Maths Answers

Autumn Year 4

Week 1:

Placing numbers on a 0 – 1000 line (E + M)

450, 475, 925, 950

550, 575, 580, 595

340, 350, 360, 390

25, 225, 875, 975

Ordering and placing numbers on a 0 – 1000 line

a. 399, 501, 850, 975

b. 125, 340, 560, 949

c. 274, 279, 430, 895

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

2500, 5000, 6000, 7500

2000, 3000, 4000, 5000

5000, 5500, 6000, 6500

1000, 1250, 2500, 7500

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

a. 3990, 5001, 8500, 9750

b. 1250, 3400, 5600, 9490

c. 2740, 2790, 4300, 8950

Week 2:

2-digit + 2-digit grid with missing totals

+ / 48 / 80
24 / 72 / 104
57 / 105 / 137

2-digit + 2-digit grid with missing numbers

+ / 53 / 80
25 / 78 / 105
62 / 115 / 142

Adding two 2-digit numbers

+ / 25 / 40
20 / 45 / 60
32 / 57 / 72
+ / 35 / 45
22 / 57 / 67
53 / 88 / 98
+ / 28 / 58
23 / 51 / 81
32 / 60 / 90
+ / 75 / 46
27 / 102 / 73
31 / 106 / 77
+ / 70 / 85
36 / 106 / 121
24 / 94 / 109
+ / 89 / 96
27 / 116 / 123
39 / 128 / 135

Adding 3-digit and 2-digit numbers

Using the example numbers given:-

The biggest number possible: 742 + 51 = 793

An odd number, e.g. 524 + 17 = 541

An even number, e.g. 754 + 12 = 766

The smallest number possible: 147 + 25 = 172

A number with at least 1 digit repeated 2 times, e.g. 157 + 42 = 199

Counting up to subtract (E)

30 – 18 = 12

70 – 55 = 15

40 – 27 = 13

85 – 79 = 6

53 – 45 = 8

92 – 78 = 14

63 – 46 = 17

95 – 59 = 36

Counting up to subtract (MH)

33 – 18 = 15

72 – 55 = 17

53 – 27 = 26

65 – 36 = 29

81 – 45 = 36

74 – 39 = 35

95 – 76 = 19

67 – 38 = 29

Counting up or back to subtract

123 – 42 = 81

123 – 89 = 34

142 – 78 = 64

111 – 41 = 70

126 – 88 = 38

126 – 57 = 69

123 – 31 = 92

109 – 64 = 45

162 – 91 = 71

113 – 91 = 22

Week 3:

Adding 3-digit numbers using compact addition

A B C D

243 + 645 = 888 246 + 645 = 891 268 + 645 = 913 243 + 645 + 111 = 999

831 + 154 = 985 838 + 154 = 992 837 + 174 = 1011 631 + 154 + 213 = 998

755 + 321 = 1076 791 + 325 = 1116 755 + 386 = 1141 451 + 126 + 321 = 898

264 + 535 = 799 243 + 585 = 828 267 + 555 = 822 244 + 729 + 133 = 1106

426 + 453 = 879 426 + 456 = 882 466 + 456 = 922 327 + 115 + 453 = 895

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

400 - 359 = 41

400 - 372 = 28

400 - 395 = 5

400 - 384 = 16

400 - 362 = 38

400 - 378 = 22

400 - 391 = 9

400 - 385 = 15

400 - 363 = 37

Subtract pairs of 3-digit numbers (M)

