Higher November 2019 Paper 2 Q17

EdexcelCurrent spec3 marksCircle Theorems

Circle with centre O; B and A on the circle; tangent CAD at A; BOD a straight line; OA and BA drawn; angle ODA = 32 degrees

\(A\) and \(B\) are points on a circle with centre \(O\).
\(CAD\) is the tangent to the circle at \(A\).
\(BOD\) is a straight line.

Angle \(ODA = 32^\circ\)

Work out the size of angle \(CAB\).
You must show all your working. (3)

Mark scheme

Answer	Mark	Mark scheme
61	B1	angle \(OAD = 90\), may be marked on diagram
	M1	method to work out angle \(OAB\) (= 29)
	A1	cao

Additional guidance

Angle could be shown by a right-angle symbol

Correct method can be implied from angles on the diagram if no ambiguity or contradiction.
Reasons need not be given.
Award 0 marks for an answer of 61 with no other working.