Maths Answers - Hamilton Trust Web viewMaths Answers. Summer Year . 3/4 . Week 1. Place value (MH) 327. 222. 456. 214. 340. 408. ... 4578 = 2361. 2. 5831 - 2726 = 3105. 3. 7259 - 3579

Maths AnswersSummer Year 3/4

Week 1

Place value (MH)

327

222

456

214

340

© Hamilton Trust Year 3/4 Summer Maths Answers

408

Sketch equipment to show these numbers: 132, 123, 205, 360

132

123

205

360


Whole class practice

1. 7825 - 800 = 70257825 - 20 = 7805

2. 5000 + 40 = 50405000 + 201 = 5201

3. 8734 - 730 = 80048734 - 8004 = 730

4. 7040 + 205 = 72457004 + 430 = 7434

5. 3475 - 75 = 34003475 - 470 = 3005

6. 430 + 2006 = 24362600 + 42 = 2642

7. 4358 + 101 = 44594358 - 11 = 4347

8. 2372 + 220 = 25922372 - 1001 = 1371

9. 6930 + 34 = 69646930 - 420 = 6510

10. 3654 + 2005 = 56593654 - 404 = 3250

Choose a 4-digit number, e.g. 4382. Add ONE number, then subtract ONE number to end up at 5555. Record what you did. Repeat for other 4-digit numbers.

For example:4382 + 2554 = 69366936 – 1381 = 5555


Round to the nearest 10 and 100

For example:

Number To the nearest 10 To the nearest 1005329 5330 5300

5391 5390 5400

0-1000 landmarked number line

Round to the nearest 10 and 100

For example:


2379 5842 7756

513 510 500

549 550 500

571 570 600

Count in steps of 100 and 50 (E)

Now make up your own counting in 50 sequences.

For example:

13, 63, 113, 163, 213, 263, 313, 363, 413


305 405 505 605 705 805

308 408 508 608 708 808

325 425 525 625 725 825

347 447 547 647 747 847

151 201 251 301 351 401

159 209 259 309 359 409

175 225 275 325 375 425

186 236 286 336 386 436

Count in steps of 100 (E)

Fill in the missing numbers.

Week 2

Addition Whole class practice

1. 478 + 318 = 796 7. 478 + 284 = 762 13. 876 + 572 = 14482. 539 + 427 = 966 8. 363 + 249 = 612 14. 738 + 427 = 11653. 447 + 236 = 683 9. 558 + 375 = 933 15. 886 + 485 = 13714. 683 + 234 = 917 10. 638 + 297 = 935 16. 945 + 478 = 14235. 761 + 152 = 913 11. 546 + 374 = 920 17. 846 + 354 = 12006. 572 + 334 = 906 12. 379 + 426 = 805 18. 675 + 486 = 1161


180 190

250 280 300

350 360 380

580

680

780

880

410

710

810

420

520

620

720

820

430 450

550

650

750

850

460

560

760

860

960

390

490

590

790

890

990

400

500

Using a written method to subtract four-digit numbers

1. 4563 - 2327 = 22362. 4563 - 2381 = 21823. 4563 - 2721 = 18424. 9675 - 4236 = 54395. 9675 - 4283 = 53926. 9675 - 4733 = 49427. 5472 - 3651 = 18218. 4731 - 3206 = 15259. 6348 - 3402 = 2946

Using a written method to subtract three-digit numbers

1. 343 - 218 = 1252. 746 - 253 = 4933. 837 - 351 = 4864. 514 - 234 = 2805. 823 - 465 = 3586. 942 - 767 = 1757. 535 - 278 = 2578. 628 - 349 = 279

Whole class practice

1. 4723 - 2518 = 2205 9. 7145 - 3312 = 38332. 8542 - 5136 = 3406 10. 6523 - 4357 = 21663. 9536 - 5252 = 4284 11. 8414 - 4276 = 41384. 7528 - 3254 = 4274 12. 5478 - 3582 = 18965. 6267 - 3423 = 2844 13. 9136 - 3240 = 58966. 8564 - 4602 = 3962 14. 8234 - 4564 = 36707. 9425 - 5284 = 4141 15. 7423 - 5745 = 16788. 6273 - 4528 = 1745 16. 5132 - 3647 = 1485

Use frog to subtract (E)

1. 123 - 68 = 552. 115 - 87 = 283. 134 - 95 = 394. 124 - 76 = 485. 132 - 83 = 496. 126 - 79 = 477. 135 - 88 = 478. 142 - 77 = 65


9. 128 - 82 = 4610. 136 - 64 = 72

Use frog to subtract (H)

