8 cats to 20 dogs
Show answer
2:5
Free printable worksheet
Ratios Worksheet
Twenty ratio problems involving simplification and equivalent forms.
Middle School MathGrades 6-83 pagesAnswer key included
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What this worksheet includes
- Twenty ratio problems involving simplification and equivalent forms.
- 3-page printable PDF with a complete answer key
- Designed for Grades 6-8 middle school math practice
- Available as an immediate free download with no email required
How to use it
Use this ratios worksheet for guided practice, independent review, homework, tutoring sessions, or a quick skills check. The spacious layout is designed to leave room for students to show their work rather than guess from crowded answer choices.
After students finish, compare their reasoning with the included answer key. When an answer is incorrect, have the student locate the first step where their work changed direction before trying the problem again.
Who this practice is for
This resource is designed for grades 6-8 students working on middle school math. Teachers, tutors, homeschool families, and parents can preview the first page before deciding whether the level and spacing fit the student.
Looking for a broader sequence? Browse all Middle School Math worksheets.
Topic guide
How to approach ratios
A ratio compares two quantities in a specified order. It may be written with words, a colon, or a fraction, but the units and order must remain consistent.
Equivalent ratios come from multiplying or dividing both terms by the same nonzero factor. Simplifying reveals the comparison in lowest whole-number terms.
Learning objectives
- Write ratios in multiple forms
- Simplify ratios
- Generate equivalent ratios
Skills to review first
- Multiplication and division
- Greatest common factors
- Fraction notation
Worked example
Follow the reasoning step by step
Simplify the ratio 12 red tiles to 18 blue tiles.
- Write the ordered ratio 12:18.
- Find the greatest common factor, 6.
- Divide both terms by 6.
- Keep red first and blue second.
Solution: 2:3.
Try before downloading
Three sample problems
Work each problem, then open the answer to check your result.
3:7 with first term 12
Show answer
12:28
15 minutes to 1 hour
Show answer
1:4
Error check
Common mistakes to watch for
- Reversing the requested comparison
- Simplifying only one term
- Combining quantities with incompatible units