O-LevelMathematicsVectors and transformations4024/21 · May/June 2021 · Q1010 Marks
AB = (-3, 5) Calculate |AB|.
- (a)(i)AB = (-3, 5) Calculate |AB|.[2]
- (a)(ii)(a)AC = (6, 2) and C is the point (10, -1). Find the coordinates of the point A.[1]
- (a)(ii)(b)B is the midpoint of AD. Find the coordinates of the point D.[2]
- (b)(i)The diagram shows triangle OPQ. [Figure 10.1] OP = p and OQ = q. R is the point on OQ such that OR = 2RQ. S is the midpoint of PQ. Express, as simply as possible, in terms of p and/or q PQ,[1]
- (b)(ii)OS,[2]
- (b)(iii)SR.[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 2021). The mark or mark type is shown in brackets.
- [2] 5.83 or 5.830 to 5.831
- [2] M1 for (-3)² + 5² oe
- [1] (4,-3)
- [2] (-2, 7)
- [2] B1FT for answer (their 4 – 6, k) or answer (k, their (-3) + 10)
- [1] q - p
- [2] 1/2 p + 1/2 q oe simplified vectors
- [2] M1 for a correct vector route along the lines of the diagram or for correct unsimplified expression
- [2] 1/6 q - 1/2 p oe simplified vectors
- [2] M1 for correct vector route along the lines of the diagram but can include OS or for correct unsimplified expression
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