O-LevelMathematicsGeometry4024/23 · May/June 2025 · Q175 Marks
Points B, D, E and F lie on a circle. AC is a tangent to the circle at B. Angle BEF = 50° and EF = BF.
- (a)Find the value of x. Give a geometrical reason for your answer.[2]
- (b)Find the value of y. Give a geometrical reason for each step of your working.[3]
This question uses a diagram from the original paper, which isn't shown here. Open the full paper from the past papers archive to see it.
Mark scheme
Marking points from the official mark scheme (May/June 2025). The mark or mark type is shown in brackets.
- [2] 50 AND alternate segment [theorem]
- B1 for 50
- B1 for alternate segment [theorem]
- [3] 100 AND isosceles triangle AND opposite angles of a cyclic quadrilateral sum to 180°
- B1 for 100
- B1 for one correct reason
- B1 for second correct reason
- Reasons must not be associated with an incorrect angle
- Max 2 marks if answer not fully correct
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