1. 132 - 67 = 65 7. 225 - 168 = 572. 145 - 73 = 72 8. 153 - 76 = 773. 128 - 69 = 59 9. 253 - 176 = 774. 135 - 84 = 51 10. 132 - 87 = 455. 142 - 58 = 84 11. 332 - 287 = 456. 125 - 68 = 57 12. 231 - 179 = 52

Heights to descend from Everest summit to base camp

The summit 8848m‘The balcony’ Descend 453m 8395mCamp 4 Descend 460m 7935mCamp 3 Descend 467m 7468mCamp 2 Descend 890m 6578mCamp 1 Descend 495m 6083mBase camp Descend 703m 5380m

Choose Frog or column subtraction

5000 - 4982 = 18 5738 - 3425 = 2313 4000 - 3815 = 1857823 - 7785 = 38 2000 - 1672 = 328 7845 - 2341 = 55044006 - 3492 = 514 5200 - 4965 = 235 5783 - 2837 = 29467000 - 6351 = 649 6001 - 3995 = 2006 6402 - 6375 = 277843 - 3575 = 4268 8421 - 8379 = 42 8002 - 4594 = 34088506 - 8468 = 38 9845 - 5237 = 4608 9012 - 8978 = 34

Week 3

Adding three and four 2-digit numbers

1. 42 + 31 + 25 = 98

2. 53 + 32 + 43 = 128

3. 34 + 25 + 32 = 91

4. 63 + 42 + 34 = 139

5. 52 + 27 + 36 = 115

6. 48 + 24 + 32 = 104

7. 36 + 28 + 19 = 83© Hamilton Trust Year 3/4 Summer Maths Answers

8. 43 + 27 + 26 = 96

9. 28 + 39 + 27 = 94

10. 56 + 37 + 48 = 141

11. 74 + 56 + 36 = 166

12. 85 + 47 + 38 = 170

13. 42 + 34 + 14 + 35 = 125

14. 37 + 25 + 18 + 23 = 103

15. 45 + 24 + 38 + 34 = 141

16. 72 + 84 + 51 + 92 = 299

17. 78 + 89 + 58 + 67 = 292

18. 84 + 47 + 65 + 36 = 232

19. 58 + 73 + 87 + 45 = 263

20. 88 + 77 + 66 + 55 = 286


Estimating totals (E)

For example:

Close to 100:21 + 33 + 44 = 98

Close to 150:17 + 61 + 73 = 151


Estimating totals (H)

For example:

Close to 100:14 + 24 + 26 + 38 = 102

Close to 120:24 + 26 + 33 + 38 = 121

Close to 150:26 + 33 + 42 + 48 = 149

Close to 200:26 + 38 + 61 + 73 = 198


Column subtraction

1. 6939 - 4578 = 2361

2. 5831 - 2726 = 3105

3. 7259 - 3579 = 3680

4. 7845 - 2003 = 5842

5. 9678 - 5872 = 3806

6. 6543 - 3378 = 3165

7. 8456 - 6723 = 1733

8. 7329 - 4563 = 2766

9. 9374 - 3627 = 5747

10. 5437 - 1999 = 3438

11. 7350 - 4823 = 2527

12. 4325 - 2678 = 1647

13. 8234 - 4506 = 3728

14. 7416 - 3548 = 3868

15. 9045 - 3478 = 5567

Now make up your own subtractions that need three moves.

For example:

5674 - 2327 = 3347

7134 - 3906 = 3228


Adding and subtracting near multiples

Write +29, –19, +195, –203, +1998, –999 on board. Point to each in turn and ask chn to discuss in pairs how to add/subtract these numbers. Ask chn to say how their partner said they would add/subtract. After each model drawing an ENL jotting to show the addition/subtraction to/from 6745, e.g. a jump back of 200, then hop forward of 5 to subtract 195.

For example:5634 – 199 = 5435 Jump back 200 to 5434, then jump forward 1 to 5435870 + 3004 = 3874Jump forward 3000 to 3870, then jump forward 4 to 3874


Adding and subtracting near multiples (E)

For example:2500 + 30 = 2530Jump forward 30 to 25302500 + 31 = 2531Jump forward 30 to 2530, then jump forward 1 to 25312500 + 29 = 2529Jump forward 30 to 2530, then jump back 1 to 2529

974 -100 = 874Jump back 100 to 874974 -101 = 873Jump back 100 to 874, then jump back 1 to 873974 -99 = 875Jump back 100 to 874, then jump forward 1 to 875

Mental or written (MH)

