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Edexcel A-level Mathematics · 9MA0

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.

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.

A curve is given by x=3(t−sin⁡t)x=3(t-\sin t), y=3(1−cos⁡t)y=3(1-\cos t), 0≤t≤2π0\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)

(Total for Question 1 is 9 marks)

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