| Exam Board | OCR |
|---|---|
| Module | PURE |
| Marks | 7 |
| Paper | Download PDF ↗ |
| Topic | Curve Sketching |
| Type | Basic factored form sketching |
| Difficulty | Easy -1.2 Part (i) is a standard reciprocal function requiring only recall of its basic shape. Part (ii) requires factorising a cubic, finding stationary points via differentiation, and determining their nature—all routine A-level techniques with no novel problem-solving. The 7 total marks reflect straightforward application of standard methods rather than conceptual difficulty. |
| Spec | 1.02n Sketch curves: simple equations including polynomials1.02o Sketch reciprocal curves: y=a/x and y=a/x^21.07n Stationary points: find maxima, minima using derivatives |
Sketch the following curves.
\begin{enumerate}[label=(\roman*)]
\item $y = \frac{2}{x}$ [2]
\item $y = x^3 - 6x^2 + 9x$ [5]
\end{enumerate}
\hfill \mbox{\textit{OCR PURE Q6 [7]}}