Foundation & Higher

Circle theorems GCSE questions

Circle theorems GCSE questions with worked answers. Attempt them first, then check. Full method is on the Circle theorems lesson.

How to use this page

Cover the answers. Write your working. Then compare. Interactive marking and a personalised plan are on ReviseEasy.

Practice questions

Cover the answers and have a go first. Worked solutions are underneath.

Question 1 [1 mark]

A triangle is inscribed in a semicircle with the diameter as one side. What is the angle at the top?

Question 2 [1 mark]

Angle at the circumference is 34°. Angle at the centre standing on the same arc?

Question 3 [1 mark]

One angle of a cyclic quadrilateral is 110°. The opposite angle?

Common mistakes

Answers and working

Q1. 90° (angle in a semicircle)
Q2. 68°
Q3. 70°

Frequently asked questions

Where is the full lesson?

See Circle theorems: https://revise-easy.com/gcse-maths/geometry/circle-theorems/

Want unlimited practice?

ReviseEasy marks your answers instantly and builds a plan around the topics you keep dropping marks on.

Practise more on ReviseEasy →

Related revision

More GCSE revision

ReviseEasy is a GCSE revision website, not a Maths-only site. Lessons, quizzes and flashcards are live for Maths, Combined Science, Triple Biology, Chemistry and Physics, English Language and English Literature. History, Geography and languages are next.