4MA0 Higher June 2013 Paper 4 Q7
7 Two points, \(A\) and \(B\), are plotted on a centimetre grid.
\(A\) has coordinates (1, 4) and \(B\) has coordinates (8, 2).
(a) Work out the coordinates of the midpoint of \(AB\). (2)
(b) Use Pythagoras’ Theorem to work out the length of \(AB\).
Give your answer correct to 3 significant figures. (4)
Give your answer correct to 3 significant figures. (4)
| Scheme | Marks |
|---|---|
| (4.5 , 3) | B1 B1 |
| (2) |
| Scheme | Marks |
|---|---|
| Identifies 2 & 7 as sides | B1 |
| \(\text{“}2\text{”}^2 + \text{“}7\text{”}^2\) | M1 |
| \(\sqrt{\text{“}2\text{”}^2 + \text{“}7\text{”}^2}\) | M1 |
| 7.28 | A1 |
| (4) |
Notes
M1: “2” & “7” must be identified as sides
M1: dep
A1: awrt 7.28