4MA0 Foundation June 2013 Paper 2 Q20
20 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 dep |
| 7.28 | A1 |
| (4) |
Notes
B1: “2” & “7” must be identified as sides
A1: awrt 7.28