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Cambridge IGCSE Mathematics practice

exam practice - Understand and apply circle theorems to find unknown angles and provide explanations. You should use the following properties of circles when justifying your answers: the angle in a semicircle is 90 degrees, and the angle between a tangent and a radius is also 90 degrees. - Circle theorems

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Topic

Circle theorems

Exam-style question

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Paper 2Core or Extended Mathematics2 marks

Circle Geometry

Description

Circle and Angles

In circle O, AB is a diameter. Point C is on the circumference of the circle. Angle ACB is to be calculated.

  1. a

    Calculate the measure of angle ACB.

    Aim for approximately 2 distinct marking points.

    [2]

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Maths method check

  • Topic focus: Circle theorems.
  • Question style: structured_mathematics.
  • Reasoning demand: reasoning.
  • Check the operation, notation, units, and final answer form against the question before moving on.

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Paper 2 structured question: Circle theorems

Paper 2Core or Extended Mathematics1 marks

Description

Circle and Tangent

In circle O, a tangent PT touches the circle at point T. The radius OT is drawn. Find the angle between PT and OT.

  1. a

    Calculate the angle between the tangent PT and the radius OT.

    Aim for approximately 1 distinct marking point.

    [1]