Higher June 2022 Paper 1R Q15
15
Diagram NOT accurately drawn
\(P\), \(Q\), \(R\) and \(S\) are points on a circle with centre \(O\)
\(PS\) is a diameter of the circle.
Angle \(PQR = 136^\circ\)
Work out the size of angle \(RPS\)
(3)
| Scheme | Marks |
|---|---|
| \(PRS = 90\) or \(PQS = 90\) or \(PSR = 180 - 136\) (= 44) | M1 |
| \(RPS = 180 - 90 - \text{``}{44}\text{''}\) oe or \(RQS = 136 - 90\) (= 46) | M1 |
| 46 | A1 |
| (3) | |
| (3 marks) |
Notes
M1: may be seen on diagram. Must be labelled on diagram or identified using 3 letter notation.
M1: for a complete method