| Exam Board | Edexcel |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Marks | 4 |
| Paper | Download PDF ↗ |
| Topic | Indices and Surds |
| Type | Expand and simplify surd expressions |
| Difficulty | Easy -1.3 This is a straightforward C1 surds question requiring only basic manipulation techniques: simplifying a surd by factoring out perfect squares, and expanding brackets with surds. Both parts are routine textbook exercises with no problem-solving element, making it easier than average but not trivial since part (b) requires careful algebraic manipulation. |
| Spec | 1.02b Surds: manipulation and rationalising denominators |
\begin{enumerate}[label=(\alph*)]
\item Express $\sqrt{108}$ in the form $a\sqrt{3}$, where $a$ is an integer. [1]
\item Express $(2 - \sqrt{3})^2$ in the form $b + c\sqrt{3}$, where $b$ and $c$ are integers to be found. [3]
\end{enumerate}
\hfill \mbox{\textit{Edexcel C1 Q2 [4]}}