Cheat Sheet
Trigonometry Cheat Sheet: SOH CAH TOA
A compact reference for right-angled triangle trigonometry in Year 10: labelling the opposite, adjacent and hypotenuse, choosing sine,…
- Difficulty
- Level 2 · Standard
- Time
- 20 min
Extra practice for Year 10 Trigonometry (Finding Sides) Worksheet — Level 3: the same skill with fresh questions.
WorksheetYear 10Level 3 · Challenge
Free Year 10 Trigonometry (Finding Sides) Worksheet — Level 3 — Practice Set 3
Practice Set 3 for Year 10 Trigonometry (Finding Sides) Worksheet — Level 3: the same skill and level with a fresh set of questions and a full answer sheet.
More practice: Set 1 · Practice Set 2 · Practice Set 4 — same skill, fresh questions, full answers.
Instant download · No sign-up · Free for personal, classroom and homeschool use
- Year
- Year 10
- Subject
- Maths
- Topic
- Trigonometry
- Difficulty
- Level 3 · Challenge
- Estimated time
- 20 minutes
- Curriculum
- New Zealand Curriculum
- Questions
- 8
- Answers
- Included, with working
- Format
- PDF (A4), print or complete online
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 10 Trigonometry (Finding Sides) Worksheet — Level 3 — Practice Set 3
Ready for more? Move on to Year 11 Maths.
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 14–15) working on trigonometry. It is pitched at level 3 · challenge; an easier 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?
Explore more Year 10 mathematics resources.
Preview
Success TutoringWorksheetsYear 10 · Mathematics · TrigonometryYear 10 Trigonometry (Finding Sides) Worksheet — Level 3 — Practice Set 3
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 49° angle is 20 m. Find the opposite side, to 1 decimal place.
2.In a right-angled triangle, the hypotenuse is 30 cm and one angle is 65°. Find the side opposite the 65° angle, to 1 decimal place.
3.In a right-angled triangle, the side adjacent to a 65° angle is 18 m. Find the opposite side, to 1 decimal place.
4.In a right-angled triangle, the side adjacent to a 60° angle is 22 m. Find the opposite side, to 1 decimal place.
5.In a right-angled triangle, the side adjacent to a 63° angle is 19 m. Find the opposite side, to 1 decimal place.
6.In a right-angled triangle, the side adjacent to a 28° angle is 16 m. Find the opposite side, to 1 decimal place.
7.In a right-angled triangle, the hypotenuse is 16 cm and one angle is 43°. Find the side opposite the 43° angle, to 1 decimal place.
8.In a right-angled triangle, the hypotenuse is 21 cm and one angle is 42°. Find the side adjacent to the 42° angle, to 1 decimal place.
Preview — the PDF contains the full resource and answer sheet.
More Year 10 trigonometry resources
- Worksheet
Year 10 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…
- Difficulty
- Level 1 · Easier
- Time
- 20 min
- Questions
- 8 questions
- Answers
- Answers included
- Worksheet
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…
- Difficulty
- Level 2 · Standard
- Time
- 20 min
- Questions
- 8 questions
- Answers
- Answers included
- 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
- Year 11 Trigonometry (Finding Sides) Worksheet — Level 1
Worksheet · Year 11 · Trigonometry · Level 1 · Easier
- Year 11 Trigonometry (Finding Sides) Worksheet — Level 2
Worksheet · Year 11 · Trigonometry · Level 2 · Standard
- Trigonometric Identities and Equations
Worksheet · Year 12 · Trigonometry · Level 3 · Challenge
- Introduction to Vectors: Components, Magnitude and Direction
Worksheet · Year 12 · 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
Free to print and share for personal, classroom and homeschool use. Please don't resell. Spotted an error? Let us know.