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Grade 7 · Year 8 · Class 7 · ages 12–13

Number puzzles with equations worksheets.

Free printable number puzzles with equations worksheets with answer keys. Undoing 'I think of a number…' to find it. Choose the level and the number of questions, then download a PDF or print.

  • Grade 7
  • Year 8 · Class 7
  • Ages 12–13
  • PDF + print
  • Answer key
  • Free
Level
Questions
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Sheet 34733. Change the options above or make a new worksheet.

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Number puzzles with equations

Grade 7 · Medium · 12 questions · Sheet 34733

Name Date Score / 12

  1. 1.I think of a number, multiply it by 5 and add 10. The result is 35. The number is
  2. 2.I think of a number, multiply it by 6 and subtract 9. The result is 9. The number is
  3. 3.I think of a number, multiply it by 4 and subtract 10. The result is 10. The number is
  4. 4.I think of a number, multiply it by 3 and add 9. The result is 33. The number is
  5. 5.I think of a number, multiply it by 4 and subtract 2. The result is 22. The number is
  6. 6.I think of a number, multiply it by 7 and add 5. The result is 138. The number is
  7. 7.I think of a number, multiply it by 5 and add 14. The result is 89. The number is
  8. 8.I think of a number, multiply it by 7 and subtract 1. The result is 34. The number is
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Number puzzles with equations

Grade 7 · Medium · 12 questions · Sheet 34733

Name Date Score / 12

  1. 9.I think of a number, multiply it by 5 and subtract 12. The result is 48. The number is
  2. 10.I think of a number, multiply it by 3 and add 11. The result is 56. The number is
  3. 11.I think of a number, multiply it by 7 and add 2. The result is 44. The number is
  4. 12.I think of a number, multiply it by 8 and add 12. The result is 156. The number is
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About number puzzles with equations worksheets

Undoing 'I think of a number…' to find it. This worksheet maker is aimed at Grade 7 (Year 8, Class 7) (ages 12–13) and makes new questions every time, with the answers worked out by a maths engine.

Teaching tip

Work backwards: undo the last step first, then the step before it.

What the three levels look like

  • Easy: I think of a number, multiply it by 5 and add 2. The result is 27. The number is ___
  • Medium: I think of a number, multiply it by 3 and add 2. The result is 20. The number is ___
  • Challenge: I think of a number, multiply it by 7 and add 19. The result is 33. The number is ___

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FAQ

Number puzzles with equations worksheets: questions

What grade are number puzzles with equations worksheets for?

Number puzzles with equations is usually taught around Grade 7 (Year 8, Class 7), for ages 12–13. Every grade has an easy, medium and challenge level, so you can go back to an earlier level or push ahead.

Do these number puzzles with equations worksheets include an answer key?

Yes. Press Download PDF with the answer key switched on and the last page lists every answer. Turn the key off for a clean student copy.

Can I make a new worksheet with different questions?

Yes. Press New worksheet for a fresh set of questions. Each sheet has a sheet number printed on it; open this page with the same level, question count and number to get exactly the same sheet again.

How do I help a child who finds number puzzles with equations hard?

Work backwards: undo the last step first, then the step before it. Start with the easy level, and practise a few minutes every day rather than one long session.

What is the first rule for solving equations?

Whatever you do to one side of the equation you must do to the other. Undo adding with subtracting and multiplying with dividing. Our Equation Balance game shows this on a balance scale.

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