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6•4 Lesson 2 Division of Fractions – Round 1
Lesson 2 NYS COMMON CORE MATHEMATICS CURRICULUM Division of Fractions – Round 1 6•4 Number Correct: ______ Directions: Determine the quotient of the fractions. 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 1 3 ÷ 2 5 5 1 ÷ 6 5 3 6 ÷ 7 11 2 8 ÷ 5 9 1 9 ÷ 6 10 11 8 ÷ 12 9 5 10 ÷ 6 13 7 13 ÷ 8 15 3 7 ÷ 5 9 14 13 ÷ 17 20 1 4 3 ÷4 2 5 1 3 6 ÷6 5 4 1 1 2 ÷3 4 8 3 7 1 ÷ 5 8 1 1 ÷4 5 2 Lesson 2: Date: © 2013 Common Core, Inc. Some rights reserved. commoncore.org 7 2 6 ÷ 11 8 3 16. 5 1 5 ÷3 6 2 17. 5 3 10 ÷ 12 8 7 18. 1 2 9 ÷8 3 5 19. 3 7 ÷6 4 10 20. 1 5 2 ÷3 3 6 21. 4 9 2 ÷7 5 10 22. 8 3 5 ÷3 9 5 23. 5 12 ÷ 5 9 24. 5 6 1 ÷2 6 7 25. 26. 10 ÷ 5 8 9 3 14 ÷ 10 5 27. 28. 7 9 9 ÷1 11 10 2 15 ÷ 24 3 29. 30. 32 ÷ 12 6 7 The Relationship of Multiplication and Division 12/11/13 This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License. Lesson 2 NYS COMMON CORE MATHEMATICS CURRICULUM Division of Fractions – Round 2 6•4 Number Correct: ______ Improvement: ______ Directions: Determine the quotient of the fractions. 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 1 3 ÷ 2 4 3 1 ÷ 5 7 5 1 ÷ 6 8 3 5 ÷ 8 9 1 2 ÷ 4 5 7 9 ÷ 8 10 8 4 ÷ 11 5 5 7 ÷ 6 12 3 8 ÷ 4 9 7 4 ÷ 11 7 3 1 1 ÷ 4 2 1 3 ÷2 10 4 2 7 5 ÷ 3 9 5 1 ÷6 6 2 6 1 ÷2 7 3 Lesson 2: Date: © 2013 Common Core, Inc. Some rights reserved. commoncore.org 7 1 ÷2 8 4 16. 3 3 ÷2 4 5 17. 1 1 4 ÷2 5 3 18. 3 2 4 ÷ 8 7 19. 4 1 ÷2 5 8 20. 1 5 1 ÷3 2 6 21. 2 1 3 ÷2 3 4 22. 3 3 4 ÷1 5 4 23. 1 1 7 ÷6 2 3 24. 4 9 3 ÷2 5 10 25. 5 1 3 ÷2 6 2 26. 3 1 3 ÷4 4 8 27. 28. 5 ÷4 5 6 8 ÷5 1 3 1 3 ÷2 4 29. 30. The Relationship of Multiplication and Division 12/11/13 This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License. Lesson 8 NYS COMMON CORE MATHEMATICS CURRICULUM Division of Fractions – Round 1 6•4 Number Correct: ______ Directions: Determine the quotient of the fractions. 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 4 2 ÷ 10 10 9 3 ÷ 12 12 6 4 ÷ 10 10 2 3 ÷ 8 8 2 6 ÷ 7 7 11 8 ÷ 9 9 5 10 ÷ 13 13 7 13 ÷ 8 16 3 7 ÷ 5 10 9 3 ÷ 30 5 1 4 ÷ 3 5 2 3 ÷ 5 4 3 5 ÷ 4 9 4 7 ÷ 5 12 3 5 ÷ 8 2 Lesson 8: Date: © 2013 Common Core, Inc. Some rights reserved. commoncore.org 16. 17. 18. 19. 20. 21. 22. 23. 24. 25. 26. 27. 28. 29. 30. 1 2 3 ÷ 8 3 5 1 1 ÷ 6 2 5 3 ÷2 8 4 1 4 ÷1 3 5 3 3 ÷2 4 10 1 1 2 ÷1 5 6 4 3 2 ÷1 9 5 2 2 1 ÷3 9 5 2 2 ÷3 3 3 2 1 ÷2 4 5 4÷1 2 9 1 3 ÷6 5 5 1 2 ÷1 6 3 2 10 ÷ 8 3 15 ÷ 2 3 5 Replacing Numbers with Letters 12/11/13 This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License. Lesson 8 NYS COMMON CORE MATHEMATICS CURRICULUM Division of Fractiona – Round 2 6•4 Number Correct: ______ Improvement: ______ Directions: Determine the quotient of the fractions. 