Name: Class: Date: Unit 1-4 review for District Assessement Indicate the answer choice that best completes the statement or answers the question. Divide. Write your answer in simplest form. 1. a. b. c. 1 d. 0 ANIMALS Refer to the table on lengths of some animals with long tails. Determine if the pair of animals has the same ratio of body length to tail length. Choose the correct explanation. 2. brown rat and opossum a. Yes; the ratios form equivalent fractions. b. No; the ratios do not form equivalent fractions. Divide. Write your answer in simplest form. 3. a. b. c. d. 4. CELL PHONE Tiffany pays $40 for 160 minutes of talk time on her cell phone. How many minutes of talk time does she get per dollar? a. 2 minutes b. 3 minutes c. 4 minutes d. 6 minutes Powered by Cognero Page 1 Name: Class: Date: Unit 1-4 review for District Assessement Multiply. Write in simplest form. 5. a. b. c. d. 6. DISTANCE If 10 miles is about 16 kilometers and the distance between two towns is 45 miles, use a ratio table to find the distance between the towns in kilometers. Explain your reasoning. a. 64 km; If 10 mi is about 16 km, 80 mi is about 128 b. 68 km; If 10 mi is about 16 km, 90 mi is about 136 km. Since 40 mi is half of 80 mi, or 80 2, the km. Since 45 mi is half of 90 mi, or 90 2, the distance in km must also be half, or 128 2. distance in km must also be half, or 136 2. c. 72 km; If 10 mi is about 16 km, 90 mi is about 144 d. 84 km; If 10 mi is about 16 km, 90 mi is about 168 km. Since 45 mi is half of 90 mi, or 90 2, the km. Since 45 mi is half of 90 mi, or 90 2, the distance in km must also be half, or 144 2. distance in km must also be half, or 168 2. Multiply. Write in simplest form. 7. a. b. c. d. 8. LAND A field has an area of a. c. mi mi Powered by Cognero b. d. square mile. Find the width of the field if the length is mile long. mi mi Page 2 Name: Class: Date: Unit 1-4 review for District Assessement Use the ratio table given to solve the problem. 9. BOOKS A book store bought 160 copies of a book from the publisher for $4,000. If the store gives away 2 books, how much money will it lose? a. $100 c. $25 b. $50 d. $20 Write the rate as a unit rate. 10. $46 for 5 toys a. b. c. d. Divide. Answer in simplest form. 11. a. 20 c. 40 b. 16 d. 32 Multiply. Write in simplest form. 12. a. b. c. d. 13. LAUNDRY A basket of laundry is being separated. Divide 48 pieces of clothing into 2 groups so the ratio is 1 to 3. a. 15 pieces in the first group and 45 pieces in the b. 10 pieces in the first group and 38 pieces in the second group. second group. c. 16 pieces in the first group and 32 pieces in the d. 12 pieces in the first group and 36 pieces in the second group. second group. Powered by Cognero Page 3 Name: Class: Date: Unit 1-4 review for District Assessement Multiply. Write in simplest form. 14. a. 6 c. b. or d. Multiply. Write in simplest form. 15. a. b. c. d. 16. a. 5 b. 12 c. d. Multiply. Write in simplest form. 17. a. b. c. d. 18. TRUCKING A truck driver drove 300 miles in a. 50 mph b. mph c. d. mph mph Powered by Cognero hours. How many miles per hour did the driver drive? Page 4 Name: Class: Date: Unit 1-4 review for District Assessement Divide. Answer in simplest form. 19. a. 6 b. 12 c. 3 d. 20. BREAKFAST Franco is making breakfast. He uses 36 eggs for 12 orders. How many eggs does he use per order? a. 6 eggs b. 5 eggs c. 4 eggs d. 3 eggs 21. FOOD At the potluck, there were 6 pecan pies, 7 lemon pies, 13 cherry pies, and 8 apple pies. Find the ratio of apple pies to the total number of pies. Write each ratio in simplest