OCR MEI C1 2007 January — Question 5 3 marks

Exam BoardOCR MEI
ModuleC1 (Core Mathematics 1)
Year2007
SessionJanuary
Marks3
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicBinomial Theorem (positive integer n)
TypeStandard binomial expansion coefficient
DifficultyEasy -1.2 This is a straightforward application of the binomial theorem requiring only substitution into the formula C(6,4) × 5² = 15 × 25 = 375. It's a single-step calculation with no problem-solving required, making it easier than average, though not trivial since students must recall and apply the correct binomial coefficient formula.
Spec1.04a Binomial expansion: (a+b)^n for positive integer n

5 Calculate the coefficient of \(x ^ { 4 }\) in the expansion of \(( x + 5 ) ^ { 6 }\).

5 Calculate the coefficient of $x ^ { 4 }$ in the expansion of $( x + 5 ) ^ { 6 }$.

\hfill \mbox{\textit{OCR MEI C1 2007 Q5 [3]}}