GCSE & iGCSE Circle Theorems worksheet

Circle theorems worksheet for GCSE and iGCSE maths: parts of a circle, isosceles radii triangles, and using and proving the circle theorems.

A complete circles and circle theorems worksheet for Pearson Edexcel GCSE (1MA1) and International GCSE (4MA1), written so one resource works for both tiers. Every section is clearly labelled Foundation or Higher, and questions get harder as you go.

What’s covered — Foundation

Naming the parts of a circle
Using the fact that radii are equal, so a triangle with two radii is isosceles
Angles in regular polygons drawn inside a circle

What’s covered — Higher (grades 6 to 9)

Using all the circle theorems, with a reason for every step
Proving the circle theorems

How it’s structured

A. Worked examples & Your turn — a model solution beside a matching question to try
B. Fluency — core skills
C. Reasoning — explain it
D. Problem solving — unfamiliar, multi-step questions
E. Exam practice — exam-style questions with mark allocations

123 marks across Sections B to E (61 Foundation, 62 Higher), with a progress tracker on the front page so students can record their score per section. The isosceles-radii idea is built first at Foundation, which is what makes the Higher theorems feel derivable rather than arbitrary.

How to use it

Works as a full lesson, homework, a cover lesson or targeted intervention. Because each tier is labelled, you can set the Foundation sections to one group and the Higher sections to another from the same print.

What’s included

14-page worksheet (PDF, printable, with diagrams and answer spaces)
6-page full worked solutions (PDF) — complete method for every question, not just final answers
No calculator

Specification

Pearson Edexcel GCSE Mathematics (1MA1) and International GCSE Mathematics (4MA1), Geometry and Measures. All questions are original.