Math 6/Unit 7 Practice Test: Proportional Relationships Name: Date: 1. Define each of the following terms: a. ratio and give an example. b. unit rate and give an example. c. proportion and give an example. d. a discount. 2. (CRT) Write the ratio of circles to total figures for the graphic given. Simplify if necessary. 3. Over an 8 day period, a local fire station raised $40,000. Write a simplified ratio and explain the meaning of the rate in this event. 4. A hummingbird flies an average of 25 miles in 60 minutes. Write a ratio of miles to minutes and name 3 more equivalent ratios. 5. Which ratio is NOT equivalent to 4 12? A. 8 24 B. 12 48 C. D. 1 3 2 6 Math 6 Practice Test Unit 7: Proportional Relationships Page 1 of 5
6. (CRT) Figure 1 shows a ratio of shaded to unshaded boxes. Figure 1 Which diagram below shows the same ratio of shaded to unshaded boxes? A. C. B. D. 7. On a bicycle you can travel 20 miles in 5 hours. Draw models to show both unit rates in this situation. 8. If a person walks 1 mile in each 1 hour, find the unit rates using a double number line 2 6 diagram. 9. Anna s recipe for a fruit punch calls for 3 cups of cranberry juice to 2 cups of lemon-lime soda. Use the table below to show how many cups of lemon-lime soda will be needed to mix with 24 cups of cranberry juice? # of cups of cranberry juice # of cups of lemon-lime soda 3 24 2 For problems 10 12, find the missing value in each proportion. 4 n 2 x 10. = 11. = 12. 5 25 4 10 6 12 x = 14 Math 6 Practice Test Unit 7: Proportional Relationships Page 2 of 5
13. Is 4 = 6 a proportion? Explain how you know. 5 7 14. a. Write 5% as a fraction in simplest form and as a decimal. Fraction Decimal b. Write 14 25 as a decimal and as a percent. Decimal Percent 15. Draw a percent bar model to solve the following: 25% of what is 8? 16. 40% of what is 80? 17. (CRT) A survey was sent to 300 people to determine their favorite TV news show. The results of the survey are shown in the circle graph. Exactly how many of the people surveyed chose ABC as their favorite network? A. 35 people B. 45 people C. 75 people D. 105 people 18. There are 20 sports cars at Deals R Us. 45% are red. How many cars are red sports cars? Show your work. Math 6 Practice Test Unit 7: Proportional Relationships Page 3 of 5
19. Sandra needs 180 feet of purple ribbon to prepare party decorations. How many yards of ribbon is this? Use a proportion. Show your work. 20. (NAEP) Angela ate dinner with a group of friends. The restaurant would not give them separate checks, so each friend had to determine what she owed. Angela s meal cost $9.76. If sales tax is 8.1% and she wants to leave a 17% tip, estimate how much she should pay. Show your work. A. $10.80 B. $12.50 C. $15.00 D. $27.00 E. $35.00 21. (CRT) All the members of 19 scout troops are going on a field trip. There are exactly 26 members in each troop. The scouts will ride school buses 48 students can ride each bus to the field trip location. Which of the following is the best ESTIMATE of the percent of all the troop members going on the field trip who will be riding on each of the buses? A. 5% B. 10% C. 25% D. 40% 22. (OnCore) Golf balls come in a variety of packages. A particular brand of golf ball comes in a package of 3 golf balls and a package of 12 golf balls. The package with 3 golf balls costs $3.36, and the package with 12 golf balls costs $6.90. Which is the better deal? What is the unit price of the better deal? Show your work below. a. 3-ball pack at $0.28 per golf ball c. 12-ball pack at $0.58 per golf ball b. 12-ball pack at $1.12 per golf ball d. 3-ball pack at $0.58 per golf ball Math 6 Practice Test Unit 7: Proportional Relationships Page 4 of 5
23. (NAEP) One store, Price Pleasers, reduces the price each week of a $100 stereo by 10 percent of the original price. Another store, Bargains Plus, reduces the price each week of the same $100 stereo by 10 percent of the previous week's price. After 2 weeks, how will the prices at the two stores compare? A B C The price will be cheaper at Price Pleasers. The price will be the same at both stores. The price will be cheaper at Bargains Plus. Explain your reasoning. Long Term Memory Review 24. (CRT) An expression is shown below. 4n + 7 What is the value of the expression when n = 2? Show your work. A. 15 B. 36 C. 42 D. 49 25. (CRT) Order the numbers from least to greatest. 24%,.256, 1 4 Math 6 Practice Test Unit 7: Proportional Relationships Page 5 of 5