Ratios and Rates Common Assessment (7 th grade)
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1 Name Score /38 pts. Multiple Choice: Circle the letter choice that best completes the statement or answers the question. (1 pt. each) 1. Gabby can assemble 7 music books in 4 minutes. At this rate, how many books can she assemble in 2 hours? a. 14 b. 105 c. 69 d Jasmine is building birdhouses. It takes her 3 1/2 hours to build 4 birdhouses. Which of the following is an equivalent rate? a. 14 hours to build 18 birdhouses b. 28 hours to build 35 birdhouses c. 7 hours to build 8 birdhouses d. 21 hours to build 28 birdhouses 3. Tim recorded that 27 out of 63 customers used a shopping cart at a grocery store. Based on these results, about how many customers out of 350 can be expected to use a shopping cart? a. 110 b. 260 c. 90 d The cars in a parade are passing Mike at a rate of 2 cars per minute. If it takes 18 minutes for all of the cars to pass Mike, which equation can he use to determine c, the number of cars in the parade? a. b. c. d. Page 1 of 6
2 5. Mrs. Jackson bought 8 pounds of potatoes for $ Which of the following represents the same price per pound? a. 10 pounds of potatoes for $ 4.70 b. 25 pounds of potatoes for $ c. 5 pounds of potatoes for $ 2.45 d. 20 pounds of potatoes for $ In July 2005 the United States imported approximately 10.3 million barrels of oil each day. Canada supplied about 16 % of the imported oil. Which of these is closest to the number of barrels of oil the United States imported from Canada each day? a. 5.7 million b. 1.6 million c. 2.1 million d. 0.2 million Short Answer: Answer each question below and show work that supports your thinking. 7. Use the relationship among ratios, fractions, decimals, and percents to complete the table. (6 pts.) Ratio Fraction Decimal Percent 1:4 20% 0.8 3/4 Page 2 of 6
3 8. There are 1.25 girls for every boy in Ms. Ryan s class. a. There are 10 girls in her class. How many boys are there? (1 pt.) b. How many students are in Ms. Ryan s class? (1 pt.) c. What is the ratio of girls to boys? (1 pt.) d. What is the ratio of girls to all students in Ms. Ryan s class? (1 pt.) e. What is the ratio of boys to all students in Ms. Ryan s class? (1 pt.) 9. An equilateral triangle has three equal length sides. 1 inch a. Write the ratio of the length of one side of the triangle to the perimeter of the triangle. (1 pt.) b. Will this ratio be the same for all other equilateral triangles? Explain. (2 pts.) c. Compute the length of one side of an equilateral triangle if it has a perimeter of 4.5 inches. (2 pts.) Page 3 of 6
4 10. A statue that is 6 feet tall casts a shadow that is 10 feet tall. Find the length of a shadow that is cast by a tree that is 24 feet tall. (2pts.) 11. The remains of a gigantic dinosaur were recently found in South America. A picture of the dinosaur is shown below. Scale Factor: 1 cm = 0.5 meter a. Suppose the dinosaur drawn above is 14 cm long. Using the scale factor from part a, how long would the dinosaur have been when it was alive? (2 pts.) b. Suppose a dinosaur was 25 meters long in real life, how long would the drawing of the dinosaur be? (2 pts.) 12. Two cities, Middletown and Columbus, are 12 cm apart on a map. The scale of the map is 4 cm : 21 km. Find the actual distance between the two cities. (2 pts.) Page 4 of 6
5 13. An 8-inch by 12-inch portrait is reduced to be pocket-size. If the short side is now 2 inches, how long is the other side? (2 pts.) 14. Ethan is finishing his work on a new flower bed. He wants to place a row of bricks along the front edge of the flower bed. The straight, front edge of the flower bed is 13 feet long. Six decorative bricks placed sideby-side, measure 1 foot in length. (a) How many bricks will he need along the front edge? (2 pts.) (b) Ethan also wants a row of roses just behind the new brick row. The roses must be placed 4 inches apart from each other. How many roses will he need? (2 pts.) Page 5 of 6
6 15. The scale drawing below shows a door. Scale: inch = 1 foot a. Use a ruler to measure the dimensions of the door to the nearest 1/2 inch. Write the measurements in the appropriate place on the drawing. (1 pt.) b. Use the scale factor shown next to the drawing, to calculate the dimensions of the actual door. (1 pt.). Page 6 of 6
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