| Exam Board | OCR MEI |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Year | 2013 |
| Session | June |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Indices and Surds |
| Type | Express in form with given base |
| Difficulty | Moderate -0.8 Part (i) is straightforward index manipulation (125 = 5³, so answer is 5^3.5). Part (ii) requires rationalizing the denominator by multiplying by the conjugate, then collecting terms - a standard C1 technique but with slightly more algebraic manipulation than the most basic questions. Overall easier than average A-level questions due to being pure procedural recall with no problem-solving or novel insight required. |
| Spec | 1.02a Indices: laws of indices for rational exponents1.02b Surds: manipulation and rationalising denominators |
\begin{enumerate}[label=(\roman*)]
\item Express $125\sqrt{5}$ in the form $5^t$. [2]
\item Simplify $10 + 7\sqrt{5} + \frac{38}{1 - 2\sqrt{5}}$, giving your answer in the form $a + b\sqrt{5}$. [3]
\end{enumerate}
\hfill \mbox{\textit{OCR MEI C1 2013 Q7 [5]}}