Ratio Word Problems - Worksheet 7 - 6th Grade

Medium

Use equivalent ratios and unit rates to solve proportional relationships.

medium: Find missing values in equivalent ratios.

12 problems · 20-30 minutes · Skills: ratios, problem solving

About This Worksheet

This medium-level worksheet contains 12 problems designed for 6th Grade students practicing ratio word problems. Medium worksheets introduce larger numbers and varied question formats to deepen understanding and build fluency.

Multiply, divide and simplify fractions. Read quantities with their units.

  • Use equivalent ratios and unit rates to solve proportional relationships.
  • Check your result using the method in the example before moving to the next question.

How to Solve: Worked Example

Example Problem: A paint mixture uses 4 cups of blue paint for every 7 cups of white paint. How many cups of white paint are needed with 16 cups of blue paint?
Solution Steps:
  1. The blue amount is scaled by 4.
  2. Scale the white amount by 4 too.
Answer: 28 cups
Tip: Check your result using the method in the example before moving to the next question.
1
A paint mixture uses 3 cups of blue paint for every 9 cups of white paint. How many cups of white paint are needed with 33 cups of blue paint?
2
A paint mixture uses 8 cups of blue paint for every 2 cups of white paint. How many cups of white paint are needed with 112 cups of blue paint?
3
A paint mixture uses 4 cups of blue paint for every 2 cups of white paint. How many cups of white paint are needed with 12 cups of blue paint?
4
A paint mixture uses 8 cups of blue paint for every 9 cups of white paint. How many cups of white paint are needed with 72 cups of blue paint?
5
A paint mixture uses 5 cups of blue paint for every 6 cups of white paint. How many cups of white paint are needed with 55 cups of blue paint?
6
A paint mixture uses 7 cups of blue paint for every 8 cups of white paint. How many cups of white paint are needed with 56 cups of blue paint?
7
A paint mixture uses 5 cups of blue paint for every 8 cups of white paint. How many cups of white paint are needed with 35 cups of blue paint?
8
A paint mixture uses 5 cups of blue paint for every 2 cups of white paint. How many cups of white paint are needed with 65 cups of blue paint?
9
A paint mixture uses 7 cups of blue paint for every 4 cups of white paint. How many cups of white paint are needed with 28 cups of blue paint?
10
A paint mixture uses 8 cups of blue paint for every 2 cups of white paint. How many cups of white paint are needed with 64 cups of blue paint?
11
A paint mixture uses 5 cups of blue paint for every 2 cups of white paint. How many cups of white paint are needed with 15 cups of blue paint?
12
A paint mixture uses 6 cups of blue paint for every 8 cups of white paint. How many cups of white paint are needed with 18 cups of blue paint?

Answer Key

1. 99 cups2. 28 cups3. 6 cups4. 81 cups5. 66 cups6. 64 cups7. 56 cups8. 26 cups9. 16 cups10. 16 cups11. 6 cups12. 24 cups

Frequently Asked Questions

How do I download this ratio word problems - worksheet 7 worksheet?

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How do I find worksheets at different difficulty levels?

Each subtopic has 10 worksheets: Worksheets 1-3 are Easy, 4-7 are Medium, and 8-10 are Hard. Start with Easy worksheets to build confidence, then progress to harder ones.

What skills does this ratios and proportional relationships worksheet cover?

This worksheet focuses on ratios, problem solving. It is designed for 6th Grade students and provides structured practice through varied problem types with a worked example to guide students before they begin.

Can I use this worksheet in my classroom?

Yes. All worksheets on K12Worksheets are free for classroom use. You can print copies for your entire class. With 10 worksheets per subtopic at three difficulty levels, you have plenty of options for differentiated instruction and individualized practice.

How many problems are on this worksheet?

This worksheet contains 12 problems. It typically takes 20-30 minutes to complete. An answer key with all solutions is included so parents and teachers can check work quickly.