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Exam-style practice

Circle theorems I practice questions

Practise mixed syllabus-aligned questions for Circle theorems I. Aligned to Cambridge IGCSE Mathematics.

Practice questions

Question 1 of 2

Choose an answer, get feedback, then move sideways through the set.

Paper 2 structured question: Circle theorems I

Paper 2Core or Extended Mathematics2 marks

Diagram Description

Circle with diameter and tangent

A circle has diameter AB. Point C lies on the circle forming triangle ABC. A tangent touches the circle at point B. The radius OB is drawn from the centre O to point B. Angle ABC is unknown. Determine the size of angle ABC and justify your answer using circle properties.

  1. a

    Calculate Calculate the size of angle ABC.

    Aim for approximately 2 distinct marking points.

    [2]