WorksheetYear 11Level 2 · Standard

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

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Year: Year 11
Subject: Mathematics
Topic: Trigonometry
Difficulty: Level 2 · Standard
Estimated time: 20 minutes
Curriculum: New Zealand 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: New Zealand 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 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 11 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 11 mathematics resources.

Year 11 · Mathematics · Trigonometry

Year 11 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 side adjacent to a 57° angle is 19 m. Find the opposite side, to 1 decimal place.

2.In a right-angled triangle, the hypotenuse is 15 cm and one angle is 63°. Find the side opposite the 63° angle, to 1 decimal place.

3.In a right-angled triangle, the side adjacent to a 39° angle is 22 m. Find the opposite side, to 1 decimal place.

4.In a right-angled triangle, the hypotenuse is 13 cm and one angle is 59°. Find the side opposite the 59° angle, to 1 decimal place.

5.In a right-angled triangle, the hypotenuse is 6 cm and one angle is 69°. Find the side opposite the 69° angle, to 1 decimal place.

6.In a right-angled triangle, the side adjacent to a 20° angle is 16 m. Find the opposite side, to 1 decimal place.

7.In a right-angled triangle, the side adjacent to a 44° angle is 7 m. Find the opposite side, to 1 decimal place.

8.In a right-angled triangle, the hypotenuse is 8 cm and one angle is 37°. Find the side opposite the 37° 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 1
Worksheet · Year 10 · 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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