About this worksheet
Common Core standard 6.RP.3.a: Make tables of equivalent ratios relating quantities with whole number measurements, find missing values in the tables, and plot the pairs of values on the coordinate plane. Use tables to compare ratios.
This printable practice page focuses on Equivalent ratios and proportional reasoning, a core skill in the Grade 6 Ratios & Proportional Reasoning strand. It is laid out in a clean single-column format that prints on a standard letter-size sheet. Use it as a do-now, an in-class practice page, an exit ticket, or take-home homework. For more on this skill, see our classroom guide to teaching Equivalent ratios and proportional reasoning.
The ratio of cats to dogs is 3:5. If there are 12 cats, how many dogs are there?
Solution. 12 ÷ 3 = 4, so the scale factor is 4. Multiply: 5 × 4 = 20 dogs.
Answer: 20
Practice Problems — 6.RP.3.a
Name: ______________________ Date: __________
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The ratio of red to blue marbles is 5:8. If there are 40 red marbles, how many blue marbles are there? Answer: ____________
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The ratio of red to blue marbles is 7:2. If there are 42 red marbles, how many blue marbles are there? Answer: ____________
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The ratio of red to blue marbles is 9:6. If there are 18 red marbles, how many blue marbles are there? Answer: ____________
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The ratio of red to blue marbles is 8:2. If there are 32 red marbles, how many blue marbles are there? Answer: ____________
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The ratio of red to blue marbles is 8:9. If there are 64 red marbles, how many blue marbles are there? Answer: ____________
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The ratio of red to blue marbles is 6:5. If there are 48 red marbles, how many blue marbles are there? Answer: ____________
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The ratio of red to blue marbles is 9:7. If there are 63 red marbles, how many blue marbles are there? Answer: ____________
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The ratio of red to blue marbles is 3:5. If there are 21 red marbles, how many blue marbles are there? Answer: ____________
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The ratio of red to blue marbles is 6:8. If there are 30 red marbles, how many blue marbles are there? Answer: ____________
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The ratio of red to blue marbles is 4:6. If there are 28 red marbles, how many blue marbles are there? Answer: ____________
Answer Key
- 64
- 12
- 12
- 8
- 72
- 40
- 49
- 35
- 40
- 42
How to use this in class
Print one copy per student on standard letter-size paper. The page is sized so a student can complete it in roughly 14 minutes of focused work. If you are pacing a 45-minute math block, this page works well as a do-now while you take attendance, as guided practice after a 10-minute mini-lesson, or as an end-of-class exit ticket. For small-group instruction, project the page on your board, work the first item together as a think-aloud, then have students complete two more independently while you confer. Pair this page with a concrete-pictorial-abstract progression when introducing the skill for the first time.
How to use this at home
Sit beside your child rather than across from them. Read the standard description above out loud once before they start. Resist the urge to correct as they go — let them finish the page, then circle two or three items you want to revisit together. Most parents find that one printable a day, three or four days a week, is enough to keep a child fluent without making math feel like a chore.
Standards alignment & what comes next
This page is aligned to Common Core standard 6.RP.3.a in the Ratios & Proportional Reasoning strand for Grade 6. The skill connects upward to later-grade work in the same strand and downward to the prerequisites students should have already mastered. If your district uses a different framework, the standard text above will help you map this page into your scope-and-sequence document. For deeper background on the standard's progression, see the Common Core Math Standards progression document.
Teacher / Parent Note
The questions here are randomly seeded from a deterministic generator, so each standard's worksheet is unique but reproducible. If you reload the page you will see the same problem set — perfect for printing the same copy for an absent student a week later. Difficulty: Mastery.
More Ratios & Proportional Reasoning printables
6.RP.1 Percent Problems — Grade 6 Ratios & Proportional Reasoning (Set A)
Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities.
6.RP.1 Unit Rate Practice — Grade 6 Ratios & Proportional Reasoning (Set B)
Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities.
6.RP.2 Percent Problems — Grade 6 Ratios & Proportional Reasoning (Set A)
Understand the concept of a unit rate a/b associated with a ratio a:b with b ≠ 0, and...
6.RP.2 Ratio Tables — Grade 6 Ratios & Proportional Reasoning (Set B)
Understand the concept of a unit rate a/b associated with a ratio a:b with b ≠ 0, and...
Also in Grade 6
6.EE.1 Inequality Practice — Grade 6 Expressions & Equations (Set A)
Write and evaluate numerical expressions involving whole-number exponents.
6.EE.1 Solve Equations — Grade 6 Expressions & Equations (Set B)
Write and evaluate numerical expressions involving whole-number exponents.
6.EE.2 Solve Equations — Grade 6 Expressions & Equations (Set A)
Write, read, and evaluate expressions in which letters stand for numbers.
6.EE.2 Inequality Practice — Grade 6 Expressions & Equations (Set B)
Write, read, and evaluate expressions in which letters stand for numbers.