Higher November 2024 Paper 5 Q19
19 A, B, C and D are points on the circumference of a circle, centre O.
BD is a diameter of the circle.
EBF is a tangent to the circle.
Not to scale
(a) Give a reason why angle BAD = 90°. [1]
(b) Write down one other angle that is 90°.
Give a reason for your answer. [2]
Give a reason for your answer. [2]
(c) Write down the value of angle CAD. [1]
(d) Write down the value of angle EBA. [1]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| Angle in a semi-circle [= 90] | 1 | Accept: Angle subtended by diameter [ = 90] Angle at centre is twice angle at circumference | |
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| EBD or EBO or FBD or FBO and angle between radius and tangent [= 90] | 2 | B1 for EBD or EBO or FBD or FBO or for correct reason | Accept DBE etc but not B Accept diameter for radius |
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 35 | 1 | ||
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 25 | 1 | ||