Specimen 2020 Paper 1 Q4
4 \(ABC\) is a straight line with \(\quad AB : BC = 5 : 2\)
Not drawn accurately
Work out the coordinates of \(C\). [4 marks]
| Answer | Mark | Comments |
|---|---|---|
| Alternative method 1 | ||
| \(5 + \dfrac{2}{5} \times (5 - 3)\) | M1 | oe |
| \(5.5 - \dfrac{2}{5} \times (7 - 5.5)\) or 4.9 | M1 | oe |
| 5.8 or 4.9 | A1 | oe |
| (5.8, 4.9) | A1 | oe. |
| Alternative method 2 | ||
| \(\dfrac{x - 3}{x - 5} = \dfrac{5 + 2}{2}\) | M1 | oe |
| \(\dfrac{7 - y}{5.5 - y} = \dfrac{5 + 2}{2}\) | M1 | oe |
| 5.8 or 4.9 | A1 | oe |
| (5.8, 4.9) | A1 | oe. |
| Alternative method 3 | ||
| \(\dfrac{2 \times 3 + 5 \times x}{2 + 5} = 5\) | M1 | oe |
| \(\dfrac{2 \times 7 + 5 \times y}{2 + 5} = 5.5\) | M1 | oe |
| 5.8 or 4.9 | A1 | oe |
| (5.8, 4.9) | A1 | oe |