Higher June 2019 Paper 2 Q19
19 Work out the area of the trapezium. [4 marks]
Not drawn accurately
| Answer | Mark | Comments |
|---|---|---|
| \(\tan 64 = \dfrac{h}{4}\) or \(\tan 26 = \dfrac{4}{h}\) or \(\dfrac{h}{\sin 64} = \dfrac{4}{\sin 26}\) | M1 | oe eg \(\tan 64 = \dfrac{h}{15 - 11}\) or \(\tan(90 - 64) = \dfrac{15 - 11}{h}\) or \(h^2 + 4^2 = \left(\dfrac{4}{\cos 64}\right)^2\) any letter |
| \(4 \tan 64\) or \(\dfrac{4}{\tan 26}\) or \(\dfrac{4}{\sin 26} \times \sin 64\) or 8.2… | M1dep | oe eg \(\sqrt{\left(\dfrac{4}{\cos 64}\right)^2 - 4^2}\) implies M2 may be seen on diagram |
| \(\dfrac{1}{2} \times (15 + 11) \times\) their 8.2… or \(\dfrac{1}{2} \times 4 \times\) their 8.2.. + \(11 \times\) their 8.2.. | M1dep | oe eg \(15 \times\) their 8.2… \(- \dfrac{1}{2} \times 4 \times\) their 8.2… dep on M2 |
| [106.6, 106.62] | A1 | accept 107 with working seen |
Additional guidance
| 3rd M1 is for a total area and may be calculated as a trapezium or a rectangle + a triangle or a rectangle – a triangle or a triangle + a triangle | |
| 8.2… seen scores M2 even if not subsequently used | |
| Further work after 106.6 eg 106.6 + 16.4 | M1M1M0A0 |