mental addi on and subtrac on · 2020. 11. 22. · 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46...

3132

3334

3536

3738

3940

4142

4344

4546

4748

4950

515253545556575859606162636465667668697071727347757677787980

8182

8384

8586

8788

8990

9192

9394

9596

9798

9910

01 2 3 4 5 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 036

Y5/6 Aut Week 11 Day 1© Hamilton Trust

Mental addi on and subtrac on

34,278

199

6700

320

120

401

42,000

76,472

402

499

20,000

70,400

2999

4200

3132

3334

3536

3738

3940

4142

4344

4546

4748

4950

515253545556575859606162636465667668697071727347757677787980

8182

8384

8586

8788

8990

9192

9394

9596

9798

9910

01 2 3 4 5 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 036

Y5/6 Aut Week 11 Day 1 E© Hamilton Trust

Multiplying three-digit numbers by two-digit numbers

1. 24 x 123

2. 52 x 223

3. 23 x 434

4. 24 x 535

5. 34 x 353

6. 39 x 522

7. 45 x 254

8. 44 x 324

Now make up two of your own.

3132

3334

3536

3738

3940

4142

4344

4546

4748

4950

515253545556575859606162636465667668697071727347757677787980

8182

8384

8586

8788

8990

9192

9394

9596

9798

9910

01 2 3 4 5 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 036

Y5/6 Aut Week 11 Day 1 H© Hamilton Trust

Multiplying three-digit numbers by two-digit numbers

1. 24 x 423

2. 56 x 423

3. 23 x 478

4. 34 x 535

5. 27 x 653

6. 38 x 586

7. 46 x 754

8. 64 x 387

Now make up two of your own.

3132

3334

3536

3738

3940

4142

4344

4546

4748

4950

515253545556575859606162636465667668697071727347757677787980

8182

8384

8586

8788

8990

9192

9394

9596

9798

9910

01 2 3 4 5 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 036


Mental division

Division

Example 68 ÷ 8

1. 30 ÷ 4

2. 19 ÷ 4

3. 33 ÷ 6

4. 42 ÷ 8

5. 38 ÷ 8

6. 78 ÷ 10

7. 46 ÷ 5

8. 33 ÷ 5

Answer with remainder

8 r 4

Answer with fraction

8 ½

Answer as a decimal

8.5

Answer as money

£8.50

3132

3334

3536

3738

3940

4142

4344

4546

4748

4950

515253545556575859606162636465666768697071727374757677787980

8182

8384

8586

8788

8990

9192

9394

9596

9798

99100

1 2 3 4 5 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 306


Find the costRa

bbit

meets

Newt

The

Yeti

Song by LobsterStew

The

Yeti

Son

g by

Lob

ster

Ste

w

Phea

sant

s o

f the prarie: the m

ovie

Phea

sant

s of

the

prar

ie: t

he m

ovie

Art Pencils Monster Paint Set

Find the cost of:

• seven boxes of pencils;• four books;• three DVDs;• fi ve CDs;• six paint sets.

Find the cost of three of each of these items.

Mrs Mer ens wants to buy the same present for each of her six grandchildren.

Her budget is £10 per child.

She could buy each child two items.

Work out what she could buy, and how much each op on would cost.

£4.75

£8.65£2.15

£6.29 £7.99

£8.76

3132

3334

3536

3738

3940

4142

4344

4546

4748

4950

515253545556575859606162636465666768697071727374757677787980

8182

8384

8586

8788

8990

9192

9394

9596

9798

99100

1 2 3 4 5 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 306


Adding four-digit numbers

1. 7543 + 3251 2. 8238 + 2793

3. 7378 + 4284 4. 8328 + 4127

5. 6753 + 3842 6. 8726 + 3784

7. 9278 + 3746 8. 8657 + 5846

Write two addi ons with totals over 10,000. All digits in each addi on must be diff erent!

3132

3334

3536

3738

3940

4142

4344

4546

4748

4950

5152535455565758596061626364656676686970717273

4775767778798081

8283

8485

8687

8889

9091

9293

9495

9697

9899

100

1 2 3 4 5 7 8 9 10 11 12 13 14 15 16 17 18 19 2021 22 23 24 25 26 27 28 29 036


Mental and written calculations

Choose how to solve as many of these calculations as you can.

