| Exam Board | OCR |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Marks | 6 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Inequalities |
| Type | Combined linear and quadratic inequalities |
| Difficulty | Moderate -0.3 Part (i) is a standard quadratic inequality requiring factorisation and sign analysis. Part (ii) adds a simple linear inequality and asks for the intersection of solution sets. This is routine C1 material with straightforward techniques, making it slightly easier than average, though the two-part structure and set intersection prevent it from being trivial. |
| Spec | 1.02g Inequalities: linear and quadratic in single variable1.02h Express solutions: using 'and', 'or', set and interval notation |
\begin{enumerate}
\item (i) Solve the inequality
\end{enumerate}
$$x ^ { 2 } + 3 x > 10 .$$
(ii) Find the set of values of $x$ which satisfy both of the following inequalities:
$$\begin{aligned}
& 3 x - 2 < x + 3 \\
& x ^ { 2 } + 3 x > 10
\end{aligned}$$
\hfill \mbox{\textit{OCR C1 Q5 [6]}}