Year 11 equation of a circle and tangents quiz to download as PDF

This Year 11 equation of a circle and tangents quiz has 10 short questions for pupils aged 15-16. Type your answer, check it straight away and read the explanation when you get one wrong.

Year 11 equation of a circle and tangents quiz: the 10 questions

(Higher) State the equation of the circle with centre (0,0) and radius 9.
(Higher) Radius of x^2+y^2=64?
(Higher) Is (5,5) inside, on or outside x^2+y^2=25?
(Higher) A radius has gradient 3. What is the gradient of the tangent?
(Higher) What angle does a tangent make with the radius at the point of contact?
(Higher) Equation of tangent to x^2+y^2=25 at (0,5)?
(Higher) Point (-4,-3) on x^2+y^2=25? Yes or no.
(Higher) r squared for a circle through (1,1) with centre origin?
(Higher) A line meets a circle at exactly one point. What is it called?
(Higher) Negative reciprocal of 2/5?

How to use this Year 11 equation of a circle and tangents 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 equation of a circle and tangents lesson and try again later. After that, try the multiple choice questions or the equation of a circle and tangents 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.