| Exam Board | OCR MEI |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Year | 2010 |
| Session | June |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Indices and Surds |
| Type | Rationalize denominator two surds |
| Difficulty | Easy -1.3 This is a routine surds question testing standard techniques: simplifying surds by factoring out perfect squares, and rationalizing denominators. Both parts are textbook exercises requiring only procedural recall with no problem-solving or insight needed. The multi-step nature and 5 total marks prevent it from being trivial, but it remains well below average difficulty for A-level. |
| Spec | 1.02b Surds: manipulation and rationalising denominators |
\begin{enumerate}[label=(\roman*)]
\item Express $\sqrt{48} + \sqrt{27}$ in the form $a\sqrt{3}$. [2]
\item Simplify $\frac{5\sqrt{7}}{3 - \sqrt{2}}$. Give your answer in the form $\frac{b + c\sqrt{7}}{d}$. [3]
\end{enumerate}
\hfill \mbox{\textit{OCR MEI C1 2010 Q5 [5]}}