4MA0 Higher June 2013 Paper 3 Q13
13
Diagram NOT accurately drawn
\(A\), \(B\), \(C\) and \(D\) are points on a circle.
\(PA\) is a tangent to the circle.
Angle \(PAD = 39^\circ\)
Angle \(BCD = 103^\circ\)
Calculate the size of angle \(ADB\).
(3)
| Scheme | Marks |
|---|---|
| NB : M2 cannot be awarded if angles are marked incorrectly on the diagram 180 − 77 − 39 or \(\angle BAD = 77^\circ\) and \(\angle ABD = 39^\circ\) or \(\angle BA\text{“}x\text{”} = 64^\circ\) where \(x\) is on \(PA\) produced or a fully correct method to find angle \(ADB\) | M2 |
| 64 | A1 |
| (3) |
Notes
M2: also accept 103 −39
M1 for \(\angle BAD = 77^\circ\) or \(\angle ABD = 39^\circ\)
A1: cao
Angles may be stated or marked on diagram