24 + 12 = 36 32 + 12 = 44 41 + 12 = 53 53 + 12 = 65 Year 3 Autumn Maths Answers Adding pairs of 2-digit numbers (M) 14 + 23 = 37 24 + 23 = 47 32 + 23 = 55 41 + 23 = 64 43 + 23 = 66 14 + 39 = 53 24 + 39 = 63 32 + 39 = 71 41 + 39 = 80 43 + 39 = 82 14 + 32 = 46 24 + 32 = 56 32 + 32 = 64 41 + 32 = 73 43 + 32 = 75 14 + 48 = 62 24 + 48 = 72 32 + 48 = 80 41 + 48 = 89 43 + 48 = 91 14 + 12 = 26 24 + 12 = 36 32 + 12 = 44 41 + 12 = 53 43 + 12 = 55 Adding pairs of 2-digit numbers (H) 14 + 63 = 77 54 + 63 = 117 36 + 63 = 99 81 + 63 = 144 49 + 63 = 112 14 + 89 = 103 54 + 89 = 143 36 + 89 = 125 81 + 89 = 170 49 + 89 = 138 14 + 32 = 46 54 + 32 = 86 36 + 32 = 68 81 + 32 = 113 49 + 32 = 81 14 + 78 = 92 54 + 78 = 132 36 + 78 = 114 81 + 78 = 159 49 + 78 = 127 14 + 67 = 81 54 + 67 = 121 36 + 67 = 103 81 + 67 = 148 49 + 67 = 116 Subtraction number bonds to 10 10 – 3 = 7 10 – 6 = 4 10 – 5 = 5 10 – 2 = 8 10 – 4 = 6 10 – 1 = 9 10 – 7 = 3 10 – 9 = 1 10 – 0 = 10 10 – 5 = 5 10 – 8 = 2 10 – 6 = 4 10 – 9 = 1 10 – 3 = 7 10 – 1 = 9 10 – 10 = 0 Whole Class Practice Part A 30 – 18 = 12 80 – 66 = 14 40 – 23 = 17 90 – 75 = 15 60 – 43 = 17 70 – 54 = 16 72 – 60 = 12 34 – 20 = 14 85 – 70 = 15 53 – 40 = 13 39 – 20 = 19 25 – 10 = 15 Part B 67 – 45 = 22 83 – 65 = 18 94 – 78 = 16 33 – 14 = 19 65 – 46 = 19 44 – 27 = 17 © Hamilton Trust 91 – 76 = 15 45 – 29 = 16 84 – 67 = 17 32 – 15 = 17 78 – 54 = 24 42 – 24 = 18 Year 3 Autumn Maths Answers Part C 88 – 45 = 43 65 – 32 = 33 77 – 46 = 31 86 – 54 = 32 44 – 12 = 32 68 – 37 = 31 How much change? £1 – 78p = 22p £1 – 34p = 66p £1 – 55p = 45p £1 – 63p = 37p £1 – 26p = 74p How much change? £1 – 34p = 66p £1 – 68p = 32p £1 – 17p = 83p £1 – 72p = 28p £1 – 59p = 41p £1 – 65p = 35p £1 – 26p = 74p £1 – 44p = 56p £1 – 81p = 19p £1 – 86p = 14p Week 4: Pentagons, hexagons and octagons Pentagon, Hexagon, Hexagon, Hexagon Octagon, Octagon, Pentagon, Octagon Odd one out Bottom left; the others are regular polygons Top left; the others all have at least one right angle (Also top right; the only shape with both curved and straight sides) Top left; the others all have at least one straight side Bottom right; the others are all octagons (Also top right; the only regular polygon) © Hamilton Trust Year 3 Autumn Maths Answers Describing 3D shapes Name: Cylinder Faces: 3 Name: Sphere Faces: 1 Name: Cone Faces: 2 Name: Square-based Pyramid Faces: 5 Name: Cuboid Faces: 6 Name: Cube Faces: 4 Name: Octahedron Faces: 8 Week 5: Double the following numbers: Part A 1. 15 x 2 = 30 2. 22 x 2 = 44 3. 34 x 2 = 68 4. 43 x 2 = 86 5. 12 x 2 = 24 6. 41 x 2 = 82 7. 32 x 2 = 64 8. 23 x 2 = 46 9. 14 x 2 = 28 10. 21 x 2 = 42 Part B 1. 18 x 2 = 36 2. 26 x 2 = 52 3. 35 x 2 = 70 4. 48 x 2 = 96 5. 47 x 2 = 94 6. 36 x 2 = 72 7. 