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 10 5 ÷ 2 2 6 3 ÷ 5 5 10 2 ÷ 7 7 3 5 ÷ 8 8 1 3 ÷ 4 12 7 3 ÷ 5 10 8 4 ÷ 15 5 5 5 ÷ 6 12 3 7 ÷ 5 9 3 3 ÷ 10 9 3 7 ÷ 4 9 7 3 ÷ 10 8 4÷ 4 9 9 ÷ 2 3 5 ÷7 8 Lesson 8: Date: © 2013 Common Core, Inc. Some rights reserved. commoncore.org 16. 17. 18. 19. 20. 21. 22. 23. 24. 25. 26. 27. 28. 29. 30. 5 3 ÷1 8 4 1 2 ÷2 4 5 3 3 2 ÷ 5 8 3 2 1 ÷ 5 9 4÷2 3 8 1 1 ÷5 2 1 3 3 ÷1 3 4 2 1 2 ÷1 5 4 1 2 3 ÷2 2 3 4 3 1 ÷2 5 4 1 3 3 ÷1 6 5 3 1 3 ÷2 5 8 5 ÷1 1 6 3 1 3 ÷5 4 2 4 2 1 ÷5 3 4 Replacing Numbers with Letters 12/11/13 This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License. Lesson 11 NYS COMMON CORE MATHEMATICS CURRICULUM Greatest Common Factor – Round 1 6•4 Number Correct: ______ Directions: Determine the greatest common factor of each pair of numbers. 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. GCF of 10 and 50 16. GCF of 3 and 12 18. GCF of 15 and 35 20. GCF of 9 and 30 22. GCF of 12 and 28 24. GCF of 24 and 32 26. GCF of 45 and 60 28. GCF of 50 and 42 30. GCF of 5 and 35 17. GCF of 8 and 20 19. GCF of 10 and 75 21. GCF of 15 and 33 23. GCF of 16 and 40 25. GCF of 35 and 49 27. GCF of 48 and 72 29. Lesson 11: Date: © 2013 Common Core, Inc. Some rights reserved. commoncore.org GCF of 45 and 72 GCF of 28 and 48 GCF of 44 and 77 GCF of 39 and 66 GCF of 64 and 88 GCF of 42 and 56 GCF of 28 and 42 GCF of 13 and 91 GCF of 16 and 84 GCF of 36 and 99 GCF of 39 and 65 GCF of 27 and 87 GCF of 28 and 70 GCF of 26 and 91 GCF of 34 and 51 Factoring Expressions 12/11/13 This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License. Lesson 11 NYS COMMON CORE MATHEMATICS CURRICULUM Greatest Common Factor – Round 2 6•4 Number Correct: ______ Improvement: ______ Directions: Determine the greatest common factor of each pair of numbers. 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. GCF of 20 and 80 16. GCF of 9 and 36 18. GCF of 15 and 45 20. GCF of 9 and 45 22. GCF of 12 and 32 24. GCF of 40 and 72 26. GCF of 30 and 75 28. GCF of 30 and 28 30. GCF of 10 and 70 17. GCF of 12 and 24 19. GCF of 10 and 95 21. GCF of 18 and 33 23. GCF of 16 and 56 25. GCF of 35 and 63 27. GCF of 42 and 72 29. Lesson 11: Date: © 2013 Common Core, Inc. Some rights reserved. commoncore.org GCF of 33 and 99 GCF of 38 and 76 GCF of 26 and 65 GCF of 39 and 48 GCF of 72 and 88 GCF of 21 and 56 GCF of 28 and 52 GCF of 51 and 68 GCF of 48 and 84 GCF of 21 and 63 GCF of 64 and 80 GCF of 36 and 90 GCF of 28 and 98 GCF of 39 and 91 GCF of 38 and 95 Factoring Expressions 12/11/13 This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License. Lesson 17 NYS COMMON CORE MATHEMATICS CURRICULUM Addition of Decimals – Round 1 6•4 Number Correct: ______ Directions: Determine the sum of the decimals. 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 1.3 + 2.1 18. 8.3 + 4.6 20. 21.2 + 34.5 22. 32.34 + 16.52 24. 78.03 + 21.95 26. 14.7 + 32.8 28. 45.8 + 32.4 30. 102.5 + 213.7 32. 493.4 + 194.8 34. 3.6 + 2.2 19. 