Higher June 2024 Paper 4 Q2
2 The diagram shows a triangle and a trapezium.

Not to scale
Show that they have the same area. [3]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| \(\frac{1}{2} \times 18 \times 6.4\) | M1 | Allow equivalents for both M1s but it must be full and correct working and allow any correct method e.g. M1 for \(\frac{9 + 15}{2} \times 4.8 = 57.6\) M1 for \(57.6 \div 9 = 6.4\) = height A1 for 6.4 | |
| \(\frac{9 + 15}{2} \times 4.8\) oe | M1 | Condone 24 for 9 + 15 and 9 for \(\frac{1}{2} \times 18\). | |
| [both answers =] 57.6 or \(\frac{288}{5}\) oe | A1 | A1 dep on M1 M1 | e.g. \(\frac{115.2}{2}\) |