4MA0 Higher June 2014 Paper 4 Q16
16
Diagram NOT accurately drawn
(a) P, Q and R are points on a circle, centre O.
Angle \(OPR = 36^\circ\)
Work out the size of angle PQR. (2)
Angle \(OPR = 36^\circ\)
Work out the size of angle PQR. (2)
Diagram NOT accurately drawn
(b) G, H, J and K are points on a circle.
KJ is a diameter of the circle.
Angle \(KGH = 124^\circ\)
Work out the size of angle HKJ. (3)
KJ is a diameter of the circle.
Angle \(KGH = 124^\circ\)
Work out the size of angle HKJ. (3)
| Scheme | Marks |
|---|---|
| Angle \(POR = 180 - 2 \times 36\) (=108) | M1 |
| 54 | A1 |
| (2) |
Notes
M1: May be seen on diagram
| Scheme | Marks |
|---|---|
| Angle \(HJK = 180 - 124\) (=56) or angle \(JHK = 90\) | M1 |
| Angle \(HKJ = 180 - 90 - 56\) | M1 |
| 34 | A1 |
| (3) | |
| (5 marks) |
Notes
M1: May be seen on diagram