| Exam Board | OCR MEI |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Indices and Surds |
| Type | Expand and simplify surd expressions |
| Difficulty | Moderate -0.8 This is a straightforward surds manipulation question testing basic rules. Part (i) requires multiplying surds and simplifying √24, while part (ii) involves expanding brackets with surds—both are routine C1 exercises requiring only direct application of standard techniques with no problem-solving or insight needed. |
| Spec | 1.02b Surds: manipulation and rationalising denominators |
| Answer | Marks |
|---|---|
| 12 | (ii)) √6 |
| (iiii)) − 12√5 isw | 2 |
| 3 | 1 for 30√6 or 2√6 or 2√2√3 or 28√2√3 |
| Answer | Marks |
|---|---|
| correct terms from 4 − 6√5 − 6√5 + 45 | 5 |
Question 12:
12 | (ii)) √6
(iiii)) − 12√5 isw | 2
3 | 1 for 30√6 or 2√6 or 2√2√3 or 28√2√3
2 for 49 and 1 for − 12√5 or M1 for 3
correct terms from 4 − 6√5 − 6√5 + 45 | 5\begin{enumerate}[label=(\roman*)]
\item Simplify $6\sqrt{2} \times 5\sqrt{3} \times \sqrt{24}$. [2]
\item Express $(2 - 3\sqrt{5})^2$ in the form $a + b\sqrt{5}$, where $a$ and $b$ are integers. [3]
\end{enumerate}
\hfill \mbox{\textit{OCR MEI C1 Q12 [5]}}