Study Guide
Pythagoras' Theorem Explained
Explains Pythagoras' theorem for right-angled triangles, how to find the hypotenuse, how to find a shorter side, and how to test whether a…
- Difficulty
- Level 2 · Standard
- Time
- 20 min
Extra practice for Year 10 Pythagoras' Theorem Worksheet — Level 3: the same skill with fresh questions.
WorksheetYear 10Level 3 · Challenge
Free Year 10 Pythagoras' Theorem Worksheet — Level 3 — Practice Set 3
Practice Set 3 for Year 10 Pythagoras' Theorem 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
- Pythagoras' Theorem
- 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
- finding the hypotenuse
- finding a shorter side
- rounding to decimal places
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 Pythagoras' Theorem Worksheet — Level 3 — Practice Set 3
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 pythagoras' theorem. 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?
Try Trigonometry Cheat Sheet: SOH CAH TOA.
Preview
Success TutoringWorksheetsYear 10 · Mathematics · Pythagoras' TheoremYear 10 Pythagoras' Theorem Worksheet — Level 3 — Practice Set 3
Name
Date
Score /
Use c² = a² + b², where c is the hypotenuse. Show your working.
1.Find the hypotenuse of a right-angled triangle with shorter sides 10 m and 11 m. Give your answer to 1 decimal place.
2.Find the hypotenuse of a right-angled triangle with shorter sides 6 m and 12 m. Give your answer to 1 decimal place.
3.Find the hypotenuse of a right-angled triangle with shorter sides 8 m and 11 m. Give your answer to 1 decimal place.
4.Find the hypotenuse of a right-angled triangle with shorter sides 6 m and 11 m. Give your answer to 1 decimal place.
5.Find the hypotenuse of a right-angled triangle with shorter sides 10 m and 8 m. Give your answer to 1 decimal place.
6.Find the hypotenuse of a right-angled triangle with shorter sides 5 m and 6 m. Give your answer to 1 decimal place.
7.Find the hypotenuse of a right-angled triangle with shorter sides 9 m and 11 m. Give your answer to 1 decimal place.
8.Find the hypotenuse of a right-angled triangle with shorter sides 7 m and 3 m. Give your answer to 1 decimal place.
Preview — the PDF contains the full resource and answer sheet.
More Year 10 pythagoras' theorem resources
- Worksheet
Year 10 Pythagoras' Theorem Worksheet — Level 1
Find the hypotenuse or a shorter side of a right-angled triangle. Builds confidence with the core skill before adding complexity. This…
- Difficulty
- Level 1 · Easier
- Time
- 20 min
- Questions
- 8 questions
- Answers
- Answers included
- Worksheet
Year 10 Pythagoras' Theorem Worksheet — Level 2
Find the hypotenuse or a shorter side of a right-angled triangle. Expected-level practice for this year group. This Year 10 worksheet has…
- Difficulty
- Level 2 · Standard
- Time
- 20 min
- Questions
- 8 questions
- Answers
- Answers included
- Worksheet
Year 10 Pythagoras' Theorem Worksheet — Level 3
Find the hypotenuse or a shorter side of a right-angled triangle. A challenge set for students ready to stretch further. This Year 10…
- Difficulty
- Level 3 · Challenge
- Time
- 20 min
- Questions
- 8 questions
- Answers
- Answers included
Pythagoras' Theorem in other year levels
- Year 11 Pythagoras' Theorem Worksheet — Level 1
Worksheet · Year 11 · Pythagoras' Theorem · Level 1 · Easier
- Year 11 Pythagoras' Theorem Worksheet — Level 2
Worksheet · Year 11 · Pythagoras' Theorem · 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.