4MA0 Higher June 2011 Paper 4 Q6
6 The diagram shows a trapezium \(PQRS\).
Diagram NOT accurately drawn
(a) Calculate the area of the trapezium \(PQRS\). (2)
(b) Calculate the length \(PQ\).
Give your answer correct to 3 significant figures. (4)
Give your answer correct to 3 significant figures. (4)
| Scheme | Marks |
|---|---|
| ½ (6+8) × 5 or ½ × 2 × 5 + 6 × 5 | M1 |
| 35 | A1 |
| (2) |
Notes
Apart from questions 5b, 8, 15d, 20b, 21b, 23, 24b (where the mark scheme states otherwise) the correct answer, unless clearly obtained by an incorrect method, should be taken to imply correct working.
| Scheme | Marks |
|---|---|
| 8 − 6 (=2) and 5 seen | B1 |
| (\(PQ^2\)=) (“8 − 6”)\(^2\) + \(5^2\) (=29) | M1 (dep) |
| (\(PQ\)=) \(\sqrt{\text{“}29\text{”}}\) | M1 (dep) |
| 5.39 | A1 |
| (4) | |
| (Total 6 marks) |
Notes
B1: could be seen on diagram
M1 (dep): (\(\theta\)=) \(\tan^{-1}\) (5/“8 − 6”) (=68.2 or better)
M1 (dep): (PQ=) “8−6”/ cos “68.2” or 5 / sin “68.2”
A1: 5.38516..... awrt 5.39