| Exam Board | OCR MEI |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Marks | 4 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Numerical integration |
| Type | Trapezium rule applied to real-world data |
| Difficulty | Moderate -0.8 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 integration required—purely mechanical calculation making it easier than average. |
| Spec | 1.09f Trapezium rule: numerical integration |
| Answer | Marks | Guidance |
|---|---|---|
| Answer/Working | Mark | Guidance |
| \(95.25\), \(95.3\) or \(95\) | 4 | M3: \(\frac{1}{2} \times 5 \times (4.3+0+2[4.9+4.6+3.9+2.3+1.2])\) M2 with 1 error, M1 with 2 errors. Or M3 for 6 correct trapezia. |
## Question 4:
| Answer/Working | Mark | Guidance |
|---|---|---|
| $95.25$, $95.3$ or $95$ | 4 | M3: $\frac{1}{2} \times 5 \times (4.3+0+2[4.9+4.6+3.9+2.3+1.2])$ M2 with 1 error, M1 with 2 errors. Or M3 for 6 correct trapezia. |
---4 Fig. 2 shows the coordinates at certain points on a curve.
\begin{figure}[h]
\begin{center}
\includegraphics[alt={},max width=\textwidth]{f56da008-e7f5-45b9-8db8-e2ba09ab0161-3_646_1149_285_530}
\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 Q4 [4]}}