14.3 + 12.6 21. 14.81 + 13.05 23. 56.56 + 12.12 25. 32.14 + 45.32 27. 24.5 + 42.9 29. 71.7 + 32.6 31. 365.8 + 127.4 33. Lesson 17: Date: © 2013 Common Core, Inc. Some rights reserved. commoncore.org 14.08 + 34.27 24.98 + 32.05 76.67 + 40.33 46.14 + 32.86 475.34 + 125.88 561.09 + 356.24 872.78 + 135.86 788.04 + 324.69 467 + 32.78 583.84 + 356 549.2 + 678.09 497.74 + 32.1 741.9 + 826.14 524.67 + 764 821.3 + 106.87 548 + 327.43 108.97 + 268.03 Write Expressions in Which Letters Stand for Numbers 12/11/13 This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License. Lesson 17 NYS COMMON CORE MATHEMATICS CURRICULUM Addition of Decimals – Round 2 6•4 Number Correct: ______ Improvement: ______ Directions: Determine the sum of the decimals. 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 3.4 + 1.2 18. 12.4 + 17.5 20. 4.8 + 3.9 22. 32.3 + 14.92 24. 102.08 + 34.52 26. 62.7 + 34.89 28. 29.32 + 31.06 30. 217.4 + 87.79 32. 168.3 + 89.12 34. 5.6 + 3.1 19. 10.6 + 11.3 21. 4.56 + 1.23 23. 23.87 + 16.34 25. 35.91 + 23.8 27. 14.76 + 98.1 29. 103.3 + 32.67 31. 22.02 + 45.8 33. Lesson 17: Date: © 2013 Common Core, Inc. Some rights reserved. commoncore.org 67.82 + 37.9 423.85 + 47.5 148.9 + 329.18 4 + 3.25 103.45 + 6 32.32 + 101.8 62.1 + 0.89 105 + 1.45 235.91 + 12 567.01 + 432.99 101 + 52.3 324.69 + 567.31 245 + 0.987 191.67 + 3.4 347.1 + 12.89 627 + 4.56 0.157 + 4.56 Write Expressions in Which Letters Stand for Numbers 12/11/13 This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License. Lesson 19 NYS COMMON CORE MATHEMATICS CURRICULUM Subtraction of Decimals – Round 1 6•4 Number Correct: ______ Directions: Subtract the decimals to determine the difference. 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 9.4 − 4.1 16. 49.5 − 32.1 18. 9.2 − 6.8 20. 58.8 − 43.72 22. 116.32 − 42.07 24. 54.8 − 43.66 26. 144.54 − 42.09 28. 239.5 − 102.37 30. 7.4 − 3.2 17. 20.9 − 17.2 19. 7.48 − 2.26 21. 38.99 − 24.74 23. 46.83 − 35.6 25. 128.43 − 87.3 27. 105.4 − 68.22 29. Lesson 19: Date: © 2013 Common Core, Inc. Some rights reserved. commoncore.org 41.72 − 33.9 354.65 − 67.5 448.9 − 329.18 8 − 5.38 94.21 − 8 134.25 − 103.17 25.8 − 0.42 115 − 1.65 187.49 − 21 345.77 − 248.69 108 − 54.7 336.91 − 243.38 264 − 0.742 174.38 − 5.9 323.2 − 38.74 Substituting to Evaluate Addition and Subtraction Expressions 12/15/13 This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License. Lesson 19 NYS COMMON CORE MATHEMATICS CURRICULUM Subtraction of Decimals – Round 2 6•4 Number Correct: ______ Improvement: ______ Directions: Subtract the decimals to determine the difference. 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 8.4 − 5.4 16. 9.7 − 7.2 18. 34.5 − 13.2 20. 43.27 − 32.14 22. 64.74 − 31.03 24. 33.54 − 24.4 26. 45.2 − 32.7 28. 238.4 − 114.36 30. 5.6 − 3.1 17. 14.3 − 12.1 19. 14.86 − 13.85 21 48.48 − 27.27 23. 98.36 − 24.09 25. 