O-LevelMathematicsVectors and transformations4024/11 · May/June 2024 · Q244 Marks
ABCD is a quadrilateral. H, K, L and M are the midpoints of AB, BC, CD and AD respectively. AB = 2a, BC = 2b and AD = 2d. [Figure: Quadrilateral ABCD with midpoints H, K, L, M on sides AB, BC, CD, AD respectively. Not to scale.] Express, as simply as possible, in terms of a and b or a, b and d
- (a)HK[1]
- (b)CD[1]
- (c)ML.[2]
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 2024). The mark or mark type is shown in brackets.
- [1] a + b Final answer
- [1] -2a - 2b + 2d or 2(d – a – b) Final answer
- [2] a + b Final answer
- M1 for correct vector route along the lines of the diagram or d - ½ their CD oe
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