OCR MEI C4 2009 January — Question 1 6 marks

Exam BoardOCR MEI
ModuleC4 (Core Mathematics 4)
Year2009
SessionJanuary
Marks6
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicPartial Fractions
TypePartial fractions with quadratic in denominator
DifficultyModerate -0.5 This is a straightforward partial fractions question with a standard form (linear factor and irreducible quadratic). It requires routine application of the cover-up method and algebraic manipulation, but involves no problem-solving or novel insight—slightly easier than average due to its mechanical nature and being a single-step question worth few marks.
Spec1.02y Partial fractions: decompose rational functions

1 Express \(\frac { 3 x + 2 } { x \left( x ^ { 2 } + 1 \right) }\) in partial fractions.

Question 1:
AnswerMarks Guidance
Answer/WorkingMarks Guidance
\(\frac{400\pi d}{1000} = 10\)M1
\(d = \frac{25}{\pi} = 7.96\)E1
## Question 1:
| Answer/Working | Marks | Guidance |
|---|---|---|
| $\frac{400\pi d}{1000} = 10$ | M1 | |
| $d = \frac{25}{\pi} = 7.96$ | E1 | |
1 Express $\frac { 3 x + 2 } { x \left( x ^ { 2 } + 1 \right) }$ in partial fractions.

\hfill \mbox{\textit{OCR MEI C4 2009 Q1 [6]}}