O-LevelMathematicsGeometry4024/11 · Oct/Nov 2020 · Q255 Marks
In the diagram, ABP and ACQ are straight lines. AČB = APQ.
- (a)Show that triangle ABC is similar to triangle AQP. Give a reason for each statement you make.[2]
- (b)AB = 4 cm, AC = 3 cm and AQ = 12 cm. Calculate AP.[2]
- (c)The area of triangle ABC is x cm². Find an expression, in terms of x, for the area of quadrilateral BPQC.[1]
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 (Oct/Nov 2020). The mark or mark type is shown in brackets.
- [2] ACB = APQ [given] BAC = QAP same angle ABC = AQP [third] angles in a triangle Hence similar
- B1 for two correct pairs of angles identified
- [2] 9 nfww
- B1 for AP/3 = 12/4 oe
- [1] 8x
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