y5/6 multiplication and division unit 1 (56262)...day 2 y5 multiplying three-digit numbers by...

Y5/6 Multiplication and division Unit 1 (56262)

Additional teacher instructions for practice sheets These notes indicate which practice sheets are most appropriate for which groups.

Day 1 Y5 Using the grid method Sheet 1Working towards ARE / Working at ARE / Greater Depth

Day 1 Y6 Multiplication practice Sheet 2Working towards ARE / Working at ARE / Greater DepthWorking towards ARE start at Q1 and use the grid method.Working at ARE start at Q5 and use short multiplication.Greater Depth start at Q7 and use short multiplication.

Day 2 Y5 Multiplying three digit numbers by single-digit numbers Sheet 1Working towards ARE / Working at ARE

Day 2 Y5 Multiplying three digit numbers by single-digit numbers Sheet 2 Greater Depth

Day 2 Y6 Written multiplication Sheet 3 Working towards ARE

Day 2 Y6 Multiplying four-digit numbers by single-digit numbers Sheet 4Working at ARE / Greater Depth

Day 3 Y5 Multiplication practice Sheet 1Working towards ARE / Working at ARE / Greater DepthWorking towards ARE can use the grid method.Most children should be able to complete these calculations using short multiplication.

Day 3 Y6 Money multiplication practice Sheet 2 Working towards ARE / Working at ARE / Greater DepthWorking towards ARE complete at least the first 6 questions.Working at ARE complete at least the first 8 questions.Greater Depth start at Q5 and complete the Challenge.

Day 4 Y5 Using the grid method to multiply 2-digit numbers Sheet 1Working towards ARE / Working at ARE / Greater DepthWorking towards ARE can use the grid method.Most children should be able to complete these calculations using short multiplication.

Day 4 Y6 Using the grid method to multiply 2-digit numbers Sheet 2 Working towards ARE / Working at ARE / Greater Depth

Day 5 Y5 Using the grid method to multiply 2-digit numbers Sheet 1Working towards ARE

Day 5 Y5 Using the grid method to multiply 2-digit numbers Sheet 2 Working at ARE / Greater Depth

Day 5 Y6 Using the grid method to multiply 3-digit numbers by 2-digit numbers Sheet 3 Working towards ARE

Day 5 Y6 Using the grid method to multiply 3-digit numbers by 2-digit numbers Sheet 4Working at ARE / Greater Depth© Hamilton Trust practice_mult-div_56262

© Hamilton Trust

Using the grid method Sheet 1

Which of these multiplications do you think will have the biggest answer? Which do you think will have the smallest?Now calculate each answer to check...

practice_mult-div_56262_day1

1. 3 × 426

2. 8 × 273

3. 4 × 821

4. 5 × 392

5. 6 × 719

6. 7 × 486

7. 4 × 926

8. 3 × 784

© Hamilton Trust

© Hamilton Trust practice_multi-div_56262

Multiplication practiceSheet 2

Use a written method to calculate the answers, but watch out for a few where you could use a mental method instead.

_day1

1. 3 × 472 2. 5 × 635 3. 4 × 222

4. 4 × 572 5. 3 × 299 6. 8 × 427

7. 7 × 684 8. 3 × 2513 9. 6 × 7238

10. 4 × 4025 11. 8 × 4582 12. 5 × 3200

13. 6 × 7438 14. 8 × 7869 15. 7 × 9786

Challenge

Which two products have a difference of 2500? Which have a difference of 100? (You may have to use some estimation to find these two)

© Hamilton Trust

© Hamilton Trust

Title

Body copy here

Challenge

Working at ARE Working at ARE

Challenge copy here...

© Hamilton Trust

© Hamilton Trust

Multiplying three-digit numbers by single-digit numbersSheet 1

Use a written or mental method to calculate the following.Approximate first.


479 × 5 4 × 835 523 × 4 5 × 614

214 × 9 234 × 6 3 × 534 211 × 5

© Hamilton Trust

© Hamilton Trust

Title

Body copy here

Challenge



© Hamilton Trust

© Hamilton Trust

Multiplying three-digit numbers by single-digit numbersSheet 2

Use a written or mental method to calculate the following.Approximate first.


479 × 6 4 × 835 527 × 7 5 × 678

914 × 6 234 × 8 9 × 534 222 × 7

© Hamilton Trust


Written multiplicationSheet 3

Use short multiplication to calculate the answers to the first two questions. Check your answers using the grid method. Then choose which method to use to solve the remaining questions.