1. 21 x 400 2. 6 x 378

3. 1264 ÷ 4 4. 34,783 - 19,998

5. 4 x 231 6. 288 ÷ 12

7. 17 x 635 8. 11.6 - 7.95

9. 76,846 + 34,763 10. 3789 + 6311

11. 875 ÷ 11 12. 78,432 - 5723

13. 6457 ÷ 5 14. 23.12 - 19.85

15. 40,000 - 11 16. 56,000 ÷ 8

3132

3334

3536

3738

3940

4142

4344

4546

4748

4950

5152535455565758596061626364656676686970717273

4775767778798081

8283

8485

8687

8889

9091

9293

9495

9697

9899

100

1 2 3 4 5 7 8 9 10 11 12 13 14 15 16 17 18 19 2021 22 23 24 25 26 27 28 29 036


Mental and written calculations

Choose how to solve as many of these calculations as you can.

1. 11 x 400 2. 6 x 335

3. 464 ÷ 4 4. 34,783 - 198

5. 4 x 211 6. 555 ÷ 5

7. 16 x 435 8. 11.6 - 7.9

9. 76,846 + 32,713 10. 3750 + 6350

11. 875 ÷ 3 12. 7432 - 5723

13. 457 ÷ 5 14. 23.12 - 19.99

15. 3000 - 5 16. 2500 ÷ 5

3132

3334

3536

3738

3940

4142

4344

4546

4748

4950

515253545556575859606162636465667668697071727347757677787980

8182

8384

8586

8788

8990

9192

9394

9596

9798

9910

01 2 3 4 5 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 036


A table to show the numbers of hits on a website

Day of the week am pm

Sunday 36,432 57,478

Monday 19,758 24,642

Tuesday 21,427 32,846

Wednesday 16,375 25,342

Thursday 18,631 26,492

Friday 17,563 42,869

Saturday 33,642 58,567

3132

3334

3536

3738

3940

4142

4344

4546

4748

4950

5152535455565758596061626364656676686970717273

4775767778798081

8283

8485

8687

8889

9091

9293

9495

9697

9899

100

1 2 3 4 5 7 8 9 10 11 12 13 14 15 16 17 18 19 2021 22 23 24 25 26 27 28 29 036


1. A book sold by an interne t company cost £6.75. They charge £2.95 packing and postage perdelivery. How much would it cost for three books to be delivered to the same address?

2. Sue is working out how many 600mm cupboards she can fit across her kitchen wallwhich is 2.5 m long. The cupboards cost £40 each and the work surface £20 per metre.What will be the total cost?

3. The local library is selling off some older copies of books. Sam wants to buy fivepaperbacks for 75p each and four hardbacks for £1.50 each.He has £10; does he have enough to buy all nine books?

4. Year 6 are going camping. There are 58 children and 9 staff. They will be staying infour-person tents. The staff do not want to share with the children.How many tents will be needed?

Stephanie is working out how much wallpaper to buy. The wall she wants to paper is 2.4m tall and 4m wide. The wallpaper is 50cm wide and comes in rolls of 10m in length. How many strips will she be able to get from one roll? How many rolls does she need to buy?

Word problems Work with a partner to decide what calculations are necessary to solve the following word problems, using brackets if necessary.

5.

3132

3334

3536

3738

3940

4142

4344

4546

4748

4950

5152535455565758596061626364656676686970717273

4775767778798081

8283

8485

8687

8889

9091

9293

9495

9697

9899

100

1 2 3 4 5 7 8 9 10 11 12 13 14 15 16 17 18 19 2021 22 23 24 25 26 27 28 29 036


1. A book usually costing £6.50 and another costing £5.80 have been reduced by 10%by an internet company. They charge £2.95 packing and postage per delivery.How much would it cost for both books to be delivered to the same address?

2. Sue is working out how many 600mm cupboards she can fit across her kitchen wallwhich is 2.6 m long. The cupboards cost £40 each and the work surface £20 per metre.What will be the total cost?