form. Then explain its meaning. a. 3 to 17, or 3:17; This means 3 out of every 17 b. pies were apple pies. c. 5 to 17, or 5:17; This means 5 out of every 17 pies were apple pies. 4 to 17, or 4:17; This means 4 out of every 17 pies were apple pies. d. 8 to 35, or 8:35; This means 8 out of every 35 pies were apple pies. Divide. Answer in simplest form. 22. a. b. c. d. 23. a. 1 b. 5 c. 10 d. 24. HAMBURGERS Mrs. Farley made 72 ounces of hamburger into 24 meat patties. How many ounces of hamburger are in each meat patty? a. 2 ounces b. 3 ounces c. 4 ounces d. 6 ounces Powered by Cognero Page 5 Name: Class: Date: Unit 1-4 review for District Assessement Divide. Write your answer in simplest form. 25. a. b. c. 18 d. 26. a. b. c. d. Divide. Answer in simplest form. 27. a. b. 24 c. 8 d. Multiply. Write in simplest form. 28. a. b. c. d. Divide. Write the answer in simplest form. 29. a. b. c. d. Powered by Cognero Page 6 Name: Class: Date: Unit 1-4 review for District Assessement Multiply. Write in simplest form. 30. a. b. c. d. Divide. Write your answer in simplest form. 31. a. b. c. d. Multiply. Write in simplest form. 32. a. b. c. d. Divide. Write your answer in simplest form. 33. a. 6 b. c. d. Divide. Answer in simplest form. 34. a. 8 c. 16 b. 12 d. 24 Powered by Cognero Page 7 Name: Class: Date: Unit 1-4 review for District Assessement 35. WIRE Carmen cuts a 60-inch-long wire into pieces that are a. 45 pieces c. 75 pieces inch long. How many pieces does she have? b. 60 pieces d. 80 pieces Solve. 36. BIRDS The ruby-throated hummingbird has a wing beat of about 200 beats per second. About how many wing beats would a hummingbird have in 3 minutes? a. about 28,000 wing beats b. about 32,000 wing beats c. about 36,000 wing beats d. about 38,000 wing beats 37. SALARY Luz earns $400 for 40 hours of work. Use a ratio table to determine how much she earns for 6 hours of work. a. $60 b. $80 c. $100 d. $120 38. BAKERY Rolls are being prepared to go to grocery stores. Divide 72 rolls into 2 groups so the ratio is 3 to 5. a. 27 rolls in the first group and 45 in the second b. 25 rolls in the first group and 47 in the second group. group. c. 27 rolls in the first group and 47 in the second d. 30 rolls in the first group and 42 in the second group. group. Divide. Write the answer in simplest form. 39. a. b. c. 4 d. Solve. 40. MAMMALS A pronghorn antelope can travel 105 miles in 3 hours. If it continued traveling at the same speed, how far could a pronghorn travel in 11 hours? a. 315 mi b. 385 mi c. 420 mi d. 435 mi Powered by Cognero Page 8 Name: Class: Date: Unit 1-4 review for District Assessement Find the reciprocal of the number. 41. a. 2 b. c. 4 d. Divide. Write your answer in simplest form. 42. a. b. c. d. 43. a. b. c. d. Multiply. Write in simplest form. 44. a. b. c. d. 45. CLASSES A school has 825 students and 55 teachers. How many students are there per teacher? a. 10 students b. 15 students c. 20 students d. 25 students Powered by Cognero Page 9 Name: Class: Date: Unit 1-4 review for District Assessement Write the rate as a unit rate. 46. 3 inches of rain in 6 hours a. b. c. d. Powered by Cognero Page 10 Name: Class: Date: Unit 1-4 review for District Assessement RECIPES Use the following information. A soup that serves 16 people calls for 2 cans of chopped clams, 4 cups of chicken broth, 6 cups of milk, and 4 cups of cubed potatoes. 