| Exam Board | OCR MEI |
|---|---|
| Module | FP1 (Further Pure Mathematics 1) |
| Year | 2005 |
| Session | January |
| Marks | 7 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Simultaneous equations |
| Type | Line intersecting reciprocal curve |
| Difficulty | Standard +0.3 Part (i) is a standard algebraic manipulation (clearing fractions, solving quadratic) that's routine for Further Maths students. Part (ii) requires understanding of sign analysis and critical points for rational inequalities, which adds modest complexity but remains a textbook exercise with clear methodology. Slightly above average due to the inequality component and need for careful consideration of the domain restriction at x = -2. |
| Spec | 1.02g Inequalities: linear and quadratic in single variable1.02k Simplify rational expressions: factorising, cancelling, algebraic division |
3 (i) Solve the equation $\frac { 1 } { x + 2 } = 3 x + 4$.\\
(ii) Solve the inequality $\frac { 1 } { x + 2 } \leqslant 3 x + 4$.
\hfill \mbox{\textit{OCR MEI FP1 2005 Q3 [7]}}