3. The local library is selling off some older copies of books. Sam wants to buy fivepaperbacks for 75p each and four hardbacks for £1.50 each. He has £10; does hehave enough to buy all nine books? Then he sees a bargain book for 50p.Can he afford that too?

4. Year 6 are going camping. There are 58 children (29 boys, the rest of the childrenare girls) and 9 staff. They will be staying in four-person tents. The staff does notwant to share with the children and there are no tents containing girls and boys.How many tents will be needed?

Stephanie is working out how much wallpaper to buy. The wall she wants to paper is 2.4m tall and 4m wide. The wallpaper is 50cm wide and comes in rolls of 10m in length. She’s been

advised to add on 10% to her measurement of the height to account for cutting. If she does this, how many strips will she be able to get from one roll? How many rolls does she need to buy?

Word problemsWork with a partner to decide what calculations are necessary to solve the following word problems, usin g brackets if necessary.

5.

© Hamilton Trust Year 5/6 Autumn Maths Answers

Maths Answers Autumn Year 5/6

Week 11:

Mental addition and subtraction

34,278 + 120 = 34,398 34,278 + 6700 = 40,978 120 + 6700 = 6820 34,278 + 76,472 = 110,750 120 + 76,472 = 76,592 34,278 + 4200 = 38,478 120 + 4200 = 4320 34,278 + 20,000 = 54,278 120 + 20,000 = 20,120 34,278 + 402 = 34,680 120 + 402 = 522 34,278 + 499 = 34,777 120 + 499 = 619 34,278 + 70,400 = 104,678 120 + 70,400 = 70,520 34,278 + 42,000 = 76,278 120 + 42,000 = 42,120 34,278 + 2999 = 37,277 120 + 2999 = 3119 34,278 + 320 = 34,598 120 + 320 = 440 34,278 + 401 = 34,679 120 + 401 = 521 34,278 + 199 = 34,477 120 + 199 = 319

6700 + 76,472 = 83,172 6700 + 4200 = 10,900 76,472 + 4200 = 80,672 6700 + 20,000 = 26,700 76,472 + 20,000 = 96,472 6700 + 402 = 7102 76,472 + 402 = 76,874 6700 + 499 = 7199 76,472 + 499 = 76,971 6700 + 70,400 = 77,100 76,472 + 70,400 = 146,872 6700 + 42,000 = 48,700 76,472 + 42,000 = 118,472 6700 + 2999 = 9699 76,472 + 2999 = 79,471 6700 + 320 = 7020 76,472 + 320 = 76,792 6700 + 401 = 7101 76,472 + 401 = 76,873 6700 + 199 = 6899 76,472 + 199 = 76,671

4200 + 20,000 = 24,200 4200 + 402 = 4602 20,000 + 402 = 20,402 4200 + 499 = 4699 20,000 + 499 = 20,499 4200 + 70,400 = 74,600 20,000 + 70,400 = 90,400 4200 + 42,000 = 46,200 20,000 + 42,000 = 62,000 4200 + 2999 = 7199 20,000 + 2999 = 22,999 4200 + 320 = 4520 20,000 + 320 = 20,320 4200 + 401 = 4601 20,000 + 401 = 20,401 4200 + 199 = 4399 20,000 + 199 = 20,199

402 + 499 = 901 402 + 70,400 = 70,802 499 + 70,400 = 70,899 402 + 42,000 = 42,402 499 + 42,000 = 42,499 402 + 2999 = 3401 499 + 2999 = 3498 402 + 320 = 722 499 + 320 = 819


