OCR A-level Mathematics A · H240

Further identities & R form

0 of 3 reviewed · Working saved in this browser

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

For $0\leq x\leq\pi/3$ , $f(x)=\sin(3x)+\sin(9x)$ .

(a)

Find the exact maximum of f and all x-coordinates at which it occurs.

[5]

(b)

Find the exact area between the graph and the x-axis on the stated interval.

[4]

Question reference: ocr-a-level-extreme-04-01Report a question →

Answer booklet

Question 1 · Show your working

(a)

Answer booklet · Question 1(a)

(b)

Answer booklet · Question 1(b)

Need a nudge?Three small hints · no answer revealed