| Exam Board | WJEC |
|---|---|
| Module | Unit 1 (Unit 1) |
| Year | 2019 |
| Session | June |
| Marks | 6 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Indices and Surds |
| Type | Rationalize denominator simple |
| Difficulty | Moderate -0.8 This is a straightforward surds rationalization and simplification exercise requiring standard techniques (multiplying by conjugate, simplifying nested radicals). Both parts are routine AS-level algebra with no problem-solving or insight needed, making it easier than average but not trivial since it requires careful algebraic manipulation across multiple steps. |
| Spec | 1.02b Surds: manipulation and rationalising denominators |
Given that $a$, $b$ are integers, simplify the following. Show all your working.
\begin{enumerate}[label=(\alph*)]
\item $\frac{2\sqrt{3} + a}{\sqrt{3} - 1}$ [3]
\item $\frac{2\sqrt{6b^2} - \sqrt{27} + \sqrt{192}}{\sqrt{2}}$ [3]
\end{enumerate}
\hfill \mbox{\textit{WJEC Unit 1 2019 Q07 [6]}}