5428 + 3100 = 8528

4783 + 5368 = 10,151

1999 + 2374 = 4373

5783 – 3847 = 1936

4872 - 203 = 4669


3004 - 2997 = 7

8387 - 3246 = 5141

4257 + 2010 = 6267

4158 + 320 = 4478

5782 + 759 = 6541

8748 - 3004 = 5744

5748 - 2341 = 3407

4345 - 1998 = 2347

4572 + 3728 = 8300

3245 + 2311 = 5556

5478 – 310 = 5168

Mental or written (E)

457 - 348 = 109

502 - 498 = 4


653 - 199 = 454

435 + 203= 638

875 + 564 = 1439

2475 + 2002 = 4477

4321 + 2432 = 6753

4635 + 199 = 4834

4002 - 3987 = 15

4758 + 2164 = 6922

8765 - 2341 = 6424

4578 – 2624 = 1954

Adding and subtracting money

For example:Increase price of sunglasses by 50p£6.75 + 50p = £7.25Reduce the price of the car by 40p£2.36 – 40p = £1.96


Adding and subtracting money (ME)

1. £4.78 - 70p = £4.08

2. £4.78 - 8p = £4.70

3. £4.78 - £4 = 78p

4. £8.35 - 5p = £8.30

5. £6.99 - 90p = £6.09

6. £5.75 - £5 = 75p

7. £9.99 - 9p = £9.90

8. £4.69 - 69p = £4.00

9. £8.45 - £8.40 = 5p

10. £5.47 - £5.07 = 40p

11. £4.59 + 20p = £4.79

12. £4.59 - 20p = £4.39

13. £5.79 - 5p = £5.74

14. £2.45 + 4p = £2.49

15. £7.25 + 30p = £7.55

16. £8.19 + 40p = £8.59

17. £9.78 - 30p = £9.48

18. £8.99 - 50p = £8.49

19. £6.85 - 40p = £6.45

20. £9.29 + 50p = £9.79


Word problems (M)

1. 5000 – 4678 = 322. Jess requires 322 points.2. 1918 + 95 = 2013. Nelson Mandela died in 2013.3. £4.68 + £5.79 = £10.47. No you could not buy them for less than £10.4. 246 – 89 = 157. 157 are adults.5. 3473 + 5632 = 9105. 9105 people passed through the ticket barrier guring the whole day.6. 2156 – 203 = 1953. It is now at a height of 1953 metres.

Now write your own word problems for a partner to solve, one for addition and one for subtraction. Use three-digit or four-digit numbers. You must be able to work out the answer!

For example:

If John scored 1347 points playing a video game and Jasmin scored 1647 points, how many points did they score together? 1347 + 1647 = 2994. They scored a combined total of 2994 points.

If Jose has £4.50 pocket money and spends £1.55 on a sandwich, how much money does he have left?£4.50 - £1.55 = £2.95. Jose has £2.95 left.


Word problems (E)

1. 1000 – 678 = 322. Magda requires 322 points.2. 1918 + 95 = 2013. Nelson Mandela died in 2013.3. £4.65 + £5.40 = £10.05.4. 176 – 39 = 157. 137 are adults.5. 3135 + 5132 = 8267. 8267 people passed through the ticket barrier guring the whole day.6. 1956 – 203 = 1753. It is now at a height of 1753 metres.


For example:

If Sophie scored 2447 points playing a video game and James scored 2147 points, how many points did they score together? 2447 + 2147 = 4594. They scored a combined total of 4594 points.

If Rosa has £5.00 pocket money and spends £1.10 on a magazine, how much money does she have left?£5.00 - £1.10 = £3.90. Rosa has £3.90 left.


Multi-step problems (H)

1. 126 x 2 = 252, 32 x 3 = 96, 10 x 0 = 0233 – 126 – 32 – 10 = 6565 x 1 = 65252 + 96 + 0 + 65 = 413. There 413 lambs.

2. 437 + 255 = 692692 – 103 = 589. There are 589 books left in the library.

3. 3245 + 1374 = 46194619 x £10 = £46, 190. Ticket sales were £46,190.

4. 1345 + 149 = 1494, 1494 – 32 = 1462. There are 1462 people on the train now.5. 246 – 89 = 157

£5 x 157 = £785. The cinema took £785 in ticket sales.


For example:There are 1546 supporters in the home stand of a football stadium and 2530 people in the away stand. When the 2 football teams arrive how many people are there in the stadium?1546 + 2530 = 4076, 11+ 11 = 224076 + 22 = 4098. There 4098 people in the football stadium.

