Ratios
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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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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Write two equivalent ratios for each table. Decide whether each pair has the same value. Then use equivalent ratios to find each unknown term.
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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
Use multiplicative reasoning to create, recognize and complete equivalent ratios.
Worked example
Write two ratios equivalent to 2:5, then solve 2/5 = x/20.
Examples: 4:10 and 6:15. The missing value is x = 8.
Multiply both terms by the same positive factor. To change the denominator from 5 to 20, multiply by 4; the numerator must also be multiplied by 4. Other correctly scaled ratios are valid examples.
Teaching notes
Make the practice count
- Keep the top and bottom entries in each table column together.
- For an equivalence decision, simplify both ratios or compare their cross-products.
- An additive change usually does not preserve a ratio: 2:5 and 3:6 are not equivalent.
- The answer key gives examples for the open-ended tables; different correct equivalents should also be accepted.
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