Worksheets · Geometry

Geometry solving proportions worksheet

Two fractions set equal. Cross-multiply, then solve what is left. The harder level puts a whole expression on top, so the cross-multiplication has to be distributed.

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Pick more than one for a sheet that mixes them.

Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

Sigma Prep · sigmaprep.io/worksheets

Name

Solving Proportions

Date Period

Solve each proportion.

  1. 8a=112−112
  2. 6r=48−120
  3. b−12=−6314
  4. p5=4820
  5. r+27=−10884
  6. m−13=−5533
  7. a+914=143154
  8. 2y=28196
  9. k+98=−70112
  10. n+57=2421
  11. 5v=25−65
  12. 3k=27−27
  13. 7n=70−50
  14. v5=−16870
  15. x14=−684
  16. 3x=36−168
  17. 12n=156−117
  18. 4k=2466
  19. 2b=1290
  20. 11r=132−48

Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

Sigma Prep · sigmaprep.io/worksheets

Name

Solving ProportionsAnswer keyVersion 1

Date Period

Solve each proportion.

  1. 8a=112−112{−8}
  2. 6r=48−120{−15}
  3. b−12=−6314{−8}
  4. p5=4820{12}
  5. r+27=−10884{−11}
  6. m−13=−5533{−4}
  7. a+914=143154{4}
  8. 2y=28196{14}
  9. k+98=−70112{−14}
  10. n+57=2421{3}
  11. 5v=25−65{−13}
  12. 3k=27−27{−3}
  13. 7n=70−50{−5}
  14. v5=−16870{−12}
  15. x14=−684{−1}
  16. 3x=36−168{−14}
  17. 12n=156−117{−9}
  18. 4k=2466{11}
  19. 2b=1290{15}
  20. 11r=132−48{−4}

Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

How to do these

x4=1520

  1. Cross-multiply: 20x = 60.
  2. Divide both sides by 20.

The answer is x=3.

Where students go wrong

Multiplying straight across instead of diagonally. The rule is top-left times bottom-right equals top-right times bottom-left, and getting it the other way round gives an answer that looks fine and is not.

Also called cross multiplying or ratio and proportion.

Questions about these worksheets

Yes. Every solving proportions sheet is free to print and free to download as a PDF. There is no account to make, no email to hand over and no limit on how many you take.

Yes. The answer key prints on a second page, and you can choose whether it shows each question beside its answer or just the answers in a list.

Yes. Print straight from the page, or download the PDF and print that. The sheet is laid out for paper rather than squeezed off a screen, so there is room to work under each question, and the answer key comes out on its own page.

Geometry is usually taken around 9th or 10th grade, though schools vary and plenty of students meet it earlier or later. Pick the difficulty rather than the grade: the easy level suits a first lesson on it, the hard level suits review before a test.

Yes, as many as you like. The questions are built fresh each time rather than picked from a fixed set of files, so pressing Generate gives a new sheet. That is what you want for a second class, a retake, or two students sitting next to each other.

That is the closest comparison, and Kuta Software is good software. It is also paid software you install on a computer. These worksheets run in a browser tab for free, with no account and nothing to install. Like Kuta, the solving proportions questions are generated when you ask for them rather than pulled from a fixed set of files, so two classes never get the same sheet, and the answer key comes with it.

Yes. There are three levels, and you can tick more than one for a sheet that mixes them, in which case the questions come out easiest first. The harder levels are not just larger numbers: they ask for something the easy ones do not.

Multiplying straight across instead of diagonally. The rule is top-left times bottom-right equals top-right times bottom-left, and getting it the other way round gives an answer that looks fine and is not.