A train sets off with 1248 people on board. At the first stop 36 people get off and 22 people get on and at the second stop 44 people get off and 52 people get on. How many people are now on the train?1248 – 36 = 1212, 1212 + 22 = 1234.1234 – 44 = 1190, 1190 + 52 = 1242.There are now 1242 people on board.


Week 4

Litres and millilitres

There are 1000ml in 1 litre, so:

8000ml is the same as 8l

3000ml is the same as 3.0l

5000 ml is the same as 5l



500 ml is the same as ½l


1500 ml is the same as 1 ½l



There are 1000ml in 1 litre, so


3000ml is the same as 3.0l



7000l is the same as 7l

500ml is the same as ½l


1500ml is the same as 1½l



Write these capacities in order: 4 litres, 500ml, 2 litres, 2ml, 4000ml, 1500ml.2ml, 500ml, 1500ml, 2 litres, 4000ml/4 litres (equal).


Thimble MillilitresWatering can Litres Washing up bowl Litres Bath Litres Yoghurt pot MillilitresSpoon MillilitresWater butt Litres Drinks bottle Millilitres

Write two more containers, one where you would measure the capacity in litres and one you would measure in millilitres.Example:Petrol tank Litres Can of soft drink Millilitres


Co-ordinates

Chn sit back to back and each draw a pentagon on their grid in a coloured pencil, different to each other. They swap coloured pencils. They take it in turns to read the co-ordinates of their shape to their partner who plots the co-ordinates and joins them with straight lines to draw a pentagon.

For example:

Co-ordinates (x,y):5,77,56,34,33,5


Find the perimeter

Find the perimeter

Perimeter = a + b + c + d




a

b

c

d

a

b

c

d

a

b

c

d





a

b

c

d

a

b

c

d

a

b

c

d

Find the perimeter

Perimeter = a + b + c + d + e

Perimeter = a + b + c + d + e + f + g + h

Perimeter = a + b + c + d + e


a b

c

d

e

ab

c

de

f

g

h

a

b

c

d

e

1-100 grid

Pairs to 100Chn play in pairs, they shuffle a pack of 0–9 cards, take two to make a 2-digit number. They work out how much is needed to make the next 10 and record the addition, e.g. 76 + 24 = 100. How many can they do in 5 mins? Some use a 1–100 grid if necessary.

For example:76 + 24 = 10065 + 35 = 10083 + 17 = 10016 + 84 = 100


Finding change

Draw coins to show how you might get the change for one toy.Use £5 to buy Teddy Bear £4.79. £5.00 - £4.79 = 21p

Choose two toys you could buy with a £10 note and work out the change. Racing car £3.46 + Jigsaw £2.95 = £6.41£10 - £6.41 = £3.59.

Draw notes/coins to show how you might get the change for one toy.Use £10 to buy Jigsaw £2.95. £10.00 - £2.95 = £7.05

Choose two toys you could buy with a £20 note and work out the change. Draw notes/coins to show how you might get the change for one toy.Art set £8.38 + Space hopper £7.89 = £16.27


0 - £1 penny lines

Say that each item will be paid for using a whole number of pounds, e.g. the toy costing £3.46 is paid for using 4 £1 coins. Help chn to use a money line (see resources) to find the change from the next pound. Next ask which items can be bought with a £5 note and help them to draw ENL jottings to find the change from £5.

For example:

4 x £1 coins = £4.00Toy costs £3.46£4.00 - £3.46 = 54p

£5 noteToy costs £3.46£5.00 - £3.46 = £1.54

Rectangles© Hamilton Trust Year 3/4 Summer Maths Answers

Work out the perimeter of these rectangles:

5m + 7m + 5m + 7m = 24m

12m + 5m + 12m + 5m = 34m

15m + 4m + 15m + 4m = 38m

6m + 6m + 6m + 6m = 24m

Rectangles


Work out the perimeter of these rectangles:

3m + 7m + 3m + 7m = 20m

10m + 4m + 10m + 4m = 28m

5m + 5m + 5m + 5m = 20m

22m + 10m + 22m + 10m = 64m

6m + 8m + 6m + 8m = 28m

Rectangles


Draw a square with a perimeter of 10cm.

2.5cm + 2.5cm + 2.5cm + 2.5cm = 10cm

Now draw other rectangles with a perimeter of 40cm.

15cm + 5cm + 15cm + 5cm = 40cm

12cm + 8cm + 12cm + 8cm = 40cm

How much more (H)


2.5cm

2.5cm2.5cm

2.5cm

15cm

15cm

5cm5cm

12cm

12cm

8cm8cm

£17 - £8.85 = £8.15. £8.15 is needed to buy the game.



