| Exam Board | Edexcel |
|---|---|
| Module | FP2 (Further Pure Mathematics 2) |
| Year | 2006 |
| Session | January |
| Marks | 6 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Second order differential equations |
| Type | Standard non-homogeneous with polynomial RHS |
| Difficulty | Moderate -0.3 This is a rational inequality requiring sign analysis and critical point identification. While it involves multiple steps (rearranging, finding critical points, testing intervals), it's a standard FP2 technique with straightforward algebra. The 6 marks suggest moderate length but the conceptual demand is routine for Further Maths students. |
| Spec | 1.02g Inequalities: linear and quadratic in single variable1.02h Express solutions: using 'and', 'or', set and interval notation |
Find the set of values of $x$ for which $\frac { x ^ { 2 } } { x - 2 } > 2 x$.\\
(Total 6 marks)
\hfill \mbox{\textit{Edexcel FP2 2006 Q1 [6]}}