Edexcel A-level Mathematics · 9MA0

Further identities & R form

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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 $0\leq x\leq\pi/3$ , $f(x)=\sin(3x)+\sin(9x)$ .

(a)

Find the exact maximum of f and all x-coordinates at which it occurs.

(5)

Working

(b)

Find the exact area between the graph and the x-axis on the stated interval.

(4)

Working

(Total for Question 1 is 9 marks)

Question reference: edexcel-a-level-extreme-04-01Report a question →

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