47. Which ratio table to represents this situation? a. b. c. d. Powered by Cognero Page 11 Name: Class: Date: Unit 1-4 review for District Assessement Multiply. Write in simplest form. 48. a. b. c. 3 d. 49. PARTY For a party, 20 sandwiches are being made. If each sandwich is cut into thirds, how many sandwich pieces are there? a. sandwich pieces c. 60 sandwich pieces b. 40 sandwich pieces d. 120 sandwich pieces Multiply. Write in simplest form. 50. a. b. 2 c. d. Multiply. Write in simplest form. 51. a. 24 c. 3 b. 4 d. 6 a. b. c. d. 52. Powered by Cognero Page 12 Name: Class: Date: Unit 1-4 review for District Assessement Divide. Write your answer in simplest form. 53. a. b. 10 c. d. Divide. Answer in simplest form. 54. a. b. c. d. Divide. Write your answer in simplest form. 55. a. b. c. d. Use the ratio table given to solve the problem. 56. CAMPING To disinfect 1 quart of stream water to make it drinkable, you need to add 2 tablets of iodine. How many tablets do you need to disinfect 4 quarts? a. 4 tablets c. 8 tablets Powered by Cognero b. 6 tablets d. 10 tablets Page 13 Name: Class: Date: Unit 1-4 review for District Assessement Multiply. Write in simplest form. 57. a. b. c. d. 58. a. or b. c. d. 59. a. b. c. d. Find the reciprocal of the number. 60. a. b. c. 3 d. Divide. Write the answer in simplest form. 61. a. 8 b. 6 c. d. Powered by Cognero Page 14 Name: Class: Date: Unit 1-4 review for District Assessement Use the ratio table given to solve the problem. 62. BIRDS An ostrich can run at a rate of 50 miles in 60 minutes. At this rate, how long would it take an ostrich to run 15 miles? a. 12 min c. 18 min b. 15 min d. 21 min Multiply. Write in simplest form. 63. a. b. c. d. Solve. 64. MEAT Hamburger sells for 3 pounds for $6. If Samantha buys 10 pounds of hamburger, how much will she pay? a. $10 b. $13 c. $15 d. $20 Multiply. Write in simplest form. 65. a. b. c. d. Powered by Cognero Page 15 Name: Class: Date: Unit 1-4 review for District Assessement Multiply. Write in simplest form. 66. a. b. c. d. Divide. Answer in simplest form. 67. a. 18 b. c. 12 d. Determine if the pair of ratios or rates is equivalent. Show how you got your answer. 68. 20 out of 45 students attended the concert; 12 out of 25 students attended the concert a. No; and are not equivalent. b. Yes; and are equivalent. 69. SCHEDULES A bus makes 28 stops every 2 hours. How many stops does it make in 3 hours? in 4 hours? a. 28 stops; 42 stops c. 36 stops; 48 stops b. 42 stops; 56 stops d. 48 stops; 64 stops Divide. Answer in simplest form. 70. a. b. c. d. Powered by Cognero Page 16 Name: Class: Date: Unit 1-4 review for District Assessement RECIPES Use the following information. A soup that serves 16 people calls for 2 cans of chopped clams, 4 cups of chicken broth, 6 cups of milk, and 4 cups of cubed potatoes. 71. How much of each ingredient would you need to make an identical recipe that serves 24 people? Explain your reasoning. a. 1 can clams, 2 cups broth, 3 cups milk, 2 cups b. 3 cans clams, 6 cups broth, 9 cups milk, 6 cups potatoes; Since 24 is 2 times 12, multiply the potatoes; Since 24 is three times 8, multiply the ingredients for 12 servings by two. ingredients for 8 servings by three. c. 1 can clams, 2 cups broth, 3 cups milk, 2 cups d. 6 cans clams, 12 cups broth, 18 cups milk, 12 cups potatoes; Since 24 is 4 times 6, multiply the potatoes; Since 24 is three times 8, multiply the ingredients for 6 servings by 4. ingredients for 8 servings by three. Multiply. Write in simplest form. 72. a. 1 b. c. d. Find the reciprocal of the number. 