OCR MEI C1 2009 June — Question 5 4 marks

Exam BoardOCR MEI
ModuleC1 (Core Mathematics 1)
Year2009
SessionJune
Marks4
PaperDownload PDF ↗
TopicBinomial Theorem (positive integer n)
TypeStandard binomial expansion coefficient
DifficultyEasy -1.3 This is a straightforward binomial theorem question testing basic recall and application. Part (i) is direct calculation of a combination, and part (ii) is a standard textbook exercise requiring the binomial coefficient formula with no problem-solving or insight needed. Both parts are routine C1-level exercises with minimal steps.
Spec1.04a Binomial expansion: (a+b)^n for positive integer n

  1. Calculate \(^5C_3\). [2]
  2. Find the coefficient of \(x^3\) in the expansion of \((1 + 2x)^5\). [2]

\begin{enumerate}[label=(\roman*)]
\item Calculate $^5C_3$. [2]
\item Find the coefficient of $x^3$ in the expansion of $(1 + 2x)^5$. [2]
\end{enumerate}

\hfill \mbox{\textit{OCR MEI C1 2009 Q5 [4]}}