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Mathematics Worksheet
🔷 Polygons
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After this worksheet you can
Use the interior-angle sum (n − 2) × 180°.Find each interior angle of a regular polygon.Name polygons by their number of sides.Recognise regular polygons.📚 Quick Recap
A polygon is any closed shape made entirely of straight line segments — from simple triangles to complex many-sided figures, they're everywhere in geometry.
🧠 Section A · Concept Check ● BEGINNER 4 × 1 = 4
1The interior angles of a pentagon sum to:
2The interior angles of a decagon (10 sides) sum to:
3Each interior angle of a regular octagon is:
4Each interior angle of a square is:
🧮 Section B · Problem Solving ● INTERMEDIATE 2 + 3×3 = 11
5The interior angles of an n-gon sum to (n − 2) × .
6A pentagon's interior angles sum to .
7Find the sum of interior angles of a pentagon (5 sides).
8Find the sum of interior angles of a decagon (10 sides).
9Find each interior angle of a regular octagon.
🚀 Section C · Challenge ● CHALLENGE 5
10Find each interior angle of a regular quadrilateral (a square).
💭 Reflection — the most useful thing I learned:
A ___/4 B ___/11 C ___/5 Total ___/20
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1-A 2-A 3-A 4-A | 5 180° 6 540° 7 = 540° 8 = 1440° 9 = 135° | 10 = 90°