| Exam Board | OCR |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Marks | 7 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Indices and Surds |
| Type | Solve equations with surds |
| Difficulty | Moderate -0.8 Part (i) is routine index manipulation with a mixed number requiring conversion to improper fraction. Part (ii) involves basic algebraic rearrangement and rationalizing the denominator—standard C1 techniques with no problem-solving insight required. Slightly easier than average due to straightforward methods. |
| Spec | 1.02a Indices: laws of indices for rational exponents1.02b Surds: manipulation and rationalising denominators |
\begin{enumerate}
\item (i) Evaluate $\left( 5 \frac { 4 } { 9 } \right) ^ { - \frac { 1 } { 2 } }$.\\
(ii) Find the value of $x$ such that
\end{enumerate}
$$\frac { 1 + x } { x } = \sqrt { 3 } ,$$
giving your answer in the form $a + b \sqrt { 3 }$ where $a$ and $b$ are rational.\\
\hfill \mbox{\textit{OCR C1 Q6 [7]}}