Quelpr
2 marksGeometric Problem Solving (Circles and Circle Theorems)

CSEC Mathematics · May/June 2011 · Paper 2 · Question 10(a)(i)

Diagram shows points W, X, Y, Z on circumference of circle, centre O. TYV is tangent at Y. ∠XWZ = 64°, ∠ZYV = 23°.

Calculate, giving reasons for your answer, the measure of angle XYZ.

This question uses a figure or table from the paper — you'll see it when you practise.

The mark scheme is shown once you've answered.

Practise this question

Other parts of this question

  1. 10(a)(ii)Calculate, giving reasons for your answer, the measure of angle YXZ.[2 marks]
  2. 10(a)(iii)Calculate, giving reasons for your answer, the measure of angle OXZ.[3 marks]
  3. 10(b)(i)Calculate the value of x, as shown in the diagram.[2 marks]
  4. 10(b)(ii)Calculate the distance RP.[3 marks]
  5. 10(b)(iii)Determine the bearing of R from P.[3 marks]

More practice: the rest of this paper · more Geometric Problem Solving (Circles and Circle Theorems) questions · all CSEC Mathematics past papers