OCR C4 — Question 1 4 marks

Exam BoardOCR
ModuleC4 (Core Mathematics 4)
Marks4
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicPartial Fractions
TypeSimplify algebraic fractions by addition or subtraction
DifficultyModerate -0.3 This is a straightforward algebraic fraction problem requiring finding a common denominator and simplifying. While it involves some algebraic manipulation, it's a routine procedural question with no conceptual difficulty beyond standard fraction arithmetic—slightly easier than average for A-level.
Spec1.02k Simplify rational expressions: factorising, cancelling, algebraic division

  1. Express
$$\frac { x - 10 } { ( x - 3 ) ( x + 4 ) } - \frac { x - 8 } { ( x - 3 ) ( 2 x - 1 ) }$$ as a single fraction in its simplest form.

\begin{enumerate}
  \item Express
\end{enumerate}

$$\frac { x - 10 } { ( x - 3 ) ( x + 4 ) } - \frac { x - 8 } { ( x - 3 ) ( 2 x - 1 ) }$$

as a single fraction in its simplest form.\\

\hfill \mbox{\textit{OCR C4  Q1 [4]}}