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Unit rates and percents worksheet

Grade 6 math, Common Core 6.RP.A.3. 10 problems with an answer key and worked steps. Free to print, and you can make new problems any time.

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Unit rates and percents

Grade 6 math, Common Core 6.RP.A.3

Answer each question.

  1. 1.
    60% of what number is 36?
  2. 2.
    What is 20% of 120?
  3. 3.
    80% of what number is 96?
  4. 4.
    A car travels 324 miles in 6 hours at the same speed. How many miles does it travel per hour?
  5. 5.
    Pack A has 7 yogurt cups for $4.55. Pack B has 9 yogurt cups for $5.40. Which pack is the better buy?
  6. 6.
    60% of what number is 120?
  7. 7.
    96 is what percent of 160?
  8. 8.
    10% of what number is 2?
  9. 9.
    7 apples cost $4.20. How much does 1 cost?
  10. 10.
    3 apples cost $5.25. How much does 1 cost?
Free worksheets for grades 6 to 8 from StudyWiz, with answer keys: studywiz.online/worksheets

Answer key: Unit rates and percents

Grade 6 math. Each answer has a few worked steps, to help check the method as well as the answer.

  1. 1. 60

    36 ÷ 0.6 = 60

  2. 2. 24

    20% = 0.20.2 × 120 = 24

  3. 3. 120

    96 ÷ 0.8 = 120

  4. 4. 54 miles per hour

    324 ÷ 6 = 54

  5. 5. Pack B

    Pack A: $4.55 ÷ 7 = $0.65 eachPack B: $5.40 ÷ 9 = $0.60 each

  6. 6. 200

    120 ÷ 0.6 = 200

  7. 7. 60%

    96 ÷ 160 = 0.60.6 = 60%

  8. 8. 20

    2 ÷ 0.1 = 20

  9. 9. $0.60

    $4.20 ÷ 7 = $0.60

  10. 10. $1.75

    $5.25 ÷ 3 = $1.75

The answer key prints on its own page. You’re welcome to print and copy these worksheets for your own kids or class.

About unit rates and percents

A unit rate is the amount for one: one ticket, one hour, one pound. Divide the total by the number of units to find it, and compare unit rates to find the better buy. A percent is a rate per 100, so 25% means 25 out of every 100.

Worked example 1

6 markers cost $15.00. How much does 1 cost?
  1. Step 1.$15.00 ÷ 6 = $2.50

Answer: $2.50

Worked example 2

12 pens cost $7.20. How much does 1 cost?
  1. Step 1.$7.20 ÷ 12 = $0.60

Answer: $0.60

Worked example 3

6 apples cost $4.50. How much does 1 cost?
  1. Step 1.$4.50 ÷ 6 = $0.75

Answer: $0.75

Watch out for

  • The better buy is the one with the lower price for one item, not the lower total price.
  • To find a percent of a number, change the percent to a decimal and multiply: 30% of 80 is 0.3 × 80 = 24.
  • Ask yourself if the answer makes sense: 50% of a number is half of it.

Practice unit rates and percents online

On StudyWiz, your kid can practice unit rates and percents with 5-question quizzes that are checked as they go, with an explanation for every answer. When a homework problem is the trouble, Wiz gives a hint for each step instead of the answer.

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