27 x 2 = 54 8. 19 x 2 = 38 9. 16 x 2 = 32 10. 38 x 2 = 76 Chocolate bars – half price sale! 24p ÷ 2 = 12p 28p ÷ 2 = 14p © Hamilton Trust Year 3 Autumn Maths Answers 42p ÷ 2 = 21p 54p ÷ 2 = 27p 48p ÷ 2 = 24p 82p ÷ 2 = 41p 72p ÷ 2 = 36p 94p ÷ 2 = 47p 38p ÷ 2 = 19p 74p ÷ 2 = 37p 66p ÷ 2 = 33p 56p ÷ 2 = 28p Halving even numbers (MH) 30 ÷ 2 = 15 32 ÷ 2 = 16 34 ÷ 2 = 17 36 ÷ 2 = 18 38 ÷ 2 = 19 40 ÷ 2 = 20 42 ÷ 2 = 21 44 ÷ 2 = 22 46 ÷ 2 = 23 48 ÷ 2 = 24 50 ÷ 2 = 25 Halving even numbers (E) 10 ÷ 2 = 5 12 ÷ 2 = 6 14 ÷ 2 = 7 16 ÷ 2 = 8 18 ÷ 2 = 9 20 ÷ 2 = 10 22 ÷ 2 = 11 24 ÷ 2 = 12 26 ÷ 2 = 13 28 ÷ 2 = 14 30 ÷ 2 = 15 Week 6: Place value additions 300 + 70 + 6 = 376 400 + 90 + 3 = 493 700 + 5 = 705 500 + 30 = 530 © Hamilton Trust 200 + 30 + 4 = 234 400 + 10 + 7 = 417 200 + 40 + 3 = 243 200 + 70 = 270 Year 3 Autumn Maths Answers 600 + 32 = 632 804 + 50 = 854 909 + 90 = 999 400 + 8 = 408 500 + 10 + 3 = 513 700 + 30 + 4 = 734 Place Vale & Money Addition and Subtraction £2 + 45p = £2.45 £3 + 20p = £3.20 £5 + 55p = £5.55 £3.20 – 20p = £3 £2.45 – 45p = £2 £5.55 – 55p = £5 £1.70 + 5p = £1.75 £9.90 + 9p = £9.99 £5.25 – 5p = £5.20 £7.99 - £7 = 99p £6.45 – 5p = £6.40 £5 + 9p = £5.09 Place Value & Money Addition and Subtraction Word Problems £2 + 50p + 5p = £2.55 £3 + 60p + 7p = £3.67 80p + 6p + £2 = £2.86 2p + £5 + 20p = £5.22 £6.72 – 2p = £6.70 £5.58 – 50p = £5.08 £9.68 – 60p = £9.08 £7.49 – 9p = £7.40 £5.25 – 20p = £5.05 £9.82 – 80p = £9.02 £3.49 – 9p = £3.40 £3.67 - £3.07 = 60p so Liam should put the drink back Adding 1, 10, 100 457 + 1 = 458 239 + 10 = 249 562 + 100 = 662 429 + 10 = 439 863 + 100 = 963 299 + 1 = 300 Week 7: Adding using place value (M) 300 + 234 = 534 300 + 351 = 651 300 + 465 = 765 300 + 516 = 816 300 + 646 = 946 300 + 254 = 554 © Hamilton Trust 2 + 234 = 236 2 + 351 = 353 2 + 465 = 467 2 + 516 = 518 2 + 646 = 648 2 + 254 = 256 3 + 234 = 237 3 + 351 = 354 3 + 465 = 468 3 + 516 = 519 3 + 646 = 649 3 + 254 = 257 Year 3 Autumn Maths Answers 200 + 234 = 434 200 + 351 = 551 200 + 465 = 665 200 + 516 = 716 200 + 646 = 846 200 + 254 = 454 20 + 234 = 254 20 + 351 = 371 20 + 465 = 485 20 + 516 = 536 20 + 646 = 666 20 + 254 = 274 30 + 234 = 264 30 + 351 = 381 30 + 465 = 495 30 + 516 = 546 30 + 646 = 676 30 + 254 = 284 Adding using place value (H) 300 + 234 = 534 300 + 351 = 651 300 + 465 = 765 300 + 516 = 816 300 + 646 = 946 300 + 254 = 554 8 + 234 = 242 8 + 351 = 359 8 + 465 = 473 8 + 516 = 524 8 + 646 = 654 8 + 254 = 262 3 + 234 = 237 3 + 351 = 354 3 + 465 = 468 3 + 516 = 519 3 + 646 = 649 3 + 254 = 257 200 + 234 = 434 200 + 351 = 551 200 + 465 = 665 200 + 516 = 716 200 + 646 = 846 200 + 254 = 454 20 + 234 = 254 20 + 351 = 371 20 + 465 = 485 20 + 516 = 536 20 + 646 = 666 20 + 254 = 274 80 + 234 = 314 80 + 351 = 431 80 + 465 = 545 80 + 516 = 596 80 + 646 = 726 80 + 254 = 334 Subtracting 1s, 10s, 100 from 2 and 3-digit numbers A 1. 