| Exam Board | OCR |
|---|---|
| Module | H240/02 (Pure Mathematics and Statistics) |
| Year | 2017 |
| Session | Specimen |
| Marks | 4 |
| Topic | Indices and Surds |
| Type | Simplify algebraic expressions with indices |
| Difficulty | Easy -1.8 This is a straightforward algebraic manipulation question testing basic index laws and surds. Both parts require only direct application of standard rules (√x × √y = √(xy) and power laws) with no problem-solving or conceptual depth. This is significantly easier than typical A-level questions, being more appropriate for GCSE Higher or AS warm-up material. |
| Spec | 1.02a Indices: laws of indices for rational exponents1.02b Surds: manipulation and rationalising denominators |
Simplify fully.
\begin{enumerate}[label=(\alph*)]
\item $\sqrt{a^3} \times \sqrt{16a}$ [2]
\item $(4b^6)^{\frac{3}{2}}$ [2]
\end{enumerate}
\hfill \mbox{\textit{OCR H240/02 2017 Q1 [4]}}