4MA0 Foundation June 2012 Paper 2 Q5
5 The diagram shows three points \(P\), \(Q\) and \(R\) on a 1 cm grid.

(a) Write down the coordinates of \(P\). (1)
(b) Write down the coordinates of \(Q\). (1)
(c) On the grid, mark the point \(S\) so that \(PQRS\) is a rhombus. (1)
(d) Work out the area of the rhombus \(PQRS\). (2)
(e) Write down the equation of the line \(PR\). (1)
| Scheme | Marks |
|---|---|
| (2, 4) | B1 |
| (1) |
Notes
B1: cao
| Scheme | Marks |
|---|---|
| (−1, 3) | B1 |
| (1) |
Notes
B1: cao
| Scheme | Marks |
|---|---|
| \(S\) plotted at 5, 3 | B1 |
| (1) |
Notes
B1: Accept X in place of \(S\) or rhombus in correct position
| Scheme | Marks |
|---|---|
| 2 × 3 oe | M1 |
| 6 | A1 |
| (2) |
Notes
A1: SC B1 for 5 to 7 inclusive (but not 6) or 8
| Scheme | Marks |
|---|---|
| \(x = 2\) oe | B1 |
| (1) | |
| (Total 6 marks) |