_day2

1. 3 × 478

2. 6 × 538

3. 5 × 876

4. 6 × 226

5. 3 × 1242

6. 4 × 2321

7. 5 × 2014

8. 6 × 1157Challenge

Which will have a total closest to 4321? a) 1234 x 4 b) 654 x 7 c) 1441 x 3 Discuss with a partner. Use estimation but don’t actually work them out. Circle the one you think will be closest. Finally, check by calculating exact answers.

© Hamilton Trust


Multiplying 4-digit numbers by single-digit numbers Sheet 4

Use a written method to calculate these multiplications. Round the four-digit numbers to the nearest 100 to approximate each answer first.

_day2

1. 3 × 2493

2. 3 × 8241

3. 4 × 2854

4. 4 × 6178

5. 6 × 4728

6. 6 × 7236

7. 7 × 2143

8. 7 × 5942

9. 8 ×1487

10. 8 × 6048Challenge

Which will have a total closest to 4321? a) 1234 x 4 b) 654 x 7 c) 1441 x 3 Discuss with a partner. Use estimation but don’t actually work them out. Circle the one you think will be closest. Finally, check by calculating exact answers.

© Hamilton Trust

© Hamilton Trust

Title

Body copy here

Challenge



© Hamilton Trust

© Hamilton Trust

Multiplication practice Sheet 1

Before you start, which do you think will have the biggest answer? Which will have the smallest answer?


1. 3 × 243 2. 4 × 316 3. 5 × 233 4. 8 × 221

5. 6 × 324 6. 7 × 624 7. 4 × 354 8. 3 × 836

9. 7 × 346 10. 3 × 876 11. 8 × 527 12. 6 × 768

Challenge

Complete this multiplication with four different digits to give an answer as close as you can to 5005.

© Hamilton Trust


Money multiplication practiceSheet 2

Use a written method to calculate the answers, but watch out for a few where you could use a mental method instead.

_day3

1. 3 × £5.28 2. 5 × £2.99 3. 4 × £5.79

4. 4 × £4.16 5. 3 × £2.63 6. 8 × £4.43

7. 7 × £5.87 8. 3 × £25.01 9. 6 × £46.14

10. 4 × £25.42 11. 8 × £63.54 12. 5 × £32.45

13. 4 × £11.11 14. 8 × £52.69 15. 7 × £86.74

Challenge

Which will have a larger total? £34.34 x 4 or £43.43 x 3Can you say before you work them out to check? Were you correct?


Using the grid method to multiply 2-digit numbersSheet 1

Challenge

Choose a pair of numbers, one of which is between 20 and 30. Multiply them together. How many answers can you find between 800 and 1000?

_day4

1. 14 x 27 2. 18 x 24

3. 21 x 24 4. 23 x 25

5. 22 x 24

6. 24 x 31

7. 25 x 35

8. 23 x 36

9. 26 x 42

10. 24 x 53

x 20 7

10

4

x 20 4

10

8

x 20 4

20

1

x 20 5

20

3



Challenge

Choose two 2-digit numbers to multiply together to give an answer between 800 and 1000, then between 1000 and 2000, then between 2000 and 3000, then between 3000 and 4000.

_day4

1. 23 x 46

2. 28 x 52

3. 36 x 43

4. 34 x 68

5. 45 x 57

6. 42 x 74



_day5

Before you work these out, which do you think will have the biggest answer? And the smallest answer?

1. 23 x 52

2. 24 x 36

3. 26 x 43

4. 28 x 32

5. 25 x 64

6. 27 x 58



Challenge

Use the digits 4, 5, 6 and 7 to make a pair of 2-digit numbers with the greatest product that you can.

_day5


1. 24 x 67

2. 28 x 46

3. 32 x 58

4. 45 x 65

5. 37 x 73

6. 53 x 78


Using the grid method to multiply 3-digit numbersby 2-digit numbers

Sheet 3

_day5


1. 18 x 325

2. 15 x 643

3. 17 x 548

4. 23 x 521

5. 24 x 326

6. 26 x 423


Using the grid method to multiply 3-digit numbers by 2-digit numbers

Sheet 4

Challenge

Use the digits 2, 3, 4, 5 and 6 to make a 3-digit number and 2-digit number with the greatest product that you can.

