| Exam Board | OCR MEI |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Indices and Surds |
| Type | Rationalize denominator simple |
| Difficulty | Easy -1.2 This is a routine C1 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 insight needed. The multi-step nature of part (ii) adds minimal difficulty. |
| Spec | 1.02b Surds: manipulation and rationalising denominators |
| Answer | Marks |
|---|---|
| 4 | (ii) √3 |
| Answer | Marks |
|---|---|
| numerator = 10 | 2 |
| Answer | Marks |
|---|---|
| B1 | M1 for √48 = 4√3 |
| Answer | Marks |
|---|---|
| allow 3 only for 10/23 | 5 |
Question 4:
4 | (ii) √3
(iiii)) common denominat
(5 − √2)(5 + √2)
=23
numerator = 10 | 2
M1
A1
B1 | M1 for √48 = 4√3
5− 2 5+ 2
allow M1A1 for +
23 23
allow 3 only for 10/23 | 5\begin{enumerate}[label=(\roman*)]
\item Write $\sqrt{48} + \sqrt{3}$ in the form $a\sqrt{b}$, where $a$ and $b$ are integers and $b$ is as small as possible. [2]
\item Simplify $\frac{1}{5 + \sqrt{2}} + \frac{1}{5 - \sqrt{2}}$. [3]
\end{enumerate}
\hfill \mbox{\textit{OCR MEI C1 Q4 [5]}}