| Exam Board | OCR |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Marks | 4 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Indices and Surds |
| Type | Solve power equations |
| Difficulty | Easy -1.3 This is a straightforward C1 indices question requiring only direct application of index laws. Part (i) involves raising both sides to the power 2/3, and part (ii) requires converting a mixed number to an improper fraction then applying negative and fractional indices. Both are routine textbook exercises with no problem-solving element, making this easier than average. |
| Spec | 1.02a Indices: laws of indices for rational exponents |
\begin{enumerate}[label=(\roman*)]
\item Solve the equation
$$x^{\frac{3}{2}} = 27.$$ [2]
\item Express $(2\frac{1}{4})^{-\frac{3}{2}}$ as an exact fraction in its simplest form. [2]
\end{enumerate}
\hfill \mbox{\textit{OCR C1 Q3 [4]}}