407 – 359 = 48 413 – 359 = 54 404 – 359 = 45

407 – 372 = 35 413 – 372 = 41 404 – 372 = 32

407 – 395 = 12 413 – 395 = 18 404 – 395 = 9

407 – 384 = 23 413 – 384 = 29 404 – 384 = 20

407 – 362 = 45 413 – 362 = 51 404 – 362 = 42

407 – 378 = 29 413 – 378 = 35 404 – 378 = 26

407 – 391 = 16 413 – 391 = 22 404 – 391 = 13

407 – 385 = 22 413 – 385 = 28 404 – 385 = 19

407 – 363 = 44 413 – 363 = 50 404 – 363 = 41

405 – 359 = 46 406 – 359 = 47 403 – 359 = 44

405 – 372 = 33 406 – 372 = 34 403 – 372 = 31

405 – 395 = 10 406 – 395 = 11 403 – 395 = 8

405 – 384 = 21 406 – 384 = 22 403 – 384 = 19

405 – 362 = 43 406 – 362 = 44 403 – 362 = 41

405 – 378 = 27 406 – 378 = 28 403 – 378 = 25

405 – 391 = 14 406 – 391 = 15 403 – 391 = 12

405 – 385 = 20 406 – 385 = 21 403 – 385 = 18

405 – 363 = 42 406 – 363 = 43 403 – 363 = 40

412 – 359 = 53 409 – 359 = 50 415 – 359 = 56

412 – 372 = 40 409 – 372 = 37 415 – 372 = 43

412 – 395 = 17 409 – 395 = 14 415 – 395 = 20

412 – 384 = 28 409 – 384 = 25 415 – 384 = 31

412 – 362 = 50 409 – 362 = 47 415 – 362 = 53

412 – 378 = 34 409 – 378 = 31 415 – 378 = 37

412 – 391 = 21 409 – 391 = 18 415 – 391 = 24

412 – 385 = 27 409 – 385 = 24 415 – 385 = 30

412 – 363 = 49 409 – 363 = 46 415 – 363 = 52

Subtract pairs of 3-digit numbers

412 – 395 = 17 432 – 395 = 37 419 – 395 = 24

412 – 391 = 21 432 – 391 = 41 419 – 391 = 28

412 – 385 = 27 432 – 385 = 47 419 – 385 = 34

412 – 384 = 28 432 – 384 = 48 419 – 384 = 35

412 – 378 = 34 432 – 378 = 54 419 – 378 = 41

412 – 372 = 40 432 – 372 = 60 419 – 372 = 47

412 – 363 = 49 432 – 363 = 69 419 – 363 = 56

412 – 362 = 50 432 – 362 = 70 419 – 362 = 57

412 – 359 = 53 432 – 359 = 73 419 – 359 = 60

415 – 395 = 20 421 – 395 = 26 413 – 395 = 18

415 – 391 = 24 421 – 391 = 30 413 – 391 = 22

415 – 385 = 30 421 – 385 = 36 413 – 385 = 28

415 – 384 = 31 421 – 384 = 37 413 – 384 = 29

415 – 378 = 37 421 – 378 = 43 413 – 378 = 35

415 – 372 = 43 421 – 372 = 49 413 – 372 = 41

415 – 363 = 52 421 – 363 = 58 413 – 363 = 50

415 – 362 = 53 421 – 362 = 59 413 – 362 = 51

415 – 359 = 56 421 – 359 = 62 413 – 359 = 54

424 – 395 = 29 435 – 395 = 40 446 – 395 = 51

424 – 391 = 33 435 – 391 = 44 446 – 391 = 55

424 – 385 = 39 435 – 385 = 50 446 – 385 = 61

424 – 384 = 40 435 – 384 = 51 446 – 384 = 62

424 – 378 = 46 435 – 378 = 57 446 – 378 = 68

424 – 372 = 52 435 – 372 = 63 446 – 372 = 74

424 – 363 = 61 435 – 363 = 72 446 – 363 = 83

424 – 362 = 62 435 – 362 = 73 446 – 362 = 84

424 – 359 = 65 435 – 359 = 76 446 – 359 = 87

Using addition to check subtraction (E)

400 – 390 = 10

311 – 296 = 15

Using addition to check subtraction (M)

69 – 61 = 8

105 – 95 = 10

200 – 188 = 12

400 – 390 = 10

207 – 198 = 9

312 – 295 = 17

311 – 296 = 15

425 – 398 = 27

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

Week 5:

Doubling and Halving 3-digit numbers:

Part A

122 x 2 = 244

242 x 2 = 484

353 x 2 = 706

464 ÷ 2 = 232

862 ÷ 2 = 431

666 ÷ 2 = 333

Part B

263 x 2 = 526

374 x 2 = 748

445 x 2 = 890

438 x 2 = 876

344 ÷ 2 = 172

452 ÷ 2 = 226

463 ÷ 2 = 231.5

674 ÷ 2 = 337

Part C

366 x 2 = 732

378 x 2 = 756

455 x 2 = 910

568 x 2 = 1136

718 x 2 = 1436

856 x 2 = 1712

853 ÷ 2 = 426.5

627 ÷ 2 = 313.5

975 ÷ 2 = 487.5

793 ÷ 2 = 396.5

579 ÷ 2 = 289.5

953 ÷ 2 = 476.5

Week 6:

