| Exam Board | Edexcel |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Marks | 4 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Indices and Surds |
| Type | Expand and simplify surd expressions |
| Difficulty | Easy -1.3 This is a straightforward C1 surds question testing basic manipulation skills: rationalizing a denominator and expanding brackets with surds. Both parts are routine textbook exercises requiring only direct application of standard techniques with no problem-solving or insight needed. Easier than average A-level content. |
| Spec | 1.02b Surds: manipulation and rationalising denominators |
| Answer | Marks | Guidance |
|---|---|---|
| (a) | \(= \frac{18}{\sqrt{3}} \times \frac{\sqrt{3}}{\sqrt{3}} = 6\sqrt{3}\) | M1 A1 |
| (b) | \(= 4 - 2\sqrt{3} - 4\sqrt{3} + 6 = 10 - 6\sqrt{3}\) | M1 A1 |
(a) | $= \frac{18}{\sqrt{3}} \times \frac{\sqrt{3}}{\sqrt{3}} = 6\sqrt{3}$ | M1 A1 |
(b) | $= 4 - 2\sqrt{3} - 4\sqrt{3} + 6 = 10 - 6\sqrt{3}$ | M1 A1 | (4)\begin{enumerate}[label=(\alph*)]
\item Express $\frac{18}{\sqrt{3}}$ in the form $k\sqrt{3}$. [2]
\item Express $(1 - \sqrt{3})(4 - 2\sqrt{3})$ in the form $a + b\sqrt{3}$ where $a$ and $b$ are integers. [2]
\end{enumerate}
\hfill \mbox{\textit{Edexcel C1 Q1 [4]}}