A Level Further Maths
A Level Further Maths Further Calculus Exam Questions
Free A Level Further Maths exam questions on Further Calculus, with full model answers. Covers volumes (incl. mean value of a function).
Further Calculus exam questions
1 question pack of real past exam questions with its mark scheme. Answer every question without notes, then mark your answers line by line against the mark scheme.
About A Level Further Maths Further Calculus
Further Calculus is part of Pure Maths in A Level Further Maths. These questions suit AQA, Edexcel, OCR A, OCR B (MEI), WJEC, Cambridge International, Edexcel International, OxfordAQA International and CCEA A Level Further Maths students. Answer the pack without notes, then mark every line against the model answers and redo the questions you dropped marks on.
What you need to know
- Volumes of revolution π∫y² dx.
- Improper integrals Limits to infinity.
- Inverse trig Integrals giving arcsin and arctan.
Common mistakes in Further Calculus
- Forgetting π.
- Ignoring convergence.
Try two Further Calculus exam-style questions
1. Write the volume formula about the x-axis. (1 mark)
Show the mark scheme answer
π∫y² dx
2. ∫1/(1 + x²) dx equals what? (1 mark)
Show the mark scheme answer
arctan x + c
Further Calculus FAQs
Which exam boards include Further Calculus?
These questions suit AQA, Edexcel, OCR A, OCR B (MEI), WJEC, Cambridge International, Edexcel International, OxfordAQA International and CCEA A Level Further Maths.
Is Further Calculus pure, mechanics or statistics?
Further Calculus is part of Pure Maths.
How should I use these Further Calculus questions?
Answer every question without notes, then check each line against the model answers and redo any you got wrong.
