Test – Ratios, Proportions and Rates



Ratios, Rates, and Proportions - Review

1. Write a ratio in simplest form that represents the number of ‘and’ symbols

to the total number of figures?

& & & & % % % % @ @ @ @ @ @ @ @ @ @

2. Determine if each pair of ratios forms a proportion. Show your work.

[pic] and [pic] [pic] and [pic] [pic] and [pic]

3. A local restaurant purchased 45 pounds of flour at a total cost of

$38.25. Determine the unit cost per pound.

Write each ratio as a fraction in simplest form.

4. 48 : 76 5. 20 inches to 4 feet

Find each unit rate. Round your answer to the nearest hundredth if necessary.

6._______________ 640 miles in 25 hours

7._______________ $30.50 for 32 ounces of specialty cooking oil

Solve for the missing number in each proportion.

8. [pic] = [pic] 9. [pic] = [pic] 10. [pic][pic] = [pic] 11. [pic] = [pic]

Numbers 12- 15 Solve each of the following. Show your work.

12. Use a proportion to determine whether or not the two items below

contain an equal proportion of fat.

Steak: A 20 ounce steak contains 6 ounces of fat.

Hamburger: A 6 ounce hamburger contains 0.75 ounces of fat.

13. A 12 ounce can of Coke costs $0.50 when purchased from the soda

machine at the school. An 18 ounce bottle of Pepsi from the soda

machine at the local gas station costs $1.25. Find the unit cost of each

to determine which location has the less expensive soda per ounce?

14. The ratio of boys to girls at the dance was 9 to 5. How many boys were

at the dance if there were 85 girls at the dance?

15. The ratio of teachers to students in a school is 2 to 45. How many

teachers are in the school if there is a total of 1410 students and

teachers altogether in the school?

16. Constructed Response

Seven notebooks at the school supply store cost $4.76.

Step A

What is the unit rate? _____________

Step B

• Explain how you determined your answer to Step A. Use words, numbers, and/or symbols in your explanation.

• How much would it cost to purchase 3 of these notebooks?

17. Constructed Response

A machine can make 28 items in a 8 minute time period.

Step A

How many items could this machine make in a 14 minute time period?___________

Step B

• Use what you know about proportions to explain how you determined your answer to Step A. Use words, numbers, and or symbols in your explanation.

• How many items could this machine make in a three hour time period?

Multiple Choice

18. Which ratio is equivalent to 48:72?

A. 3:4 B. 2:3 C. 8:10 D. 7:9

19. Which ratio is equivalent to [pic]?

A. [pic] B. [pic] C. [pic] D. [pic]

20. Which ratio is equivalent to [pic]?

A. [pic] B. [pic] C. [pic] D. [pic]

21. Which ratio is equivalent to [pic]?

A. [pic] B. [pic] C. [pic] D. [pic]

22. A rectangle measures 20cm at its width and 5 cm at its length. Find the ratio of the length to the width to the perimeter of the rectangle in lowest form.

A. 1:4:10 B. 4:1:10 C. 5:20:50 D. 20:5:50 E. None of these.

23. Seventy-eight children attended a trip to the fair. 60 of them were girls. Find the ratio of the number of girls to boys.

A. 60:18 B. 18:60 C. 10:3 D. 60:78 E. 3:10

24. In Canada there is one car for every 1.9 people. How many car tires per person are there?

A. 40/19 : 1 B. 2:1 C. 4:1 D. 40:19

25. On a triangle, each side measures 5 cm, 10 cm, and 30 cm, respectively. In lowest terms, find the ratios of the lengths of the sides.

A. 1:2:6 B. 5:10:30 C. 5:1:3 D. 5/10/30

26. If it costs $90 to feed a family of 3 for one week, how much will it cost to feed a family of 5 for one week?

A. $180.00 B. $30.00 C. $120.00 D. $150.00

27. Crystal mixed orange juice, fruit punch concentrate, and ginger ale in the ratio of 2:2:4 to make a special drink. To make 4 liters, how much of each ingredient should she use?

A. 2L orange, 2L punch, 4L ginger ale B. 8L orange, 8L punch, 16L ginger ale

C. 2L orange, 1L punch, 1L ginger ale D. 1L orange, 1L punch, 2L ginger ale

28. Brandon received $50 dollars for his paper route. He spent $20 dollars at the movies, and $10 dollars buying comic books then after buying $5 worth of popcorn, he saved the rest. What is the ratio of the amount of money spent buying comic books and popcorn, to the amount that saved?

A. 10:5:15 B. 15:15 C. 1:1 D. 2:1:3 E. 1:2:3

29. Johnny has a bag full of marbles that he keeps in his desk. He has 35 red marbles and 25 green marbles. Find the ratio of red marbles to green marbles, and put it in its simplest form.

A. 35:25 B. 7:5 C. 25:35 D. 5:7 E. 6:5

30. To make green paint, Jack mixes yellow paint and blue paint in the ratio of three to two. If he used twelve gallons of yellow paint, how much blue paint did he use?

A. 4 B. 6 C. 7 D. 8 E. 12

31. In a school there are four boy scouts to every three girl scouts. If there are forty-two girl scouts, how many boy scouts are there?

A. 56 boy scouts B. 56 girl scouts C. 31.5 girl scouts D. 31.5 boy scouts E. 48 boy scouts

32. One out of three students in the school owns a cat. Of these students one out of two owns a fish. What fraction of the students owns both a cat and a fish?

A. 1/6 of all students own both a cat and a fish.

B. 1/2 of all students own both a cat and a fish.

C. 5/6 of all students own both a cat and a fish.

D. 3/4 of all students own both a cat and a fish.

E. 1/4 of all students own both a cat and a fish.

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