WorksheetYear 10Level 2 · Standard

Free Year 10 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 10 worksheet has 8 questions and comes with a full answer sheet showing the working for every question.

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Year: Year 10
Subject: Mathematics
Topic: Trigonometry
Difficulty: Level 2 · Standard
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 10 Trigonometry (Finding Sides) Worksheet — Level 2

More resources for this topic are coming soon.

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 10 students (typically ages 15–16) working on trigonometry. It is pitched at level 2 · standard.

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 10 mathematics resources.

Year 10 · Mathematics · Trigonometry

Year 10 Trigonometry (Finding Sides) Worksheet — Level 2

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 23 cm and one angle is 26°. Find the side adjacent to the 26° angle, to 1 decimal place.

2.In a right-angled triangle, the hypotenuse is 29 cm and one angle is 61°. Find the side adjacent to the 61° angle, to 1 decimal place.

3.In a right-angled triangle, the hypotenuse is 19 cm and one angle is 28°. Find the side adjacent to the 28° angle, to 1 decimal place.

4.In a right-angled triangle, the hypotenuse is 22 cm and one angle is 57°. Find the side opposite the 57° angle, to 1 decimal place.

5.In a right-angled triangle, the hypotenuse is 21 cm and one angle is 52°. Find the side adjacent to the 52° angle, to 1 decimal place.

6.In a right-angled triangle, the side adjacent to a 69° angle is 13 m. Find the opposite side, to 1 decimal place.

7.In a right-angled triangle, the side adjacent to a 70° angle is 20 m. Find the opposite side, to 1 decimal place.

8.In a right-angled triangle, the hypotenuse is 28 cm and one angle is 30°. Find the side opposite the 30° angle, to 1 decimal place.

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

Trigonometry in other year levels

Year 9 Trigonometry (Finding Sides) Worksheet — Level 1
Worksheet · Year 9 · Trigonometry · Level 1 · Easier

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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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