114.7 − 73.42 27. 74.8 − 53.9 29. Lesson 19: Date: © 2013 Common Core, Inc. Some rights reserved. commoncore.org 14 − 10.32 43.37 − 28 24.56 − 18.88 33.55 − 11.66 329.56 − 284.49 574.3 − 342.18 154 − 128.63 247.1 − 138.57 12 − 3.547 1.415 − 0.877 185.774 − 154.86 65.251 − 36.9 144.2 − 95.471 2.11 − 1.949 100 − 34.746 Substituting to Evaluate Addition and Subtraction Expressions 12/15/13 This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License. Lesson 25 NYS COMMON CORE MATHEMATICS CURRICULUM Division of Fractions – Round 1 6•4 Number Correct: ______ Directions: Determine the quotients of the fractions. 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 1 3 ÷ 2 5 5 1 ÷ 6 5 3 6 ÷ 7 11 2 8 ÷ 5 9 1 9 ÷ 6 10 11 8 ÷ 12 9 5 10 ÷ 6 13 7 13 ÷ 8 15 3 7 ÷ 5 9 14 13 ÷ 17 20 1 4 3 ÷4 2 5 1 3 6 ÷6 5 4 1 1 2 ÷3 4 8 3 7 1 ÷ 5 8 1 1 ÷4 5 2 Lesson 25: Date: © 2013 Common Core, Inc. Some rights reserved. commoncore.org 7 2 6 ÷ 11 8 3 16. 5 1 5 ÷3 6 2 17. 5 3 10 ÷ 12 8 7 18. 1 2 9 ÷8 3 5 19. 3 7 ÷6 4 10 20. 1 5 2 ÷3 3 6 21. 4 9 2 ÷7 5 10 22. 8 3 5 ÷3 9 5 23. 5 12 ÷ 5 9 24. 5 6 1 ÷2 6 7 25. 26. 10 ÷ 5 8 9 3 14 ÷ 10 5 27. 28. 7 9 9 ÷1 11 10 2 15 ÷ 24 3 29. 30. 32 ÷ 12 6 7 Finding Solutions to Make Equations True 12/16/13 This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License. Lesson 25 NYS COMMON CORE MATHEMATICS CURRICULUM Division of Fractions – Round 2 6•4 Number Correct: ______ Improvement: ______ Directions: Determine the quotients of the fractions. 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 1 3 ÷ 2 4 3 1 ÷ 5 7 5 1 ÷ 6 8 3 5 ÷ 8 9 1 2 ÷ 4 5 7 9 ÷ 8 10 8 4 ÷ 11 5 5 7 ÷ 6 12 3 8 ÷ 4 9 7 4 ÷ 11 7 3 1 1 ÷ 4 2 1 3 ÷2 10 4 2 7 5 ÷ 3 9 5 1 ÷6 6 2 6 1 ÷2 7 3 Lesson 25: Date: © 2013 Common Core, Inc. Some rights reserved. commoncore.org 7 1 ÷2 8 4 16. 3 3 ÷2 4 5 17. 1 1 4 ÷2 5 3 18. 3 2 4 ÷ 8 7 19. 4 1 ÷2 5 8 20. 1 5 1 ÷3 2 6 21. 2 1 3 ÷2 3 4 22. 3 3 4 ÷1 5 4 23. 1 1 7 ÷6 2 3 24. 4 9 3 ÷2 5 10 25. 5 1 3 ÷2 6 2 26. 3 1 3 ÷4 4 8 27. 28. 5 ÷4 5 6 8 ÷5 1 3 1 3 ÷2 4 29. 30. Finding Solutions to Make Equations True 12/16/13 This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License. Lesson 28 NYS COMMON CORE MATHEMATICS CURRICULUM Addition of Decimals – Round 1 6•4 Number Correct: ______ Directions: Determine the sum of the decimals. 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 1.3 + 2.1 18. 8.3 + 4.6 20. 21.2 + 34.5 22. 32.34 + 16.52 24. 78.03 + 21.95 26. 14.7 + 32.8 28. 45.8 + 32.4 30. 102.5 + 213.7 32. 493.4 + 194.8 34. 3.6 + 2.2 19. 14.3 + 12.6 21. 14.81 + 13.05 23. 56.56 + 12.12 25. 32.14 + 45.32 27. 24.5 + 42.9 29. 71.7 + 32.6 31. 