| Exam Board | OCR MEI |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Year | 2011 |
| Session | January |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Topic | Solving quadratics and applications |
| Type | Geometric area leads to quadratic |
| Difficulty | Moderate -0.8 This is a straightforward application of the trapezium area formula followed by solving a simple quadratic equation. The question explicitly tells students what equation to derive (removing problem-formulation difficulty) and the quadratic factors easily as (x+7)(x-5)=0. This is easier than average A-level work, being a routine C1 exercise with clear scaffolding. |
| Spec | 1.02f Solve quadratic equations: including in a function of unknown1.02z Models in context: use functions in modelling |
9 Fig. 9 shows a trapezium ABCD , with the lengths in centimetres of three of its sides.
\begin{figure}[h]
\begin{center}
\includegraphics[alt={},max width=\textwidth]{754d34e4-2f47-48b7-9fbb-6caa7ac21eb7-3_464_878_347_632}
\captionsetup{labelformat=empty}
\caption{Fig. 9}
\end{center}
\end{figure}
This trapezium has area $140 \mathrm {~cm} ^ { 2 }$.\\
(i) Show that $x ^ { 2 } + 2 x - 35 = 0$.\\
(ii) Hence find the length of side AB of the trapezium.
\hfill \mbox{\textit{OCR MEI C1 2011 Q9 [5]}}