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WorksheetYear 8Level 3 · Challenge

Free Year 8 Angles in Polygons Worksheet — Level 3

Find the interior angle sum of a polygon, each interior and exterior angle of a regular polygon, missing angles and the number of sides. A challenge set for students ready to stretch further. This Year 8 worksheet has 10 questions and comes with a full answer sheet showing the working for every question.

Need more practice? Practice Set 2 · Practice Set 3 · Practice Set 4 — same skill, fresh questions, full answers.

Instant download · No sign-up · Free for personal, classroom and homeschool use

Year
Year 8
Subject
Maths
Topic
Angles
Difficulty
Level 3 · Challenge
Estimated time
15 minutes
Curriculum
Australian Curriculum
Questions
10
Answers
Included, with working
Format
PDF (A4), print or complete online

Students will practise

  • finding the interior angle sum of a polygon
  • finding interior angles of regular polygons
  • using exterior angles
  • finding missing angles and the number of 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 8 Angles in Polygons Worksheet — Level 3

Ready for more? Move on to Year 9 Maths.

← Easier: Level 2 · Standard

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 8 students (typically ages 13–14) working on angles. 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 15 minutes for 10 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 8 mathematics resources.

Preview

Success TutoringWorksheetsYear 8 · Mathematics · Angles

Year 8 Angles in Polygons Worksheet — Level 3

Name

Date

Score /

Interior angle sum = (n − 2) × 180°. The exterior angles of any convex polygon add to 360°.

1.Find the size of each interior angle of a regular dodecagon. (answer space)
2.Each exterior angle of a regular polygon is 10°. How many sides does it have? (answer space)
3.The interior angles of a hexagon are 101°, 116°, 155°, 78°, 125° and x°. Find x.
4.Each interior angle of a regular polygon is 150°. How many sides does it have? (answer space)
5.The interior angles of a polygon add up to 2,160°. How many sides does it have? (answer space)
6.Find the size of each interior angle of a regular 30-sided polygon. (answer space)
7.Each exterior angle of a regular polygon is 45°. How many sides does it have? (answer space)
8.The interior angles of a heptagon are 110°, 170°, 138°, 111°, 150°, 131° and x°. Find x.
9.Each interior angle of a regular polygon is 144°. How many sides does it have? (answer space)
10.The interior angles of a polygon add up to 1,260°. How many sides does it have? (answer space)
Free worksheets at worksheets.successtutoring.com · © Success Tutoring · Free for personal and classroom use

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

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Angles in other year levels

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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.