4. £8.67 + £4.33 = £13

5. £6.45 + £7.55 = £14

6. £12.83 + £6.17 = £19

7. £7.64 + £7.36 = £15

8. £9.58 + £6.42 = £16

9. £11.52 + £5.48 = £17

10. £10.34 + £7.66 = £18

How much more (E)





4. £5.89 + £4.11 = £10

5. £7.25 + £ 2.75 = £10

6. £9.49 + 51p = £10

7. £8.58 + £1.42 = £10

8. £6.72 + £3.28 = £10


Week 5

Doubling numbers (M)

For example:Double 142 x 10 = 202 x 4 = 820 + 8 = 28

Double 272 x 20 = 402 x 7 = 1440 + 14 = 54


Doubling numbers (H)

For example:Double 292 x 20 = 402 x 9 = 1840 + 18 = 58

Double 722 x 70 = 1402 x 2 = 470 + 4 = 144


Placing numbers with one decimal place on a line (page 4) Y3/4 Sum Week 5 Day 1

For example:

Place Value Grid For example:8 x 10 = 808 ÷ 10 = 0.88 ÷ 100 = 0.08


1.2 4.6 7.9

8 0.8 0.0880

Place value chart For example:4 ÷ 10 = 0.44 ÷ 100 = 0.044 x 1 = 44 x 10 = 404 x 100 = 400

Multiplying and dividing by 10 and 100

1. 5 ÷ 10 = 0.5

2. 5 ÷ 100 = 0.05

3. 0.6 × 10 = 6

4. 0.6 ÷ 10 = 0.06

5. 0.07 × 100 = 7

6. 0.07 × 10 = 0.7

7. 9 ÷ 100 = 0.09

8. 4 ÷ 10 = 0.4

9. 0.01 × 100 = 1

10. 0.03 × 10 = 0.3

11. 0.8 × 10 = 8


12. 2 ÷ 100 = 0.02

13. 0.06 × 100 = 6

14. 0.02 × 10 = 0.2

Partially completed multiplication grid

Completed grid see below:


1-50 grid

For example:15 ÷ 5 = 325 ÷ 5 = 5

24 ÷ 3 = 830 ÷ 3 = 10

24 ÷ 4 = 632 ÷ 4 = 8

32 ÷ 8 = 440 ÷ 8 = 5


1-100 grid

For example:60 ÷ 4 = 1588 ÷ 4 = 22

72 ÷ 8 = 996 ÷ 8 = 12

Multiplying and dividing by 10 and 100

1. 3.4 × 10 = 34

2. 7.8 × 10 = 78

3. 0.34 × 10 = 3.4

4. 0.34 × 100 = 34


5. 6.45 × 10 = 64.5

6. 6.45 × 100 = 645

7. 1.67 × 100 = 167

8. 0.28 × 10 = 2.8

9. 2.7 × 10 = 27

10. 0.52 × 100 = 52

11. 0.83 × 10 = 8.3

12. 4.78 × 100 = 478

Now think of a number, multiply it by 10 or 100. Tell your partner what you did and the answer, but not the starting number. Can they work it out? Swap and repeat.For example:Mystery number multiplied by 10 is 120. 120 ÷ 10 = 12. Mystery number is 12.

Mystery number multiplied by 100 is 900. 900 ÷ 100 = 9. Mystery number is 9.

Multiplying and dividing by 10 and 100 (MH)

1. 0.34 × 100 = 34

2. 0.45 × 10 = 4.5

3. 2.8 ÷ 10 = 0.28

4. 73 ÷ 100 = 0.73

5. 5.78 × 100 = 578

6. 46.3 ÷ 10 = 4.63

7. 2.7 × 10 = 27

8. 2.52 × 100 = 252


9. 0.83 × 10 = 8.3

10. 71 ÷ 100 = 0.71

11. 24.6 ÷ 10 = 2.46

12. 896 ÷ 10 = 89.6

Now think of a number, multiply it by 10 or 100, or divide by 10 or 100. Tell your partner what you did and the answer, but not the starting number. Can they work it out? Swap and repeat.Mystery number divided by 10 is 12. 12 x 10 = 120. Mystery number is 120.

Mystery number multiplied by 100 is 120. 120 ÷ 100 = 1.2. Mystery number is 1.2.

