OCR C2 Specimen — Question 1 5 marks

Exam BoardOCR
ModuleC2 (Core Mathematics 2)
SessionSpecimen
Marks5
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicBinomial Theorem (positive integer n)
TypeStandard binomial expansion
DifficultyEasy -1.2 This is a straightforward binomial expansion with a small positive integer power (n=4), requiring only direct application of the binomial theorem formula or Pascal's triangle. It's a routine C2 exercise with no problem-solving element—just mechanical expansion and simplification of coefficients.
Spec1.04a Binomial expansion: (a+b)^n for positive integer n

Expand \((1-2x)^4\) in ascending powers of \(x\), simplifying the coefficients. [5]

AnswerMarks Guidance
\(1 - 8x + 24x^2 - 32x^3 + 16x^4\)B1 For first two terms \(1 - 8x\)
M1For expansion in powers of \((-2x)\)
M1For any correct use of binomial coefficients
A1For any one further term correct
A15 For completely correct expansion
$1 - 8x + 24x^2 - 32x^3 + 16x^4$ | B1 | For first two terms $1 - 8x$
| M1 | For expansion in powers of $(-2x)$
| M1 | For any correct use of binomial coefficients
| A1 | For any one further term correct
| A1 | 5 | For completely correct expansion
Expand $(1-2x)^4$ in ascending powers of $x$, simplifying the coefficients. [5]

\hfill \mbox{\textit{OCR C2  Q1 [5]}}