O-LevelMathematicsCoordinate geometry4024/12 · Oct/Nov 2025 · Q85 Marks
Point A and point B are plotted on the grid. [Figure: Cartesian grid with points A(-2,1) and B(4,3) plotted]
- (a)Write down the coordinates of point A.[1]
- (b)The coordinates of point C are (p, -1). The gradient of the line BC is -2. Find the value of p.[2]
- (c)AB and BC are two sides of the parallelogram ABCD. Find the coordinates of point D.[2]
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Mark scheme
Marking points from the official mark scheme (Oct/Nov 2025). The mark or mark type is shown in brackets.
- [1] (a) (-2, 1)
- [2] (b) [p = ] 6
- [2] (b) M1 for line with gradient -2 drawn through B
- [2] (b) M1 for point C marked at (6, -1)
- [2] (b) M1 for (-1-3)/(p-4) = -2 oe
- [2] (c) (0, -3)
- [2] (c) or ((their p – 6), -3)
- [2] (c) B1 for answer ((their p – 6), k) or (k, -3)
- [2] (c) M1 for gradient AD = -2 stated
- [2] (c) M1 for CD = (2, -4) soi
- [2] (c) M1 for AD = (2, -4) soi
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