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Free Year 9 Geometry Worksheets

5 free geometry resources for Year 9: 3 worksheets, 2 study guides. Answers included.

Shapes, angles, transformations and trigonometry. In Year 9, Year 9 students solve more complex equations, work with linear graphs, meet Pythagoras' theorem and trigonometry, and expand binomials.

Students will practise: understanding the relationship c[sup 2] = a[sup 2] + b[sup 2] in a right-angled triangle; identifying the hypotenuse; finding the hypotenuse and a shorter side; testing whether a triangle is right-angled; understanding how to label the hypotenuse, opposite and adjacent sides relative to an angle; choosing the correct trigonometric ratio from the sides involved; finding an unknown side length in a right-angled triangle; finding an unknown angle using inverse sine, cosine and tangent.

Recommended learning path

  1. 1Pythagoras' Theorem Explained
  2. 2Trigonometry Cheat Sheet: SOH CAH TOA
Type:
Level:

Worksheets

Printable practice with an answer sheet.

  • Worksheet

    Year 9 Pythagoras' Theorem Worksheet — Level 1

    Find the hypotenuse or a shorter side of a right-angled triangle. Builds confidence with the core skill before adding complexity. This…

    Difficulty
    Level 1 · Easier
    Time
    20 min
    Questions
    8 questions
    Answers
    Answers included
  • Worksheet

    Year 9 Trigonometry (Finding Sides) Worksheet — Level 1

    Use sine, cosine and tangent to find unknown sides in right-angled triangles. Builds confidence with the core skill before adding…

    Difficulty
    Level 1 · Easier
    Time
    20 min
    Questions
    8 questions
    Answers
    Answers included
  • Worksheet

    Year 9 Pythagoras' Theorem Worksheet — Level 2

    Find the hypotenuse or a shorter side of a right-angled triangle. Expected-level practice for this year group. This Year 9 worksheet has 8…

    Difficulty
    Level 2 · Standard
    Time
    20 min
    Questions
    8 questions
    Answers
    Answers included

Study Guides

Clear explanations, examples and tips.

  • Study Guide

    Pythagoras' Theorem Explained

    Explains Pythagoras' theorem for right-angled triangles, how to find the hypotenuse, how to find a shorter side, and how to test whether a…

    Difficulty
    Level 2 · Standard
    Time
    20 min

Cheat Sheets

Formulas and rules at a glance.

  • Cheat Sheet

    Trigonometry Cheat Sheet: SOH CAH TOA

    A compact reference for right-angled triangle trigonometry in Year 9: labelling the opposite, adjacent and hypotenuse, choosing sine,…

    Difficulty
    Level 2 · Standard
    Time
    20 min

Common questions

What do Year 9 students learn about geometry?

Shapes, angles, transformations and trigonometry. At Year 9, our resources focus on: understanding the relationship c[sup 2] = a[sup 2] + b[sup 2] in a right-angled triangle; identifying the hypotenuse; finding the hypotenuse and a shorter side; testing whether a triangle is right-angled.

Where should we start?

Read the study guide first, then start with the Level 1 or Level 2 worksheet. Finish with the topic test.

Are answers included?

Yes — every worksheet has an answer sheet. Maths answer sheets show the working; English tasks include model answers or success criteria.

How to use these resources

  1. Start with the Level 1 worksheet for the topic — if it's easy, move up a level.
  2. Use the answer sheet's working, not just the final answer, to check the method.
  3. Finish a topic with the topic test to see whether the skill is secure.
  4. Two or three short sessions a week beat one long one.

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