| Exam Board | OCR |
|---|---|
| Module | C4 (Core Mathematics 4) |
| Year | 2010 |
| Session | June |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Partial Fractions |
| Type | Repeated linear factor with distinct linear factor – decompose only |
| Difficulty | Moderate -0.3 This is a standard partial fractions question with a repeated linear factor, requiring the form A/(x-1) + B/(x-1)² + C/(x-2). While it involves algebraic manipulation and solving simultaneous equations, it's a routine textbook exercise with no novel problem-solving required. The presence of a repeated factor makes it slightly more involved than the most basic partial fractions questions, but it remains below average difficulty for A-level. |
| Spec | 1.02y Partial fractions: decompose rational functions |
3 Express $\frac { x ^ { 2 } } { ( x - 1 ) ^ { 2 } ( x - 2 ) }$ in partial fractions.
\hfill \mbox{\textit{OCR C4 2010 Q3 [5]}}