Mystery additions and subtractions

4326 + 200 = 4526

7843 – 10 = 7833

4565 + 3 = 4568

8245 + 300 = 8545

9745 – 3000 = 6745

5832 – 400 = 5432

Place Value Mystery 1

7248 - 200 = 7048

Place Value Mystery 2

4501 + 70 = 4571

Place Value Mystery 3

5340 + 5 - 5000 = 345

Adding and subtracting 100 (10 and 1000)

4278 + 100 = 4378 2947 – 10 = 2937

6209 – 100 = 6109 4936 + 10 = 4946

7053 + 100 = 7153 8299 + 10 = 8309

3018 – 100 = 2918 3206 – 10 = 3196

1963 + 100 = 2063 4927 + 1000 = 5927

1100 – 100 = 1000 4820 – 1000 = 3820

7950 + 100 = 8050 3007 – 10 = 2997

2006 – 100 = 1906 4996 + 10 = 5006

4404 + 100 = 4504

3499 – 100 = 3399

Mystery number: 1010, 2020, 3030, 4040, 5050, 6060, 7070, 8080 or 9090

Week 7:

Adding and subtracting using place value and number facts

Section A

358 + 140 = 498

231 + 306 = 537

632 + 215 = 847

176 + 621 = 797

754 + 241 = 995

867 - 640 = 227

985 - 501 = 484

865 - 631 = 234

547 - 124 = 623

999 - 333 = 666

Section B

356 + 402 = 758 points

263 + 530 = 793 points

414 + 463 = 877 points

642 - 221 = 421 points

550 - 225 = 225 points

Leader board reads: Harry, Jake, Holly, Eve and then Sam

Subtracting single-digit numbers from a teens number

13 - 5 = 8

17 - 2 = 15

12 - 7 = 5

19 - 3 = 16

16 - 8 = 8

14 - 4 = 10

15 - 6 = 9

18 - 4 = 14

11 - 9 = 2

17 - 8 = 9

Adding Multiples and Multiples + 1

1. 156 + 20 = 176 156 + 21 = 177 5. 257 + 200 = 457 257 + 201 = 458

2. 347 + 40 = 387 347 + 39 = 386 6. 435 + 300 = 735 435 + 299 = 734

3. 661 + 30 = 691 661 + 31 = 692 7. 726 + 100 = 826 726 + 101 = 827

4. 346 + 100 = 446 346 + 99 = 445 8. 412 + 400 = 812 412 + 399 = 811

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

1. 156 + 20 = 176 156 + 19 = 175 156 + 21 = 177

2. 347 + 40 = 387 347 + 39 = 386 347 + 41 = 388

3. 661 + 30 = 691 661 + 29 = 690 661 + 31 = 692

4. 346 + 100 = 446 346 + 99 = 445 346 + 101 = 447

5. 257 + 200 = 457 257 + 199 = 456 257 + 201 = 458

6. 435 + 300 = 735 435 + 299 = 734 435 + 301 = 736

7. 726 + 100 = 826 726 + 99 = 825 726 + 101 = 827

8. 412 + 400 = 812 412 + 399 = 811 412 + 401 = 813

9. 189 + 30 = 219 189 + 29 = 218 189 + 31 = 220

10. 275 + 40 = 315 275 + 39 = 314 275 + 41 = 316

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

596 - 40 = 556 768 - 40 = 728 556 - 40 = 516

596 - 41 = 555 768 - 41 = 727 556 - 41 = 515

596 - 500 = 96 768 - 500 = 268 556 - 500 = 56

596 - 501 = 95 768 - 501 = 267 556 - 501 = 55

596 - 20 = 576 768 - 20 = 748 556 - 20 = 536

596 - 19 = 577 768 - 19 = 749 556 - 19 = 537

596 - 300 = 296 768 - 300 = 468 556 - 300 = 256

596 - 301 = 295 768 - 301 = 467 556 - 301 = 255

689 - 40 = 649 999 - 40 = 959 759 - 40 = 719

