| Exam Board | OCR MEI |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Year | 2006 |
| Session | June |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Indices and Surds |
| Type | Evaluate numerical powers |
| Difficulty | Easy -1.3 This is a straightforward indices manipulation question requiring only direct application of basic index laws. Part (i) involves simplifying a fraction of fourth roots (routine calculation), and part (ii) requires expanding brackets and cancelling terms using standard index rules. Both parts are mechanical exercises with no problem-solving element, making this easier than average for A-level. |
| Spec | 1.02a Indices: laws of indices for rational exponents |
| Answer | Marks | Guidance |
|---|---|---|
| (i) \(\frac{4}{27}\) | 2 marks | 1 for \(4\) or \(27\) |
| (ii) \(3a^{10}b^6c^2\) or \(\frac{3a^{10}b^6}{c^2}\) | 3 marks | 2 for \(3\) 'elements' correct, 1 for 2 elements correct, \(-1\) for any adding of elements; mark final answer; condone correct but unnecessary brackets |
| 5 marks |
(i) $\frac{4}{27}$ | 2 marks | 1 for $4$ or $27$
(ii) $3a^{10}b^6c^2$ or $\frac{3a^{10}b^6}{c^2}$ | 3 marks | 2 for $3$ 'elements' correct, 1 for 2 elements correct, $-1$ for any adding of elements; mark final answer; condone correct but unnecessary brackets
| | 5 marks |Simplify the following.
\begin{enumerate}[label=(\roman*)]
\item $\frac{16^{\frac{1}{4}}}{81^{\frac{1}{4}}}$ [2]
\item $\frac{12(a^3b^2c)^4}{4a^2c^6}$ [3]
\end{enumerate}
\hfill \mbox{\textit{OCR MEI C1 2006 Q9 [5]}}