Ratios
Equivalent ratios: tables, comparisons and missing values
Practice eighteen equivalent-ratio questions in three formats: complete ratio tables, decide whether pairs are equivalent, and solve missing-value proportions.
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Complete rows of equivalent ratios
Fill missing terms in ten rows of six equivalent ratios. Choose consecutive or gapped scale factors and ordered or shuffled practice, with printable answer keys.
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Use the complete ratio in each row to find every missing term. Every ratio in that row must represent the same relationship.
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Ready-made English PDFs are available in Letter and A4, with student-only and separate-answer options. The image previews show the first page; downloads include every page.
Use the generator to change the available question settings, paper, language, teacher note or seed. Tables offer three or six problems. Equivalent rows let you change order and gaps independently.
Learning objective
What this activity builds
Recover missing ratio terms using a fixed multiplicative relationship rather than relying only on a visible sequence.
Worked example
Complete 2:3 = 4:__ = __:12.
4:6 and 8:12.
The first pair is doubled, so 3 becomes 6. In the second pair, 3 has been multiplied by 4, so 2 becomes 8. Each missing value follows from its partner, even when the list is shuffled.
Teaching notes
Make the practice count
- Begin with ordered consecutive ratios to make the common scale factors visible.
- Add gaps to prevent students from assuming that every step uses the next consecutive factor.
- Shuffle the ratios when learners are ready to derive each answer independently.
- Use the complete anchor and the known term in each pair to check every result.
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