4MA0 Foundation January 2017 Paper 2 Q3
3 The diagram shows the straight lines \(AB\) and \(BC\) drawn on a centimetre grid.
(a) Write down the coordinates of
(i) \(C\)
(ii) \(B\)
(2)(b) On the grid, mark the point \(D\) so that \(ABCD\) is a kite. (1)
(c) Work out the gradient of \(AB\). (2)
| Scheme | Marks |
|---|---|
| (i) (5, 1) | B1 |
| (ii) (3, −1) | B1 |
| (2) |
| Scheme | Marks |
|---|---|
| \(D\)(3, 3) marked | B1 |
| (1) |
Notes
B1: Condone omission of \(D\) if unambiguous.
| Scheme | Marks |
|---|---|
| M1 | |
| \(-\dfrac{1}{2}\) | A1 |
| (2) | |
| (5 marks) |
Notes
M1: For \(\dfrac{2}{4}\) or \(\dfrac{1}{2}\) oe or
a clear attempt to work out \(\dfrac{\text{distance up}}{\text{distance along}}\) for \(AB\)
(condone omission of negative sign)
A1: oe