Year 4 and 5 Decimals and Fractions Unit 1 (45412) Additional teacher instructions for practice sheets These notes indicate which practice sheets are most appropriate for which groups. Day 1 Y4 Tenths Sheet 1 Working towards ARE / Working at ARE / Greater Depth All children aim to attempt the challenge. Day 1 Y5 Place value addition and subtraction Sheet 2 Working towards ARE / Working at ARE / Greater Depth Children working towards ARE do the first 12 questions. Children working at ARE start at question 4 and do as many as they can. Greater Depth do questions 11 to 20 then the challenge. Day 2 Y4 Dividing by 10 Sheet 1 Working towards ARE / Working at ARE / Greater Depth Working towards ARE use digit cards on a place value grid to help. Working towards ARE / Working at ARE use a calculator to check. Day 2 Y5 Function machines Sheet 2 Working towards ARE / Working at ARE Day 2 Y5 Function machines Sheet 3 Greater Depth Day 3 Y4 Multiplying by 10 Sheet 1 Working towards ARE Day 3 Y4 Multiplying and dividing by 10 Sheet 2 Working at ARE / Greater Depth Day 3 Multiplying and dividing by 10 and 100 Sheet 3 Working towards ARE Day 3 Multiplying and dividing by 10, 100 and 1000 Sheet 4 Working at ARE / Greater Depth © Hamilton Trust practice_dec-frac_45412
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Year 4 and 5 Decimals and Fractions Unit 1 (45412)
Additional teacher instructions for practice sheets These notes indicate which practice sheets are most appropriate for which groups.
Day 1 Y4 Tenths Sheet 1Working towards ARE / Working at ARE / Greater DepthAll children aim to attempt the challenge.
Day 1 Y5 Place value addition and subtraction Sheet 2Working towards ARE / Working at ARE / Greater DepthChildren working towards ARE do the first 12 questions.Children working at ARE start at question 4 and do as many as they can.Greater Depth do questions 11 to 20 then the challenge.
Day 2 Y4 Dividing by 10 Sheet 1Working towards ARE / Working at ARE / Greater DepthWorking towards ARE use digit cards on a place value grid to help.Working towards ARE / Working at ARE use a calculator to check.
Day 2 Y5 Function machines Sheet 2 Working towards ARE / Working at ARE
Day 2 Y5 Function machines Sheet 3 Greater Depth
Day 3 Y4 Multiplying by 10 Sheet 1Working towards ARE
Day 3 Y4 Multiplying and dividing by 10 Sheet 2Working at ARE / Greater Depth
Day 3 Multiplying and dividing by 10 and 100 Sheet 3Working towards ARE
Day 3 Multiplying and dividing by 10, 100 and 1000 Sheet 4Working at ARE / Greater Depth
© Hamilton Trust practice_dec-frac_45412
© Hamilton Trust practice_dec-frac_45412
TenthsSheet 1
Write the decimal to go with each picture.
Challenge
Write all the numbers in order, smallest first.
_day1
© Hamilton Trust
© Hamilton Trust practice_dec-frac_45412
Place value addition and subtractionSheet 2
1. 4 + 0.53 2. 6.07 + 0.5 3. 5.78 – 0.08 4. 8.64 – 0.6
5. 8.23 + 0.1 6. 4.56 + 0.01 7. 8.47 – 0.01 8. 9.35 – 0.1
9. 6.21 + 0.2 10. 9.34 – 0.2 11. 8.25 + 0.03 12. 7.38 – 0.03
13. 9.34 + 0.11 14. 8.53 – 0.11 15. 4.73 + 1.01 16. 8.14 – 1.01
17. 4.27 + 1.2 18. 8.75 – 1.02 19. 3.24 + 1.23 20. 9.87 – 1.81
_day1
Challenge
Start at 4.36. Add or subtract tenths and hundredths to make an addition and subtraction chain ending with the number 5.02.
© Hamilton Trust
© Hamilton Trust practice_dec-frac_45412
Dividing by 10Sheet 1
_day2
78 ÷ 10 =
39 ÷ 10 =
72 ÷ 10 =
31 ÷ 10 =
60 ÷ 10 =
85 ÷ 10 =
8 ÷ 10 =
345 ÷ 10 =
234 ÷ 10 =
÷ 10 = 6.3
÷ 10 = 9.4
÷ 10 = 3.7Challenge
÷ 10 = 7 ÷ 10 = 10.1 ÷ 10 = 0.9 ÷ 10 = 1
© Hamilton Trust
© Hamilton Trust
Title
Body copy here
Challenge
Working at ARE Working at ARE
Challenge copy here...
