Angles in Regular Polygons Practice for 11+ Maths
19 October 2026
Angles in regular polygons practice
Understanding angles in regular polygons is important for the 11+ maths exam. Regular polygons are shapes where all sides and angles are equal, like equilateral triangles, squares, and regular hexagons.
Find the sum of interior angles
To find the total of all the inside angles in a regular polygon, use this formula:
(number of sides, 2) × 180°
Calculate one interior angle
Divide the sum of the interior angles by the number of sides. This gives the size of each angle.
Worked example: regular hexagon
A regular hexagon has 6 sides.
Step 1: (6-2) × 180° = 4 × 180° = 720°
Step 2: 720° ÷ 6 = 120°
Each interior angle in a regular hexagon is 120°.
Practise with different polygons
Try the same steps with pentagons, octagons, or other regular polygons. This helps children spot patterns and gain confidence.
Key insight: Understanding and practising this formula means your child can quickly solve many 11+ questions about angles in regular polygons.
