All topics

Edexcel A-level Mathematics · 9MA0

Hard pure maths

0 of 24 reviewed · Working saved in this browser

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
1.

For x>1x>1, the curve C is y=(ln⁡x)3xy=\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=1x=1 to P.

(5)

(Total for Question 1 is 5 marks)

Question reference: edexcel-a-level-pure-ranked-03-01Report a question →
Need a nudge?Three small hints · no answer revealed