Tape Diagrams Worksheets

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

Before you begin

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

Worked example

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?

Red: 16Blue: ?
Diagram not to scale.
  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

Check your result using the method in the example before moving to the next question.

Choose your level

  • Easy: Use whole-number rates and small factors.
  • Medium: Find missing values in equivalent ratios.
  • Hard: Use two steps or reverse a relationship.

Questions and answer calculations checked on 2026-09-17. How we check worksheets. Free for personal and classroom use.

Preview and print an easy set

Try six questions below, or choose a full set at your level.

1
The upper strip represents red beads (3 equal boxes); the lower strip represents blue beads (4 equal boxes). There are 15 red beads. How many blue beads are there?
Red: 15Blue: ?
Diagram not to scale.
2
The upper strip represents red beads (6 equal boxes); the lower strip represents blue beads (2 equal boxes). There are 24 red beads. How many blue beads are there?
Red: 24Blue: ?
Diagram not to scale.
3
The upper strip represents red beads (7 equal boxes); the lower strip represents blue beads (6 equal boxes). There are 14 red beads. How many blue beads are there?
Red: 14Blue: ?
Diagram not to scale.
4
The upper strip represents red beads (6 equal boxes); the lower strip represents blue beads (4 equal boxes). There are 24 red beads. How many blue beads are there?
Red: 24Blue: ?
Diagram not to scale.
5
The upper strip represents red beads (6 equal boxes); the lower strip represents blue beads (8 equal boxes). There are 18 red beads. How many blue beads are there?
Red: 18Blue: ?
Diagram not to scale.
6
The upper strip represents red beads (8 equal boxes); the lower strip represents blue beads (8 equal boxes). There are 32 red beads. How many blue beads are there?
Red: 32Blue: ?
Diagram not to scale.

Answer Key

1. 20 beads2. 8 beads3. 12 beads4. 16 beads5. 24 beads6. 32 beads

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