WorksheetYear 11Level 3 · Challenge

Free Year 11 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 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: Pythagoras' Theorem
Difficulty: Level 3 · Challenge
Estimated time: 20 minutes
Curriculum: New Zealand Curriculum
Questions: 8
Answers: Included, with working
Format: PDF (A4) + print

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 11 Pythagoras' Theorem Worksheet — Level 3

1Year 11 Trigonometry (Finding Sides) Worksheet — Level 2

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 pythagoras' theorem. It is pitched at level 3 · challenge.

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 11 Trigonometry (Finding Sides) Worksheet — Level 2.

Year 11 · Mathematics · Pythagoras' Theorem

Year 11 Pythagoras' Theorem Worksheet — Level 3

Success Tutoring

Student 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 3 m. Give your answer to 1 decimal place.

2.Find the hypotenuse of a right-angled triangle with shorter sides 5 m and 9 m. Give your answer to 1 decimal place.

3.Find the hypotenuse of a right-angled triangle with shorter sides 4 m and 6 m. Give your answer to 1 decimal place.

4.Find the hypotenuse of a right-angled triangle with shorter sides 3 m and 11 m. Give your answer to 1 decimal place.

5.Find the hypotenuse of a right-angled triangle with shorter sides 11 m and 9 m. Give your answer to 1 decimal place.

6.Find the hypotenuse of a right-angled triangle with shorter sides 6 m and 7 m. Give your answer to 1 decimal place.

7.Find the hypotenuse of a right-angled triangle with shorter sides 5 m and 6 m. Give your answer to 1 decimal place.

8.Find the hypotenuse of a right-angled triangle with shorter sides 3 m and 9 m. Give your answer to 1 decimal place.

Preview — the PDF contains the full resource and answer sheet.

Pythagoras' Theorem in other year levels

Year 10 Pythagoras' Theorem Worksheet — Level 1
Worksheet · Year 10 · Pythagoras' Theorem · 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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