WorksheetYear 9Level 1 · Easier

Free 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 complexity. This Year 9 worksheet has 8 questions and comes with a full answer sheet showing the working for every question.

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Year: Year 9
Subject: Mathematics
Topic: Trigonometry
Difficulty: Level 1 · Easier
Estimated time: 20 minutes
Curriculum: England National Curriculum
Questions: 8
Answers: Included, with working
Format: PDF (A4) + print

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 1

Ready for more? Move on to Year 10 Mathematics.

How to use this worksheet

Print the PDF or complete it on screen. Write the student's name and date at the top.
Read the instructions for each part together before starting. Encourage working to be shown, not just answers.
Mark with the answer sheet. Compare the method, not only the final answer, and give credit for correct working.
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 1 · easier.

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 9 mathematics resources.

Year 9 · Mathematics · Trigonometry

Year 9 Trigonometry (Finding Sides) Worksheet — Level 1

Success Tutoring

Student 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 26 cm and one angle is 66°. Find the side opposite the 66° angle, to 1 decimal place.

2.In a right-angled triangle, the hypotenuse is 18 cm and one angle is 45°. Find the side opposite the 45° angle, to 1 decimal place.

3.In a right-angled triangle, the hypotenuse is 25 cm and one angle is 48°. Find the side opposite the 48° angle, to 1 decimal place.

4.In a right-angled triangle, the hypotenuse is 26 cm and one angle is 70°. Find the side opposite the 70° angle, to 1 decimal place.

5.In a right-angled triangle, the hypotenuse is 12 cm and one angle is 27°. Find the side opposite the 27° angle, to 1 decimal place.

6.In a right-angled triangle, the hypotenuse is 11 cm and one angle is 70°. Find the side opposite the 70° angle, to 1 decimal place.

7.In a right-angled triangle, the hypotenuse is 30 cm and one angle is 50°. Find the side opposite the 50° angle, to 1 decimal place.

8.In a right-angled triangle, the hypotenuse is 26 cm and one angle is 67°. Find the side opposite the 67° angle, to 1 decimal place.

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

Trigonometry in other year levels

Year 10 Trigonometry (Finding Sides) Worksheet — Level 2
Worksheet · Year 10 · Trigonometry · Level 2 · Standard

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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

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