_day5


1. 28 x 325

2. 25 x 643

3. 27 x 508

4. 32 x 427

5. 44 x 563

6. 52 x 470

7. 63 x 578

8. 76 x 453


Multiplication and divisionAnswers

Day 1 Y5 Using the grid method Sheet 1

1. 3 x 426 = 1278 5. 6 x 719 = 43142. 8 x 273 = 2184 6. 7 x 486 = 34023. 4 x 821 = 3284 7. 4 x 926 = 37044. 5 x 392 = 1960 8. 3 x 784 = 2352

Day 1 Y6 Multiplication practice Sheet 2

1. 3 × 472 = 14162. 5 × 635 = 31753. 4 × 222 = 8884. 4 × 572 = 22885. 3 × 299 = 8976. 8 × 427 = 34167. 7 × 684 = 47888. 3 × 2513 = 75399. 6 × 7238 = 43,42810. 4 × 4025 = 16,10011. 8 × 4582 = 36,65612. 5 × 3200 = 16,00013. 6 × 7438 = 44,62814. 8 × 7869 = 62,95215. 7 × 9786 = 68,502

Challenge

Product number 4 and product number7 have a difference of 2500. Product number 10 and product number 12 have a difference of 100.

Day 2 Y5 Multiplying three-digit numbers by single-digit numbers Sheet 1

479 x 5 = 2395 4 x 835 = 3340 523 x 4 = 2092 5 x 614 = 3070 214 x 9 = 1926 234 x 6 = 1404 3 x 534 = 1602 211 x 5 = 1055

Day 2 Y5 Multiplying three-digit numbers by single-digit numbers Sheet 2

479 x 6 = 2874 4 x 835 = 3340 527 x 7 = 3689 5 x 678 = 3390 914 x 6 = 5484 234 x 8 = 1872 9 x 534 = 4806 222 x 7 = 1554

Day 2 Y6 Written multiplication Sheet 3

1. 3 × 478 = 14342. 6 × 538 = 32283. 5 × 876 = 43804. 6 × 226 = 13565. 3 × 1242 = 37266. 4 × 2321 = 92847. 5 × 2014 = 10,0708. 6 × 1157 = 6942

Challenge

c) 1441 x 3 = 4323 since 7 x 654 = 4578 and 4 x 1234 = 4936

_answers



Day 2 Y6 Multiplying 4-digit numbers by 1-digit numbers Sheet 4

1. 3 × 2493 = 74792. 3 × 8241 = 24,7233. 4 × 2854 = 11,4164. 4 × 6178 = 24,7125. 6 × 4728 = 28,3686. 6 × 7236 = 43,4167. 7 × 2143 = 15,0018. 7 × 5942 = 41,5949. 8 × 1487 = 11,89610. 8 × 6048 = 48,384

Day 3 Y5 Multiplication practice Sheet 1

1. 3 x 243 = 729 2. 4 x 316 = 1264 3. 5 x 233 = 1165 4. 8 x 221 = 1768 5. 6 x 324 = 1944 6. 7 x 624 = 4368 7. 4 x 354 = 1416 8. 3 x 836 = 2508 9. 7 x 346 = 2422 10. 3 x 876 = 2628 11. 8 x 527 = 4216 12. 6 x 768 = 4608

Day 3 Y6 Money multiplication practice Sheet 2

1. 3 × £5.28 = £15.842. 5 × £2.99 = £14.953. 4 × £5.79 = £23.164. 4 × £4.16 = £16.645. 3 × £2.63 = £7.896. 8 × £4.43 = £35.447. 7 × £5.87 = £41.098. 3 × £25.01 = £75.039. 6 × £46.14 = £276.8410. 4 × £25.42 = £101.6811. 8 × £63.54 = £508.3212. 5 × £32.45 = £162.2513. 4 × £11.11 = £44.4414. 8 × £52.69 = £421.5215. 7 × £86.74 = £607.18

Challenge

4 x £34.34 = £137.36 and 3 x £43.43 = £130.29 so the first is larger.

Challenge

c) 1441 x 3 = 4323 since 7 x 654 = 4578 and 4 x 1234 = 4936

_answers

Challenge

Check multiplications, e.g. 834 x 6 = 5004, 625 x 8 = 5000.715 x 7 = 5005, but uses the digit 7 twice.



Day 4 Using the grid method to multiply 2-digit numbers Sheet 1

1. 14 x 27 2. 18 x 24 3. 21 x 24

4. 23 x 25 5. 22 x 24 7. 25 x 35

8. 23 x 26 9. 26 x 42 10. 24 x 53

Day 4 Y6 Using the grid method to multiply 2-digit numbers Sheet 2

1. 23 x 46 2. 28 x 52 3. 36 x 43

x 20 7

10 200 70 270

4 80 28 108

378

x 20 4

10 200 40 240

8 160 32 192

432

x 20 4

20 400 80 480

1 20 4 24

504

x 20 5

20 400 100 500

3 60 15 75

575

x 20 4

20 400 80 480

2 40 8 48

528

x 30 5

20 600 100 700

5 150 25 175

875

x 20 6

20 400 120 520

3 60 18 78

598

x 40 2

20 800 40 840

6 240 12 252

1092

x 50 3

20 1000 60 1060

4 200 12 212

1272

ChallengeChildren choose pairs of numbers which multiply to give answers between 800 and 1000 where one must be 21, 22, 23, 24, 25, 26, 27, 28 or 29, e.g. 21 x 43 = 903 or 22 x 42 = 924 or 26 x 34 = 884

