These Further Maths polar coordinates multiple choice questions check your understanding of polar coordinates with 10 questions for pupils aged 16-18. Each question has four answers, and the right one is explained as soon as you choose.
Further Maths polar coordinates multiple choice questions: the 10 questions
The Cartesian coordinates of \(\left(2,\tfrac\pi2\right)\) are:
\(r=4\) is:
\(r=a(1+\cos\theta)\) is a:
The area enclosed by \(r=f(\theta)\) between \(\alpha\) and \(\beta\) is:
\(r=\cos3\theta\) has how many petals?
\(r=\cos2\theta\) has how many petals?
\(\theta=\frac\pi4\) in Cartesian form is:
The curve \(r=2\cos\theta\) is:
A tangent is parallel to the initial line where:
The area of the circle \(r=2\) is (using \(\frac12\int r^2d\theta\)):
How to use these Further Maths polar coordinates multiple choice questions
First, read each question carefully before you look at the four answers. Then work the answer out on paper, so that you do not simply guess. After that, read the explanation, even when you are right. If you score less than 7 out of 10, go back to the polar coordinates lesson.
Finally, practise more with the polar coordinates worksheet and the quiz. 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.
Similar pages
LessonPolar coordinates – further maths revision notes to download as PDF
WorksheetPolar coordinates – further maths worksheet with answers to download as PDF
AnswersPolar coordinates – further maths worksheet answers to download as PDF
QuizPolar coordinates – further maths quiz to download as PDF
TestPolar coordinates – further maths test to download as PDF
Test answersPolar coordinates – further maths test answers to download as PDF
StartersPolar coordinates – further maths starters to download as PDFOther chapters in this level
LessonProof by induction – further maths revision notes to download as PDF
LessonComplex numbers – further maths revision notes to download as PDF
LessonDe Moivre’s theorem and roots of unity – further maths revision notes to download as PDF
LessonMatrices and linear transformations – further maths revision notes to download as PDF
LessonInverse matrices and systems of equations – further maths revision notes to download as PDF
LessonRoots of polynomials, series and Maclaurin – further maths revision notes to download as PDF
LessonFurther calculus – further maths revision notes to download as PDF
LessonFurther vectors – further maths revision notes to download as PDF