73. a. b. c. 9 d. Powered by Cognero Page 17 Name: Class: Date: Unit 1-4 review for District Assessement ANALYZE TABLES Refer to the table showing tide pool animals. Write the ratio in simplest form. 74. Find the ratio of snails to the total number of animals. Then explain its meaning. a. ; 9 to 26, or 9:26; This means that 9 out of 26 b. animals are snails. c. ; 9 to 22, or 9:22; This means that 9 out of 22 animals are snails. ; 18 to 53, or 18:53; This means that 18 out of 53 animals are snails. d. ; 9 to 28, or 9:28; This means that 9 out of 28 animals are snails. Divide. Answer in simplest form. 75. a. b. 20 c. 40 d. 400 Divide. Write your answer in simplest form. 76. a. b. 2 c. d. 14 Powered by Cognero Page 18 Name: Class: Date: Unit 1-4 review for District Assessement Multiply. Write in simplest form. 77. a. b. c. d. 78. MODEL TRAINS Hiroshi has 4 engines and 18 box cars. Find the ratio of engines to box cars. Write the ratio as a fraction in simplest form. Then explain its meaning. a. ; This means for every 1 engine, there are 9 box cars. c. b. ; This means for every 2 engines, there are 9 box cars. ; This means for every 1 engine, there are 3 box cars. d. ; This means for every 1 engine, there are 4 box cars. Divide. Write the answer in simplest form. 79. a. b. c. d. 80. PICNICKING An average ant is blanket? a. 576 ants c. 18 ants Powered by Cognero inch long. A picnic blanket is 72 inches long. How many ants long is the picnic b. 288 ants d. 144 ants Page 19 Name: Class: Date: Unit 1-4 review for District Assessement ANIMALS Refer to the table on lengths of some animals with long tails. Determine if the pair of animals has the same ratio of body length to tail length. Choose the correct explanation. 81. hamster and lemming a. Yes; the ratios have the same unit rate, b. No; the ratios do not have the same unit rate, Multiply. Write in simplest form. 82. a. b. c. d. Powered by Cognero Page 20 Name: Class: Date: Unit 1-4 review for District Assessement Use the table to answer the question. The table shows the vehicles that passed Luann on the highway. 83. At this rate, how many minivans would pass Luann if 60 vehicles passed her? a. 18 b. 20 c. 24 d. 32 84. SPORTS Of the sixth graders in a school, play at least one sport. Of those, play on a team. What fraction of the sixth graders play a sport on a team? a. b. c. d. Powered by Cognero Page 21 Name: Class: Date: Unit 1-4 review for District Assessement ANIMALS Refer to the table on lengths of some animals with long tails. Determine if the pair of animals has the same ratio of body length to tail length. Choose the correct explanation. 85. opossum and prairie dog a. Yes; the ratio for the opossum is equivalent to the ratio for the prarie dog. b. No; the ratio for the opossum is , but the ratio for the prairie dog is . These are not equivalent fractions. Refer to the table showing the statistics of women’s baseball teams. 86. Which team has the best record? Explain how you know. a. Jules’ Rules; For every three games that they played, they only lost 1. c. Pink Sox; For every four games that they played, they only lost 1. Powered by Cognero b. High-5s; For every nine games that they played, they only lost 1. d. Go-Girls; For every ten games that they played, they only lost 1. Page 22 Name: Class: Date: Unit 1-4 review for District Assessement 87. For each team, find the unit rate games per loss. a. Jules’ Rules: ; Pink Sox: Go-Girls: ; High-5s: b. Jules’ Rules: ; Pink Sox: Go-Girls: ; High-5s: c. Jules’ Rules: ; Pink Sox: Go-Girls: ; High-5s: d. Jules’ Rules: ; Pink Sox: Go-Girls: ; High-5s: Multiply. Write in simplest form. 88. a. b. c. d. Divide. Answer in simplest form. 89. a. b. c. d. Determine if the pair of ratios or rates is equivalent. Show how you got your answer. 