Further Mathematics · OCR H245 · Topic AK

Assumed knowledge

Further Maths builds on A level Maths, so any of that content can appear in your papers.

1 sub-topic
Taught in Year 13
13 practice questions
1 animated lesson

Practice questions (13) Lessons Worksheets coming soon All OCR Further Mathematics topics

What the specification says

Every sub-topic OCR can examine in this topic, with its reference number from the official specification. The Y12 and Y13 tags show when each sub-topic is usually taught.

AKGCSE and A level Mathematics contentY13

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Easy and medium questions from this topic, each with a worked solutions and the mark for every step. All 13 questions in this topic, free, no account needed.

Assumed knowledge

Easy

Assumed knowledge: the chain rule · Year 12 · 1 mark

Differentiate $\cos 5x$ with respect to $x$ .
(1)

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$\dfrac{\mathrm{d}}{\mathrm{d}x}\cos kx$ ${}= -k\sin kx$ . $D$ : $-5\sin 5x$

Total1

MMethod mark: for a correct method, even with a slip.
AAccuracy mark: for a correct answer from a correct method.
BIndependent mark: for a correct fact or result on its own, with no method needed.

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Assumed knowledge

Medium

Assumed knowledge: the binomial expansion · Year 12 · 1 mark

What is the coefficient of $x^2$ in the expansion of $(1 + x)^{6}$ ?
(1)

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The coefficient of $x^2$ is $\dfrac{n(n - 1)}{2!}$ , for any $n$ .A: $15$

Total1

MMethod mark: for a correct method, even with a slip.
AAccuracy mark: for a correct answer from a correct method.
BIndependent mark: for a correct fact or result on its own, with no method needed.

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What the specification says

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