Name: ________________________ Class: ___________________ Date: __________ Math 6/7 Fraction/Decimal/Percent Study Guide Multiple Choice Identify the choice that best completes the statement or answers the question. ____ ____ 1. In the figure shown, what fraction of rectangle ABCD is shaded? a. 1 4 c. 1 5 b. 3 5 d. 2 5 2. Which circle has approximately the same fraction shaded as that of the rectangle above? a. c. b. d. 1 ID: A Name: ________________________ ____ 3. Write the percent for the model. a. ____ ID: A 82% b. 41 50 c. 9 50 d. 18% c. 20% d. 80% 4. Write a fraction in simplest form for the model. a. 1 5 b. 4 5 2 Name: ________________________ ____ ID: A 5. In which list of fractions are all of the fractions equivalent? 5 10 20 1 2 5 c. 5 , 10 , 15 a. 8 , 16 , 32 b. 2 3 8 12 , 12 , 21 d. 3 9 12 1 , 18 , 3 Write each fraction or mixed number as a decimal. Use bar notation if the decimal is a repeating decimal. ____ 6. 2 15 a. b. ____ 0.13 7.5 c. d. 0.15 0.06 0.06 0.16 c. d. 2.6 0.375 3 10 c. 3 3 100 d. 3 1000 c. 29 d. 29 10 40% 160% c. d. 8% 0.4% 500% 80% c. d. 200% 0.8% 2 7. 2 3 a. b. Write each decimal as a fraction. ____ 8. 0.3 a. b. ____ 9. 0.29 29 a. 1000 b. 29 100 Write each fraction as a percent. ____ 10. 2 5 a. b. ____ 11. 4 5 a. b. 3 Name: ________________________ ID: A Write each percent as a fraction in simplest form. ____ 12. 40% 3 a. 5 c. 4 d. 2 5 c. 19 d. 1,900 c. d. 0.0649 64.9 c. d. 0.8 0.588 ____ 16. 0.68 a. 0.0068% b. 6.8% c. d. 68% 0.068% ____ 17. 0.631 a. 0.0631% b. 6.31% c. d. 63.1% 0.00631% 40 100 b. ____ 13. 19% 19 a. 10 19 100 b. Write each percent as a decimal. ____ 14. 64.9% a. 0.649 b. 6.49 4 ____ 15. 58 5 % a. b. 0.58 58.8 Write each decimal as a percent. Replace each • with <, >, or = to make a true sentence. ____ 18. ____ 19. 1 25 • 0.06 a. b. = > 1 10 • 9% a. b. < = c. < c. > 4 Name: ________________________ ____ 20. 0.8 • 8% a. = b. < ID: A c. > Order each set of numbers from least to greatest. ____ 21. 7 50 , 0.5, 0.07 a. 0.07, b. 7 50 c. 0.5, 7 50 d. 0.5, 0.07, 33 50 c. 33 50 , 0.32, 0.31 , 0.32 d. 33 50 , 0.31, 0.32 0.07, 0.5, ____ 22. 0.32, 33 50 7 50 , 0.5 , 0.07 , 0.31 a. 0.31, 0.32, b. 0.31, 33 50 Find the sum or difference. Write the answer in simplest form. ____ 23. ____ 24. 9 3 + 10 5 1 a. 2 10 7 b. 10 c. 3 5 d. 1 c. 3 15 d. 6 56 c. 2 1 2 378 + 227 a. 47 56 b. 6 56 7 50 13 1 3 −1 5 10 9 a. 1 10 1 b. 2 10 2 9 ____ 25. 3 d. 5 1 5 2 1 10 Name: ________________________ ____ 26. ID: A 5−2 7 5 3 2 3 35 a. b. 11 35 3 7 c. d. Find the product. Write the answer in simplest form. ____ 27. 2 1 11 ⋅ 6 a. 1 11 1 c. 1 33 b. 3 17 d. 2 11 1 5 ____ 28. 1 3 ⋅ 1 8 11 1 a. 2 12 c. 26 b. 5 24 d. 1 24 5 Find the quotient. Write the answer in simplest form. ____ 29. 4 7 ÷ 6 7 a. 24 49 c. 5 7 b. 2 3 d. 4 1 1 ____ 30. 2 5 ÷ 5 6 a. 3 11 9 c. 4 5 b. 66 155 d. 11 30 2 11 2 ____ 31. What is the area of a rectangle measuring 3 m by 5 m? a. 1 2 b. 1 15 m2 1 m2 c. 1 3 m2 1 d. 4 15 m2 ____ 32. Bananas cost $2.00 per pound. How much will it cost to buy a. b. $1.40 $1.09 c. d. 6 $1.60 $1.99 4 5 of a pound of bananas? Name: ________________________ ID: A 1 ____ 33. Three friends went together to pick apples. They picked a total of 5 2 bushels of apples. If each person took home 1 3 of the apples, how many bushels did each person get? 1 c. 1 5 bushels 5 d. 1 3 bushels a. 1 6 bushels b. 1 6 bushels ____ 34. If it takes 1 8 ____ 35. On Tuesday, Joe walks 1 c. d. b. 2 16 32 1 3 mile to school. After school he walks mile to his friend’s house. Then he walks 2 4 1 1 miles home. How far did he walk on Tuesday? 