| Exam Board | OCR MEI |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Year | 2007 |
| Session | January |
| Marks | 4 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Curve Sketching |
| Type | Linear modelling problems |
| Difficulty | Moderate -0.8 This is a straightforward algebraic manipulation using difference of two squares, followed by a simple application of Pythagoras' theorem. Both parts require only routine techniques with no problem-solving insight needed, making it easier than average for A-level. |
| Spec | 1.02j Manipulate polynomials: expanding, factorising, division, factor theorem |
10 Simplify $\left( m ^ { 2 } + 1 \right) ^ { 2 } - \left( m ^ { 2 } - 1 \right) ^ { 2 }$, showing your method.\\
Hence, given the right-angled triangle in Fig. 10, express $p$ in terms of $m$, simplifying your answer.
\begin{figure}[h]
\begin{center}
\includegraphics[alt={},max width=\textwidth]{7791371e-26d9-428c-8700-5121a1c6464a-3_414_593_452_735}
\captionsetup{labelformat=empty}
\caption{Fig. 10}
\end{center}
\end{figure}
\hfill \mbox{\textit{OCR MEI C1 2007 Q10 [4]}}