1MA0 Higher November 2014 Paper 1 Q18
18
Diagram NOT accurately drawn
\(ABCD\) and \(AEFG\) are mathematically similar trapeziums.
\(AE = 5\) cm
\(EF = 12\) cm
\(BC = 18\) cm
(a) Work out the length of \(AB\). (2)
Trapezium \(AEFG\) has an area of 36 cm\(^2\).
(b) Work out the area of the shaded region. (3)
| Answer | Mark | Notes |
|---|---|---|
| 7.5 | 2 | M1 for \(\dfrac{12}{18}\) oe or \(\dfrac{18}{12}\) oe or \(\dfrac{12}{5}\) oe or \(\dfrac{5}{12}\) oe A1 cao |
| Answer | Mark | Notes |
|---|---|---|
| 45 | 3 | M1 for \(\left(\text{``}\tfrac{3}{2}\text{''}\right)^2\) oe or \(\left(\text{``}\tfrac{2}{3}\text{''}\right)^2\) oe M1 for complete method to find area of shaded region, eg \(36 \times \text{``}1.5\text{''}^2 - 36\) A1 cao (SC B2 for 81) |