| Exam Board | OCR MEI |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Year | 2006 |
| Session | January |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Discriminant and conditions for roots |
| Type | Find range for no real roots |
| Difficulty | Moderate -0.8 This is a straightforward C1 discriminant question requiring only standard recall and application of b²-4ac ≥ 0, followed by a routine perfect square trinomial factorization. Both parts are textbook exercises with no problem-solving insight needed, making it easier than average but not trivial since it requires correct algebraic manipulation. |
| Spec | 1.02d Quadratic functions: graphs and discriminant conditions1.02f Solve quadratic equations: including in a function of unknown |
\begin{enumerate}[label=(\roman*)]
\item Find the range of values of $k$ for which the equation $x^2 + 5x + k = 0$ has one or more real roots. [3]
\item Solve the equation $4x^2 + 20x + 25 = 0$. [2]
\end{enumerate}
\hfill \mbox{\textit{OCR MEI C1 2006 Q9 [5]}}