The Grid method (ME)

Draw your own grids for these: 5. 4 × 13 6. 6 × 13 7. 3 × 15 8. 7 × 15 9. 8 × 12 10. 9 × 12


40 16 56

50 20 70

80 32 112

30 9 39

100 square

For example:

1/100 = 0.01


4 × 1310

40

3

12 52

6 × 136 60 18 78

3

3 × 15

5.

6.

7.

8.

3

5

30 15 45

7 × 157 70 35 105

5

8 × 12

9 × 12

9.

10.

8 80 16 96

2

9 90 18 108

2

10/100 = 1/10 = 0.1

20/100 = 2/10 = 0.2


100 square


0.2 10/100 = 1/10 = 0.1 50/100 = 5/10 = 0.5 40/100 = 4/10 = 0.4 80/100 = 8/10 = 0.8

0.07 25/100 = 0.25 75/100 = 0.75 90/100 = 0.9 99/100 = 0.99

Week 6

Fill in the missing numbers

1. What number comes after 1034? 10352. What number comes after 1079?10803. What number comes before 1061?10604. What number comes between 1043 and 1045?10445. Write three numbers between 1020 and 1030.For example:1024, 1027, 1029


Fill in the missing numbers

Place Value Grid

Use 3 digit cards to make the biggest number, then the smallest number and record the inequality.For example:3.677.633.67 < 7.63

2.434.322.43 < 4.32


1180 1190

1250 1280 1300

1350 1360 1300 1390 1400

1410 1420 1430 1400

1450 1400

1460 1400

1490 1400

1500 1400

1520 1400

1550 1400

1560 1400

1580 1400

1590 1400

1620 1400

1650 1400

1680 1400

1710 1400

1720 1400

1750 1400

1760 1400

1780 1400

1790 1400

1810 1400

1820 1400

1850 1400

1860 1400

1880 1400

1890 1400

1960 1400

1990 1400

Making four-digit numbers

1000 + 400 + 30 + 8 = 1438

Write your own place value additions like this.For example:1000 + 700 + 80 + 1 = 17811000 + 200 + 1 + 9 = 1219

Placing decimals on a line (H)

0.5, 0.6, 0.99, 1.15, 1.45, 1.79, 1.85, 1.9.


1592

2.4 2.82.25

2.49 2.75

5.3 5.45 5.99

0.01 – 1 square

What number will go at the end of the first row? 0.1

What number you think will go in the square underneath 0.1?0.2

What number will go at the bottom right-hand corner? 1.0

What number will go beneath 0.15? 0.25

Where 0.42, 0.49, 0.75 and 0.99 go on grid. (See above.)


0.1

0.2

1.0

0.15

0.25

0.42 0.49

0.75

0.99

Adding and subtracting 0.1 and 0.01

Write the missing numbers in the shaded boxes:


0.12 0.13 0.14 0.15 0.16 0.17 0.18 0.19

0.21

0.31

0.41

0.61

0.71

0.81

0.52 0.53 0.54 0.55 0.56 0.57 0.58 0.59 0.6

0.72 0.73 0.74 0.75 0.76 0.77 0.78 0.79

0.92 0.93 0.94 0.95 0.96 0.97 0.98 0.99

0.26 0.29 0.3

0.4

0.5

0.7

0.8

0.90.86 0.89

0.69

0.49

0.39

0.66

0.46

0.36

Adding and subtracting 0.1 and 0.01

Write in the missing numbers:

Adding three 3-digit numbers (H)

1. 278 + 421 + 324 = 1023

2. 548 + 276 + 435 = 1259

3. 864 + 758 + 627 = 2249

4. 428 + 347 + 326 = 1101

5. 542 + 178 + 126 = 846

6. 265 + 287 + 243 = 795

7. 328 + 385 + 176 = 889

8. 523 + 431 + 363 = 1317

Which of these additions do you think have answers of less than 1000? 846, 795, 889.

Which of these additions do you think have answers of more than 1000? 1023, 1259, 2249, 1101, 1317.


0.61 0.63

0.52

0.72

0.43

0.53 0.54

0.63

0.83

0.72 0.74 0.29

0.39 0.4

0.26

0.46

0.35 0.37

0.85

0.95 0.96

0.05

0.25

0.14 0.16 0.12

0.22 0.23

0.79

0.99

0.88 0.9

Adding pairs of 3-digit numbers (E)

1. 278 + 421 = 699

2. 522 + 158 = 680

3. 865 + 287 = 1152

4. 328 + 385 = 713

5. 523 + 431 = 954

6. 528 + 547 = 1075

7. 548 + 276 = 824

8. 864 + 758 = 1622

Which of these additions do you think have answers of less than 1000? 699, 680, 713, 954, 824.

