Year 10 Polygons Worksheets (GCSE) | Printable PDFs
Year 10 polygons worksheets for Year 10 Maths (Key Stage 4, GCSE). Students aged 14–15 learn how to calculate angles in regular polygons and apply geometric reasoning to polygon problems. Students in year 10 will be familiar with the fact that angles in a triangle add up to 180 degrees. This concept is applied to polygons with greater than three sides. A polygon is a 2D shape made from straight line segments that join together to form a closed shape. Examples of polygons include triangles, quadrilaterals, pentagons, and hexagons.
Shapes with curved sides, such as circles, are not polygons. Every quadrilateral can be split into two triangles, so the angles in any quadrilateral (a four sided polygon) add up to 180 + 180 = 360 degrees. Year 10 students also investigate tessellations and explore how regular polygons fit together to cover a surface without gaps or overlaps. A regular polygon is an enclosed shape with equal straight sides.
Sign Up to Unlock 10 Free Answers Every Month
Angles in Polygons
Tessellations
Common Questions about Year 10 Polygons
What is a regular polygon?
A regular polygon has all sides equal in length and all interior angles equal in size.What is a tessellation?
A tessellation is a pattern of shapes that fit together perfectly without any gaps or overlaps.How do you find the interior angle of a regular polygon?
First find the sum of the interior angles using (n − 2) × 180°, then divide by the number of sides.
Year 10 Polygons Common Mistakes
Common Mistake 1
A common mistake is confusing the sum of the interior angles with the size of one interior angle.Common Mistake 2
Students often forget that a regular polygon has equal sides and equal angles, so the formula for one interior angle only works directly for regular polygons.Common Mistake 3
Another common mistake is assuming shapes tessellate because they look similar, without checking whether the angles around a point add up to 360°.
Polygons Worksheets - Free Worksheets Above
Regular Tessellations
Finding Angles in Regular Polygons
More To Come