3 2 miles 1 pound of crabmeat to make 2 crab cakes, how many crab cakes can be made from 2 4 pounds of crabmeat? a. 18 b. 36 a. 3 c. 7 miles 12 d. ____ 36. Mike bought 20 yards of kite string. He gave 4 does he have left? 1 a. 14 yards 6 11 b. 10 yards 12 5 2 miles 6 1 3 miles 4 1 1 yards to Bill and 1 yards to Macy. How much kite string 2 3 c. d. 1 12 yards 6 1 13 yards 4 1 ____ 37. If each person at the table drinks 1 2 cups of coffee, how many people can be served from a 12 cup pot? a. b. 12 9 c. d. 8 6 3 ____ 38. To make one decorative pillow, 10 4 inches of ribbon is required. How many pillows can be made from a 1 6 yards of ribbon? (hint: there are 36 inches in one yard) 2 a. 20 c. 22 b. 21 d. 23 7 Name: ________________________ ID: A 1 ____ 39. How many 9 inch long blocks of wood can be cut from a board that is 7 2 feet long? a. 58 5 c. 10 b. 92 1 d. 12 ____ 40. Order each set of decimals from least to greatest. 8, 8.6, 8.25, 7.807 a. 8.6, 8, 8.25, 7.807 c. b. 8.6, 8.25, 8, 7.807 d. 7.807, 8.25, 8, 8.6 7.807, 8, 8.25, 8.6 ____ 41. Order each set of decimals from greatest to least. 17.855, 18.255, 17.915, 18.601 a. 17.855, 17.915, 18.255, 18.601 c. b. 18.601, 17.915, 18.255, 17.855 d. 18.601, 18.255, 17.915, 17.855 17.855, 18.255, 17.915, 18.601 ____ 42. Add. 6.47 + 5.1 a. 10.57 b. 11 c. d. 11.57 11.6 c. d. 12.22 24.12 c. d. 138.6 13.86 c. d. 4.31 4.21 ____ 43. Subtract. 18.9 −5.72 a. b. 13.22 13.18 Multiply. ____ 44. 7.7 × 1.8 a. 1.386 b. 14.86 Divide. ____ 45. 0.36 1.5156 a. b. 4.22 0.421 8 Name: ________________________ ID: A ____ 46. Samuel earns $3.75 per hour. How many hours did he work to earn $30.75? a. 5.5 hours c. 6.8 hours b. 8.2 hours d. 7.4 hours ____ 47. Candy Brand Kit Kat Bars Reese’s Cups Twix Bars Price per pound $3.50 $4.10 $2.75 Kim goes to a candy store and buys her candy for Halloween. She buys 3 pounds of Twix bars, 1 pound of Reese’s Cups and 2.5 pounds of Kit Kat bars. How much money does she need for this purchase? a. b. $20.25 $21.10 c. d. $22.50 $25.00 ____ 48. Kim gives the clert $40.00. How much change does she get back? a. b. $15.00 $21.05 c. d. $17.50 $18.90 ____ 49. Sportsmania is having a clearance sale this week. The original price and clearance price were listed on each item. Item Original Price Clearance Price Batting Glove $9.95 $6 Football $18.49 $12 Basketball Hoop $129.12 $85 If Jasmine bought all three items during the clearance sale, how much did she spend? a. $100 c. $106 b. $103 d. $108 ____ 50. Damon purchased all three items before the clearance sale and paid the original price. How much did Damon spend? a. b. $135.56 $140.85 c. d. $156.57 $157.56 ____ 51. What is the difference between the total that Jasmine paid and the total that Damon paid? a. b. $65.29 $54.56 c. d. 9 $45.66 $32.59 ID: A Math 6/7 Fraction/Decimal/Percent Study Guide Answer Section MULTIPLE CHOICE 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. 21. 22. 23. 24. 25. 26. 27. 28. 29. 30. 31. 32. 33. 34. 35. 36. 37. 38. 39. ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: B D A A A A C A B A B D B A D C C C C C A A D D A C C C B B D C B B B A C B C STA: 7.1 STA: 7.1 STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: 7.1 7.1 7.1 7.1 7.1 7.1 7.1 7.1 7.1 7.1 7.1 7.1 7.1 7.1 7.1 7.1 7.1 VA 8.1a VA 8.1a VA 8.1a VA 8.1a VA 8.1a VA 8.1a VA 8.1a VA 8.1a VA 8.17 VA 8.17 VA 8.17 VA 8.17 VA 8.17 VA 8.17 VA 8.17 VA 8.17 VA 8.17 1 ID: A 40. 41. 42. 43. 44. 45. 46. 47. 48. 49. 50. 51. ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: D C C B D D B B D B D B STA: STA: STA: STA: STA: STA: STA: STA: STA: 6.2 6.2 6.8 6.8 6.6b 6.6b VA 8.17 VA 8.17 VA 8.17 2
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