O-LevelMathematicsVectors and transformations4024/11 · Oct/Nov 2018 · Q234 Marks
In the diagram, ABCD is a parallelogram. X is the point on BC such that BX : XC = 3 : 1. AB = 6p and AD = 8q. [Figure 23.1]
- (a)Express BX in terms of p and/or q.[1]
- (b)Express AX in terms of p and/or q.[1]
- (c)(i)Y is the point such that CY = 3p + q. Express AY in terms of p and/or q.[1]
- (c)(ii)Find the ratio AX : AY.[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 2018). The mark or mark type is shown in brackets.
- 23(a) 6q oe [1]
- 23(b) 6p + 6q isw [1]
- FT 6p + their (a) isw
- 23(c)(i) 9p + 9q oe [1]
- 23(c)(ii) 2:3 oe [1]
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