These 10 problems practice finding and using unit rates from standards 6.RP.A.2 and 6.RP.A.3b. You will find unit prices and speeds, then use a unit rate to solve for a total cost, a distance, or a time.
The last problems compare prices to find the better buy and combine two speeds on a road trip. Write each answer with its rate unit.
Problem 1: Unit rate of speed
A car drives 150 miles in 3 hours at a constant speed. Find the unit rate in miles per hour.
Problem 2: Unit price
Six notebooks cost $9.00 at the school store. Find the price of one notebook.
Problem 3: Typing rate
Jamal types 180 words in 4 minutes. Find the number of words he types per minute.
Problem 4: Filling a tank
A hose fills 15 gallons of water in 6 minutes. Find the unit rate in gallons per minute.
Problem 5: Cost from a unit price
Apples cost $1.80 per pound at the farmers market. Find the cost of 5 pounds of apples.
Problem 6: Better buy: juice
A 4-pack of juice bottles costs $5.20. A 6-pack of the same juice costs $7.50. Find each price per bottle and tell which pack is the better buy.
Problem 7: Constant speed train
A train travels 240 miles in 4 hours at a constant speed. (a) How far does it travel in 7 hours? (b) How long does it take to travel 360 miles?
Problem 8: Babysitting pay
Mei earns $63 for 7 hours of babysitting. At the same rate, (a) how much does she earn in 12 hours? (b) how many hours must she work to earn $144?
Problem 9: Comparing three sizes
A cereal comes in three sizes: 12 ounces for $2.40, 20 ounces for $3.80, and 32 ounces for $6.40. Find the unit price of each size and tell which size is the best buy.
Problem 10: Road trip
Sofia drives for 3 hours at 60 miles per hour, then for 2 hours at 45 miles per hour. Find (a) the total distance, (b) the total time, and (c) her average speed for the whole trip.
See every chapter on the Grade 6 math page.