1MA0 Higher June 2014 Paper 2 Q9
9 The diagram shows a trapezium.
Diagram NOT accurately drawn
\(AD = x\) cm.
\(BC\) is the same length as \(AD\).
\(AB\) is twice the length of \(AD\).
\(DC\) is 4 cm longer than \(AB\).
The perimeter of the trapezium is 38 cm.
Work out the length of \(AD\). (4)
| Answer | Mark | Notes |
|---|---|---|
| \(5\dfrac{2}{3}\) | 4 | M1 for \(AB = 2x\) or \(DC = 2x + 4\) or for \(38 - 4\) M1(dep) for \(x + \text{``}x\text{''} + \text{``}2x\text{''} + \text{``}2x + 4\text{''}\) or for \(\text{``}38 - 4\text{''} \div 6\) M1 for \(\text{``}6x + 4\text{''} = 38\) A1 for \(5\dfrac{2}{3}\) oe NB: Accept answers in the range 5.6 to 5.7 if M3 scored. SC if M0 then B2 for answer in range 5.6 – 5.7 |