O-LevelMathematicsVectors and transformations4024/11 · Oct/Nov 2019 · Q256 Marks
In the diagram, B is the midpoint of OD and OA : AC = 1 : 3. OA = a and OB = b. [Figure X.X - vector diagram]
- (a)Express, as simply as possible, in terms of a and/or b
- (a)(i)OC,[1]
- (a)(ii)CD.[1]
- (b)P is the point on CD where CP = ¾CD.
- (b)(i)Express AP, as simply as possible, in terms of a and/or b.[2]
- (b)(ii)Find AP : BD.[1]
- (b)(iii)What special type of quadrilateral is ABDP?[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 2019). The mark or mark type is shown in brackets.
- [1] 4a
- [1] 2b - 4a
- FT 2b - their (a)(i) in terms of a and/or b only
- [2] 3/2 b
- M1 for a correct vector route
- or for 3a + 1/4 their (a)(ii)
- or for 3/4 × 2b
- If 0 scored SC1 for -3/2 b as final answer
- [1] 3:2 oe
- [1] Trapezium
- Dep. on a correct part (b)(i), or their part (b)(i) being a multiple of b
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