Cheat Sheet
Trigonometry Cheat Sheet: SOH CAH TOA
A compact reference for right-angled triangle trigonometry in Year 9: labelling the opposite, adjacent and hypotenuse, choosing sine,…
- Difficulty
- Level 2 · Standard
- Time
- 20 min
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.
Instant download · No sign-up · Free for personal, classroom and homeschool use
- Year
- Year 9
- Subject
- Mathematics
- Topic
- Trigonometry
- Difficulty
- Level 1 · Easier
- 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 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.
Preview
Year 9 · Mathematics · Trigonometry
Year 9 Trigonometry (Finding Sides) Worksheet — Level 1
Success Tutoring
Student name:
Date:
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Label the sides (opposite, adjacent, hypotenuse), choose the ratio (SOH CAH TOA), then solve.
1.In a right-angled triangle, the hypotenuse is 13 cm and one angle is 64°. Find the side opposite the 64° angle, to 1 decimal place.
2.In a right-angled triangle, the hypotenuse is 9 cm and one angle is 50°. Find the side opposite the 50° angle, to 1 decimal place.
3.In a right-angled triangle, the hypotenuse is 28 cm and one angle is 25°. Find the side opposite the 25° angle, to 1 decimal place.
4.In a right-angled triangle, the hypotenuse is 13 cm and one angle is 51°. Find the side opposite the 51° angle, to 1 decimal place.
5.In a right-angled triangle, the hypotenuse is 16 cm and one angle is 57°. Find the side opposite the 57° angle, to 1 decimal place.
6.In a right-angled triangle, the hypotenuse is 21 cm and one angle is 34°. Find the side opposite the 34° angle, to 1 decimal place.
7.In a right-angled triangle, the hypotenuse is 18 cm and one angle is 63°. Find the side opposite the 63° angle, to 1 decimal place.
8.In a right-angled triangle, the hypotenuse is 14 cm and one angle is 57°. Find the side opposite the 57° angle, to 1 decimal place.
Preview — the PDF contains the full resource and answer sheet.
More Year 9 trigonometry resources
Trigonometry in other year levels
- Year 10 Trigonometry (Finding Sides) Worksheet — Level 2
Worksheet · Year 10 · Trigonometry · Level 2 · Standard
- Year 10 Trigonometry (Finding Sides) Worksheet — Level 3
Worksheet · Year 10 · Trigonometry · Level 3 · Challenge
- Year 11 Trigonometry (Finding Sides) Worksheet — Level 3
Worksheet · Year 11 · Trigonometry · Level 3 · Challenge
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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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