| Exam Board | OCR |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Marks | 4 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Indices and Surds |
| Type | Evaluate numerical powers |
| Difficulty | Easy -1.8 This is a very routine C1 question testing basic manipulation of surds and negative indices. Part (i) requires simple rationalisation (dividing 21 by √7), and part (ii) is direct recall that 8^(-1) = 1/8. Both are standard textbook exercises with no problem-solving element, making this significantly easier than average A-level questions. |
| Spec | 1.02a Indices: laws of indices for rational exponents1.02b Surds: manipulation and rationalising denominators |
\begin{enumerate}[label=(\roman*)]
\item Express $\frac{21}{\sqrt{7}}$ in the form $k\sqrt{7}$. [2]
\item Express $8^{-1}$ as an exact fraction in its simplest form. [2]
\end{enumerate}
\hfill \mbox{\textit{OCR C1 Q1 [4]}}