All topics

OCR A-level Mathematics A · H240

Differentiation techniques

0 of 14 reviewed · Working saved in this browser

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=x4−x2y=x\sqrt{4-x^2}, for 0≤x≤20\leq x\leq2.

(a)

Find the exact greatest value of y.

[4]

(b)

Find the exact area enclosed by C and the x-axis.

[4]

Question reference: ocr-unseen-12-01Report a question →

Answer booklet

Question 1 · Show your working

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