Geometry problems generator

Generate high school geometry problems: area, volume, angles, triangles, circles, coordinate geometry, and proofs, written in text. With an answer key.

Free · No account · Up to 40 problems · Answer key included

Tip: Describe the specific skill or topic. The generator calibrates complexity to the grade level you pick.

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What high school geometry covers

Geometry problems are practice items about shapes, angles, measurement, and proof. This generator writes them for high school geometry (9th and 10th grade) or earlier grades, with an answer key. Problems describe each figure in words, since the output has no diagrams.

Geometry topics

Name one topic to keep the set focused:

  • Measurement: area, perimeter, surface area, volume

  • Angles: linear pairs, vertical angles, parallel lines cut by a transversal

  • Triangles: congruence, similarity, special right triangles; quadrilaterals

  • Circles: arcs, chords, inscribed angles, tangents

  • Transformations and coordinate geometry: distance, midpoint, slope, lines, circles

  • Proof

What the problems look like

Because there are no diagrams, problems state the measurements: 'A right triangle has legs of 9 cm and 12 cm. Find the hypotenuse' (15 cm). For proofs, the problem gives the given and prove statements, and students write the proof.

Use cases

Use topic-specific sets during each unit, then mixed sets for semester review; during a proof unit, two proofs a night builds fluency. For a mixed page that gets harder as it goes, use geometry practice problems.

How the math problem generator works

  1. 1

    Describe the set

    The topic and the format, such as two-step equations or fraction word problems about cooking.

  2. 2

    Set the details

    Grade, difficulty, and number of problems. It usually takes 10 to 20 seconds.

  3. 3

    Check and print

    Work a few problems yourself, then print the student copy and the answer key.

What teachers say

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Grading the completed problem sets?

GradeWithAI reads handwritten math from scans or phone photos and gives partial credit under your rubric or answer key. You review each score before it posts.

Grading the completed math work? See how the AI math grader gives partial credit

GradeWithAI grading a handwritten Algebra II quiz with partial credit, showing the scanned student work next to step-by-step AI feedback

Math problem generator FAQ

Questions about this tool? Email john@gradewithai.com.

No. The output is text only. Problems describe each figure with its measurements so students can draw it, which is also practice in turning words into a sketch. If a lesson depends on a specific diagram, draw it on the board or add it to the printed page.

Yes. Ask for 'two-column proofs on triangle congruence' and you get given and prove statements. The answer key lists statements and reasons, so check it against the postulates and theorem names your course uses.

Addition, subtraction, multiplication, division (including long division), fractions, decimals, ratios, percents, pre-algebra, Algebra 1 and 2, and geometry.

Yes. Ask for word problems in the description, and add a context such as sports, animals, or food if you like.

Pick the grade, which sets the kind of numbers and operations, then choose easy, medium, or hard.

Yes. Every problem has an answer, printed on a separate page. Work a few problems yourself before handing the set out, since AI-generated math can contain mistakes.

No. It writes problems. To grade completed work, upload it to GradeWithAI, which reads handwritten math and gives partial credit under your rubric or answer key.

Yes, with no account.

Grade the completed math work

21,000+ teachers use GradeWithAI to grade essays, tests, and handwritten work, and report saving 10+ hours a week.

The free plan grades 25 submissions every 30 days. No credit card.

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Reported by teachers using GradeWithAI, with feedback on every submission they grade.

  • Erin Nordlund
  • Rebecca Ford
  • Ken Brenan
Teachers at 1000+ schools