| Exam Board | OCR |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Marks | 3 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Discriminant and conditions for roots |
| Type | Find range for two distinct roots |
| Difficulty | Moderate -0.8 This is a straightforward discriminant question requiring only the standard formula b²-4ac > 0 and solving a simple linear inequality. It's below average difficulty as it's a direct application of a single technique with no complications or multi-step reasoning. |
| Spec | 1.02d Quadratic functions: graphs and discriminant conditions |
\begin{enumerate}
\item Find the set of values of the constant $k$ such that the equation
\end{enumerate}
$$x ^ { 2 } - 6 x + k = 0$$
has real and distinct roots.\\
\hfill \mbox{\textit{OCR C1 Q1 [3]}}