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WorksheetYear 9Level 2 · Standard

Free Year 9 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 9 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 9
Subject
Maths
Topic
Trigonometry
Difficulty
Level 2 · Standard
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 9 Trigonometry (Finding Sides) Worksheet — Level 2

  1. 1Year 9 Trigonometry (Finding Sides) Worksheet — Level 3
← Easier: Level 1 · EasierHarder: Level 3 · Challenge →

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 9 students (typically ages 14–15) working on trigonometry. It is pitched at level 2 · standard; an easier version and a harder version are 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?

Try Year 9 Trigonometry (Finding Sides) Worksheet — Level 3.

Preview

Success TutoringWorksheetsYear 9 · Mathematics · Trigonometry

Year 9 Trigonometry (Finding Sides) Worksheet — Level 2

Name

Date

Score /

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

1.In a right-angled triangle, the hypotenuse is 8 cm and one angle is 29°. Find the side adjacent to the 29° angle, to 1 decimal place.
2.In a right-angled triangle, the hypotenuse is 8 cm and one angle is 20°. Find the side adjacent to the 20° angle, to 1 decimal place.
3.In a right-angled triangle, the hypotenuse is 8 cm and one angle is 43°. Find the side adjacent to the 43° angle, to 1 decimal place.
4.In a right-angled triangle, the hypotenuse is 11 cm and one angle is 34°. Find the side adjacent to the 34° angle, to 1 decimal place.
5.In a right-angled triangle, the hypotenuse is 28 cm and one angle is 36°. Find the side adjacent to the 36° angle, to 1 decimal place.
6.In a right-angled triangle, the side adjacent to a 28° angle is 6 m. Find the opposite side, to 1 decimal place.
7.In a right-angled triangle, the hypotenuse is 14 cm and one angle is 31°. Find the side opposite the 31° angle, to 1 decimal place.
8.In a right-angled triangle, the hypotenuse is 7 cm and one angle is 39°. Find the side adjacent to the 39° 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 9 trigonometry resources

  • 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 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…

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

Trigonometry in other year levels

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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.