OCR A-level Mathematics A · H240

Parametric 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.

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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

A curve is given by $x=3(t-\sin t)$ , $y=3(1-\cos t)$ , $0\leq t\leq2\pi$ .

(a)

For 0<t<2π, find dy/dx. Find the tangent at t=π/2.

[4]

(b)

Find the exact area bounded by the curve and the x-axis.

[5]

Question reference: ocr-a-level-extreme-06-01Report a question →

Answer booklet

Question 1 · Show your working

(a)

Answer booklet · Question 1(a)

(b)

Answer booklet · Question 1(b)

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