Foundation November 2024 Paper 1 Q18
18 \(J\,(0, 12)\) and \(K\,(5, 10)\) are points on the straight line \(JKLM\).

Not drawn accurately
\(JK = KL = LM\)
Work out the coordinates of \(M\). [3 marks]
| Answer | Mark | Comments |
|---|---|---|
| \(x\)-coordinate of \(L = 10\) or \(y\)-coordinate of \(L = 8\) or 10 marked on \(x\)-axis below \(L\) and 8 marked on \(y\)-axis left of \(L\) or (\(x\)-coordinate of \(M =\)) \(5 + 5 + 5\) or (\(y\)-coordinate of \(M =\)) \(12 - 2 - 2 - 2\) or 15 marked on \(x\)-axis below \(M\) or 6 marked on \(y\)-axis left of \(M\) | M1 | oe |
| (\(L\)) (10, 8) or (\(M\)) (15, …) or (…, 6) or 15 marked on \(x\)-axis below \(M\) and 6 marked on \(y\)-axis left of \(M\) | A1 | condone missing brackets if intention is clear |
| 15, 6 | A1 | SC2 (6, 15) |
Additional guidance
| (10, 8, 15, 6) (ie both sets of coordinates on answer line) correctly assigned to \(L\) and \(M\) previously (10, 8, 15, 6) on answer line not correctly assigned to \(L\) and \(M\) previously | M1A1A1 M1A1A0 |
| Accept correct working on diagram and/or correct answer on diagram if not contradicted by answer line |