| Exam Board | OCR |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Marks | 7 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Inequalities |
| Type | Solve quadratic inequality |
| Difficulty | Moderate -0.8 This is a straightforward quadratic inequality requiring a sketch and algebraic solution. The parabola is in completed square form (minimal manipulation needed), and solving the inequality involves expanding, rearranging to standard form, factorising, and reading off the solution from a sign diagram or sketch. This is easier than average as it's a routine textbook exercise with clear steps and no conceptual surprises. |
| Spec | 1.02g Inequalities: linear and quadratic in single variable1.02i Represent inequalities: graphically on coordinate plane1.02n Sketch curves: simple equations including polynomials |
\begin{enumerate}
\item (i) Sketch on the same diagram the curve with equation $y = ( x - 2 ) ^ { 2 }$ and the straight line with equation $y = 2 x - 1$.
\end{enumerate}
Label on your sketch the coordinates of any points where each graph meets the coordinate axes.\\
(ii) Find the set of values of $x$ for which
$$( x - 2 ) ^ { 2 } > 2 x - 1$$
\hfill \mbox{\textit{OCR C1 Q5 [7]}}