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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
Australian 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: Australian 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

  1. 1Year 10 Trigonometry (Finding Sides) Worksheet — Level 3

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

Try Year 10 Trigonometry (Finding Sides) Worksheet — Level 3.

Preview

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 24 cm and one angle is 63°. Find the side adjacent to the 63° angle, to 1 decimal place.
2.In a right-angled triangle, the hypotenuse is 29 cm and one angle is 53°. Find the side adjacent to the 53° angle, to 1 decimal place.
3.In a right-angled triangle, the side adjacent to a 52° angle is 14 m. Find the opposite side, to 1 decimal place.
4.In a right-angled triangle, the hypotenuse is 29 cm and one angle is 38°. Find the side adjacent to the 38° angle, to 1 decimal place.
5.In a right-angled triangle, the hypotenuse is 29 cm and one angle is 47°. Find the side adjacent to the 47° angle, to 1 decimal place.
6.In a right-angled triangle, the side adjacent to a 37° angle is 12 m. Find the opposite side, to 1 decimal place.
7.In a right-angled triangle, the hypotenuse is 29 cm and one angle is 29°. Find the side adjacent to the 29° angle, to 1 decimal place.
8.In a right-angled triangle, the hypotenuse is 16 cm and one angle is 61°. Find the side adjacent to the 61° angle, to 1 decimal place.
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Preview — the PDF contains the full resource and answer sheet.

  • Worksheet

    Year 10 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

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.