Practice Rates in Math

Use these practice problems to test your method after reviewing the concept explanation and worked examples.

Worksheet PDF Free Answer-key PDF Family

Quick Recap

A rate is a ratio that compares two quantities measured in different units, expressing how much of one quantity corresponds to a given amount of another. It is often written as 'per' one unit of the second quantity, such as miles per hour or dollars per pound.

60 miles per hour tells you how many miles you travel for each hour — it compares distance to time.

Showing a random 20 of 50 problems.

Example 1

medium
15 meters of fabric costs $45. What is the price per meter?

Example 2

medium
A car uses 24 liters of gas to travel 300 km. Find (a) liters per km and (b) km per liter.

Example 3

hard
Train A travels 90 km in 1.5 h; train B travels 135 km in 2.25 h. Which is faster?

Example 4

medium
A car travels at 55 mph. How far in 3.5 hours?

Example 5

easy
A faucet fills 12 liters in 3 minutes. What is the flow rate per minute?

Example 6

medium
A garden hose fills a 20-gallon tank in 5 minutes. What is the flow rate in gallons per minute, and in gallons per second?

Example 7

medium
Pipe A fills a tank at 5 liters per minute. How long to fill a 90-liter tank?

Example 8

medium
A car uses 8 gallons to drive 200 miles. What is its fuel efficiency in miles per gallon?

Example 9

medium
A factory makes 360 widgets in 6 hours. How many per hour?

Example 10

challenge
Two cars start 300 miles apart and drive toward each other at 40 mph and 60 mph. How long until they meet?

Example 11

medium
Printer A prints 180 pages in 3 minutes and Printer B prints 260 pages in 4 minutes. Which printer is faster?

Example 12

easy
4 pounds of apples cost $10. What is the price per pound?

Example 13

medium
Store X: 12 oz for $3. Store Y: 20 oz for $4. Which is cheaper per ounce?

Example 14

hard
A factory paints 1200 cars in 30 days, running 8 hours a day. What is the production rate in cars per hour?

Example 15

easy
A pool drains 720 liters in 12 minutes. What is the drain rate per minute?

Example 16

medium
A faucet pours 0.5 L per second. How many liters in 6 minutes?

Example 17

medium
Compare: $1.92 for 12 oz of juice versus $2.55 for 15 oz. Which is the better unit price?

Example 18

easy
A car goes 120 miles in 2 hours. What is its speed in miles per hour?

Example 19

hard
A worker earns $18/hour for the first 40 hours and $27/hour for overtime. If she earned $873 in a week, how many overtime hours did she work?

Example 20

medium
A jogger runs at 6 mph. How far in 45 minutes?
← Back to Rates Worked Examples Formula Explained