45 - 2 = 43 2. 45 - 20 = 25 3. 74 - 3 = 71 4. 74 - 30 = 44 5. 56 - 4 = 52 6. 56 - 40 = 16 7. 78 - 6 = 72 8. 78 - 60 = 18 Subtracting 1s, 10s, 100s from 2 and 3-digit numbers B 1. 432 - 1 = 431 2. 432 - 10 = 422 3. 432 - 100 = 332 4. 546 - 2 = 544 5. 546 - 20 = 526 6. 546 - 200 = 346 7. 658 - 4 = 654 8. 658 - 40 = 618 9. 658 - 400 = 258 10. 979 - 6 = 973 11. 979 - 60 = 919 12. 979 - 600 = 379 Subtracting 1s, 10s, 100s from 2 and 3-digit numbers C 1. 84 - 20 = 64 people left on the coach. 2. 76 - 4 = 72 people left on the coach. 3. 367 - 200 = 167 people left on the aeroplane. 4. 453 - 40 = 413 people left on the aeroplane. 5. 569 - 8 = 561 people left on the aeroplane. 6. 625 - 30 = 595 people left on the aeroplane. © Hamilton Trust Year 3 Autumn Maths Answers Adding and subtracting multiples of 10 45 + 20 = 65 45 + 21 = 66 45 + 19 = 64 62 - 20 = 42 62 - 21 = 41 62 - 19 = 43 Adding Multiples and Multiples + 1 1. 56 + 20 = 76 56 + 21 = 77 2. 47 + 40 = 87 47 + 41 = 88 3. 61 + 30 = 91 61 + 31 = 92 4. 346 + 20 = 366 346 + 21 = 367 5. 257 + 20 = 277 6. 935 + 30 = 965 7. 726 + 30 = 756 8. 412 + 40 = 452 257 + 21 = 278 935 + 31 = 966 726 + 31 = 757 412 + 41 = 453 Adding Multiples and Multiples + 1, - 1 1. 346 + 20 = 366 2. 257 + 20 = 277 3. 935 + 30 = 965 4. 726 + 30 = 756 5. 412 + 40 = 452 346 + 21 = 367 257 + 21 = 278 935 + 31 = 966 726 + 31 = 757 412 + 41 = 453 346 + 19 = 365 257 + 19 = 276 935 + 29 = 964 726 + 29 = 755 412 + 39 = 451 Subtracting Multiples and Multiples + 1 1. 75 - 20 = 55 75 - 21 = 54 2. 87 - 30 = 57 87 - 31 = 56 3. 94 - 40 = 54 94 - 41 = 53 4. 346 - 20 = 326 346 - 21 = 325 5. 257 - 20 = 237 6. 955 - 30 = 925 7. 786 - 30 = 756 8. 432 - 20 = 412 257 - 21 = 236 955 - 31 = 924 786 - 31 = 755 432 – 21 = 411 Subtracting Multiples and Multiples + 1, - 1 1. 346 - 20 = 326 2. 257 - 20 = 237 3. 935 - 30 = 905 4. 776 - 30 = 746 5. 492 - 40 = 452 346 - 19 = 327 257 - 19 = 238 935 - 29 = 906 776 - 29 = 747 492 - 39 = 453 346 - 21 = 325 257 - 21 = 236 935 - 31 = 904 776 - 31 = 745 492 - 41 = 451 Subtracting Multiples and Multiples + 1, - 1 (MH) 1. 346 - 20 = 326 2. 257 - 20 = 237 3. 935 - 30 = 905 4. 716 - 30 = 686 5. 419 - 40 = 379 © Hamilton Trust 346 - 19 = 327 257 - 19 = 238 935 - 29 = 906 716 - 29 = 687 419 - 39 = 380 346 - 21 = 325 257 - 21 = 236 935 - 31 = 904 776 - 31 = 685 419 - 41 = 378 Year 3 Autumn Maths Answers Week 8: Subtract by counting up 100 - 95 = 5 100 - 93 = 7 102 - 98 = 4 104 - 95 = 9 105 - 97 = 8 108 - 98 = 10 105 - 90 = 15 110 - 96 = 14 Subtract by counting up 100 - 87 = 13 100 - 81 = 19 112 - 90 = 22 114 - 97 = 17 113 - 95 = 18 115 - 98 = 17 108 - 86 = 22 105 - 81 = 24 103 - 85 = 18 104 - 89 = 15 Subtract by counting up 109 - 74 = 35 105 - 72 = 33 134 - 99 = 35 129 - 96 = 33 123 - 91 = 32 118 - 88 = 30 116 - 82 = 34 113 - 79 = 34 111 - 76 = 35 133 - 97 = 36 128 - 95 = 33 121 - 81 = 40 Change from £1 £1 - 34p = 66p £1 - 48p = 52p £1 - 49p = 51p £1 - 56p = 44p £1 - 71p = 29p £1 - 10p = 90p £1 - 12p = 88p £1 - 63p = 37p £1 - 87p = 13p £1 - 55p = 45p £1 - 65p = 35p £1 - 80p = 20p £1 - 19p = 81p £1 - 21p = 79p £1 - 73p = 27p £1 - 96p = 4p £1 - 64p = 36p 114 - 87 = 27 114 - 82 = 32 114 - 79 = 35 114 - 72 = 42 114 - 75 = 39 114 - 94 = 20 125 - 87 = 38 125 - 82 = 43 125 - 79 = 46 125 - 72 = 53 125 - 75 = 50 125 - 94 = 31 Change from £1 £1 - 43p = 57p £1 - 57p = 43p £1 - 56p = 44p Choose one number 108 - 87 = 21 108 - 82 = 26 108 - 79 = 29 108 - 72 = 36 108 - 75 = 33 108 - 94 = 14 © Hamilton Trust Year 3 Autumn Maths Answers 118 - 87 = 31 118 - 82 = 36 118 - 79 = 39 118 - 72 = 46 118 - 75 = 43 118 - 94 = 24 112 - 87 = 25 112 - 82 = 30 112 - 79 = 33 112 - 72 = 40 112 - 75 = 37 112 - 94 = 18 123 - 87 = 36 123 - 82 = 41 123 - 79 = 44 123 - 72 = 51 123 - 75 = 48 123 - 94 = 29 Week 9: © Hamilton Trust Year 3 Autumn Maths Answers © Hamilton Trust Year 3 Autumn Maths Answers © Hamilton Trust Year 3 Autumn Maths Answers Week 10: Dividing by 3, 4, 5 and 10 11 ÷ 3 = 3 r2 16 ÷ 5 = 3 r1 13 ÷ 5 = 2 r3 12 ÷ 5 = 2 r2 11 ÷ 4 = 2 r3 16 ÷ 4 = 4 14 ÷ 3 = 4 r2 14 ÷ 4 = 3 r2 14 ÷ 5 = 2 r4 21 ÷ 10 = 2 r1 © Hamilton Trust Year 3 Autumn Maths Answers Dividing by 2, 3, 4, 5 and 10 Section A: 11 ÷ 2 = 5 r1 17 ÷ 2 = 8 r1 13 ÷ 2 = 6 r1 9 ÷ 2 = 4 r1 11 ÷ 5 = 2 r1 17 ÷ 5 = 3 r2 13 ÷ 5 = 2 r3 9 ÷ 5 = 1 r4 11 ÷ 10 = 1 r1 17 ÷ 10 = 1 r7 13 ÷ 10 = 1 r3 9 ÷ 10 = 0 r9 12 ÷ 4 = 3 16 ÷ 4 = 4 15 ÷ 4 = 3 r3 20 ÷ 4 = 5 14 ÷ 4 = 3 r2 12 ÷ 5 = 2 r2 16 ÷ 5 = 3 r1 15 ÷ 5 = 3 20 ÷ 5 = 4 14 ÷ 5 = 2 r4 Section B: 12 ÷ 3 = 4 16 ÷ 3 = 5 r1 15 ÷ 3 = 5 20 ÷ 3 = 6 r2 14 ÷ 3 = 4 r2 Week 11: Part A Finding 1/3 and 2/3s 1/3 of 9 = 3 1/3 of 6 = 2 1/3 of 12 = 4 1/3 of 18 = 6 1/3 of 24 = 8 2/3 of 9 = 6 2/3 of 6 = 4 2/3 of 12 = 8 2/3 of 18 = 12 2/3 of 24 = 16 Part B Use cubes or number facts to help work out 1/3 and 2/3 of these numbers 1/3 of 21 = 7 1/3 of 27 = 9 1/3 of 33 = 11 1/3 of 39 = 13 1/3 of 30 = 10 1/3 of 36 = 12 2/3 of 21 = 14 2/3 of 27 = 18 2/3 of 33 = 22 2/3 of 39 = 26 2/3 of 30 = 20 2/3 of 36 = 24 Part C Use number facts and place value to help work out 1/3 and 2/3 of these numbers 1/3 of 30 = 10 1/3 of 300 = 100 1/3 of 3000 = 1000 © Hamilton Trust 2/3 of 30 = 20 2/3 of 300 = 200 2/3 of 3000 = 2000 Year 3 Autumn Maths Answers 1/3 of 60 = 20 1/3 of 600 = 200 1/3 of 6000 = 2000 © Hamilton Trust 2/3 of 60 = 40 2/3 of 600 = 400 2/3 of 6000 = 4000 Year 3 Autumn Maths Answers