Chapter 6 M.C. Study Guide Write the ratio as a fraction in simplest form. ____ 1. 8 to 44 a. b. c. d. Find the unit rate. ____ 2. a. c. b. d. Write the equivalent rate. ____ 3. a. 15 b. 2.5 c. 1.65 d. 5940 ____ 4. Which is the best buy? a. $25.50 for 15 cartons of milk b. $13.36 for 8 cartons of milk c. $19.80 for 12 cartons of milk d. $8.30 for 5 cartons of milk ____ 5. Write the ratio of consonants to vowels in ONTARIO in lowest terms. a. 7:2 c. 3:4 b. 4:3 d. 2:7 Solve the proportion. ____ 6. a. b. c. d. ____ 7. a. b. c. d. 20 15 12 11 ____ 8. Two machines can complete 4 tasks every 3 days. Let t represent the number of tasks these machines can complete in a 31-day month. Give a proportion that represents this situation. a. b. c. d. ____ 9. A worker in an assembly line takes 3 hours to produce 22 parts. At that rate, how many parts can she produce in 15 hours? a. 8 parts b. 110 parts c. 330 parts d. 220 parts Solve the proportion. ____10. a. b. c. d. 0.02 20 0.2 200 ____11. If which of the following is true? a. b. c. d. Name the corresponding sides and the corresponding angles. ____12. FHE QSU a. corresponding sides: ; corresponding angles: b. corresponding sides: angles: c. corresponding sides: angles: d. corresponding sides: angles: ____13. If trapezoid a. b. and and ; corresponding ; corresponding ; corresponding is similar to trapezoid c. d. , which is a pair of corresponding sides? and and ____14. If two polygons are similar, then the corresponding sides must be _____. a. parallel c. similar b. proportional d. congruent ____15. Triangle ABC is similar to triangle DEF. Find the length of side not be drawn to scale.) a. 6 ft c. 7 ft (The figures may b. ____16. Given a. 39 cm b. 36 cm d. 4 ft find x. (The figures may not be drawn to scale.) c. 34 cm d. 35 cm ____17. The smaller box is 2 feet tall and casts a shadow 7 feet. The larger box is 4 feet tall. (The figures may not be drawn to scale.) How long is the shadow that the larger box casts? a. 2 ft c. 14 ft b. 49 ft d. 6 ft ____18. The extendable ramp shown below is used to move crates of fruit to loading docks of different heights. are similar. When the horizontal distance AB is 4 feet, the height of the loading dock, BC, is 2 feet. What is the height of the loading dock, DE? (Diagram not drawn to scale.) 2 ft 4 ft 4 ft a. 24 ft b. 8 ft c. 2 ft d. 4 ft The scale on a map is 1 centimeter : 5 kilometers. Use the given actual distance to find the distance on the map. ____19. 105 km a. 30 cm b. 21 cm c. 10.5 cm d. 525 cm Write the scale without units. ____20. 1 in. : 30 ft a. 1 : 360 b. 1 : 30 c. 1 : 36 d. 1 : 3000 ____21. A map of Australia has a scale of 1 cm : 135 km. If the distance between Darwin and Alice Springs is 1444 kilometers, how far apart are they on the map? Round your answer to the nearest tenth of a centimeter. a. 12.7 cm b. 1579.4 cm c. 127 cm d. 10.7 cm ____22. A jar contains 10 blue marbles, 4 red marbles, and 8 white marbles. What are the odds of drawing a blue marble from the bag? a. c. b. d. ____23. If you spin the spinner, what is the probability of landing on G? a. b. 1 8 1 2 c. 1 d. 1 4 ____24. A number cube with the numbers 1 through 6 is rolled. Find the probability of rolling the number 4. a. 1 c. b. d. ____25. If you select one of the 4 cards and roll the 6-sided number cube, how many possible outcomes are there? a. b. c. d. 9 24 10 18 Chapter 6 M.C. Study Guide Answer Section 1. 2. 4. 5. 6. 7. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. 21. 23. 24. 25. C B C C B D B C D B B B A B C D B A D D C B