x 40 6

20 800 120 920

3 120 18 138

1058

x 50 2

20 1000 40 1040

8 400 16 416

1456

x 40 3

30 1200 90 1290

6 240 18 258

1548

_answers



4. 34 x 68 5. 45 x 57 7. 42 x 74

ChallengeChildren choose pairs of numbers which multiply to give answers:Between 800 and 1000, e.g. 21 x 43 = 903 or 22 x 42 = 924 or 26 x 34 = 884Between 1000 and 2000, e.g. 54 x 23 = 1242 or 62 x 22 = 1364Between 2000 and 3000, e.g. 66 x 36 = 2376 or 56 x 46 = 2576Between 3000 and 4000, e.g. 73 x 43 = 3139 or 84 x 38 = 3192

x 60 8

30 1800 240 2040

4 240 32 272

2312

x 50 7

40 2000 280 2280

5 250 35 285

2565

x 70 4

40 2800 160 2960

2 140 8 148

3108


1. 23 x 52 2. 24 x 36 3. 26 x 43

4. 28 x 32 5. 25 x 64 6. 27 x 58

x 50 2

20 1000 40 1040

3 150 6 156

1196

x 30 6

20 600 120 720

4 120 24 144

864

x 40 3

20 800 60 860

6 240 18 258

1118

x 30 2

20 600 40 640

8 240 16 256

896

x 60 4

20 1200 80 1280

5 300 20 320

1600

x 50 8

20 1000 160 1160

7 350 56 406

1566


1. 24 x 67 2. 28 x 46 3. 32 x 58

x 60 7

20 1200 140 1340

4 240 28 268

1608

x 40 6

20 800 120 920

8 320 48 368

1288

x 50 8

30 1500 240 1740

2 100 16 116

1856

_answers



4. 45 x 65 5. 37 x 73 7. 53 x 78

Challenge

The combination 75 x 64 gives the greatest product of 4800.

x 60 5

40 2400 200 2600

5 300 25 325

2925

x 70 3

30 2100 90 2190

7 490 21 511

2701

x 70 8

50 3500 400 3900

3 210 24 234

4134

Day 5 Y6 Using the grid method to multiply 3-digit numbers by 2-digit numbers Sheet 3

1. 18 x 325 2. 15 x 643

3. 17 x 548 4. 23 x 521

5. 24 x 326 6. 26 x 423

x 300 20 5

10 3000 200 50 3250

8 2400 160 40 2600

5850

x 600 40 3

10 6000 400 30 6430

5 3000 200 15 3215

9645

x 500 40 8

10 5000 400 80 5480

7 3500 280 56 3836

9316

x 500 20 1

20 10000 400 20 10420

3 1500 60 3 1563

11983

x 300 20 6

20 6000 400 120 6520

4 1200 80 24 1304

7824

x 400 20 3

20 8000 400 60 8460

6 2400 120 18 2538

10998

_answers



Challenge

The combination 542 x 63 gives the greatest product of 34,146.

Day 5 Y6 Using the grid method to multiply 3-digit numbers by 2-digit numbers Sheet 4

1. 28 x 325 2. 25 x 643

3. 27 x 508 4. 32 x 427

5. 44 x 563 6. 52 x 470

7. 63 x 578 8. 76 x 453

x 300 20 5

20 6000 400 100 6500

8 2400 160 40 2600

9100

x 600 40 3

20 12000 800 60 12860

5 3000 200 15 3215

16075

x 500 0 8

20 10000 0 160 10160

7 3500 0 56 3556

13716

x 400 20 7

30 12000 600 210 12810

2 800 40 14 854

13664

x 500 60 3

40 20000 2400 120 22520

4 2000 240 12 2252

24772

x 400 70 0

50 20000 3500 0 23500

2 800 140 0 940

24440

x 500 70 8

60 30000 4200 480 34680

3 1500 210 24 1734

36414

x 400 50 3

70 28000 3500 210 31710

6 2400 300 18 2718

34428

_answers

y5/6 multiplication and division unit 1 (56262)...day 2 y5 multiplying three-digit numbers by...

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