| 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 | Evaluate numerical powers |
| Difficulty | Easy -1.8 This is a straightforward C1 indices question testing basic recall of index laws with minimal problem-solving. Part (i) requires simple application of power and multiplication rules, while parts (ii) and (iii) are direct evaluation of fractional/negative powers with no conceptual challenge—significantly easier than typical A-level questions. |
| Spec | 1.02a Indices: laws of indices for rational exponents |
| Answer | Marks | Guidance |
|---|---|---|
| (i) \(250a^6b^7\) | 2 | B1 for two elements correct; condone multiplication signs left in SC1 for eg \(250 + a^6 + b^7\) |
| (ii) \(16 \text{ cao}\) | 1 | |
| (iii) \(64\) | 2 | condone \(\pm64\) M1 for \([\pm]4^3\) or for \(\sqrt[3]{4096}\) or for only \(-64\) |
(i) $250a^6b^7$ | 2 | B1 for two elements correct; condone multiplication signs left in SC1 for eg $250 + a^6 + b^7$
(ii) $16 \text{ cao}$ | 1 |
(iii) $64$ | 2 | condone $\pm64$ M1 for $[\pm]4^3$ or for $\sqrt[3]{4096}$ or for only $-64$\begin{enumerate}[label=(\roman*)]
\item Simplify $(5a^2b)^3 \times 2b^4$. [2]
\item Evaluate $\left(\frac{1}{16}\right)^{-1}$. [1]
\item Evaluate $(16)^{\frac{1}{2}}$. [2]
\end{enumerate}
\hfill \mbox{\textit{OCR MEI C1 2010 Q2 [5]}}