402 + 401 = 803 499 + 401 = 900 402 + 199 = 601 499 + 199 = 698 70,400 + 42,000 = 112,400 70,400 + 2999 = 73,399 42,000 + 2999 = 44,999 70,400 + 320 = 70,720 42,000 + 320 = 42,320 70,400 + 401 = 70,801 42,000 + 401 = 42,401 70,400 + 199 = 70,599 42,000 + 199 = 42,199 2999 + 320 = 3319 2999 + 401 = 3400 320 + 401 = 721 2999 + 199 = 3198 320 + 199 = 519 401 + 199 = 600 76,472 - 70,400 = 6072 76,472 - 42,000 = 34,472 70,400 - 42,000 = 28,400 76,472 - 34,278 = 42,194 70,400 - 34,278 = 36,122 76,472 - 20,000 = 56,472 70,400 - 20,000 = 50,400 76,472 - 6700 = 69,772 70,400 - 6700 = 63,700 76,472 - 4200 = 72,272 70,400 - 4200 = 66,200 76,472 - 2999 = 73,473 70,400 - 2999 = 67,401 76,472 - 499 = 75,973 70,400 - 499 = 69,901 76,472 - 402 = 76,070 70,400 - 402 = 69,998 76,472 - 401 = 76,071 70,400 - 401 = 69,999 76,472 - 320 = 76,152 70,400 - 320 = 70,080 76,472 - 199 = 76,273 70,400 - 199 = 70,201 76,472 - 120 = 76,352 70,400 - 120 = 70,280 42,000 - 34,278 = 7722 42,000 - 20,000 = 22,000 34,278 - 20,000 = 14,278 42,000 - 6700 = 35,300 34,278 - 6700 = 27,578 42,000 - 4200 = 37,800 34,278 - 4200 = 30,078 42,000 - 2999 = 39,001 34,278 - 2999 = 31,279 42,000 - 499 = 41,501 34,278 - 499 = 33,779 42,000 - 402 = 41,598 34,278 - 402 = 33,876 42,000 - 401 = 41,599 34,278 - 401 = 33,877 42,000 - 320 = 41,680 34,278 - 320 = 33,958 42,000 - 199 = 41,801 34,278 - 199 = 34,079 42,000 - 120 = 41,880 34,278 - 120 = 34,158 20,000 - 6700 = 13,300 20,000 - 4200 = 15,800 6700 - 4200 = 2500 20,000 - 2999 = 17,001 6700 - 2999 = 3701 20,000 - 499 = 19,501 6700 - 499 = 6201 20,000 - 402 = 19,598 6700 - 402 = 6298 20,000 - 401 = 19,599 6700 - 401 = 6299 20,000 - 320 = 19,680 6700 - 320 = 6380


20,000 - 199 = 19,801 6700 - 199 = 6501 20,000 - 120 = 19,880 6700 - 120 = 6580

4200 - 2999 = 1201 4200 - 499 = 3701 2999 - 499 = 2500 4200 - 402 = 3798 2999 - 402 = 2597 4200 - 401 = 3799 2999 - 401 = 2598 4200 - 320 = 3880 2999 - 320 = 2679 4200 - 199 = 4001 2999 - 199 = 2800 4200 - 120 = 4080 2999 - 120 = 2879

499 - 402 = 97 499 - 401 = 98 402 - 401 = 1 499 - 320 = 179 402 - 320 = 82 499 - 199 = 300 402 - 199 = 203 499 - 120 = 379 402 - 120 = 282

401 - 320 = 81 401 - 199 = 202 320 - 199 = 221 401 - 120 = 281 320 - 120 = 200

199 - 120 = 79

Multiplying three digit numbers by two digit numbers (E)

1. 24 x 123 = 29522. 52 x 223 = 11,5963. 23 x 434 = 99824. 24 x 535 = 12,8405. 34 x 353 = 12,0026. 39 x 522 = 20,3587. 45 x 254 = 11,4308. 44 x 324 = 14,256

Multiplying three digit numbers by two digit numbers (H)

1. 24 x 423 = 10,1522. 56 x 423 = 23,6883. 23 x 478 = 10,9944. 34 x 535 = 18,1905. 27 x 653 = 17,6316. 38 x 586 = 22,2687. 46 x 754 = 34,6848. 64 x 387 = 24,768


Division Answer with remainder

Answer with fraction

Answer as a decimal

Answer as money

E.g. 68 ÷ 8 1. 30 ÷ 42. 19 ÷ 43. 33 ÷ 64. 42 ÷ 85. 38 ÷ 86. 78 ÷ 107. 46 ÷ 58. 33 ÷ 5