Which of these additions do you think have answers of more than 1000? 1152, 1075, 1622.

Adding and subtracting multiples of 0.01 and 0.1 (H)

1. 0.78 - 0.5 = 0.28

2. 0.24 + 0.06 = 0.3

3. 0.37 + 0.6 = 0.97

4. 0.98 - 0.05 = 0.93

5. 0.49 + 0.02 = 0.51

6. 0.99 + 0.01 = 1

7. 0.2 - 0.05 = 0.15

8. 0.76 + 0.04 = 0.8

9. 0.34 + 0.5 = 0.84, 2.34 + 0.5 = 2.84


10. 0.72 + 0.04 = 0.76, 4.72 + 0.04 = 4.76

11. 0.96 - 0.3 = 0.66, 8.96 - 0.3 = 8.66

12. 0.48 - 0.06 = 0.42, 6.48 - 0.06 = 6.42

13. 8.43 + 0.4 = 8.83, 8.43 + 0.04 = 8.47

14. 4.86 - 0.5 = 4.36, 4.86 - 0.05 = 4.81

Adding amounts of money (ME)

a) Round the nearest pound to estimate each total. b) Then use column addition to find the exact answer.

1. £4.28 + £3.47 a) £4 + £3 = £7b) £4.28 + £3.47 = £7.75

2. £6.35 + £2.56a) £6 + £3 = £9b) £6.35 + £2.56 = £8.91

3. £4.82 + £3.54 a) £5 + £4 = £9b) £4.82 + £3.54 = £8.36

4. £5.64 + £1.73 a) £6 + £2 = £8b) £5.64 + £1.73 = £7.37

5. £3.27 + £2.49 a) £3 + £2 = £5b) £3.27 + £2.49 = £5.76

6. £4.52 + £1.83 a) £5 + £2 = £7b) £4.52 + £1.83 = £6.35

7. £6.45 + £5.23 a) £6 + £5 = £11b) £6.45 + £5.23 = £11.68


8. £7.28 + £5.37 a) £7 + £5 = £12b) £7.28 + £5.37 = £12.65

9. £8.74 + £4.82a) £9 + £5 = £14b) £8.74 + £4.82 = £13.56

Adding amounts of money (H)

a) Round the nearest pound to estimate each total. b) Then use column addition to find the exact answer.

1. £4.28 + £3.47 a) £4 + £3 = £7b) £4.28 + £3.47 = £7.75

2. £4.82 + £3.54 a) £5 + £4 = £9b) £4.82 + £3.54 = £8.36

3. £3.27 + £2.49 a) £3 + £2 = £5b) £3.27 + £2.49 = £5.76

4. £6.45 + £5.23 a) £6 + £5 = £11b) £6.45 + £5.23 = £11.68

5. £7.28 + £5.37 a) £7 + £5 = £12b) £7.28 + £5.37 = £12.65

6. £8.74 + £4.82a) £9 + £5 = £14b) £8.74 + £4.82 = £13.56


Draw two sets and label them 'More than £10' and 'Less than £10'. Estimate the totals and write these additions in the correct set. Then choose two from each set to solve.

£6.28 + £2.65 £4.72 + £4.86 £4.56 + £4.27 £6.81 + £3.87 £5.27 + £4.13 £7.83 + £2.79

More than £10 Less than £10£6.81 + £3.87 £6.28 + £2.65£7.83 + £2.79 £4.72 + £4.86

£4.56 + £4.27£5.27 + £4.13

£6.81 + £3.87 = £10.68 £6.28 + £2.65 = £8.93 £7.83 + £2.79 = £10.62 £4.72 + £4.86 = £9.58

Measurement problems (H)

1. A snail has crawled 4.56m. It crawls 30cm further, how far has it crawled now?4.56m + 30cm = 4.86m

2. Ben is 1.87m tall. His brother Sam is 40cm shorter. How tall is Sam?1.87m – 40cm = 1.47m

3. Magda is 1.54m tall. Her sister Alina is 5cm taller. How tall is she? 1.54m = 5cm = 1.59m

4. Marlene is making curtains. She needs them to be 1.75 m long, and needs to allow 20cm for the hems. What length of material does she need for one curtain?1.75m + 20cm = 1.95m

5. A new born Giraffe is 1.83 m tall. In the first month it has grown 30cm. how tall is it now? 1.83m + 30cm = 2.13m

6. A slug is 7.2cm long, but can stretch another 0.3cm! How long would it be then?7.2cm + 0.3cm = 7.5cm

7. A baby mouse is 6.1cm long. Last month it was 0.2cm shorter. How long was it then?6.1cm – 0.2cm = 5.9cm

Now make up your own measurement stories, one for addition and one for subtraction.For example:

A puppy is 30 cm tall. In the first month it grows 2.5cm. How tall is it now?30cm + 2.5cm = 32.5cm

A goose is 45cm tall. A duck is 7cm shorter. How tall is the duck?45cm – 7cm = 38cm


Measurement problems

Fill in the missing boxes.