365.8 + 127.4 33. Lesson 28: Date: © 2013 Common Core, Inc. Some rights reserved. commoncore.org 14.08 + 34.27 24.98 + 32.05 76.67 + 40.33 46.14 + 32.86 475.34 + 125.88 561.09 + 356.24 872.78 + 135.86 788.04 + 324.69 467 + 32.78 583.84 + 356 549.2 + 678.09 497.74 + 32.1 741.9 + 826.14 524.67 + 764 821.3 + 106.87 548 + 327.43 108.97 + 268.03 Two-Step Problems―All Operations 12/16/13 This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License. Lesson 28 NYS COMMON CORE MATHEMATICS CURRICULUM Addition of Decimals – Round 2 6•4 Number Correct: ______ Improvement: ______ Directions: Determine the sum of the decimals. 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 3.4 + 1.2 18. 12.4 + 17.5 20. 4.8 + 3.9 22. 32.3 + 14.92 24. 102.08 + 34.52 26. 62.7 + 34.89 28. 29.32 + 31.06 30. 217.4 + 87.79 32. 168.3 + 89.12 34. 5.6 + 3.1 19. 10.6 + 11.3 21. 4.56 + 1.23 23. 23.87 + 16.34 25. 35.91 + 23.8 27. 14.76 + 98.1 29. 103.3 + 32.67 31. 22.02 + 45.8 33. Lesson 28: Date: © 2013 Common Core, Inc. Some rights reserved. commoncore.org 67.82 + 37.9 423.85 + 47.5 148.9 + 329.18 4 + 3.25 103.45 + 6 32.32 + 101.8 62.1 + 0.89 105 + 1.45 235.91 + 12 567.01 + 432.99 101 + 52.3 324.69 + 567.31 245 + 0.987 191.67 + 3.4 347.1 + 12.89 627 + 4.56 0.157 + 4.56 Two-Step Problems―All Operations 12/16/13 This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License. Lesson 30 NYS COMMON CORE MATHEMATICS CURRICULUM Subtraction of Decimals – Round 1 6•4 Number Correct: ______ Directions: Subtract the decimals to determine the difference. 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 9.4 − 4.1 16. 49.5 − 32.1 18. 9.2 − 6.8 20. 58.8 − 43.72 22. 116.32 − 42.07 24. 54.8 − 43.66 26. 144.54 − 42.09 28. 239.5 − 102.37 30. 7.4 − 3.2 17. 20.9 − 17.2 19. 7.48 − 2.26 21. 38.99 − 24.74 23. 46.83 − 35.6 25. 128.43 − 87.3 27. 105.4 − 68.22 29. Lesson 30: Date: © 2013 Common Core, Inc. Some rights reserved. commoncore.org 41.72 − 33.9 354.65 − 67.5 448.9 − 329.18 8 − 5.38 94.21 − 8 134.25 − 103.17 25.8 − 0.42 115 − 1.65 187.49 − 21 345.77 − 248.69 108 − 54.7 336.91 − 243.38 264 − 0.742 174.38 − 5.9 323.2 − 38.74 One-Step Problems in the Real World 12/16/13 This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License. Lesson 30 NYS COMMON CORE MATHEMATICS CURRICULUM Subtraction of Decimals – Round 2 6•4 Number Correct: ______ Improvement: ______ Directions: Subtract the decimals to determine the difference. 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 8.4 − 5.4 16. 9.7 − 7.2 18. 34.5 − 13.2 20. 43.27 − 32.14 22. 64.74 − 31.03 24. 33.54 − 24.4 26. 45.2 − 32.7 28. 238.4 − 114.36 30. 5.6 − 3.1 17. 14.3 − 12.1 19. 14.86 − 13.85 21. 48.48 − 27.27 23. 98.36 − 24.09 25. 114.7 − 73.42 27. 74.8 − 53.9 29. Lesson 30: Date: © 2013 Common Core, Inc. Some rights reserved. commoncore.org 14 − 10.32 43.37 − 28 24.56 − 18.88 33.55 − 11.66 329.56 − 284.49 574.3 − 342.18 154 − 128.63 247.1 − 138.57 12 − 3.547 1.415 − 0.877 185.774 − 154.86 65.251 − 36.9 144.2 − 95.471 2.11 − 1.949 100 − 34.746 One-Step Problems in the Real World 12/16/13 This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.