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Worksheets6th grade › ratios and unit rates

Free 6th Grade Ratios and Unit Rates Worksheets

These 6th grade ratio worksheets are generated rather than scanned, which means you can print a different sheet every day of the week without paying for a subscription or running out of practice. A typical problem from the sheet in front of you is 7 : 6 = 42 : □, which works out to 36; another is 6 items cost $50.70. One item, giving $8.45.

📄 6TH GRADE RATIO WORKSHEETS — A NEW SHEET EVERY TIME YOU PRESS THE BUTTON
🎲 New set of problems

‘New set of problems’ opens the generator in its own tab. There you can change the problem count and turn the answer key on or off. ‘Print or save as PDF’ opens the print dialog — choose Save as PDF in the printer list to keep the file. The sheet fits US Letter and A4, and the answer key prints on its own page.

What this worksheet practises

Equivalent ratios work exactly like equivalent fractions: multiply or divide both sides by the same number. Children who see that connection stop treating ratio as a new topic.

The order of the two parts matters, and it matters more than children expect. A ratio written the wrong way round is simply a different ratio.

Because each sheet is new, the scale factor changes from problem to problem instead of settling into a pattern.

This sheet uses both parts from 2 to 9, small enough that the scale factor can be spotted rather than calculated — 4 : 2 = □ : 8 is a fair example of it.

In US classrooms these 6th grade ratio worksheets are commonly aligned with the ratio and proportional relationships strand for grade 6, though the exact wording varies from state to state.

Sample problems from the current sheet

These six come from the sheet loaded on this page. Press the button and the numbers change, but the shape stays the same (both parts from 2 to 9).
#ProblemAnswerWhat to check
17 : 6 = 42 : □36Watch for: scaling only one part
26 items cost $50.70. One item =$8.45Check: ignoring units in a rate
34 : 5 = 24 : □30Look at: reversing the order
44 items cost $12.80. One item =$3.20Ask about: missing an obvious simplification
54 : 2 = □ : 816Watch for: confusing a ratio with a fraction of the whole
65 items cost $43.75. One item =$8.75Check: adding instead of multiplying

Start with one worked example

Try 4 : 5 = 24 : □ together before letting the child start alone. The answer to 4 : 5 = 24 : □ is 30, and talking through how it was reached takes about a minute and saves several minutes of guessing later in the sheet.

A good first problem to do together is 7 : 6 = 42 : □, which comes out at 36. Do 7 : 6 = 42 : □ once with the child narrating, then hand over the pencil and start the clock on the other 20 problems.

The three errors worth watching for

How to run this as a 12-minute daily drill

  1. Write the finish time and the score at the top of every sheet. Two weeks of those two numbers tells you more about progress on ratios and unit rates than any single test result.
  2. If two days in a row come out under 12 minutes with everything correct, that is the signal to move up: either numbers bigger than 7 : 6 = 42 : □ uses, or the next skill in the sequence.
  3. Do not raise the number of problems until the accuracy is steady. Going from 20 correct-but-slow problems to more problems only multiplies the same mistake.
  4. Stop the session at the time limit even if the sheet is unfinished, and note where the child got to. A half sheet done well is better data than a whole sheet rushed.
  5. Mark it together straight away while the working is still fresh, so a slip like the one behind 4 : 5 = 24 : □ can be talked through instead of guessed at.

Marking the sheet

Answers appear next to their question numbers, so a wrong item like 6 items cost $50.70. One item can be found in the key in a second and re-worked while it is still fresh.

Every generated sheet carries its own key on a separate printed page, which lets a child self-mark without seeing the answers while they work.

How to print this worksheet

If the problems look cramped, drop the count from 20 to a smaller number before printing these 6th grade ratio worksheets; the font stays the same size and the spacing opens up.

Printing works the same on US Letter and A4, because the layout uses relative widths rather than fixed inches. Set margins to default and scaling to 100%, and all 20 problems fit.

Frequently asked questions

Can I change how many problems are on the page?
Yes — the generator takes 10, 20 or 30 problems. Twenty is the default because it fits one page and suits a 12-minute drill.
Will these print correctly on A4?
Yes. These 6th grade ratio worksheets fit both A4 and US Letter without clipping, as long as print scaling is left at 100% and browser headers and footers are switched off.
What is the difference between a ratio and a fraction?
A ratio compares two parts to each other; a fraction compares one part to the whole. Three to four as a ratio means three sevenths of the total, which is where most errors start.
How do I find a unit rate?
Divide so that the second quantity becomes one. Cost per item, miles per hour and words per minute are all the same operation.

One sheet of 6th grade ratio worksheets a day for two weeks will tell you more about where a 6th grader actually stands than any single long assessment.

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Free printable math worksheets from a working math academy director in Korea. Problems come from our own code, not from a published workbook. Every sheet prints on US Letter or A4 with its answer key. All worksheets · Worksheet generator · Korean site
Last updated: 2026-09-13