689 - 41 = 648 999 - 41 = 958 759 - 41 = 718

689 - 500 = 189 999 - 500 = 499 759 - 500 = 259

689 - 501 = 188 999 - 501 = 498 759 - 501 = 258

689 - 20 = 669 999 - 20 = 979 759 - 20 = 739

689 - 19 = 670 999 - 19 = 980 759 - 19 = 740

689 - 300 = 389 999 - 300 = 699 759 - 300 = 459

689 - 301 = 388 999 - 301 = 698 759 - 301 = 458

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

596 - 40 = 556 768 - 40 = 728 556 - 40 = 516

596 - 41 = 555 768 - 41 = 727 556 - 41 = 515

596 - 39 = 557 768 - 39 = 729 556 - 39 = 517

596 - 500 = 96 768 - 500 = 268 556 - 500 = 56

596 - 501 = 95 768 - 501 = 267 556 - 501 = 55

596 - 499 = 97 768 - 499 = 269 556 - 499 = 57

596 - 20 = 576 768 - 20 = 748 556 - 20 = 536

596 - 21 = 575 768 - 21 = 747 556 - 21 = 535

596 - 19 = 577 768 - 19 = 749 556 - 19 = 537

596 - 300 = 296 768 - 300 = 468 556 - 300 = 256

596 - 301 = 295 768 - 301 = 467 556 - 301 = 255

596 - 299 = 297 768 - 299 = 469 556 - 299 = 257

689 - 40 = 649 999 - 40 = 959 759 - 40 = 719

689 - 41 = 648 999 - 41 = 958 759 - 41 = 718

689 - 39 = 650 999 - 39 = 960 759 - 39 = 720

689 - 500 = 189 999 - 500 = 499 759 - 500 = 259

689 - 501 = 188 999 - 501 = 498 759 - 501 = 258

689 - 499 = 190 999 - 499 = 500 759 – 499 = 260

689 - 20 = 669 999 - 20 = 979 759 - 20 = 739

689 - 21 = 668 999 - 21 = 978 759 - 21 = 738

689 - 19 = 670 999 - 19 = 980 759 - 19 = 740

689 - 300 = 389 999 - 300 = 699 759 - 300 = 459

689 - 301 = 388 999 - 301 = 698 759 - 301 = 458

689 - 299 = 390 999 - 299 = 700 759 - 299 = 460

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

596 - 40 = 556 739 - 40 = 699 511 - 40 = 471

596 - 41 = 555 739 - 41 = 698 511 - 41 = 470

596 - 39 = 557 739 - 39 = 700 511 - 39 = 472

596 - 500 = 96 739 - 500 = 239 511 - 500 = 11

596 - 501 = 95 739 - 501 = 238 511 - 501 = 10

596 - 499 = 97 739 - 499 = 240 511 - 499 = 12

596 - 20 = 576 739 - 20 = 719 511 - 20 = 491

596 - 21 = 575 739 - 21 = 718 511 - 21 = 490

596 - 19 = 577 739 - 19 = 720 511 - 19 = 492

596 - 300 = 296 739 - 300 = 439 511 - 300 = 211

596 - 301 = 295 739 - 301 = 438 511 - 301 = 210

596 - 299 = 297 739 - 299 = 440 511 - 299 = 212

619 - 40 = 579 556 - 40 = 516 728 - 40 = 688

619 - 41 = 578 556 - 41 = 515 728 - 41 = 687

619 - 39 = 580 556 - 39 = 517 728 - 39 = 689

619 - 500 = 119 556 - 500 = 56 728 - 500 = 228

619 - 501 = 118 556 - 501 = 55 728 - 501 = 227

619 - 499 = 120 556 - 499 = 57 728 – 499 = 229

619 - 20 = 599 556 - 20 = 536 728 - 20 = 708

619 - 21 = 598 556 - 21 = 535 728 - 21 = 707

619 - 19 = 600 556 - 19 = 537 728 - 19 = 709

619 - 300 = 319 556 - 300 = 356 728 - 300 = 428

619 - 301 = 318 556 - 301 = 355 728 - 301 = 427

619 - 299 = 320 556 - 299 = 357 728 - 299 = 429