© Hamilton Trust
© Hamilton Trust
Function machinesSheet 2
practice_dec-frac_45412_day2
3.6
0.7 × 10
× 100
2.64
0.06
32.4
2.7
54
0.8
÷ 10
8
40
37
÷ 100
1.26
© Hamilton Trust
© Hamilton Trust
Title
Body copy here
Challenge
Working at ARE Working at ARE
Challenge copy here...
© Hamilton Trust
© Hamilton Trust
Function machinesSheet 3
practice_dec-frac_45412_day2
2.75
0.7 × 10
× 100
74.5
0.02
258
4.5
78
0.04
÷ 10
70
48
0.09
÷ 100
174
© Hamilton Trust
© Hamilton Trust practice_dec-frac_45412
Multiplying by 10 Sheet 1
_day3
3.6 x 10 = 0.6 x 10 =
4.5 x 10 = x 10 = 4
2.7 x 10 = 23.5 x 10 =
x 10 = 81 32.7 x 10 =
6.2 x 10 = x 10 = 58
x 10 = 73 x 10 = 47
© Hamilton Trust
© Hamilton Trust practice_dec-frac_45412
Multiplying and dividing by 10 Sheet 2
_day3
4.7 × 10 =
0.7 × 10 =
2.3 = 23
45 ÷ 10 =
÷ 10 = 7.2
÷ 10 = 0.3
84 = 8.4
2.7 = 27
0.6 = 6
× 10 = 70
÷ 10 = 8.3
× 10 = 8Challenge
Think of a number, multiply it by 10 or divide by 10.Tell your partner what you did and the answer, but not the starting number. Can they work it out? Swap and repeat.
© Hamilton Trust
© Hamilton Trust practice_dec-frac_45412
Multiplying and dividing by 10 and 100 Sheet 3
1. 34.6 × 10 2. 34.6 × 100 3. 6.74 × 10 4. 6.74 × 100
5. 483 ÷ 10 6. 483 ÷ 100 7. 56.1 ÷ 10 8. 56.1 × 100
9. 83.4 × = 834 10. 83.4 ÷ = 8.34
11. 47.2 ÷ = 4.72 12. 47.2 × = 4720
_day3
© Hamilton Trust
© Hamilton Trust practice_dec-frac_45412
Multiplying and dividing by 10, 100 and 1000Sheet 4
1. 456.8 × 10 2. 4568 ÷ 10 3. 2.76 × 10 4. 843 ÷ 100
5. 47.3 × 100 6. 783 ÷ 100 7. 45.62 × 100 8. 783.4 ÷ 10
9. 45.74 × 1000 10. 3620 ÷ 1000
11. 348.2 × = 3482 12. 34,820 ÷ = 34.82
_day3
Challenge
Complete the following calculations.