Week 7

Scaling up (ME)

These ingredients will make one tray of scones. 200g self-raising flour 50g butter 100ml milk 25g caster sugar 50g sultanas

Scale up the recipe to make four trays of scones. 800g self-raising flour 200g butter 400ml milk 100g caster sugar 200g sultanas

These ingredients are enough to make 1 large jug of ginger beer. 140g fresh ginger


2.38m

3.49m

105cm

4.55m

8.82m

30cm

3cm

30cm

2cm

4 tablespoons muscovado sugar 3 lemons 1 litre sparkling mineral water 2 sprigs of fresh mint

Rewrite the list of ingredients to make 10 large jugs. 1400g (1.4kg) fresh ginger 40 tablespoons muscovado sugar 30 lemons 10 litres sparkling mineral water 20 sprigs of fresh mint

This list of ingredients makes vanilla ice cream.4 eggs, yolks only 100g golden caster sugar 300ml double cream 300ml full-fat milk 1 vanilla pod

Scale up this list of ingredients for vanilla ice cream so cook can make 10 times the amount! 40 eggs, yolks only 1000g (1kg) golden caster sugar 3000ml (3l) double cream 3000ml (3l) full-fat milk 10 vanilla pods

Scaling up (H)

This list of ingredients makes 8 scones. 225g self-raising flour 55g butter 25g caster sugar 150ml milk 1 egg

Write a list of ingredients that would make 32 scones (4 times as many). 900g self-raising flour 220g butter 100g caster sugar 600ml milk 4 eggs

This list of ingredients makes vanilla ice cream.3 large eggs, yolks only © Hamilton Trust Year 3/4 Summer Maths Answers

80g golden caster sugar 250 ml double cream 250 ml full-fat milk 1 vanilla pod

Scale up this list of ingredients for vanilla ice cream so cook can make 10 times the amount! 30 large eggs, yolks only 800g golden caster sugar 2500ml (2.5l) double cream 2500ml (2.5l) full-fat milk 10 vanilla pods

Division

Which numbers divide by 3, 4 or both without leaving any left over?

Whole class practice Division

1. 65 ÷ 5 = 13

2. 42 ÷ 3 = 14

3. 56 ÷ 4 = 14

4. 78 ÷ 6 = 13© Hamilton Trust Year 3/4 Summer Maths Answers

5. 51 ÷ 3 = 17

6. 72 ÷ 4 = 18

7. 96 ÷ 6 = 16

8. 104 ÷ 8 = 13

9. 72 ÷ 3 = 24

10. 120 ÷ 5 = 24

11. 92 ÷ 4 = 23

12. 154 ÷ 7 = 22

13. 138 ÷ 6 = 23

14. 105 ÷ 3 = 35

15. 136 ÷ 4 = 34

16. 175 ÷ 5 = 35

17. 204 ÷ 6 = 34

18. 288 ÷ 8 = 36

19. 288 ÷ 9 = 32

20. 266 ÷ 7= 38

Whole class practice Division

1. 38 ÷ 3 = 12 r2

2. 40 ÷ 3 = 13 r1

3. 50 ÷ 4 = 12 r2

4. 53 ÷ 4 = 13 r1

5. 63 ÷ 5 = 12 r3

6. 67 ÷ 5 = 13 r2

7. 47 ÷ 3 = 15 r2

8. 50 ÷ 3 = 16 r2


9. 57 ÷ 4 = 14 r1

10. 62 ÷ 4 = 15 r2

11. 69 ÷ 5 = 13 r4

12. 73 ÷ 5 = 14 r3

13. 85 ÷ 8 = 10 r5

14. 98 ÷ 8 = 12 r2

15. 103 ÷ 8 = 12 r7

16. 77 ÷ 4 = 19 r1

17. 110 ÷ 8 = 13 r6

18. 123 ÷ 8 = 15 r3


Documents

Maths Answers - Hamilton Trust Web viewMaths Answers. Summer Year . 3/4 . Week 1. Place value (MH) 327. 222. 456. 214. 340. 408. ... 4578 = 2361. 2. 5831 - 2726 = 3105. 3. 7259 - 3579