Testinar Grade 6 math

Finding the Unit Rate

Students will build Grade 6 mastery of finding the unit rate using models, equations, and test-style reasoning.

CH01-04 Ratios, Rates, and Percents

Directions Solve each problem. Show your reasoning on the page or on separate paper. Check the answer key only after finishing.

A grocery store sells $8$ pounds of rice for $$12$. What is the unit price in dollars per pound?
1. $$1.50$ per pound
2. $$1.25$ per pound
3. $$2.00$ per pound
4. $$3.00$ per pound
A car travels $240$ miles in $4$ hours. What is the unit rate in miles per hour?
1. $60$ mph
2. $56$ mph
3. $64$ mph
4. $80$ mph
A recipe uses $3$ cups of flour to make $12$ cookies. How much flour is needed per cookie?
1. $0.25$ cups
2. $0.75$ cups
3. $1$ cup
4. $4$ cups
A water fountain fills $10$ gallons in $2$ minutes. What is the unit rate in gallons per minute?
1. $2$ gal/min
2. $5$ gal/min
3. $8$ gal/min
4. $20$ gal/min
A store sells $5$ notebooks for $$7.50$. What is the price per notebook?
1. $$1.25$
2. $$1.50$
3. $$2.50$
4. $$7.50$
The table below shows the relationship between apples and their cost. Which represents the unit rate?
1. $$0.60$ per apple
2. $$0.90$ per apple
3. $$1.80$ per apple
4. $$3.00$ per apple
A runner completes a race at a constant speed. The double number line shows the distance and time. What is the unit rate in miles per minute?
1. $0.2$ mi/min
2. $0.3$ mi/min
3. $3$ mi/min
4. $10$ mi/min
A printer produces $180$ pages in $3$ minutes. At this rate, how many pages does it print per minute?
1. $60$ pages/min
2. $90$ pages/min
3. $120$ pages/min
4. $180$ pages/min

Teacher and parent reference

Answer key and explanations

A. $$1.50$ per pound
Unit price is total cost divided by number of units: $$12 \div 8 = $1.50$ per pound.
A. $60$ mph
Divide the total distance by time: $240 \div 4 = 60$ miles per hour.
A. $0.25$ cups
Unit rate: $3 \div 12 = 0.25$ cups per cookie.
B. $5$ gal/min
Divide total gallons by time: $10 \div 2 = 5$ gallons per minute.
B. $$1.50$
Unit price: $$7.50 \div 5 = $1.50$ per notebook.
A. $$0.60$ per apple
Take any row: $$1.80 \div 3 = $0.60$ per apple. All rows confirm this unit rate.
B. $0.3$ mi/min
From the double number line, $3$ miles in $10$ minutes gives $3 \div 10 = 0.3$ miles per minute.
A. $60$ pages/min
Unit rate: $180 \div 3 = 60$ pages per minute.