review packet - methacton school district...2 multiply integers: m05.a-t.2.1 multiply numbers divide...

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1 Grade 5 to 6 Review Packet

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Page 1: Review Packet - Methacton School District...2 Multiply integers: M05.A-T.2.1 Multiply Numbers Divide integers (Long Division): M05.A-T.2.2 Single digit division, with remainder

1

Grade 5 to 6

Review Packet

Page 2: Review Packet - Methacton School District...2 Multiply integers: M05.A-T.2.1 Multiply Numbers Divide integers (Long Division): M05.A-T.2.2 Single digit division, with remainder

2

Multiply integers: M05.A-T.2.1

Multiply Numbers

Divide integers (Long Division): M05.A-T.2.2

Single digit division, with remainder

Long Division with remainder (2-digit divisors)

Operations with decimals: M05.A-T.2.1.3

Adding decimals (up to 3 decimal digits)

Subtracting decimals in columns

Multiplying decimals in columns

Dividing decimals

Find equivalent fractions: M04.A-F.1.1.1

Simplifying Fractions

Equivalent Fractions

Convert mixed numbers and improper fractions: M04.A-F.2.1.2

Convert improper fractions to mixed numbers

Convert mixed numbers to improper fractions

Operations with fractions: M05.A-F.1.1.1

Adding unlike fractions

Subtracting unlike fractions

Multiplying fractions

Dividing fractions by fractions

Perform operations with mixed numbers: M05.A-F.1.1.1 (multiplication and division) and M05.A-F.2.1.3 (addition and

subtraction)

Adding mixed numbers (unlike denominators)

Subtracting mixed numbers (unlike denominators)

Multiplying fractions and mixed numbers

Dividing mixed numbers by fractions

Page 3: Review Packet - Methacton School District...2 Multiply integers: M05.A-T.2.1 Multiply Numbers Divide integers (Long Division): M05.A-T.2.2 Single digit division, with remainder

3

Multiply the following numbers

1. 426 × 46 2. 669 × 76 3. 594 × 94

4. 916 × 25 5. 785 × 49 6. 428 × 54

7. 165 × 85 8. 488 × 39 9. 536 × 88

Page 4: Review Packet - Methacton School District...2 Multiply integers: M05.A-T.2.1 Multiply Numbers Divide integers (Long Division): M05.A-T.2.2 Single digit division, with remainder

4

Division with Remainder

1. 389 ÷ 8 2. 304 ÷ 6 3. 837 ÷ 9

4. 706 ÷ 8 5. 444 ÷ 4 6. 239 ÷ 8

7. 670 ÷ 7 8. 196 ÷ 8 9. 488 ÷ 7

Page 5: Review Packet - Methacton School District...2 Multiply integers: M05.A-T.2.1 Multiply Numbers Divide integers (Long Division): M05.A-T.2.2 Single digit division, with remainder

5

Long Division with Remainders

1. 23 19,386 2. 18 22,829 3. 14 19,226

4. 21 39,171 5. 21 91,403 6. 23 31,389

Page 6: Review Packet - Methacton School District...2 Multiply integers: M05.A-T.2.1 Multiply Numbers Divide integers (Long Division): M05.A-T.2.2 Single digit division, with remainder

6

Adding Decimals

1. 0.164 + 0.11 2. 0.154 + 1.61 3. 1.09 + 0.055

4. 0.161 + 0.073 5. 1.50 + 0.2 6. 0.12 + 1.55

7. 0.082 + 0.58 8. 0.66 + 0.085 9. 0.131 + 0.016

10. 0.199 + 0.096 11. 1.36 + 1.76 12. 1.52 + 1.24

13. 0.077 + 0.01 14. 0.019 + 0.022 15. 1.92 + 1.63

Page 7: Review Packet - Methacton School District...2 Multiply integers: M05.A-T.2.1 Multiply Numbers Divide integers (Long Division): M05.A-T.2.2 Single digit division, with remainder

