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Tape Diagrams - Worksheet 10 - 6th Grade

Hard

Use equal-size boxes to represent ratios and find the amount in each group.

hard: Use two steps or reverse a relationship.

15 problems · 20-30 minutes · Skills: ratios, visual models, problem solving

About This Worksheet

This hard-level worksheet contains 15 problems designed for 6th Grade students practicing tape diagrams. 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 equal-size boxes to represent ratios and find the amount in each group.
  • Check your result using the method in the example before moving to the next question.

How to Solve: Worked Example

Example Problem: The upper strip represents red beads (4 equal boxes); the lower strip represents blue beads (7 equal boxes). There are 16 red beads. How many blue beads are there?
Solution Steps:
  1. Every box represents the same number of beads.
  2. One box is 16 ÷ 4 = 4.
  3. Blue has 7 boxes: 7 × 4 = 28.
Answer: 28 beads
Tip: Check your result using the method in the example before moving to the next question.
1
The upper strip represents red beads (3 equal boxes); the lower strip represents blue beads (3 equal boxes). There are 51 red beads. How many blue beads are there?
Red: 51Blue: ?
Diagram not to scale.
2
The upper strip represents red beads (2 equal boxes); the lower strip represents blue beads (2 equal boxes). There are 8 red beads. How many blue beads are there?
Red: 8Blue: ?
Diagram not to scale.
3
The upper strip represents red beads (6 equal boxes); the lower strip represents blue beads (8 equal boxes). There are 90 red beads. How many blue beads are there?
Red: 90Blue: ?
Diagram not to scale.
4
The upper strip represents red beads (3 equal boxes); the lower strip represents blue beads (4 equal boxes). There are 45 red beads. How many blue beads are there?
Red: 45Blue: ?
Diagram not to scale.
5
The upper strip represents red beads (4 equal boxes); the lower strip represents blue beads (5 equal boxes). There are 32 red beads. How many blue beads are there?
Red: 32Blue: ?
Diagram not to scale.
6
The upper strip represents red beads (3 equal boxes); the lower strip represents blue beads (3 equal boxes). There are 36 red beads. How many blue beads are there?
Red: 36Blue: ?
Diagram not to scale.
7
The upper strip represents red beads (4 equal boxes); the lower strip represents blue beads (6 equal boxes). There are 48 red beads. How many blue beads are there?
Red: 48Blue: ?
Diagram not to scale.
8
The upper strip represents red beads (3 equal boxes); the lower strip represents blue beads (2 equal boxes). There are 72 red beads. How many blue beads are there?
Red: 72Blue: ?
Diagram not to scale.
9
The upper strip represents red beads (3 equal boxes); the lower strip represents blue beads (7 equal boxes). There are 72 red beads. How many blue beads are there?
Red: 72Blue: ?
Diagram not to scale.
10
The upper strip represents red beads (3 equal boxes); the lower strip represents blue beads (6 equal boxes). There are 27 red beads. How many blue beads are there?
Red: 27Blue: ?
Diagram not to scale.
11
The upper strip represents red beads (3 equal boxes); the lower strip represents blue beads (6 equal boxes). There are 6 red beads. How many blue beads are there?
Red: 6Blue: ?
Diagram not to scale.
12
The upper strip represents red beads (5 equal boxes); the lower strip represents blue beads (9 equal boxes). There are 105 red beads. How many blue beads are there?
Red: 105Blue: ?
Diagram not to scale.
13
The upper strip represents red beads (3 equal boxes); the lower strip represents blue beads (5 equal boxes). There are 72 red beads. How many blue beads are there?
Red: 72Blue: ?
Diagram not to scale.
14
The upper strip represents red beads (2 equal boxes); the lower strip represents blue beads (6 equal boxes). There are 48 red beads. How many blue beads are there?
Red: 48Blue: ?
Diagram not to scale.
15
The upper strip represents red beads (3 equal boxes); the lower strip represents blue beads (5 equal boxes). There are 12 red beads. How many blue beads are there?
Red: 12Blue: ?
Diagram not to scale.

Answer Key

1. 51 beads2. 8 beads3. 120 beads4. 60 beads5. 40 beads6. 36 beads7. 72 beads8. 48 beads9. 168 beads10. 54 beads11. 12 beads12. 189 beads13. 120 beads14. 144 beads15. 20 beads

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Frequently Asked Questions

How do I download this tape diagrams - worksheet 10 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, visual models, 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 15 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.