Foundation June 2018 Paper 1 Q26
26 \(A\) (0, 2) and \(B\) (6, 5) are points on the straight line \(ABCD\).
Not drawn accurately
\(AB = BC = CD\)
Work out the coordinates of \(D\). [3 marks]
| Answer | Mark | Comments |
|---|---|---|
| \(x\)-coordinate of \(C = 12\) or \(y\)-coordinate of \(C = 8\) or 12 marked on \(x\)-axis below \(C\) and 8 marked on \(y\)-axis left of \(C\) or \(x\)-coordinate of \(D = 6 + 6 + 6\) or \(y\)-coordinate of \(D = 2 + 3 + 3 + 3\) or \(\dfrac{x}{6} = 3\) or \(6 = (2 \times 0 + x) \div 3\) or \(\dfrac{y - 2}{5 - 2} = 3\) or \(5 = (2 \times 2 + y) \div 3\) or 18 marked on \(x\)-axis below \(D\) or 11 marked on \(y\)-axis left of \(D\) | M1 | oe sets up a correct equation for \(x\)-coordinate of \(D\) or \(y\)-coordinate of \(D\) |
| (\(C\) is the point) (12, 8) or (\(D\) is the point) (18, \(\ldots\)) or (\(\ldots\), 11) or 18 marked on \(x\)-axis below \(D\) and 11 marked on \(y\)-axis left of \(D\) | A1 | condone missing brackets if intention is clear |
| 18, 11 | A1 |
Additional guidance
| (12,8 , 18,11) on answer line with previous link to \(C\) and \(D\) (12,8 , 18,11) on answer line with no previous link to \(C\) and \(D\) | M1A1A1 M1A1A0 |
| 12, 8 on answer line with no other working | M1A1A0 |
| Accept correct working on diagram and correct answer on diagram if not contradicted by answer line | |
| 11, 18 on answer line does not score the last mark, but may score M1A0 or M1A1 | |
| 11, 18 with no working | M0A0A0 |