Worksheets · Pre-Algebra

Unit rates and ratios worksheet

A ratio compares two amounts and simplifies like a fraction. A unit rate is a ratio with a 1 underneath: miles per one hour, dollars per one pound. Divide to get there, and the better buy is whichever deal has the smaller unit price.

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Pick more than one for a sheet that mixes them.

Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

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Name

Ratios and Unit Rates

Date Period

Answer each question.

  1. Write the ratio 56:7 in simplest form
  2. Find the unit rate: 270 points in 10 games
  3. Which is the better buy: 12 cans for $21.12 or 13 for $23.92?
  4. Write the ratio 8:6 in simplest form
  5. Find the unit rate: 486 pages in 12 hours
  6. Which is the better buy: 19 oranges for $126.54 or 6 for $40.98?
  7. Write the ratio 15:9 in simplest form
  8. Find the unit rate: 385 pages in 10 hours
  9. Which is the better buy: 7 batteries for $46.48 or 24 for $157.20?
  10. Write the ratio 33:36:12 in simplest form
  11. Find the unit rate: 132 calories in 11 servings
  12. Which is the better buy: 23 bottles for $202.86 or 5 for $44.65?
  13. Write the ratio 56:49:70 in simplest form
  14. Find the unit rate: 540 words in 10 minutes
  15. Which is the better buy: 5 bottles for $26.05 or 17 for $89.59?
  16. Write the ratio 27:24 in simplest form
  17. Find the unit rate: 600 meters in 10 seconds
  18. Which is the better buy: 22 batteries for $46.86 or 2 for $3.86?
  19. Write the ratio 110:100:20 in simplest form
  20. Find the unit rate: 11 notebooks for $35.75

Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

Sigma Prep · sigmaprep.io/worksheets

Name

Ratios and Unit RatesAnswer keyVersion 1

Date Period

Answer each question.

  1. Write the ratio 56:7 in simplest form8:1
  2. Find the unit rate: 270 points in 10 games27 points per game
  3. Which is the better buy: 12 cans for $21.12 or 13 for $23.92?12 for $21.12, at $1.76 each
  4. Write the ratio 8:6 in simplest form4:3
  5. Find the unit rate: 486 pages in 12 hours40.5 pages per hour
  6. Which is the better buy: 19 oranges for $126.54 or 6 for $40.98?19 for $126.54, at $6.66 each
  7. Write the ratio 15:9 in simplest form5:3
  8. Find the unit rate: 385 pages in 10 hours38.5 pages per hour
  9. Which is the better buy: 7 batteries for $46.48 or 24 for $157.20?24 for $157.20, at $6.55 each
  10. Write the ratio 33:36:12 in simplest form11:12:4
  11. Find the unit rate: 132 calories in 11 servings12 calories per serving
  12. Which is the better buy: 23 bottles for $202.86 or 5 for $44.65?23 for $202.86, at $8.82 each
  13. Write the ratio 56:49:70 in simplest form8:7:10
  14. Find the unit rate: 540 words in 10 minutes54 words per minute
  15. Which is the better buy: 5 bottles for $26.05 or 17 for $89.59?5 for $26.05, at $5.21 each
  16. Write the ratio 27:24 in simplest form9:8
  17. Find the unit rate: 600 meters in 10 seconds60 meters per second
  18. Which is the better buy: 22 batteries for $46.86 or 2 for $3.86?2 for $3.86, at $1.93 each
  19. Write the ratio 110:100:20 in simplest form11:10:2
  20. Find the unit rate: 11 notebooks for $35.75$3.25 each

Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

How to do these

Find the unit rate: 360 miles in 6 hours

  1. Per hour means divide by the hours.
  2. 360 over 6.

The answer is 60 miles per hour.

Where students go wrong

Dividing the wrong way round. A unit rate is the first quantity per one of the second, so the hours go underneath. 6 over 360 is hours per mile, which nobody asked for.

Also called unit rate, simplifying ratios, better buy or rates and ratios.

What you can put on this worksheet

A ratio in simplest form
Write the ratio 25:30 in simplest form 5:6
A unit rate
Find the unit rate: 36 laps in 6 minutes 6 laps per minute
The better buy
Which is the better buy: 7 batteries for $15.75 or 8 for $19.84? 7 for $15.75, at $2.25 each

Questions about these worksheets

Yes. Every unit rates and ratios sheet is free to print and free to download as a PDF. There is no account to make, no email to hand over and no limit on how many you take.

Yes. The answer key prints on a second page, and you can choose whether it shows each question beside its answer or just the answers in a list.

Yes. Print straight from the page, or download the PDF and print that. The sheet is laid out for paper rather than squeezed off a screen, so there is room to work under each question, and the answer key comes out on its own page.

Pre-Algebra is usually taken around 7th or 8th grade, though schools vary and plenty of students meet it earlier or later. Pick the difficulty rather than the grade: the easy level suits a first lesson on it, the hard level suits review before a test.

Yes, as many as you like. The questions are built fresh each time rather than picked from a fixed set of files, so pressing Generate gives a new sheet. That is what you want for a second class, a retake, or two students sitting next to each other.

That is the closest comparison, and Kuta Software is good software. It is also paid software you install on a computer. These worksheets run in a browser tab for free, with no account and nothing to install. Like Kuta, the unit rates and ratios questions are generated when you ask for them rather than pulled from a fixed set of files, so two classes never get the same sheet, and the answer key comes with it.

Yes. There are two levels, and you can tick more than one for a sheet that mixes them, in which case the questions come out easiest first. The harder levels are not just larger numbers: they ask for something the easy ones do not.

You pick from 3: a ratio in simplest form, a unit rate and the better buy. Tick as many as you want and set how many of each, or let it spread them evenly.

Dividing the wrong way round. A unit rate is the first quantity per one of the second, so the hours go underneath. 6 over 360 is hours per mile, which nobody asked for.