Practice: Understanding Rates

Grade 6 Mathematics | Independent Practice

Name:
Date:

Part A: Finding Unit Rates

Directions: Find the unit rate. Remember to include units in your answer!

1. 150 miles in 3 hours

miles per hour

2. $24 for 6 pounds

$ per pound

3. 200 words in 5 minutes

words per minute

4. 360 miles on 12 gallons

miles per gallon

5. $35 for 7 hours of work

$ per hour

6. 72 heartbeats in 60 seconds

beats per second

Part B: Finding Unit Prices

Directions: Find the unit price (price per one item or per one ounce/pound).

7. 4 pens for $3.00

$ per pen

8. 10 oz of cereal for $4.50

$ per oz

9. 3 pounds of cheese for $12.60

$ per pound

10. 8 bananas for $2.00

$ per banana

Part C: Comparing Rates (Best Buy)

Directions: Find the unit rate for each option. Then determine which is the better buy.

11. Juice: Store A: 64 oz for $4.00    Store B: 48 oz for $2.88

Store A: $ per oz    Store B: $ per oz

Better buy: Store

12. Paper towels: Brand X: 6 rolls for $8.40    Brand Y: 8 rolls for $10.00

Brand X: $ per roll    Brand Y: $ per roll

Better buy: Brand

13. Driving speed: Car A: 240 miles in 4 hours    Car B: 270 miles in 5 hours

Car A: mph    Car B: mph

Faster car: Car

Part D: Rate Word Problems

Directions: Solve each problem. Show your work and include units in your answer.

14. A factory produces 450 toys in 6 hours. At this rate, how many toys can be produced per hour?

Answer: _______________ toys per hour

15. Jake earns $63 for 9 hours of work. At this rate, how much will he earn for 12 hours of work?

Answer: $_______________

16. A printer prints 48 pages in 4 minutes. How long will it take to print 180 pages at this rate?

Answer: _______________ minutes

17. A car gets 32 miles per gallon. How many gallons will it need to travel 256 miles?

Answer: _______________ gallons

18. Maria read 135 pages in 3 days. At this rate, how many pages can she read in 7 days?

Answer: _______________ pages

Challenge: Think About It!

19. Store A sells 3 shirts for $45. Store B sells 5 shirts for $70. Store C sells 4 shirts for $52. Which store offers the best deal? Explain your reasoning.

20. A train travels 90 miles in 1.5 hours. A car travels 120 miles in 2.5 hours. Which is faster and by how much?