| Exam Board | OCR MEI |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Marks | 3 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Inequalities |
| Type | Solve quadratic inequality |
| Difficulty | Moderate -0.8 This is a straightforward quadratic inequality requiring factorisation (or quadratic formula), identification of critical values, and sketching a parabola to determine solution regions. It's a standard C1 exercise with routine steps and no complications, making it easier than average but not trivial since it requires understanding of inequality solution methods. |
| Spec | 1.02f Solve quadratic equations: including in a function of unknown1.02g Inequalities: linear and quadratic in single variable |
**Question 2:**
M1: $(3x + 1)(x + 3)$ or $3(x + 1/3)(x + 3)$ or for $1/3$ and $3$ found as endpoints eg by use of formula
A1: $x < 3$ [or] $x > 1/3$ oe
A1: (final answers marked)
**Guidance notes:**
Allow only A1 for $3 > x > 1/3$ oe as final answer or for $x \leq 3$ and $x \geq 1/3$
If M0, allow SC1 for sketch of parabola the right way up with their solns ft their endpoints
A0 for combinations with only one part correct eg $3 > x < 1/3$, though this would earn M1 if not already awarded2 Solve the inequality $3 x ^ { 2 } + 10 x + 3 > 0$.
\hfill \mbox{\textit{OCR MEI C1 Q2 [3]}}