| Exam Board | OCR MEI |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Year | 2006 |
| Session | January |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Indices and Surds |
| Type | Rationalize denominator simple |
| Difficulty | Easy -1.3 This is a straightforward surds question testing standard techniques: simplifying surds by extracting square factors (part i) and rationalizing denominators (part ii). Both are routine textbook exercises requiring only direct application of well-practiced methods with no problem-solving or insight needed. Easier than average A-level content. |
| Spec | 1.02b Surds: manipulation and rationalising denominators |
\begin{enumerate}[label=(\roman*)]
\item Simplify $5\sqrt{8} + 4\sqrt{50}$. Express your answer in the form $a\sqrt{b}$, where $a$ and $b$ are integers and $b$ is as small as possible. [2]
\item Express $\frac{\sqrt{3}}{6 - \sqrt{3}}$ in the form $p + q\sqrt{3}$, where $p$ and $q$ are rational. [3]
\end{enumerate}
\hfill \mbox{\textit{OCR MEI C1 2006 Q8 [5]}}