78.43 × = 7843 78.43 × = 78,430 6450 ÷ = 64.5 6450 ÷ = 6.45
© Hamilton Trust practice_dec-frac_45412_answers
Decimals and FractionsAnswers
Day 1 Y4 Tenths Sheet 1
1.31.70.81.92.12.50.1
Challenge
Write all the numbers in order, smallest first.0.1 0.8 1.3 1.7 1.9 2.1 2.5
Day 1 Y5 Place value addition and subtraction Sheet 2
1. 4 + 0.53 = 4.53 2. 6.07 + 0.5 = 6.57 3. 5.78 - 0.08 = 5.74. 8.64 - 0.6 = 8.04 5. 8.23 + 0.1 = 8.33 6. 4.56 + 0.01 = 4.577. 8.47 - 0.01 = 8.46 8. 9.35 - 0.1 = 9.25 9. 6.21 + 0.2 = 6.4110. 9.34 - 0.2 = 9.14 11. 8.25 + 0.03 = 8.28 12. 7.38 - 0.03 = 7.3513. 9.34 + 0.11 = 9.45 14. 8.53 - 0.11 = 8.42 15. 4.73 + 1.01 = 5.7416. 8.14 - 1.01 = 7.13 17. 4.27 + 1.2 = 5.47 18. 8.75 - 1.02 = 7.7319. 3.24 + 1.23 = 4.47 20. 9.87 - 1.81 = 8.06
Challenge
Different answers are possible, e.g. 4.36 + 0.06 = 4.42, 4.42 - 0.1 = 4.32, 4.32 + 0.7 = 5.02
Day 2 Y4 Dividing by 10 Sheet 1
78 ÷ 10 = 7.8 8 ÷ 10 = 0.839 ÷ 10 = 3.9 345 ÷ 10 = 34.572 ÷ 10 = 7.2 234 ÷ 10 = 23.431 ÷ 10 = 3.1 63 ÷ 10 = 6.360 ÷ 10 = 6 94 ÷ 10 = 9.485 ÷ 10 = 8.5 37 ÷ 10 = 3.7
Challenge
70 ÷ 10 = 7 101 ÷ 10 = 10.1 9 ÷ 10 = 0.9 10 ÷ 10 = 1
© Hamilton Trust practice_dec-frac_45412_answers
Decimals and FractionsAnswers
Day 3 Y4 Multiplying by 10 Sheet 1
3.6 x 10 = 36 0.6 x 10 = 64.5 x 10 = 45 0.4 x 10 = 42.7 x 10 = 27 23.5 x 10 = 2358.1 x 10 = 81 32.7 x 10 = 3276.2 x 10 = 62 5.8 x 10 = 587.3 x 10 = 73 4.7 x 10 = 47
Day 3 Y4 Multiplying and dividing by 10 Sheet 2
4.7 x 10 = 47 84 ÷ 10 = 8.40.7 x 10 = 7 2.7 x 10 = 272.3 x 10 = 23 0.6 x 10 = 645 ÷ 10 = 4.5 7 x 10 = 7072 ÷ 10 = 7.2 83 ÷ 10 = 8.33 ÷ 10 = 0.3 0.8 x 10 = 8
Day 2 Y5 Function machines Sheet 2
3.6 x 10 = 36 2.7 ÷ 10 = 0.270.7 x 10 = 7 54 ÷ 10 = 5.41.26 x 10 = 12.6 0.8 ÷ 10 = 0.082.64 x 100 = 264 8 ÷ 100 = 0.080.06 x 100 = 6 40 ÷ 100 = 0.432.4 x 100 = 3240 37 ÷ 100 = 0.37
Day 2 Y5 Function machines Sheet 3
2.75 x 10 = 27.5 4.5 ÷ 10 = 0.450.7 x 10 = 7 78 ÷ 10 = 7.817.4 x 10 = 174 0.4 ÷ 10 = 0.0474.5 x 100 = 7450 70 ÷ 100 = 0.70.02 x 100 = 2 48 ÷ 100 = 0.482.58 x 100 = 258 9 ÷ 100 = 0.09
Day 3 Y5 Multiplying and dividing by 10 and 100 Sheet 3
1. 34.6 × 10 = 346 2. 34.6 × 100 = 3460 3. 6.74 × 10 = 67.44. 6.74 × 100 = 674 5. 483 ÷ 10 = 48.3 6. 483 ÷ 100 = 4.837. 56.1 ÷ 10 = 5.61 8. 56.1 × 10 = 561 9. 83.4 × 10 = 83410. 83.4 ÷ 10 = 8.34 11. 47.2 ÷ 10 = 4.72 12. 47.2 × 100 = 4720
© Hamilton Trust practice_dec-frac_45412_answers
Decimals and FractionsAnswers
Day 3 Y5 Multiplying and dividing by 10, 100 and 1000 Sheet 4
1. 456.8 × 10 = 4568 4. 843 ÷ 100 = 8.43 7. 45.62 × 100 = 4562
2. 4568 ÷ 10 = 456.8 5. 47.3 × 100 = 4730 8. 783.4 ÷ 10 = 78.34
10. 3620 ÷ 1000 = 3.62 11. 348.2 × 10 = 3482
3. 2.76 × 10 = 27.66. 783 ÷ 100 = 7.839. 45.74 × 1000 = 45740 12. 34,820 ÷ 1000 = 34.82
Challenge
78.43 × 100 = 7843 6450 ÷ 100 = 64.5
78.43 × 1000 = 78,430 6450 ÷ 1000 = 6.45
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