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WorksheetYear 11Level 3 · Challenge

Free Year 11 Trigonometry (Finding Sides) Worksheet — Level 3

Use sine, cosine and tangent to find unknown sides in right-angled triangles. A challenge set for students ready to stretch further. This Year 11 worksheet has 8 questions and comes with a full answer sheet showing the working for every question.

Need more practice? Practice Set 2 · Practice Set 3 · Practice Set 4 — same skill, fresh questions, full answers.

Instant download · No sign-up · Free for personal, classroom and homeschool use

Year
Year 11
Subject
Maths
Topic
Trigonometry
Difficulty
Level 3 · Challenge
Estimated time
20 minutes
Curriculum
England National Curriculum
Questions
8
Answers
Included, with working
Format
PDF (A4), print or complete online

Students will practise

  • labelling sides relative to an angle
  • choosing the correct trigonometric ratio
  • finding unknown sides

Curriculum: England National Curriculum. We show specific outcome codes only where they have been verified against the official curriculum document.

What's next?

Completed: Year 11 Trigonometry (Finding Sides) Worksheet — Level 3

Ready for more? Move on to Year 12 Maths.

← Easier: Level 2 · Standard

How to use this worksheet

  1. Print the PDF or complete it on screen. Write the student's name and date at the top.
  2. Read the instructions for each part together before starting. Encourage working to be shown, not just answers.
  3. Mark with the answer sheet. Compare the method, not only the final answer, and give credit for correct working.
  4. Record the score, celebrate what went well, then follow the "What's next" suggestion.

Common questions

Who is this worksheet for?

Year 11 students (typically ages 16–17) working on trigonometry. It is pitched at level 3 · challenge; an easier version is linked above.

Are the answers included?

Yes. The PDF includes a full answer sheet with the working for every question. You can also view the answers online.

How long does it take?

About 20 minutes for 8 questions. Short, regular sessions work best: two or three a week beats one long one.

Do I need to sign up to download?

No. Click Download Free PDF and it opens immediately. It is free for personal, classroom and homeschool use.

What should we do next?

Explore more Year 11 mathematics resources.

Preview

Success TutoringWorksheetsYear 11 · Mathematics · Trigonometry

Year 11 Trigonometry (Finding Sides) Worksheet — Level 3

Name

Date

Score /

Label the sides (opposite, adjacent, hypotenuse), choose the ratio (SOH CAH TOA), then solve.

1.In a right-angled triangle, the side adjacent to a 39° angle is 6 m. Find the opposite side, to 1 decimal place.
2.In a right-angled triangle, the hypotenuse is 18 cm and one angle is 57°. Find the side opposite the 57° angle, to 1 decimal place.
3.In a right-angled triangle, the side adjacent to a 31° angle is 15 m. Find the opposite side, to 1 decimal place.
4.In a right-angled triangle, the side adjacent to a 32° angle is 6 m. Find the opposite side, to 1 decimal place.
5.In a right-angled triangle, the side adjacent to a 22° angle is 11 m. Find the opposite side, to 1 decimal place.
6.In a right-angled triangle, the hypotenuse is 20 cm and one angle is 24°. Find the side opposite the 24° angle, to 1 decimal place.
7.In a right-angled triangle, the side adjacent to a 57° angle is 4 m. Find the opposite side, to 1 decimal place.
8.In a right-angled triangle, the hypotenuse is 8 cm and one angle is 64°. Find the side opposite the 64° angle, to 1 decimal place.
Free worksheets at worksheets.successtutoring.com · © Success Tutoring · Free for personal and classroom use

Preview — the PDF contains the full resource and answer sheet.

More Year 11 trigonometry resources

  • Worksheet

    Year 11 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
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    Questions
    8 questions
    Answers
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  • Worksheet

    Year 11 Trigonometry (Finding Sides) Worksheet — Level 2

    Use sine, cosine and tangent to find unknown sides in right-angled triangles. Expected-level practice for this year group. This Year 11…

    Difficulty
    Level 2 · Standard
    Time
    20 min
    Questions
    8 questions
    Answers
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About this resource

Created by
Success Tutoring Maths Team
Reviewed by
Success Tutoring
Last reviewed
1 October 2026
How it was made
Generated by checked procedures

Free to print and share for personal, classroom and homeschool use. Please don't resell. Spotted an error? Let us know.