O-LevelMathematicsGeometry4024/11 · Oct/Nov 2018 · Q254 Marks
In the triangle ABC, P and Q are points on AB and AC such that PQ is parallel to BC. AP = 3 cm, PB = 5 cm and BC = 12 cm. [Figure 25.1]
- (a)Find PQ.[2]
- (b)The area of triangle ABC is x cm². Find an expression, in terms of x, for the area of trapezium BCQP.[2]
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Mark scheme
Marking points from the official mark scheme (Oct/Nov 2018). The mark or mark type is shown in brackets.
- 25(a) 4.5 oe [2]
- M1 for PQ/12 = 3/8 oe; or for [PQ =] 12 × 3/8
- 25(b) 55/64 x oe [2]
- B1 for (3/8)² or for (8/3)² seen
- or M1 for [area of BCQP =] x – area of ΔAPQ provided area of ΔAPQ is in terms of x.
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