| Exam Board | OCR MEI |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Year | 2012 |
| Session | June |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Indices and Surds |
| Type | Rationalize denominator simple |
| Difficulty | Moderate -0.8 This is a straightforward surds manipulation question testing standard techniques (simplifying surds and rationalising denominators). Part (i) requires recognising √24 = 2√6 and simplifying, while part (ii) uses the difference of two squares pattern. Both are routine textbook exercises with no problem-solving required, making this easier than average but not trivial since students must execute multiple algebraic steps correctly. |
| Spec | 1.02b Surds: manipulation and rationalising denominators |
\begin{enumerate}[label=(\roman*)]
\item Simplify $\frac{10\sqrt{6}}{3}{\sqrt{24}}$. [3]
\item Simplify $\frac{1}{4 - \sqrt{5}} + \frac{1}{4 + \sqrt{5}}$. [2]
\end{enumerate}
\hfill \mbox{\textit{OCR MEI C1 2012 Q5 [5]}}