These equivalent ratios 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. Two of the problems on the sheet as it stands are 5 : 9 = 30 : □ and 7 : 6 = 28 : □ — answers 54 and 24 — and a new set is one click away.
‘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.
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.
The unit rate — what one of something costs or measures — is the most useful form of a ratio, and it is what 7 : 6 = 28 : □ is really asking for.
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.
Because each sheet is new, the scale factor changes from problem to problem instead of settling into a pattern.
These equivalent ratios worksheets are commonly aligned with the ratio and proportional relationships strand for grade 6, and the skill appears in most curricula somewhere around this point.
| # | Problem | Answer | What to check |
|---|---|---|---|
| 1 | 5 : 9 = 30 : □ | 54 | Watch for: ignoring units in a rate |
| 2 | 7 : 6 = 28 : □ | 24 | Check: adding instead of multiplying |
| 3 | 2 : 7 = 4 : □ | 14 | Look at: confusing a ratio with a fraction of the whole |
| 4 | 6 : 2 = 30 : □ | 10 | Ask about: reversing the order |
| 5 | 5 : 8 = 15 : □ | 24 | Watch for: missing an obvious simplification |
| 6 | 2 : 8 = □ : 40 | 10 | Check: scaling only one part |
A good first problem to do together is 5 : 9 = 30 : □, which comes out at 54. Do 5 : 9 = 30 : □ once with the child narrating, then hand over the pencil and start the clock on the other 20 problems.
Work 6 : 2 = 30 : □ out loud as a demonstration. It gives 10. Children who hear 6 : 2 = 30 : □ reasoned through once at the start of a session make noticeably fewer errors in the ten minutes that follow.
Keys are produced by the same code that produces the questions, so a mismatch between question and answer is not possible on these sheets.
Answers appear next to their question numbers, so a wrong item like 7 : 6 = 28 : □ can be found in the key in a second and re-worked while it is still fresh.
To save these equivalent ratios worksheets instead of printing them, choose 'Save as PDF' in the printer list. You get the worksheet and the answer key as a single PDF, on Letter or A4 depending on your printer settings.
Portrait orientation is what the sheet is designed for. Landscape works but wastes about a third of the paper, so leave the orientation alone unless you have a reason.
One sheet of equivalent ratios worksheets a day for two weeks will tell you more about where a child working at this level actually stands than any single long assessment.
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