June 2016 Paper 2 Q1
1 A triangle has vertices
\[A(2, 5) \qquad B(2, 0) \qquad \text{and} \qquad C(-4, 3)\]Work out the area of triangle \(ABC\).
You may use the grid to help you. [3 marks]
| Answer | Mark | Comments |
|---|---|---|
| Alternative method 1 | ||
| \(\dfrac{1}{2} \times 5 \times 6\) or \(6 \times 5 - \dfrac{1}{2} \times 6 \times 3 - \dfrac{1}{2} \times 6 \times 2\) or \(\dfrac{1}{2} \times 6 \times 3 + \dfrac{1}{2} \times 6 \times 2\) | M2 | Fully correct method M1 Plots correct three points or draws correct triangle |
| 15 | A1 | |
| Alternative method 2 | ||
| \(\dfrac{1}{2} \times 5 \times [6.1, 6.5] \times \sin[70, 74]\) or \(\dfrac{1}{2} \times 5 \times [6.5, 6.9] \times \sin[61, 65]\) or \(\dfrac{1}{2} \times [6.1, 6.5] \times [6.5, 6.9]\) \(\times \sin[43, 47]\) | M2 | Fully correct method with tolerances on measurements M1 Plots correct three points or draws correct triangle |
| 15 with no evidence that rounding has been applied | A1 | eg 14.9 seen in working |
Additional guidance
| 15 from counting squares | M2 A1 |
| Incorrect triangle drawn is zero unless recovered | |
| Answer only of 15 | M2 A1 |