6th Grade Advanced Topic II Assessment

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1. The table shows the number of sport cards of each kind in Monique s collection. Monique s Sport Card Collection Kind of Card Baseball Basketball Football Hockey Total Number of Cards 36 28 20 16 100 She wants to put all 100 cards into equal stacks, with each stack having cards of only one kind. What is the greatest possible number of cards Monique could put in each stack? A. 2 B. 4 C. 9 D. 10 MAFS.6.NS.2.4 2. What is the least common multiple of 6 and 12? A. 6 B. 12 C. 18 D. 72 MAFS.6.NS.2.4 3. Alicia is thinking of a number for her friends to guess. She tells them the number is the least common multiple of 4 and 6. Which number is Alicia thinking of? A. 2 B. 12 C. 24 D. 36 MAFS.6.NS.2.4 Page 1

4. Which expression is equivalent to 20 + 64? A. 4+(16+60) B. 4+(5+16) C. 4(16+60) D. 4(5+16) MAFS.6.NS.2.4 5. An equation is shown. 48 + 18 = (8 + 3) What factor is missing from the equation? A. 4 B. 6 C. 15 D. 40 MAFS.6.NS.2.4 6. Steve has 35 baseball cards and 28 basketball cards in his sports card collection. What is the ratio of baseball cards to basketball cards? A. 4:7 B. 4:5 C. 5:4 D. 7:4 MAFS.6.RP.1.1 Page 2

7. The table shows the number of each type of problem on a math test. Math Test Type of Problem Number on Test Geometry 10 Measurement 15 Patterns 9 Number Operations 16 What is the ratio of the number of measurement problems to the total number of problems on the test? A. 3:7 B. 3:10 C. 7:3 D. 10:3 MAFS.6.RP.1.1 8. Ian went away for 6 days to space camp. His parents received 12 e-mails from him while he was away. What is the rate of Ian's e-mails for each day at space camp? A. 1:2 B. 2:1 C. 6:2 D. 12:1 MAFS.6.RP.1.2 Page 3

9. During the month of March, it rained on 11 days for a total of 6 inches. Which fraction best represents the average rate of rainfall per rainy day? A. inch per day B. inch per day C. inches per day D. inches per day MAFS.6.RP.1.2 10. Alan makes a fruit salad using strawberries and blueberries. He uses 5 cups of strawberries for every 3 cups of blueberries. Which measure represents the amount of strawberries Alan uses for every 1 cup of fruit salad? A. cup B. cup C. cup D. cup MAFS.6.RP.1.2 Page 4

11. The table below shows the number of miles Tony ran and the calories he burned per mile. Calories Burned Per Mile Miles Calories 1 40 2 80 3 120 4? Which number completes the table? A. 160 B. 180 C. 200 D. 240 MAFS.6.RP.1.3a Page 5

12. This table shows the amount of time a student watches television each week. Television Watching Week Hours 1 3 2 6 3 9 If this student continues to watch the same amount of television, how many hours will he or she have watched in week 5? A. 10 B. 12 C. 15 D. 18 MAFS.6.RP.1.3a 13. Carla does 25 jumping jacks 3 times per day. How many jumping jacks will Carla do in 7 days? A. 75 B. 175 C. 375 D. 525 MAFS.6.RP.1.3b Page 6

14. Nick is on his school's track team. He can run 2 miles in 16 minutes. At this rate, how many minutes would it take Nick to run 6 miles? A. 8 B. 32 C. 48 D. 96 MAFS.6.RP.1.3b 15. The Taylors bought a 3-liter soda for a party. What amount is about the same as 3 liters? A. 3 gallons B. 3 quarts C. 3 pints D. 3 cups MAFS.6.RP.1.3d 16. A person can read 24 pages of a book in of an hour. What is the person s reading rate in pages per hour? A. 8 B. 12 C. 48 D. 72 MAFS.7.RP.1.1 Page 7

17. During a bake sale, 1 dozen cookies were sold in hour. What is the unit rate for the dozens of cookies sold per hour? A. B. C. D. MAFS.7.RP.1.1 18. Which situation best represents a proportional relationship? A. A 20 x 24-inch photo is reprinted into a 5 x 6-inch photo. B. A turtle traveled 1 meter in 1 hour and 2 meters in 2.5 hours. C. Two pencils are sold for $1. Ten of the same pencils are sold for $6. D. One apple had 6 seeds, two apples had 8 seeds altogether, and 3 apples had 10 seeds altogether. MAFS.7.RP.1.2a Page 8

19. The table below shows the relationship between the number of dog years for small breed dogs and the number of human years. Is the relationship between dog years and human years a proportional relationship? A. Yes, because both lists increase in value. B. No, because 15:1 is not the same ratio as 24:4. C. No, because the human years are multiples of 4. D. Yes, because the dog years increase constantly by 4. MAFS.7.RP.1.2a Page 9

20. Judy calculated what she and several of her friends would weigh on the Moon. She recorded both their Earth and Moon weights in the table below. How would Judy determine the constant of proportionality given that y=kx, where x represents a person s weight on Earth, y represents a person s weight on the Moon, and k is the constant of proportionality? A. Determine the change in Moon weights anywhere in the table B. Take the ratio of Earth weight to Moon weight for any column in the table C. Take the ratio of Moon weight to Earth weight for any column in the table D. Determine the ratio of change in Earth weights to Moon weights anywhere in the table MAFS.7.RP.1.2b Page 10

21. Kristy has a candy business. She makes a profit of $1.50 for every candy bar she sells. Which of the following represents the rate of change of her profit with respect to the number of candy bars she sells? A. B. C. D. MAFS.7.RP.1.2b 22. The sale price, s, of an item is 20% off the regular price, r. Which equation below expresses this relationship? A. s = r -20 B. s = 0.2r C. 0.8s = r D. s = 0.8r MAFS.7.RP.1.2c Page 11

23. The cost of one movie ticket for an adult is 1.6 times the cost of a ticket for a child. If a equals the cost of one adult ticket and c equals the cost of one child ticket, which equation represents the relationship between a and c? A. a = 1.6c B. c = 1.6a C. 1.6 = a + c D. 1.6 = a c MAFS.7.RP.1.2c Page 12

24. The graph shows that rate is proportional to time. Point W represents a rate of 0.8 pound of potato chips made in 1 minute. What does Point Y represent? A. a rate of 3 pounds of potato chips made in 2.4 minutes B. a rate of 2.4 pounds of potato chips made in 3 minutes C. a rate of 2 pounds of potato chips made in 3 minutes D. a rate of pound of potato chips made in 2.4 minutes MAFS.7.RP.1.2d Page 13

25. Point M represents 3 miles per hour in the graph shown. What does Point N represent? A. a distance of 3 miles per 9 hours B. a distance of 9 miles per 3 hours C. a distance of mile in 3 hours D. a distance of mile in 9 hours MAFS.7.RP.1.2d Page 14

26. The price of ceramic tile at a discount tile store is represented on the graph below. What is the meaning and value of r at Point C? A. r represents the unit cost of ceramic tile, $0.80/1 ft² B. r represents the unit cost of ceramic tile, $1.25/1 ft² C. r represents the rate of increase of tile area per dollar, 0.80 ft²/$1. D. r represents the rate of increase of tile area per dollar, 1.25 ft²/$1. MAFS.7.RP.1.2d Page 15