Higher June 2022 Paper 2 Q19
19 \(A\), \(B\), \(C\), \(D\) and \(E\) are points on a straight line.
Not drawn accurately
\(A\), \(B\), \(C\) and \(D\) are equally spaced.
\(AD : DE = 2 : 1\)
Work out the coordinates of \(E\). [3 marks]
| Answer | Mark | Comments |
|---|---|---|
| (32, 8) | B3 | B2 \(E\) (32, …) or \(E\) (…, 8) B1 \(C\) (17, 18) or \(D\) (23, 14) SC1 \(C\) (\(a\), \(b\)) and \(D\) (\(a + 6\), \(b - 4\)) |
Additional guidance
| Mark the answer line for B3 and B2 (if blank check working lines and diagram) | |
| B1 or SC1 is likely to be seen in working lines or on the diagram | |
| Condone missing brackets eg \(C\) 17, 18 | B1 |
| Coordinates can be implied eg \(D \quad x = 23 \quad y = 14\) | B1 |
| Condone answers given as vectors for B2, B1 or SC1 eg \(C \begin{pmatrix} 17 \\ 18 \end{pmatrix}\) | B1 |
| SC1 C cannot be (5, 26) or (11, 22) and coordinates of \(D\) must be evaluated eg \(C\) (15, 17) and \(D\) (21, 13) | SC1 |