Higher June 2018 Paper 2 Q5

EdexcelHigherCurrent spec3 marksCircle Theorems

5 In the diagram below, \(P\) and \(Q\) are points on a circle with centre \(O\).

Diagram NOT accurately drawn

\(QT\) is a tangent to the circle.
Angle \(OPQ\) = 18°

Work out the size of angle \(PQT\).
Give a reason for each stage of your working.

(3)

Mark scheme

Scheme	Marks
\(\angle OQT = 90^\circ\) and \(\angle OQP = 18^\circ\) or 90 – 18	M1
72	A1
Angle between tangent and radius (or diameter) is 90 degrees	B1
	(3)
	(3 marks)

M1: For 90° and 18° correctly identified in the working or on the diagram or for 90 – 18 or for other fully correct method

B1: Correct reason for 90° angle
[If used alternate segment theorem]