Back to Exercise: Use ratio and rate reasoning to solve real-world and mathematical problems

Exercises: Ratio and Rate Reasoning

Show your work for each problem. Include units in your answers where applicable.

Grade 6·26 problems·~45 min·Common Core Math - Grade 6·standard·6-rp-a-3
Work through problems with immediate feedback
A

Warm-Up: Review What You Know

These problems review skills you have already learned.

1.

A ratio table shows the relationship between cups of orange juice and cups of water. The first row is 2 cups orange juice to 6 cups water. Which row correctly extends this table?

2.

A car travels 150 miles in 3 hours at a constant speed. What is the unit rate in miles per hour?

3.

A store sells 4 apples for $2.00. What is the unit price in dollars per apple?

B

Fluency Practice

Apply ratio and rate reasoning to each problem. Show your work.

1.

A recipe uses 3 cups of flour for every 2 cups of sugar. Complete the ratio table: if you use 9 cups of flour, how many cups of sugar do you need?

2.

A punch recipe calls for 4 cups of grape juice for every 10 cups of lemonade. If you want to make a batch using 6 cups of grape juice, how many cups of lemonade do you need?

Coordinate plane showing four ratio pairs plotted as dots, all lying on a straight line through the origin.
3.

Pairs from a ratio table are plotted on a coordinate plane with the first quantity on the horizontal axis and the second on the vertical axis. The pairs are (1, 3), (2, 6), (3, 9), and (4, 12). Which statement best describes the pattern?

4.

It takes a printer 6 minutes to print 8 pages. At that rate, how many pages can it print in 21 minutes?

5.

Store A sells 5 lb of rice for $4.50. Store B sells 8 lb of rice for $6.80.

1.

Which store has the lower price per pound?

2.

What is Store B's price per pound?

6.

What is 40% of 85?

7.

A board is 96 inches long. How many feet long is it? (Use: 1 foot = 12 inches)

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