NAME _____________________________________________ DATE ____________________________ PERIOD _____________ Pre-Test Ch 5- Ratios, Proportions, and Similar Figures (2B) Write the letter for the correct answer in the blank at the right of each question. Write the answer on the blank if it is not multiple choice. 1. Which fraction represents the ratio 6 cups to 4 quarts in simplest form? 1.___________________ 2. Which fraction represents the ratio 6 ounces to 3 cups in simplest form? F. 2 G. H. J. 2. __________________ 3. A train travels 423 miles every 9 hours. What is the unit rate of the train? 3. __________________ 4. Which price has the same unit rate as 3 cans for $1.98? F. 2 cans for $1.32 H. 6 cans for $4.00 G. 5 cans for $5.90 J. 4 cans for $3.60 4. __________________ 5. It costs $50 to rent a kayak for 4 hours. If the cost is proportional to the number of hours rented, which of the following is not an equivalent rate? A. $25 for 2 hours C. $60 for 5 hours B. $37.50 for 3 hours D. $75 for 6 hours 5. __________________ 6. Which set of numbers is proportional? 2 3 4 F. Classrooms 1 Students G. Teams Students 23 46 69 92 1 11 2 23 3 33 4 44 7. What value of y makes = H. J. Dogs Collars 2 2 Bands Flute Players 4 4 6 5 1 4 8 7 3 12 6. __________________ 5 18 7 20 a proportion? 7. __________________ 8. A soup recipe calls for 2 pounds of rice for 25 servings. How many pounds of rice are needed for 30 servings? Use a proportion. Show your work. Work: 8. __________________ 9. A store sells 5 bundles of firewood for $40. Which equation could be used to find the total cost c if a customer wants to buy 3 bundles of firewood? (Hint: use the unit rate.) A. c = 5 · 8 B. c = 3 · 8 C. c = 3 · 40 D. c = 5 · 1.4 9. __________________ 10. Felino used a scale of 1 inch = 2 feet to construct a scale model of his kitchen. The refrigerator in the model has a height of 3 inches. What is the actual height of the refrigerator? 10. _________________ NAME _____________________________________________ DATE ____________________________ PERIOD _____________ Pre-Test Ch 5- Ratios, Proportions, and Similar Figures (2B) (continued) 11. Suppose a model of the Queen Mary is 17 inches in length. The actual length of the Queen Mary is 1020 feet. What is the scale of the model? A. 1 ft = 60 inches B. 1 in. = 60 feet 11. _________________ C. 60 in. = 60 feet D. 60 in. = 1020 feet For Exercises 12 and 13, use similar triangles KLJ and NPM. 12.___________________ 12. What segment corresponds to ̅̅̅̅̅? 13. What angle is congruent to ∠M? 13. __________________ 14. The number of miles Miguel biked is proportional to the number of minutes he cycled. The graph shows the relationship (time, distance). Which of the following represents the constant of proportionality? F. H. 3 G. J. 15 14. __________________ 15. At the same time a 15-foot pole casts a 7.5-foot shadow, a nearby tree casts a 24-foot shadow. How tall is the tree? Use a proportion. Show your work! Work: 16. The cost of toilet tissue is $6 for 5 rolls, $12.00 for 10 rolls, and $21.60 for 18 rolls. Is this a proportional relationship? If the relationship is proportional, find the constant of proportionality. Show your work. Work: 15. __________________ 16. Proportional?______ If yes, the constant of proportionality: 16. __________________ 17. John painted 4 walls in 3 hours. At this rate, how long would it take John to paint 14 walls. Use a proportion. Show your work! Work: 17. __________________
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