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Exam-Style Questions on Circle Theorems

Problems on Circle Theorems adapted from questions set in previous Mathematics exams.

1.

GCSE Higher

(a) Find \(x\), the size of angle ABC if B, C and D are all points on the circle to which AB is a tangent. The diagram is not drawn to scale.

(b) Give a reason for your answer

Circle Diagram

2.

GCSE Higher

The diagram, not drawn to scale, shows chords joining points on the circumference of a circle. Prove that triangle ADE is similar to triangle BCE.

Diagram

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The exam-style questions appearing on this site are based on those set in previous examinations (or sample assessment papers for future examinations) by the major examination boards. The wording, diagrams and figures used in these questions have been changed from the originals so that students can have fresh, relevant problem solving practice even if they have previously worked through the related exam paper.

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