Further Maths roots of polynomials, series and Maclaurin quiz to download as PDF

This Further Maths roots of polynomials, series and Maclaurin 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 roots of polynomials, series and Maclaurin quiz: the 10 questions

Sum of roots of \(x^2-7x+2=0\)?
Product of the roots of \(x^3-6x^2+11x-6=0\)?
\(\sum_{r=1}^{4}r^2\)?
What is \(\sum_{r=1}^{n}1\)?
Write \(\frac{1}{r(r+1)}\) as partial fractions.
Coefficient of \(x^3\) in the Maclaurin series of \(e^x\)?
Sum to infinity of \(\sum\frac1{r(r+1)}\)?
Is \(\ln(1+x)\) defined by its series at \(x=-1\)? (yes/no)
The series for \(\cos x\) contains only even or odd powers of \(x\)?
\(\sum_{r=1}^{n}r^3\) when \(n=3\)?

How to use this Further Maths roots of polynomials, series and Maclaurin 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 roots of polynomials, series and Maclaurin lesson and try again later. After that, try the multiple choice questions or the roots of polynomials, series and Maclaurin 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.