Equivalent ratios · grade 6
Equivalent Ratio Table Worksheet Generator
Generate two-row ratio tables with one missing entry. Every column is an exact multiple of the same reduced ratio, so students can scale up, scale down, or use a unit relationship without pattern noise.
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Equivalent Ratio Tables
Equivalent ratio tables · Medium whole numbers · Seed 261401
How to fill in an equivalent ratio table
A ratio table lists pairs of quantities that stay in the same ratio. Every row comes from another row by multiplying or dividing both numbers by the same factor, so the relationship between the two columns never changes. To find a missing value, look at two entries in one row or column, find the factor that connects them, and apply the same factor to the other quantity. Adding the same number to both quantities does not keep a ratio equal.
Worked examples
- A recipe uses 2 cups of flour for 3 cups of water. Doubling both gives 4 and 6, and tripling both gives 6 and 9. Each new row multiplies both numbers by the same factor.
- Find the missing value: flour 2, 4, 10 and water 3, 6, __. The factor from 2 to 10 is 5, so the missing water amount is 3 × 5 = 15.
- Scaling down: 12 to 20 is the same ratio as 3 to 5, because both numbers divide by 4.
- Checking a table: 4 to 6, 6 to 9, 8 to 11. Going from 4 to 8 doubles the first number, so the second should double too: 6 × 2 = 12, not 11. This is not an equivalent ratio table.
Common slips
- Adding the same amount to both numbers. 2 to 3 becomes 4 to 5 by adding 2, but doubling gives 4 to 6, so 4 to 5 is a different ratio.
- Scaling only one column. If the first number is multiplied by 5, the second must be multiplied by 5 as well.
- Comparing differences instead of factors. 3 to 5 and 12 to 20 have different differences (2 and 8) but the same ratio.
- Reading the ratio backward. 2 cups of flour to 3 cups of water is not the same as 3 to 2.
How to use this worksheet
Ask students to write the multiplier beside each column step (for example × 5) before filling the blank. The answer key shows the completed row, so a wrong answer can be traced to the wrong factor.
Common Core connection
- 6.RP.A.3.a · Make tables of equivalent ratios and use them to solve ratio problems.
A practical match for the skill this worksheet practises, not a claim that one worksheet teaches or assesses the whole standard. Check the official math standards.
Ask students to name the multiplier between a known pair of columns before filling the blank.
A ratio table is not just an additive pattern; corresponding entries must preserve one multiplicative relationship.
After students can scale whole-number tables, connect the same structure to unit rate and constant of proportionality.
Model it: with 3 cups flour to 2 eggs, the column showing 12 cups pairs with 8 eggs because the multiplier 4 applies to both rows.
Watch for additive thinking. A student who fills 3, 6, 9 in one row and 2, 3, 4 in the other has added instead of scaled; row two divided by row one should be constant in every filled column.
Mix simplifying, tables, unit rates, proportions, and percent proportions in one generator.
Connect ratios to percents →Practice part / whole = percent / 100 after equivalent ratios are secure.
More skills in this set
Questions people ask
Does every table keep the same ratio?
Yes. Both rows are generated from one coprime base pair and a set of whole-number scale factors.
Which standard does this practice?
CCSS 6.RP.A.3a: make tables of equivalent ratios, find missing values, and plot the pairs.
Can students scale down as well as up?
Yes. Because either row can hold the blank, some problems require dividing both rows to reach a smaller equivalent column.
Which row can contain the blank?
Either row can be missing one value, so students practice reasoning in both directions.
Are table values exact whole numbers?
Yes. These table problems use whole-number equivalent ratios without hidden rounding.
Can I download Letter or A4?
Yes. Both paper sizes are available with an optional answer-key page.