Foundation June 2023 Paper 2 Q5
5 The diagram shows three points, \(A\), \(B\) and \(C\), marked on a grid.

(a) Write down the coordinates of point \(A\) (1)
(b) On the grid, mark with a cross (×) the point \(D\) so that \(ABCD\) is a rectangle. (1)
(c) Find the coordinates of the midpoint of \(AC\) (2)
(d) On the grid, draw the line with equation \(\;y = 4\) (1)
| Scheme | Marks |
|---|---|
| (2, 3) | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| For the point (6, 1) marked | B1 |
| (1) |
Notes
B1: If not marked D then award marks so long as unambiguous.
| Scheme | Marks |
|---|---|
| (3.5, 1) | B2 |
| (2) |
Notes
B2: oe for both coordinates correct
(B1 for a correct calculation for one coordinate \(\dfrac{2 + 5}{2}\) or \(\dfrac{3 + {-1}}{2}\) or for one correct coordinate or for (1, 3.5))
| Scheme | Marks |
|---|---|
| line drawn | B1 |
| (1) | |
| (5 marks) |
Notes
B1: horizontal line drawn – any length as long as unambiguous