| Exam Board | OCR MEI |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Year | 2009 |
| Session | January |
| Marks | 4 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Numerical integration |
| Type | Trapezium rule applied to real-world data |
| Difficulty | Easy -1.2 This is a straightforward application of the trapezium rule with coordinates provided directly from a diagram. Students simply substitute the given y-values into the standard formula with no problem-solving, curve analysis, or algebraic manipulation required—purely mechanical calculation. |
| Spec | 1.09f Trapezium rule: numerical integration |
2 Fig. 2 shows the coordinates at certain points on a curve.
\begin{figure}[h]
\begin{center}
\includegraphics[alt={},max width=\textwidth]{838d6b15-69a9-4e67-bc36-5bf60254a767-2_645_1146_589_497}
\captionsetup{labelformat=empty}
\caption{Fig. 2}
\end{center}
\end{figure}
Use the trapezium rule with 6 strips to calculate an estimate of the area of the region bounded by this curve and the axes.
\hfill \mbox{\textit{OCR MEI C2 2009 Q2 [4]}}