WJEC Unit 1 2019 June — Question 12 6 marks

Exam BoardWJEC
ModuleUnit 1 (Unit 1)
Year2019
SessionJune
Marks6
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicBinomial Theorem (positive integer n)
TypeStandard binomial expansion coefficient
DifficultyModerate -0.3 This is a straightforward binomial expansion question testing standard formula application. Parts (a) and (b) are routine recall (n+1 terms, using nCr formula), while part (c) requires finding when coefficients change sign and comparing magnitudes—slightly more thought than pure recall but still a standard textbook exercise with no novel problem-solving required.
Spec1.04a Binomial expansion: (a+b)^n for positive integer n

In the binomial expansion of \((2 - 5x)^8\), find
  1. the number of terms, [1]
  2. the \(4^{\text{th}}\) term, when the expansion is in ascending powers of \(x\), [2]
  3. the greatest positive coefficient. [3]

In the binomial expansion of $(2 - 5x)^8$, find

\begin{enumerate}[label=(\alph*)]
\item the number of terms, [1]

\item the $4^{\text{th}}$ term, when the expansion is in ascending powers of $x$, [2]

\item the greatest positive coefficient. [3]
\end{enumerate}

\hfill \mbox{\textit{WJEC Unit 1 2019 Q12 [6]}}