4MA0 Higher January 2015 Paper 3 Q14

EdexcelHigherOld spec3 marksCircle Theorems

Circle centre O with diameter QS and chord PR crossing QS at T; OS = 5 cm, QT = 3 cm, TR = 6 cm

Diagram NOT accurately drawn

P, Q, R and S are points on a circle, centre O.
QS is a diameter of the circle.
QS and PR intersect at the point T.
\(OS = 5\) cm, \(QT = 3\) cm and \(TR = 6\) cm.

Work out the length of PT.

(3)

Mark scheme

Scheme	Marks
\((ST =)\ 5 + 2\) or 7 or \((OT =)\ 2\)	M1
PT × 6 = (5 + 2) × 3 or \(PT \times 6 = \text{“}7\text{”} \times 3\) or \(\dfrac{\text{“}7\text{”}}{6} \times 3\) oe	M1
\(3\frac{1}{2}\) oe	A1
	(3 marks)

Notes

M1: Accept ST or OT marked correctly on diagram

M1: dep