StudyWiz home
Sign inStart free

Ratios and rates worksheet

Grade 6 math, Common Core 6.RP.A.1. 10 problems with an answer key and worked steps. Free to print, and you can make new problems any time.

By the StudyWiz teamUpdated October 23, 2026How we write our pages

NameDate

Ratios and rates

Grade 6 math, Common Core 6.RP.A.1

Answer each question. Write ratios in simplest form, like 3:4.

  1. 1.
    A fruit basket has 24 apples and 9 oranges. Write the ratio of apples to oranges.
  2. 2.
    Are 5:25 and 3:15 equivalent ratios?
  3. 3.
    A printer prints 150 pages in 5 minutes. What is the unit rate in pages per minute?
  4. 4.
    Are 27:12 and 63:28 equivalent ratios?
  5. 5.
    An animal shelter has 4 dogs and 2 cats. Write the ratio of dogs to cats.
  6. 6.
    A parking lot has 12 cars and 10 trucks. Write the ratio of cars to trucks.
  7. 7.
    Are 14:2 and 21:3 equivalent ratios?
  8. 8.
    A printer prints 189 pages in 7 minutes. What is the unit rate in pages per minute?
  9. 9.
    A printer prints 72 pages in 8 minutes. What is the unit rate in pages per minute?
  10. 10.
    Are 9:12 and 18:25 equivalent ratios?
Free worksheets for grades 6 to 8 from StudyWiz, with answer keys: studywiz.online/worksheets

Answer key: Ratios and rates

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

  1. 1. 8:3

    24:9Divide both by 3: 8:3

  2. 2. Yes

    5:25 = 1:53:15 = 1:5 too

  3. 3. 30 pages per minute

    150 ÷ 5 = 30

  4. 4. Yes

    27:12 = 9:463:28 = 9:4 too

  5. 5. 2:1

    4:2Divide both by 2: 2:1

  6. 6. 6:5

    12:10Divide both by 2: 6:5

  7. 7. Yes

    14:2 = 7:121:3 = 7:1 too

  8. 8. 27 pages per minute

    189 ÷ 7 = 27

  9. 9. 9 pages per minute

    72 ÷ 8 = 9

  10. 10. No

    9:12 = 3:418:25 doesn’t simplify to 3:4

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

About ratios and rates

A ratio compares two amounts, like 3 apples for every 4 oranges, and can be written 3:4, 3 to 4 or as a fraction. To write a ratio in simplest form, divide both numbers by their greatest common factor. A rate compares amounts with different units, like pages per minute, and a unit rate tells you the amount for exactly 1.

Worked example 1

A printer prints 162 pages in 6 minutes. What is the unit rate in pages per minute?
  1. Step 1.162 ÷ 6 = 27

Answer: 27 pages per minute

Worked example 2

A shelf has 10 fiction books and 25 nonfiction books. Write the ratio of fiction books to nonfiction books.
  1. Step 1.10:25
  2. Step 2.Divide both by 5: 2:5

Answer: 2:5

Worked example 3

A parking lot has 32 cars and 20 trucks. Write the ratio of cars to trucks.
  1. Step 1.32:20
  2. Step 2.Divide both by 4: 8:5

Answer: 8:5

Watch out for

  • Keep the order the question asks for: blue to red is not the same as red to blue.
  • For a part-to-whole ratio, add the parts first to get the whole.
  • A unit rate is the total divided by the number of units: 96 pages in 8 minutes is 96 ÷ 8 = 12 pages per minute.

Practice ratios and rates online

On StudyWiz, your kid can practice ratios and rates 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.

More grade 6 math worksheets

More from Ratios and proportional relationships:

Other grade 6 topics:

See all 6th grade math worksheets, or switch to grade 7 or grade 8.

Keep reading

Try Wiz with tonight’s homework

Free to start, no card needed. Each kid gets 3 homework questions, 5 practice quizzes and 1 writing review a day on the free plan.

Start freeSee pricing