OCR MEI C1 — Question 9 3 marks

Exam BoardOCR MEI
ModuleC1 (Core Mathematics 1)
Marks3
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicCompleting the square and sketching
TypeComplete the square
DifficultyModerate -0.5 This is a straightforward algebraic expansion requiring the binomial expansion of a cube and then collecting like terms. While it involves multiple steps, it's a routine C1 exercise testing basic algebraic manipulation with no problem-solving insight required, making it slightly easier than average.
Spec1.02j Manipulate polynomials: expanding, factorising, division, factor theorem
Expand and simplify \((n + 2)^3 - n^3\). [3]
Question 9:
AnswerMarks
96n2 + 12n + 8 or 2(3n2 + 6n + 4) oe
as final answer3
[3]B2 for 2 terms correct in final answer or for
(n + 2)3 = n3 + 6n2 + 12n + 8
or B1 for 1, 3, 3, 1 soi
AnswerMarks
or SC2 for final answer of 3n2 + 6n + 4B1 for
n3 4n2 4n2n2 8n8n3
 ,
condoning one error
Question 9:
9 | 6n2 + 12n + 8 or 2(3n2 + 6n + 4) oe
as final answer | 3
[3] | B2 for 2 terms correct in final answer or for
(n + 2)3 = n3 + 6n2 + 12n + 8
or B1 for 1, 3, 3, 1 soi
or SC2 for final answer of 3n2 + 6n + 4 | B1 for
n3 4n2 4n2n2 8n8n3
 ,
condoning one error
Expand and simplify $(n + 2)^3 - n^3$. [3]

\hfill \mbox{\textit{OCR MEI C1  Q9 [3]}}
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