7

Subtracting Decimals

1. 0.963 − 0.482 2. 0.946 − 0.083 3. 9 − 4.34

4. 0.749 − 0.658 5. 0.782 − 0.41 6. 5.58 − 1.32

7. 0.605 − 0.027 8. 0.759 − 0.136 9. 6.99 − 0.39

10. 0.69 − 0.587 11. 4.16 − 3.77 12. 8.62 − 8.37

13. 7.82 − 3.81 14. 9.89 − 0.94 15. 8.56 − 3.94

Page 8: Review Packet - Methacton School District...2 Multiply integers: M05.A-T.2.1 Multiply Numbers Divide integers (Long Division): M05.A-T.2.2 Single digit division, with remainder

8

Multiplying decimals

1. 6.1 × 0.5 2. 0.28 × 0.86 3. 29.2 × 0.04

4. 60.8 × 10 5. 7.92 × 0.4 6. 11.2 × 1.9

Page 9: Review Packet - Methacton School District...2 Multiply integers: M05.A-T.2.1 Multiply Numbers Divide integers (Long Division): M05.A-T.2.2 Single digit division, with remainder

9

Dividing Decimals:

1. 0.24 ÷ 0.02 2. 1.65 ÷ 0.05 3. 1.72 ÷ 0.04

4. 1.26 ÷ 0.09 5. 1.45 ÷ 0.05 6. 1.05 ÷ 0.07

7. 1.38 ÷ 0.03 8. 0.30 ÷ 0.02 9. 1.94 ÷ 0.02

Page 10: Review Packet - Methacton School District...2 Multiply integers: M05.A-T.2.1 Multiply Numbers Divide integers (Long Division): M05.A-T.2.2 Single digit division, with remainder

10

Simplifying Fractions

1. 6

30 2.

4

40 3.

24

30

4. 6

8 5.

99

108 6.

4

8

7. 18

90 8.

50

80 9.

63

72

10. 9

72 11.

48

96 12.

49

70

Page 11: Review Packet - Methacton School District...2 Multiply integers: M05.A-T.2.1 Multiply Numbers Divide integers (Long Division): M05.A-T.2.2 Single digit division, with remainder

11

Equivalent Fractions

1. ?

3=

12

18 2.

9

12=

81

? 3.

18

?=

90

125

4. 3

?=

18

24 5.

?

6=

36

54 6.

?

5=

6

15

7. ?

7=

2

14 8.

?

2=

4

8 9.

6

12=

?

72

10. ?

10=

8

80 11.

1

?=

5

15 12.

?

25=

24

50

Page 12: Review Packet - Methacton School District...2 Multiply integers: M05.A-T.2.1 Multiply Numbers Divide integers (Long Division): M05.A-T.2.2 Single digit division, with remainder

12

Convert Improper Fractions into Mixed Numbers

1. 67

12 2.

59

10 3.

28

5

4. 12

8 5. 29/12 6.

7

2

7. 19

10 8.

9

2 9.

55

6

10. 46

12 11.

13

5 12.

69

8

13. 26

4 14.

29

6 15.

32

12

Page 13: Review Packet - Methacton School District...2 Multiply integers: M05.A-T.2.1 Multiply Numbers Divide integers (Long Division): M05.A-T.2.2 Single digit division, with remainder

13

Convert Mixed Numbers to Improper Fractions

1. 41

3 2. 6

3

7 3. 6

1

6

4. 13

12 5. 9

3

4 6. 2

2

11

7. 95

8 8. 2

4

10 9. 6

3

5

10. 61

9 11. 9

1

7 12. 10

4

8

Page 14: Review Packet - Methacton School District...2 Multiply integers: M05.A-T.2.1 Multiply Numbers Divide integers (Long Division): M05.A-T.2.2 Single digit division, with remainder

14

Adding Fractions (unlike denominators)

1. 1

2+

2

3 2.

2

7+

6

10

3. 1

6+

6

11 4.

5

9+

1

2

5. 2

7+

1

4 6.

