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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
1

The curve C has equation y=(x2+px+q)e−2xy=(x^2+px+q)\mathrm e^{-2x}. At x=2x=2, both dydx\frac{dy}{dx} and d2ydx2\frac{d^2y}{dx^2} are zero. Find 2q2q.

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Answer booklet

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