6.RP.A.2 Unit Rate Worksheet for 11-Year-Olds — Grade 6 Ratios & Rates Practice

Instructions

A ratio compares two different quantities, like 120 miles to 2 hours. A unit rate finds the amount for just ONE of a quantity. For example, how many miles for one hour?

To find the unit rate, simply divide the first quantity by the second. Remember to include the units in your answer (like "miles per hour" or "$ per item").

Example: A car travels 120 miles in 2 hours.

• Ratio: 120 miles : 2 hours
• Calculation: 120 miles ÷ 2 hours = 60 miles per hour
• Unit Rate: 60 mph

Part 1: Find the Unit Rate

Read each statement and calculate the unit rate. Write your answer on the line.

1. A car travels 180 miles in 3 hours.

   Rate: _______________ miles per hour

   
   

2. You earn $45 for mowing 5 lawns.

   Rate: _______________ dollars per lawn

   
   

3. A factory produces 400 toys in 8 hours.

   Rate: _______________ toys per hour

   
   

4. You type 210 words in 3 minutes.

   Rate: _______________ words per minute

   
   

5. A grocery store sells 4 apples for $2.00.

   Rate: _______________ dollars per apple

   
   

Part 2: Real-World Rates

Read each word problem carefully and solve for the unit rate.

1. The basketball team scored 435 points in 5 games. On average, how many points did they score per game?

   Answer: ______________________________

   
   

2. A 12-ounce bottle of shampoo costs $4.80. What is the price per ounce?

   Answer: ______________________________

   
   

3. A snail crawled 50 centimeters in 20 minutes. What was the snail's speed in centimeters per minute?

   Answer: ______________________________

   
   

4. A recipe calls for 2 cups of sugar to make 24 cookies. How much sugar is needed per cookie?

   Answer: ______________________________

   
   

5. Your heart beats 320 times in 4 minutes while you are exercising. What is your heart rate in beats per minute?

   Answer: ______________________________

   
   

Challenge: Which is the Better Deal?

A supermarket sells two sizes of orange juice.

• A 32-ounce carton for $3.20
• A 60-ounce carton for $5.40

Calculate the price per ounce for each carton to determine which one is the better deal. Show your work!

32-ounce carton rate: ____________________________

60-ounce carton rate: ____________________________

The better deal is the: ____________________________

Answer Key

Part 1: Find the Unit Rate

1. Rate:   60   miles per hour (180 ÷ 3 = 60)
2. Rate:   $9   dollars per lawn (45 ÷ 5 = 9)
3. Rate:   50   toys per hour (400 ÷ 8 = 50)
4. Rate:   70   words per minute (210 ÷ 3 = 70)
5. Rate:   $0.50   dollars per apple ($2.00 ÷ 4 = $0.50)

Part 2: Real-World Rates

1. Answer: 87 points per game (435 ÷ 5 = 87)
2. Answer: $0.40 per ounce ($4.80 ÷ 12 = $0.40)
3. Answer: 2.5 centimeters per minute (50 ÷ 20 = 2.5)
4. Answer: 1/12 cup of sugar per cookie (or approx 0.083) (2 ÷ 24 = 1/12)
5. Answer: 80 beats per minute (320 ÷ 4 = 80)

Challenge: Which is the Better Deal?

32-ounce carton rate: $0.10 per ounce ($3.20 ÷ 32 = $0.10)

60-ounce carton rate: $0.09 per ounce ($5.40 ÷ 60 = $0.09)

The better deal is the: 60-ounce carton (because $0.09 is less than $0.10 per ounce).