# SBA Math - Grade 7: Ratios, Rates & Proportions Chapter Exam

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### Page 1

#### Question 1 1. Which of the following equations shows a direct variation?

#### Question 2 2. What additional information do average rate problems require you to find?

#### Question 3 3. What is the constant of variation if y equals 10 when x equals 15 and they vary inversely?

#### Question 4 4. A pair of shoes is on sale for $96. If the shoes are on sale for 20% off, what was the original price?

#### Question 5 5. Two boats in a race are going at different speeds. Boat A takes 1 minute to travel 100 feet and Boat B takes 1 minute to travel 200 feet. What is the constant rate for Boat B?

### Page 2

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Question 6
6.
Write a ratio for the number of students who received an A to the number of students who received an F.

A Students = 3

B Students = 8

C Students = 2

D Students = 1

F Students = 2

#### Question 7 7. A painting costs $225. If the sale price is $191.25, what is the percent discount?

#### Question 8 8. A particular pancake recipe calls for 3 cups of flour to 1 cup of milk. Keeping things in proportion, what is the ratio of flour to milk if you double this recipe?

#### Question 9 9. A particular ride at an amusement park has a slide part, a water part, and a land part. The slide part is 200 feet long and it takes 2 seconds to slide down. The water part is 500 feet long and it takes 10 seconds for the passenger to ride through it. The land part is also 500 feet long and it takes another 10 seconds to ride through this part. What is the average rate of this particular ride?

#### Question 10 10. If the constant of variation is 0.38 and x equals 15, what does y equal if they vary inversely?

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#### Question 11 11. Two cars leave from two different cities 50 miles apart on a straight highway. If one car is going at 50 mph and the toward the other car which is going 60 mph, at what time will they meet?

#### Question 12 12. Which of the following is not a rate?

####
Question 13
13.
Write a ratio for the number of red balls to blue balls.

Red balls = 10

Blue balls = 8

Green balls = 6

#### Question 14 14. Which of the following formulas shows an inverse variation?

#### Question 15 15. When x = 40, y = 45. If x and y vary directly, what is the constant of variation?

### Page 4

#### Question 16 16. If a train going at a steady pace traveled 40 miles in half an hour, what is the train's constant rate?

#### Question 17 17. Which of the following is an example of a unit rate?

#### Question 18 18. The colder it is, the longer it takes for ice to melt. If it takes 2 hours for ice to melt at 50 degrees, how long does it take for the ice to melt at 70 degrees?

#### Question 19 19. Which of the following ratios is in proportion to the ratio 3:4?

#### Question 20 20. x and y varies inversely. x equals 10 when y = 20. What does x equal when y = 40?

### Page 5

#### Question 21 21. Which of the following ratios is not proportional to 2:3?

#### Question 22 22. Carl has two parts to his journey to work 30 miles away. The first part he drives a car for 15 minutes at 20 mph. The second part he is on a boat going 10 mph. Which of the following shows the situation properly?

#### Question 23 23. What is the first and most important step in solving rate word problems?

#### Question 24 24. One box of cereal costs $3. How many boxes can you buy with $15?

#### Question 25 25. A restaurant sells cheeseburgers to chicken sandwiches in a ratio of 7:2. If the restaurant sells 12 chicken sandwiches one day, how many cheeseburgers does it sell?

### Page 6

#### Question 26 26. If a car drives at 60 miles per hour for 4 hours, how far will it go?

#### Question 27 27. If it takes a team of three painters to paint a 7-room house in a day, how many painters are required to paint a 14-room house in a day?

#### Question 28 28. Sarah has been working at her new job for 2 weeks now and she just got her first paycheck for the amount of $875. If Sarah had worked for 35 hours per week during those 2 weeks, how much does she get paid per hour?

#### Question 29 29. An aquarium has 14 seals, 22 penguins and 4 sea turtles. What is the ratio of sea turtles to seals?

#### Question 30 30. The hotter it gets, the more people go to the beach. If there are 120 people at the beach when the temperature is 80 degrees Fahrenheit, how many people will be at the beach when the temperature is 100 degrees Fahrenheit?

#### SBA Math - Grade 7: Ratios, Rates & Proportions Chapter Exam Instructions

Choose your answers to the questions and click 'Next' to see the next set of questions. You can skip questions if you would like and come back to them later with the yellow "Go To First Skipped Question" button. When you have completed the practice exam, a green submit button will appear. Click it to see your results. Good luck!