Edexcel A-level Mathematics · 9MA0

Extreme

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Extreme practice · Multi-step problems within A-level pure maths. Difficulty is an editorial judgement. These questions are self-reviewed, not ranked.

Edexcel format & instructions

Calculator permitted. Show sufficient working in the spaces provided. Give inexact answers to 3 significant figures unless specified otherwise. The official exam provides a formulae and statistical tables booklet.

Original topic practice. This set is not a full official paper. Written work is self-reviewed against our worked solutions.

01 · Pure 1 · 100 marks · 2 hours
02 · Pure 2 · 100 marks · 2 hours
03 · Statistics & mechanics · 100 marks · 2 hours

Official specification ↗ · Official past papers ↗

QUESTION PAPER

Mathematics · A levelPure Mathematics practice · 9MA0

Torus Maths original · Edexcel style

For $|x|<1/3$ , $f(x)=(1+3x)^{-1/2}+(1-3x)^{-1/2}-2$ .

(a)

Find the terms in x² and x⁴ in the expansion of f(x). State why the odd powers vanish.

(4)

Working

(b)

For small positive ε, the small positive solution of $f(x)=3\varepsilon^2/4$ is approximated by $x=(\varepsilon+c\varepsilon^3)/3$ . Find c by retaining terms through ε⁴.

(4)

Working

(Total for Question 1 is 8 marks)

Question reference: edexcel-a-level-extreme-09-01Report a question →

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