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Unit Rates - Worksheet 8 - 6th Grade

Hard

Use equivalent ratios and unit rates to solve proportional relationships.

hard: Use two steps or reverse a relationship.

23 problems · 15-20 minutes · Skills: ratios, division, problem solving

About This Worksheet

This hard-level worksheet contains 23 problems designed for 6th Grade students practicing unit rates. Hard worksheets feature challenging problems including multi-step questions, missing values, and real-world applications to push students further.

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: 4 identical notebooks cost $16. What is the cost per notebook?
Solution Steps:
  1. Divide the total cost by the number of notebooks.
Answer: 4 dollars per notebook
Tip: Check your result using the method in the example before moving to the next question.
1
3 identical notebooks cost $24. What is the cost per notebook?
2
8 identical notebooks cost $120. What is the cost per notebook?
3
7 identical notebooks cost $105. What is the cost per notebook?
4
2 identical notebooks cost $12. What is the cost per notebook?
5
5 identical notebooks cost $105. What is the cost per notebook?
6
3 identical notebooks cost $33. What is the cost per notebook?
7
7 identical notebooks cost $21. What is the cost per notebook?
8
2 identical notebooks cost $40. What is the cost per notebook?
9
8 identical notebooks cost $152. What is the cost per notebook?
10
2 identical notebooks cost $6. What is the cost per notebook?
11
3 identical notebooks cost $6. What is the cost per notebook?
12
5 identical notebooks cost $25. What is the cost per notebook?
13
7 identical notebooks cost $42. What is the cost per notebook?
14
2 identical notebooks cost $46. What is the cost per notebook?
15
3 identical notebooks cost $30. What is the cost per notebook?
16
6 identical notebooks cost $102. What is the cost per notebook?
17
2 identical notebooks cost $36. What is the cost per notebook?
18
4 identical notebooks cost $20. What is the cost per notebook?
19
8 identical notebooks cost $128. What is the cost per notebook?
20
6 identical notebooks cost $84. What is the cost per notebook?
21
2 identical notebooks cost $22. What is the cost per notebook?
22
5 identical notebooks cost $120. What is the cost per notebook?
23
2 identical notebooks cost $30. What is the cost per notebook?

Answer Key

1. 8 dollars per notebook2. 15 dollars per notebook3. 15 dollars per notebook4. 6 dollars per notebook5. 21 dollars per notebook6. 11 dollars per notebook7. 3 dollars per notebook8. 20 dollars per notebook9. 19 dollars per notebook10. 3 dollars per notebook11. 2 dollars per notebook12. 5 dollars per notebook13. 6 dollars per notebook14. 23 dollars per notebook15. 10 dollars per notebook16. 17 dollars per notebook17. 18 dollars per notebook18. 5 dollars per notebook19. 16 dollars per notebook20. 14 dollars per notebook21. 11 dollars per notebook22. 24 dollars per notebook23. 15 dollars per notebook

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Frequently Asked Questions

How do I download this unit rates - worksheet 8 worksheet?

Click "Download PDF" for a file, or "Print" to use your browser. You can save it as a PDF or print it directly. The answer key will be on a separate page.

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, division, 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 23 problems. It typically takes 15-20 minutes to complete. An answer key with all solutions is included so parents and teachers can check work quickly.