Further Maths polar coordinates quiz to download as PDF

This Further Maths polar coordinates 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 polar coordinates quiz: the 10 questions

Polar form of \(x=r\cos\theta\): what is \(y\)?
\(r^2=\) in Cartesian?
Area enclosed by \(r=1\)?
Where does \(r=1+\cos\theta\) reach \(r=0\)?
Maximum \(r\) of \(r=3+2\cos\theta\)?
Number of petals of \(r=\sin5\theta\)?
\(\int_0^{2\pi}\cos^2\theta\,d\theta\)?
Polar form of \(y=2\)?
What name is given to the point \(r=0\)?
\(\theta\) for the line \(y=x\) in the first quadrant?

How to use this Further Maths polar coordinates 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 polar coordinates lesson and try again later. After that, try the multiple choice questions or the polar coordinates 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.