GCSE Maths
GCSE Maths Proof of the Circle Theorems Exam Questions
Free GCSE Maths exam questions on Proof of the Circle Theorems, with full model answers. Covers proving circle theorems with algebra and reasons.
Proof of the Circle Theorems exam questions
1 question pack of real past exam questions with its mark scheme. Answer every question without notes, then mark your answers line by line against the mark scheme.
About GCSE Maths Proof of the Circle Theorems
Proof of the Circle Theorems is a Grade 8/9+ GCSE Maths topic, so it mostly comes up on Higher tier papers. These questions suit AQA GCSE, Edexcel GCSE, OCR GCSE, WJEC GCSE, Eduqas GCSE and OxfordAQA IGCSE. Work through the pack without notes, then mark every answer against the model answers and redo any you got wrong a few days later.
What you need to know
- Isosceles triangles Radii are equal.
- Angle facts Combine with triangle angle sums.
- Structure Clear logical steps with reasons.
Common mistakes in Proof of the Circle Theorems
- Assuming the result.
- Missing reasons.
Try two Proof of the Circle Theorems exam-style questions
1. What makes triangles in circle proofs isosceles? (1 mark)
Show the mark scheme answer
Two sides are radii
2. Which theorem is proved by splitting into two isosceles triangles? (1 mark)
Show the mark scheme answer
Angle at the centre is twice the angle at the circumference
Proof of the Circle Theorems FAQs
Which exam boards include Proof of the Circle Theorems?
These questions suit AQA GCSE, Edexcel GCSE, OCR GCSE, WJEC GCSE, Eduqas GCSE and OxfordAQA IGCSE.
What grade is Proof of the Circle Theorems in GCSE Maths?
It is a Grade 8/9+ topic, so it mostly appears on Higher tier papers.
How should I use these Proof of the Circle Theorems questions?
Answer every question without notes, then check each answer against the model answers and redo the ones you got wrong.
