GCSE Maths
GCSE Maths Circle Theorems Exam Questions
Free GCSE Maths exam questions on Circle Theorems, with full model answers. Covers angle properties in circles.
Circle Theorems exam questions
2 question packs of real past exam questions with their mark schemes. Answer every question without notes, then mark your answers line by line against the mark scheme.
About GCSE Maths Circle Theorems
Circle Theorems is a Grade 6+ GCSE Maths topic, so it mostly comes up on Higher tier papers. These questions suit every major board: AQA, Edexcel, OCR, WJEC, Eduqas, CCEA, Cambridge IGCSE, Edexcel IGCSE 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
- Centre Angle at the centre is twice the angle at the circumference.
- Semicircle Angle in a semicircle is 90°.
- Cyclic quadrilaterals Opposite angles add to 180°; tangents meet radii at 90°.
Common mistakes in Circle Theorems
- Missing reasons.
- Using the wrong theorem.
Try two Circle Theorems exam-style questions
1. Angle at circumference is 35°. Find the angle at the centre. (1 mark)
Show the mark scheme answer
70°
2. One angle of a cyclic quadrilateral is 110°. Find the opposite angle. (1 mark)
Show the mark scheme answer
70°
Circle Theorems FAQs
Which exam boards include Circle Theorems?
These questions suit every major board: AQA, Edexcel, OCR, WJEC, Eduqas, CCEA, Cambridge IGCSE, Edexcel IGCSE and OxfordAQA IGCSE.
What grade is Circle Theorems in GCSE Maths?
It is a Grade 6+ topic, so it mostly appears on Higher tier papers.
How should I use these Circle Theorems questions?
Answer every question without notes, then check each answer against the model answers and redo the ones you got wrong.
