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3 marksGeometric Problem Solving (Circles and Circle Theorems)

CSEC Mathematics · May/June 2017 · Paper 2 · Question 10(a)(ii)

P, Q, R and S are four points on the circumference of a circle. Angle QRS = 58°.

Using the geometrical properties of a circle to give reasons for each step of your answer, determine the measure of ∠OQS.

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Other parts of this question

  1. 10(a)(i)Using the geometrical properties of a circle to give reasons for each step of your answer, determine the measure of ∠SPQ.[2 marks]
  2. 10(b)(i)On the diagram below, not drawn to scale, label the known distances travelled and the known angles.[2 marks]
  3. 10(b)(ii)Determine the measure of ∠ABC.[2 marks]
  4. 10(b)(iii)Calculate, to the nearest km, the distance AC.[3 marks]
  5. 10(b)(iv)Show that the bearing of A from C, to the nearest degree, is 260°.[3 marks]

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