This 45-minute test covers unit rates, unit price, constant speed, and comparing prices from standards 6.RP.A.2 and 6.RP.A.3b. It has 8 questions worth 20 points in all. Show your work and include units in every answer.
- Grade: Grade 6
- Chapter: Unit Rates
- Common Core: 6.RP.A.2, 6.RP.A.3b
- Time: 45 minutes
- Total: 20 points (Question 1: 2 pts; Question 2: 2 pts; Question 3: 2 pts; Question 4: 3 pts; Question 5: 3 pts; Question 6: 3 pts; Question 7: 3 pts; Question 8: 2 pts)
Question 1: Reading rate (2 points)
Priya reads 45 pages in 90 minutes at a steady pace.
- Find her unit rate in pages per minute. (1 point)
- Find her unit rate in minutes per page. (1 point)
Question 2: Grape prices (2 points)
Five pounds of grapes cost $9.75.
- Find the price per pound. (1 point)
- Find the cost of 8 pounds. (1 point)
Question 3: Highway speed (2 points)
A bus travels 210 miles in 3.5 hours at a constant speed.
- Find its speed in miles per hour. (1 point)
- How far does it travel in 5 hours at this speed? (1 point)
Question 4: Best buy: snacks (3 points)
A store sells three sizes of trail mix: 18 ounces for $4.14, 24 ounces for $5.28, and 30 ounces for $6.90. Which size has the lowest price per ounce? Show the unit price of each size.
Question 5: Typing speeds (3 points)
Ethan types 150 words in 5 minutes. Aisha types 222 words in 6 minutes. Who types faster, and by how many words per minute?
Question 6: Hourly pay (3 points)
Noah earns $13 per hour mowing lawns.
- How much does he earn in 10 hours? (1 point)
- How many hours must he work to earn $195? (1 point)
- Explain why \(\$13\) per hour and \(\$26\) for 2 hours describe the same rate. (1 point)
Question 7: Honey jars (3 points)
At a farmers market, a 12-ounce jar of honey costs $5.40 and a 16-ounce jar costs $6.88.
- Find the price per ounce of each jar. (2 points)
- Using the better buy, find the cost of 48 ounces of honey. (1 point)
Question 8: Gas mileage (2 points)
A car uses 9 gallons of gas to travel 288 miles.
- Find the number of miles per gallon. (1 point)
- How many gallons are needed to travel 400 miles at this rate? (1 point)
See every chapter on the Grade 6 math page.

