4MA0 Higher June 2012 Paper 4 Q15
15
Diagram NOT accurately drawn
\(A\), \(B\), \(C\) and \(D\) are four points on a circle, centre \(O\).
\(AD\) is a diameter of the circle.
Angle \(BAD = 58^\circ\)
(a) Calculate the size of angle \(ADB\). (2)
(b)
(i) Calculate the size of angle \(BCD\).
(ii) Give a reason for your answer.
(2)| Scheme | Marks |
|---|---|
| 180 − (90 + 58) (oe) | M1 |
| 32 | A1 |
| (2) |
Notes
M1: i.e. 90 − 58
Apart from questions 5, 7, 13c, 16b, 20, 21 and 22 (where the mark scheme states otherwise) the correct answer, unless clearly obtained by an incorrect method, should be taken to imply a correct method.
| Scheme | Marks |
|---|---|
| (i) 122 | B1 |
| (ii) Opposite angles in a cyclic quad ( =180°) | B1 |
| (2) | |
| (Total 4 marks) |
Notes
B1: Accept abbreviations if meaning is clear.
B0 for incorrect statements