8 r 4 7 r 2 4 r 3 5 r 3 5 r 2 4 r 6 7 r 8 9 r 1 6 r 3

8 ½ 7½ 4¾ 5½ 5¼ 4¾ 74/5 91/5 63/5

8.5 7.5 4.75 5.5 5.25 4.75 7.8 9.2 6.6

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

Find the cost

7 boxes of pencils: 7 x £2.15 = £15.05 4 books: 4 x £4.75 = £19 3 DVDs: 3 x £7.99 = £23.97 5 CDs: 5 x £6.29 = £31.45 6 painting sets: 6 x £8.65 = £51.90

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

Pencils & books: 6 x £6.90 = £41.40 Pencils & CDs: 6 x £8.44 = £50.64 Paint sets: 6 x £8.65 = £51.90

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

Mental and written calculations (H)

1. 21 x 400 = 84002. 6 x 378 = 22683. 1264 ÷ 4 = 3164. 34,783 – 19,998 = 14,7855. 4 x 231 = 9246. 288 ÷ 12 = 247. 17 x 635 = 10,7958. 11.6 – 7.95 = 3.65

9. 76,846 + 34,763 = 111,60910. 3789 + 6311 = 10,10011. 875 ÷ 11 = 79 r612. 78,432 – 5723 = 72,70913. 6457 ÷ 5 = 1291 r214. 23.12 – 19.85 = 3.2715. 40,000 - 11 = 39,989

16. 56,000 ÷ 8 = 7000

Mental division


Mental and written calculations (E)

1. 11 x 400 = 44002. 6 x 335 = 20103. 464 ÷ 4 = 1164. 34,783 – 198 = 34,5855. 4 x 211 = 8446. 555 ÷ 5 = 1117. 16 x 435 = 69608. 11.6 – 7.9 = 3.79. 76,846 + 32,713 = 109,55910. 3750 + 6350 = 10,10011. 875 ÷ 3 = 291 r212. 7432 – 5723 = 170913. 457 ÷ 5 = 91 r214. 23.12 – 19.99 = 3.13

A table to show the numbers of hits on a website

Sunday 21,046 Monday 4884 Tuesday 11,419 Wednesday 8967 Thursday 7861 Friday 25,306 Saturday 24,925

Word problems (E)

1. 3 x £6.75 = £20.25 + £2.95 = £23.20 It would cost £23.20 to send 3 books to same address

2. 2500 ÷ 600 = 4 r100 It would cost Sue £210. 4 x £40 = £1602.5 x £20 = £50£160 + £50 = £210

3. 5 x £0.75 = £3.75 Sam can buy all 9 books for £9.75. 4 x £1.50 = £6.00£3.75 + £6.00 = £9.75

4. 9 ÷ 4 = 2 r1 3 tents for adults58 ÷ 4 = 14 r2 15 tents for children3 + 15 = 18 18 tents would be needed

15. 3000 - 5 = 2995

16. 2500 ÷ 5 = 500


5. 10 ÷ 2.4 = 4 r40cm They would get 4 strips from each roll. 4 ÷ 0.5 = 8 2 rolls of paper would be needed. 8 ÷ 4 = 2

Word problems (H)

1. £6.50 x 0.90 = £5.85 It would cost £14.02 to send the books £5.80 x 0.90 = £5.22 to the same address £5.85 + £5.22 + 2.95 = £14.02

2. 2600 ÷ 600 = 4 r200mm It would cost Sue £212 2.6 x 20 = £524 x 40 = £160£52 + £160 = £212

3. 5 x 0.75 = £3.75 Sam can buy all 9 books for £9.75, but he 4 x 1.50 = £6.00 can’t buy any extra 50p books total = £9.75

4. 58 – 29 = 29 They will want 19 tents, 8 for boys, 8 for girls 29 ÷ 4 = 7 r1 and 3 for staff 9 ÷ 4 = 2 r18 + 8 +3 = 19

5. 2.4 x 1.1 = 2.64 They would get 3 strips from each roll and 10 ÷ 2.64 = 3.78m 3 strips from each roll and 3 rolls would be 8 ÷ 3 = 2 r2 needed.

mental addi on and subtrac on · 2020. 11. 22. · 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46...

Documents