Resources/Proportions practice
Grades 7-8•Printable worksheet + answer key•CC0 license

Proportions practice

A printable lesson for solving proportions.

Students solve for missing values using equivalent ratios and cross multiplication.

Print-ready worksheet with answer key and quick teaching tips.

Grades 7-80 problems10 minAnswer key included
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Ready-to-teach

Clear steps, examples, and practice in one printable page.

Misconception-proof

Highlights common mistakes and how to fix them quickly.

Open license

CC0: free to copy, adapt, and share without attribution.

Quick overview

This free proportions worksheet for grades 7-8 builds confidence solving real-world ratio problems.

Lesson plan snapshot

12-18 min
  • Warm-up (3 min): review ratio tables.
  • Model (5 min): solve the worked example together.
  • Guided practice (4 min): complete problems 1-4 as a group.
  • Independent practice (6 min): finish the remaining problems.

Materials: pencil, scratch paper

Learning targets

  • Solve proportions with equivalent ratios.
  • Use cross multiplication to find missing values.
  • Check answers with estimation.

Step-by-step approach

  1. 1Write the proportion as two equal ratios.
  2. 2Cross multiply to create an equation.
  3. 3Solve for the unknown value.
  4. 4Check by simplifying both ratios.

Common mistakes

Mistake

Cross multiplying the wrong terms.

Try instead

Multiply diagonally across the equals sign.

Mistake

Not keeping ratios in the same order.

Try instead

Match corresponding parts before solving.

Mistake

Forgetting to simplify the result.

Try instead

Reduce the ratio to check your answer.

Worked example

Guided
Solve 3/4 = x/12.
  1. Cross multiply: 3 × 12 = 4 × x.
  2. 36 = 4x.
  3. x = 9.
Answer: 9

Related resources

Ratios

Unit rates and ratio tables practice.

View resource

Percent change

Percent increase and decrease problems.

View resource

Equations

Solve two-step equations.

View resource

Practice problems

16 problems • 24 min

Printable worksheet
  1. 1
    Solve: 53=x15\frac{5}{3} = \frac{x}{15}
  2. 2
    Complete the table: 5:8 = 25:x
  3. 3
    Solve: 97=x28\frac{9}{7} = \frac{x}{28}
  4. 4
    Complete the table: 6:5 = 36:x
  5. 5
    Solve: 95=x10\frac{9}{5} = \frac{x}{10}
  6. 6
    Complete the table: 2:6 = 10:x
  7. 7
    Solve: 26=x24\frac{2}{6} = \frac{x}{24}
  8. 8
    Complete the table: 2:7 = 6:x
  9. 9
    Solve: 37=x14\frac{3}{7} = \frac{x}{14}
  10. 10
    Complete the table: 3:7 = 12:x
  11. 11
    Solve: 48=x24\frac{4}{8} = \frac{x}{24}
  12. 12
    Complete the table: 2:8 = 10:x
  13. 13
    Solve: 52=x10\frac{5}{2} = \frac{x}{10}
  14. 14
    Complete the table: 4:6 = 16:x
  15. 15
    Solve: 87=x35\frac{8}{7} = \frac{x}{35}
  16. 16
    Complete the table: 4:3 = 24:x

Answer key

16 answers
  1. 11) 25
  2. 22) 40
  3. 33) 36
  4. 44) 30
  5. 55) 18
  6. 66) 30
  7. 77) 8
  8. 88) 21
  9. 99) 6
  10. 1010) 28
  11. 1111) 12
  12. 1212) 40
  13. 1313) 25
  14. 1414) 24
  15. 1515) 40
  16. 1616) 18

Teacher tips

  • TUse ratio tables before introducing cross multiplication.
  • TAsk students to label the units of each ratio.
  • THave students check answers by simplifying.

Parent tips

  • PConnect proportions to recipes or scale models.
  • PPractice setting up equal ratios with real examples.
  • PEncourage your child to estimate first.

Open license

You are free to copy, adapt, and share these materials. No attribution required. Released under Creative Commons CC0 1.0 (public domain).