Higher November 2024 Paper 2 Q15
15 \(AB\) and \(CD\) are straight, parallel lines.
\(P\) is a point on \(AB\).
\(Q\) is a point on \(CD\).
\(AP = AQ\)
Not drawn accurately
Work out the value of \(x\). [4 marks]
| Answer | Mark | Comments |
|---|---|---|
| 14 | B4 | B3 correct equation eg \(2x + 5x + 6 + 5x + 6 = 180\) or \(5x + 6 = 90 - x\) or \(2x + 90 - x + 5x + 6 = 180\) or \(5x + 6 = 174 - 7x\) B2 correct expressions for two angles or two different correct expressions for the same angle B1 correct expression for one angle |
Additional guidance
| Correct expressions for angles (which may be seen on the diagram) include angle \(AQC = 2x\) angle \(APQ = 5x + 6\) angle \(AQP = 5x + 6\) angle \(APQ = \dfrac{180 - 2x}{2}\) or \(90 - x\) angle \(AQP = \dfrac{180 - 2x}{2}\) or \(90 - x\) angle \(APQ = 180 - 2x - (5x + 6)\) or \(174 - 7x\) angle \(AQP = 180 - 2x - (5x + 6)\) or \(174 - 7x\) angle \(QPB = 180 - (5x + 6)\) or \(174 - 5x\) angle \(ZPB = 5x + 6\) (\(Z\) is the end of line \(QP\) produced) angle \(ZPA = 180 - (5x + 6)\) or \(174 - 5x\) (\(Z\) is the end of line \(QP\) produced) | |
| B2 may be awarded for the same expression for two different angles eg angle \(APQ = 5x + 6\) and angle \(AQP = 5x + 6\) | B2 |
| Accept eg \(\widehat{AQP}\) for angle \(AQP\) | |
| Do not accept eg (angle) \(P\) for angle \(APQ\) unless shown on the diagram | |
| Ignore reasons |