Further Maths further calculus quiz to download as PDF

This Further Maths further calculus quiz has 10 short questions for pupils aged 16-18. Type your answer, check it straight away and read the explanation when you get one wrong.

Further Maths further calculus quiz: the 10 questions

\(\int_1^\infty x^{-3}dx=\) ?
Does \(\int_1^\infty\frac1x dx\) converge? (yes/no)
Volume formula about the x-axis (with limits \(a,b\))?
\(\int_0^\infty e^{-x}dx\)?
\(\arcsin1\)?
\(\arctan1\)?
Mean value of \(f\) on \([0,4]\) if \(\int_0^4f=12\)?
Volume of cone r=3, h=4 in terms of pi?
\(\int_0^1x^{-2}dx\) converges? (yes/no)
Volume of unit sphere in terms of pi?

How to use this Further Maths further calculus quiz

First, answer every question without a calculator unless the question says so. Then check your answer and read the short explanation. If you get fewer than 7 right, revise the further calculus lesson and try again later. After that, try the multiple choice questions or the further calculus worksheet.

Finally, take this quiz again before a test, because quick retrieval helps you remember. Moreover, all the pages of this chapter work together, so you can move between them at any time. For example, many pupils read the lesson on Monday, practise on Wednesday and test themselves on Friday.