| Exam Board | OCR |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Marks | 3 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Completing the square and sketching |
| Type | Complete square then solve equation |
| Difficulty | Moderate -0.5 This is a straightforward completing the square question with a clear target form for the answer. It requires only standard algebraic manipulation (completing the square and rearranging) with no problem-solving insight needed. Slightly easier than average due to being a single-step technique application, though the specific answer form adds minor complexity. |
| Spec | 1.02b Surds: manipulation and rationalising denominators1.02f Solve quadratic equations: including in a function of unknown |
\begin{enumerate}
\item Solve the equation
\end{enumerate}
$$x ^ { 2 } - 4 x - 8 = 0$$
giving your answers in the form $a + b \sqrt { 3 }$ where $a$ and $b$ are integers.\\
\hfill \mbox{\textit{OCR C1 Q1 [3]}}