OCR A-level Mathematics A · H240

Hard pure maths

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OCR format & instructions

Calculator permitted. Give clear working in the answer booklet and label each part. Formulae are provided in the official question paper.

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

01 · Pure · 100 marks · 2 hours
02 · Pure & statistics · 100 marks · 2 hours
03 · Pure & mechanics · 100 marks · 2 hours

Official specification ↗ · Official past papers ↗

QUESTION PAPER

Mathematics · A levelPure mathematics · H240/01

Torus Maths original · OCR style

For $x>1$ , the curve C is $y=\frac{(\ln x)^{3}}{x}$ . Its tangent at P passes through the origin. Find the exact area enclosed by the x-axis, OP and the part of C from $x=1$ to P.

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Answer booklet

Question 1 · Show your working

Answer booklet · Question 1

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