Math Grade 6-8

Rates and Unit Rates

Comparing quantities and finding cost, speed, and other rates per 1 unit

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Comparing quantities and finding cost, speed, and other rates per 1 unit

Math - Grade 6-8

Instructions: Read each problem carefully. Show your work in the space provided. Include units in your answers.
  1. 1
    A runner on a track with a stopwatch.

    A runner travels 12 miles in 3 hours. What is the runner's unit rate in miles per hour?

  2. 2
    A pack of notebooks with coins beside it.

    A pack of 6 notebooks costs $9.00. What is the cost per notebook?

  3. 3
    A printer producing pages.

    A printer prints 45 pages in 5 minutes. How many pages does it print per minute?

  4. 4
    Two store counters with pencils and coins for comparison.

    Store A sells 8 pencils for $2.40. Store B sells 12 pencils for $3.00. Which store has the lower price per pencil?

  5. 5
    A car near a gas pump on a road.

    A car uses 10 gallons of gas to travel 320 miles. What is the car's fuel efficiency in miles per gallon?

  6. 6
    Flour, a mixing bowl, and cookies for a recipe.

    A recipe uses 3 cups of flour to make 24 cookies. At this rate, how many cookies can be made with 1 cup of flour?

  7. 7
    A worker with a time clock and money.

    Lena earns $48 for working 6 hours. If she is paid at the same rate, how much does she earn in 10 hours?

  8. 8
    A bicyclist riding with a stopwatch nearby.

    A bicyclist rides 18 miles in 1.5 hours. What is the bicyclist's speed in miles per hour?

  9. 9
    Two different-sized juice bottles with coins.

    A 20-ounce bottle of juice costs $2.60. A 32-ounce bottle of the same juice costs $3.84. Which bottle has the lower cost per ounce?

  10. 10
    Students and teachers in a classroom.

    A classroom has 28 students and 4 teachers. Write the rate of students to teachers, then find the number of students per teacher.

  11. 11
    A faucet filling a container with water.

    A faucet fills 15 gallons of water in 6 minutes. How many gallons does it fill per minute?

  12. 12
    A laptop receiving a movie download from a cloud.

    A movie download uses 1,200 megabytes in 4 minutes. At this rate, how many megabytes are used in 7 minutes?

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