| Exam Board | WJEC |
|---|---|
| Module | Unit 1 (Unit 1) |
| Year | 2024 |
| Session | June |
| Marks | 7 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Indices and Surds |
| Type | Solve power equations |
| Difficulty | Moderate -0.8 Part (a) requires simplifying indices using standard laws (subtract powers) then solving a simple equation - routine manipulation. Part (b) is algebraic simplification involving surds, likely requiring recognition of difference of squares or factorization of the numerator. Both are standard AS-level techniques with no problem-solving insight required, making this easier than average but not trivial due to the surd manipulation in part (b). |
| Spec | 1.02a Indices: laws of indices for rational exponents1.02b Surds: manipulation and rationalising denominators |
\begin{enumerate}[label=(\alph*)]
\item Find the exact value of $x$ that satisfies the equation
$$\frac{7x^{\frac{5}{4}}}{x^{\frac{1}{2}}} = \sqrt{147}.$$ [4]
\item Show that $\frac{(8x-18)}{(2\sqrt{x}-3)}$, where $x \neq \frac{9}{4}$, may be written as $2(2\sqrt{x}+3)$. [3]
\end{enumerate}
\hfill \mbox{\textit{WJEC Unit 1 2024 Q6 [7]}}