| Exam Board | OCR MEI |
|---|---|
| Module | C3 (Core Mathematics 3) |
| Marks | 3 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Proof |
| Type | Counter example to disprove statement |
| Difficulty | Moderate -0.8 This question tests understanding of counterexamples and inequalities with reciprocals. Part (i) requires only a simple counterexample (e.g., p=1, q=-1), and part (ii) asks for the standard condition that both must be positive. It's below average difficulty as it requires minimal calculation and tests basic conceptual understanding rather than problem-solving skills. |
| Spec | 1.01a Proof: structure of mathematical proof and logical steps1.01c Disproof by counter example |
\begin{enumerate}[label=(\roman*)]
\item Disprove the following statement.
$$\text{'If } p > q, \text{ then } \frac{1}{p} < \frac{1}{q}.$$ [2]
\item State a condition on $p$ and $q$ so that the statement is true. [1]
\end{enumerate}
\hfill \mbox{\textit{OCR MEI C3 Q8 [3]}}