1MA0 Higher March 2013 Paper 2 Q15
15
Diagram NOT accurately drawn
\(PQR\) and \(PTS\) are straight lines.
Angle \(PTQ\) = Angle \(PSR = 90^\circ\)
\(QT = 4\) cm
\(RS = 12\) cm
\(TS = 10\) cm
(a) Work out the area of the trapezium \(QRST\). (2)
(b) Work out the length of \(PT\). (3)
| Working | Answer | Mark | Notes |
|---|---|---|---|
| \(\frac{1}{2} \times (4 + 12) \times 10\) | 80 | 2 | M1 for a fully correct method for area of \(QRST\) A1 cao |
| Working | Answer | Mark | Notes |
|---|---|---|---|
| For example \(\dfrac{PT + 10}{PT} = \dfrac{12}{4} = 3\) \(PT + 10 = 3PT\) \(2PT = 10\) | 5 | 3 | M1 for a correct scale factor or ratio using two corresponding sides from two similar triangles or two sides within the same triangle (may be seen within an equation) eg. \(\frac{12}{4}\) oe or 4 : 12 oe or \(\frac{PT}{4}\) or \(\frac{PS}{12}\) or \(\frac{12}{12 - 4}\) etc. M1 for a correct equation with \(PT\) or \(PS\) as the only variable or complete correct method using scale factor A1 cao |