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Worksheets›Grade 7›Proportions & percents›Solving proportions

Solving Proportions Worksheets

Free printable worksheets with answer keys. Pick a level, preview the questions, then open the sheet to swap or delete any single question.

Grade 7CCSS 7.RP.A.2Answer key includedPDF · Print
Open in generatorStart with an easy sheet

Easy: Missing numerator, whole-number scale

  1. 1.x15 = 5635
  2. 2.x4 = 1824
  3. 3.x21 = 2849
  4. 4.x12 = 2024
  5. 5.x6 = 4016
  6. 6.x4 = 148
Preview shows 6 of 12 questions. Every sheet is new; open it to change any question.

Worksheet variations

In a proportion the cross products are equal. Multiply diagonally, then divide to isolate the variable.

Easyx14 = 3642Missing numerator, whole-number scaleMedium69 = x6Missing value in any positionHardx + 825 = 4235Expressions in the numerator

How to solve it: a worked example

Solve each proportion.

  1. Startx12 = 784
  2. Cross-multiply84x = 84
  3. Thenx = 84 ÷ 84 = 1
  4. Answerx = 1

Common mistakes to watch for

  • Multiplying straight across instead of diagonally.
  • Setting up the second ratio upside down.
  • Forgetting to divide after cross-multiplying.

Tip: tick “Step-by-step answer key” in the generator to print each step for marking.

Related worksheets

Percent increase & decreaseAdding & subtracting integersMultiplying & dividing integersOperations with rational numbersCombining like terms

FAQ

Is every worksheet different?

Yes. Numbers are generated each time, and the answer key is calculated for that sheet. Swap any single question and its answer updates too.

Can I mix solving proportions with other skills?

Yes. In the generator, add more skills; each gets its own section on the sheet with its own instructions.

Is it free to print?

Yes. Generating and printing from the browser is free with no sign-up. PDF downloads need a free account.