Higher November 2023 Paper 5 Q22
22 In this question all angles are given in degrees.
A, B, C and D are points on the circumference of a circle, centre O.
Not to scale
(a) Find the size of angle BCD. [4]
(b) Find the size of angle DAB.
Give a reason for your answer. [2]
Give a reason for your answer. [2]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 115 | 4 | M1 for \(4x - 150 = 2(x + 20)\) oe M1 for \(4x - 150 = 2x + 40\) FT their 4 term linear equation with brackets M1 for \(x = 95\) FT their 4 term linear equation | FT linear eqn with more than 4 terms but not fewer, must have at least two terms in \(x\) |
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 65 and Opposite angles of a cyclic quadrilateral are supplementary | 2 | FT 180 – their (a) B1 for 65 FT or for correct reason | Accept [Opp angles of] cyclic quad [add up to 180] [Angles in] opposite segments [are supplementary] Accept complete longer reasons Angles at a point add to 360 and angle at centre is twice angle at circumference oe Any incorrect statement does not score for reason |