Foundation June 2022 Paper 1R Q7
7 The three points \(A\), \(B\) and \(C\) are marked on a centimetre grid.
(a) Write down the coordinates of \(A\) (1)
(b) Find the coordinates of the midpoint of \(BC\) (2)
(c) Work out the area of triangle \(ABC\) (2)
\(D\) is the point on the grid so that \(ABCD\) is a rectangle.
(d) On the grid, mark with a cross (×) the point \(D\)
Label this point \(D\) (1)
Label this point \(D\) (1)
| Scheme | Marks |
|---|---|
| \((-1, 3)\) | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| \((5, 1)\) | B1 |
| B1 | |
| (2) |
Notes
B1: for \(x = 5\)
B1: for \(y = 1\)
| Scheme | Marks |
|---|---|
| \(\dfrac{1}{2} \times 6 \times 4\) oe | M1 |
| 12 | A1 |
| (2) |
Notes
M1: for a correct method
| Scheme | Marks |
|---|---|
| \(D\) indicated at \((-1, -1)\) | B1 |
| (1) | |
| (6 marks) |
Notes
B1: label not required if coordinate clearly indicated
(The printed mark scheme gives the total for this question as 5 marks; the parts and the question paper total 6 marks.)