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Free 11th Grade Geometry Worksheets

6 free geometry resources for 11th Grade: 5 worksheets, 1 study guide. Answers included.

Shapes, angles, transformations and trigonometry. 11th grade is the first year of senior study.

Students will practice: converting between degrees and radians; finding exact values of sin, cos and tan for angles in any quadrant using the unit circle; calculating arc length and sector area using radians; solving trigonometric equations on a given domain and identifying amplitude and period; using sin²θ + cos²θ = 1 and the quadrant of θ to find exact trigonometric ratios; simplifying trigonometric expressions with the Pythagorean and quotient identities; solving trigonometric equations in degrees and radians over a given domain; solving equations in 2x and quadratic equations in sin x, using an identity where needed.

Type:
Level:

Worksheets

Printable practice with an answer sheet.

  • Worksheet

    Trigonometric Identities and Equations

    A senior math worksheet on the Pythagorean identity sin²θ + cos²θ = 1 and tan θ = sin θ ÷ cos θ, using them to find exact ratios and…

    Difficulty
    Level 3 · Challenge
    Time
    50 min
    Questions
    16 questions
    Answers
    Answers included
  • Worksheet

    Introduction to Vectors: Components, Magnitude and Direction

    A senior math worksheet introducing vectors in two dimensions: writing vectors in component form with i and j, finding magnitude and…

    Difficulty
    Level 2 · Standard
    Time
    50 min
    Questions
    17 questions
    Answers
    Answers included
  • Worksheet

    11th Grade Trigonometry (Finding Sides) Worksheet — Level 1

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

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

    11th Grade Trigonometry (Finding Sides) Worksheet — Level 2

    Use sine, cosine and tangent to find unknown sides in right triangles. Expected-level practice for this grade. This 11th Grade worksheet…

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

    11th Grade Trigonometry (Finding Sides) Worksheet — Level 3

    Use sine, cosine and tangent to find unknown sides in right triangles. A challenge set for students ready to stretch further. This 11th…

    Difficulty
    Level 3 · Challenge
    Time
    20 min
    Questions
    8 questions
    Answers
    Answers included

Study Guides

Clear explanations, examples and tips.

  • Study Guide

    Trigonometric Functions, Radians and Exact Values

    A senior study guide to radian measure, the exact-value table, the unit circle (ASTC) and the basic trigonometric graphs. Worked examples…

    Difficulty
    Level 3 · Challenge
    Time
    30 min

All geometry worksheets, every grade →

Common questions

What do 11th Grade students learn about geometry?

Shapes, angles, transformations and trigonometry. At 11th Grade, our resources focus on: converting between degrees and radians; finding exact values of sin, cos and tan for angles in any quadrant using the unit circle; calculating arc length and sector area using radians; solving trigonometric equations on a given domain and identifying amplitude and period.

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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