OCR MEI C4 2014 June — Question 1 5 marks

Exam BoardOCR MEI
ModuleC4 (Core Mathematics 4)
Year2014
SessionJune
Marks5
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicPartial Fractions
TypePartial fractions with quadratic in denominator
DifficultyModerate -0.3 This is a straightforward partial fractions question with a linear factor and an irreducible quadratic factor. It requires standard technique (setting up the form A/(2-x) + (Bx+C)/(4+x²) and solving for coefficients) but involves no problem-solving or conceptual difficulty beyond routine application of the method taught in C4.
Spec1.02y Partial fractions: decompose rational functions

Express \(\frac{3x}{(2-x)(4+x^2)}\) in partial fractions. [5]

Question 1:

AnswerMarks
1 (i)Group P Q R S
Number of people 15
Average number of accidents in a year 4.5
Average cost of accidents per year £7500 £9000
AnswerMarks Guidance
GroupP Q
Number of people15
Average number of accidents in a year4.5
Average cost of accidents per year£7500 £9000

1 (ii)

1 (iii)
Question 1:
--- 1 (i) ---
1 (i) | Group P Q R S
Number of people 15
Average number of accidents in a year 4.5
Average cost of accidents per year £7500 £9000
Group | P | Q | R | S
Number of people | 15
Average number of accidents in a year | 4.5
Average cost of accidents per year | £7500 | £9000
--- 1 (ii) ---
1 (ii)
--- 1 (iii) ---
1 (iii)
Express $\frac{3x}{(2-x)(4+x^2)}$ in partial fractions. [5]

\hfill \mbox{\textit{OCR MEI C4 2014 Q1 [5]}}