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OCR A-level Mathematics A · H240

Differentiation parametric implicit & differential equations

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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.

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

A curve C has equation x2+xy+y2=9x^2+xy+y^2=9. The point P is (3,0)(3,0).

(a)

Find the greatest and least y-coordinates on C.

[4]

(b)

The normal at P meets C again at Q. Find Q and the exact length PQ.

[5]

Question reference: ocr-a-level-extreme-03-01Report a question →

Answer booklet

Question 1 · Show your working

(a)
(b)
Need a nudge?Three small hints · no answer revealed