1

4+

6

8

7. 1

2+

8

11 8.

2

12+

2

4

9. 3

5+

3

8 10.

6

9+

1

2

Page 15: Review Packet - Methacton School District...2 Multiply integers: M05.A-T.2.1 Multiply Numbers Divide integers (Long Division): M05.A-T.2.2 Single digit division, with remainder

15

Subtracting Fractions (unlike denominators)

1. 5

7−

2

3 2.

2

3−

3

8

3. 6

7−

2

6 4.

4

5−

2

3

5. 2

3−

1

6 6.

8

12−

1

5

7. 6

10−

4

8 8.

7

11−

1

3

9. 2

8−

1

6 10.

6

9−

2

5

Page 16: Review Packet - Methacton School District...2 Multiply integers: M05.A-T.2.1 Multiply Numbers Divide integers (Long Division): M05.A-T.2.2 Single digit division, with remainder

16

Multiplying Fractions

1. 6

3

12 2.

1

4

5

3. 2

7

8 4.

4

10×

1

6

5. 2

1

4 6.

8

10×

4

7

7. 8

12×

1

5 8.

5

1

3

9. 4

3

8 10.

1

2

6

Page 17: Review Packet - Methacton School District...2 Multiply integers: M05.A-T.2.1 Multiply Numbers Divide integers (Long Division): M05.A-T.2.2 Single digit division, with remainder

17

Dividing Fractions

1. 1

9

10 2.

5

1

2

3. 1

6

9 4.

8

10÷

2

5

5. 3

7

8 6.

2

1

2

7. 5

10÷

6

12 8.

7

11÷

1

6

9. 5

5

10 10.

1

1

7

Page 18: Review Packet - Methacton School District...2 Multiply integers: M05.A-T.2.1 Multiply Numbers Divide integers (Long Division): M05.A-T.2.2 Single digit division, with remainder

18

Adding Mixed Numbers

1. 31

4+ 3

5

8 2. 9

9

10+ 2

3

5

3. 35

11+ 7

2

3 4. 8

7

9+ 5

9

11

5. 62

7+ 7

1

2 6. 5

1

2+ 8

3

4

7. 102

3+ 7

1

7 8. 3

7

8+ 3

1

3

9. 43

7+ 6

1

5 10. 3

3

9+ 7

6

11

Page 19: Review Packet - Methacton School District...2 Multiply integers: M05.A-T.2.1 Multiply Numbers Divide integers (Long Division): M05.A-T.2.2 Single digit division, with remainder

19

Subtracting Mixed Numbers

1. 163

9− 10

2

5 2. 7

5

12− 2

1

2

3. 89

10− 3

2

3 4. 19

2

3− 11

5

8

5. 131

8− 12

5

6 6. 18

1

2− 17

2

8

7. 142

5− 13

1

3 8. 19

7

12− 19

1

5

9. 203

4− 18

2

3 10. 9

1

5− 5

2

3

Page 20: Review Packet - Methacton School District...2 Multiply integers: M05.A-T.2.1 Multiply Numbers Divide integers (Long Division): M05.A-T.2.2 Single digit division, with remainder

20

Multiplying Mixed Numbers and Fractions

1. 32

9

10 2. 1

1

3

8

3. 24

10×

4

5 4. 1

2

5

6

5. 31

1

4 6. 3

2

2

8

7. 21

3

6 8. 3

1

1

2

9. 14

1

8 10. 3

1

4

9

Page 21: Review Packet - Methacton School District...2 Multiply integers: M05.A-T.2.1 Multiply Numbers Divide integers (Long Division): M05.A-T.2.2 Single digit division, with remainder

21

Dividing Mixed Numbers by Fractions

1. 44

12÷

4

5 2. 3

2

5

6

3. 84

5

8 4. 2

1

3

4

5. 37

12÷

2

3 6. 1

3

2

5

7. 57

12÷

1

5 8. 7

2

2

4

9. 92

2

3 10. 2

5

2

6