| Exam Board | OCR |
|---|---|
| Module | C4 (Core Mathematics 4) |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Partial Fractions |
| Type | Simplify algebraic fractions by addition or subtraction |
| Difficulty | Moderate -0.8 This question involves routine algebraic manipulation: factorising quadratics, finding common denominators, and simplifying. Part (i) is straightforward factorisation and cancellation. Part (ii) requires combining fractions over a common denominator, which is standard C4 algebra. No conceptual difficulty or problem-solving insight required—purely procedural skills that are easier than typical A-level questions. |
| Spec | 1.02k Simplify rational expressions: factorising, cancelling, algebraic division |
\begin{enumerate}
\item (i) Simplify
\end{enumerate}
$$\frac { x ^ { 2 } + 7 x + 12 } { 2 x ^ { 2 } + 9 x + 4 }$$
(ii) Express
$$\frac { x + 4 } { 2 x ^ { 2 } + 3 x + 1 } - \frac { 2 } { 2 x + 1 }$$
as a single fraction in its simplest form.\\
\hfill \mbox{\textit{OCR C4 Q2 [5]}}