90. 18 vocabulary words learned in 2 hours; 27 vocabulary words learned in 3 hours a. Yes; the ratios share the same unit rate. b. No; the ratios do not share the same unit rate. Powered by Cognero Page 23 Name: Class: Date: Unit 1-4 review for District Assessement ANALYZE TABLES Refer to the table showing tide pool animals. Write the ratio in simplest form. 91. Find the ratio of limpets to snails. Then explain its meaning. a. 9 to 7, or 9:7; This means there are 9 limpets for b. every 7 snails. c. 3 to 5, or 3:5; This means there are 3 limpets for every 5 snails. 1 to 3, or 1:3; This means there are 1 limpets for d. every 3 snails. 7 to 9, or 7:9; This means there are 7 limpets for every 9 snails. 92. INSECTS An average ant is inch long. An average aphid is inch long. How many times longer is an average ant than an average aphid? a. c. times longer times longer b. times longer d. times longer 93. LUMBER A lumber yard has a scrap sheet of plywood that is inches by inches. What is the area of the plywood? a. c. in in Powered by Cognero b. in d. in Page 24 Name: Class: Date: Unit 1-4 review for District Assessement 94. LANDSCAPING A planter box in the city plaza measures feet by feet by feet. Find the volume of the planter box. a. c. ft b. ft d. ft ft Find the reciprocal of the number. 95. a. 2 b. c. d. Divide. Write the answer in simplest form. 96. a. b. c. d. Powered by Cognero Page 25 Name: Class: Date: Unit 1-4 review for District Assessement Use the table to answer the question. The table shows the vehicles that passed Luann on the highway. 97. Luann predicted that if a certain number of vehicles passed her by, 42 of them would be SUVs. What was that certain number of vehicles she had in mind? a. 90 b. 125 c. 135 d. 145 RECIPES Use the following information. A soup that serves 16 people calls for 2 cans of chopped clams, 4 cups of chicken broth, 6 cups of milk, and 4 cups of cubed potatoes. 98. How much of each ingredient would you need to make an identical recipe that serves 8 people? 32 people? a. 2 can clams, 4 cups broth, 6 cups milk, 4 cups b. 1 can clams, 2 cups broth, 3 cups milk, 2 cups potatoes; potatoes; 4 cans clams, 8 cups broth, 12 cups milk, 8 cups 4 cans clams, 8 cups broth, 12 cups milk, 8 cups potatoes potatoes c. 1 can clams, 2 cups broth, 3 cups milk, 2 cups d. 2 can clams, 4 cups broth, 6 cups milk, 4 cups potatoes; potatoes; 8 cans clams, 16 cups broth, 24 cups milk, 16 cups 8 cans clams, 16 cups broth, 24 cups milk, 16 cups potatoes potatoes Multiply. Write in simplest form. 99. a. b. c. d. Powered by Cognero Page 26 Name: Class: Date: Unit 1-4 review for District Assessement Answer Key 1. c 2. a 3. b 4. c 5. b 6. c 7. c 8. a 9. b 10. c 11. a 12. d 13. d 14. b 15. c 16. b 17. a 18. d 19. b 20. d 21. b 22. a 23. b 24. b 25. d 26. a Powered by Cognero Page 27 Name: Class: Date: Unit 1-4 review for District Assessement 27. a 28. c 29. c 30. c 31. d 32. c 33. c 34. b 35. d 36. c 37. a 38. a 39. d 40. b 41. a 42. c 43. c 44. b 45. b 46. a 47. d 48. c 49. c 50. a 51. d 52. c 53. d 54. d Powered by Cognero Page 28 Name: Class: Date: Unit 1-4 review for District Assessement 55. d 56. c 57. d 58. b 59. c 60. b 61. a 62. c 63. c 64. d 65. a 66. c 67. a 68. a 69. b 70. a 71. b 72. b 73. c 74. a 75. c 76. b 77. a 78. b 79. b 80. b 81. a 82. a Powered by Cognero Page 29 Name: Class: Date: Unit 1-4 review for District Assessement 83. b 84. b 85. b 86. b 87. a 88. b 89. c 90. a 91. d 92. a 93. b 94. c 95. d 96. b 97. c 98. b 99. d Powered by Cognero Page 30