Foundation November 2022 Paper 1 Q25
25 The diagram shows an isosceles triangle, ABC.
Not to scale
AB = AC = 19 cm.
Angle BAC = 54°.
Calculate the length of BC.
You must show your working.
.................... cm [5]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 17 or 17.2 to 17.3 with correct working | 5 | M4 for \((\sin 27 \times 19) \times 2\) or \((\cos 63 \times 19) \times 2\) or M3 for \(\sin 27 \times 19\) or \(\cos 63 \times 19\) or M2 for \(\sin 27 = \dfrac{x}{19}\) oe or \(\cos 63 = \dfrac{x}{19}\) oe or B1 for 27 as angle If 0 or 1 scored, instead award SC2 for 17.2 to 17.3 with no or insufficient working If 0 scored, instead award SC1 for 8.6 or 8.62 to 8.63 or 17 with no or insufficient working | “Correct working” requires evidence of at least M2 May be seen in the correct place on the diagram Accept fully correct alternative methods |