Year 13 parametric equations quiz to download as PDF

This Year 13 parametric equations quiz has 10 short questions for pupils aged 17-18. Type your answer, check it straight away and read the explanation when you get one wrong.

Year 13 parametric equations quiz: the 10 questions

For x=t+2, y=t^2, find x when t=3.
Cartesian equation of x=2t, y=t^2?
x=cos t, y=sin t. What is x^2+y^2?
What shape is x=4cos t, y=4sin t?
What is the value of y when t=2 for y=3t-1?
For x=e^t, can x be negative?
Cartesian equation of x=t, y=1/t?
x=3cos t, y=2sin t. What are the greatest values of x and y?
What do you set to zero to find where a curve crosses the y-axis?
What is the centre of the circle x=2+cos t, y=3+sin t?

How to use this Year 13 parametric equations 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 parametric equations lesson and try again later. After that, try the multiple choice questions or the parametric equations 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.