Year 10 surds and exact values quiz to download as PDF

This Year 10 surds and exact values quiz has 10 short questions for pupils aged 14-15. Type your answer, check it straight away and read the explanation when you get one wrong.

Year 10 surds and exact values quiz: the 10 questions

(Higher) Simplify \(\sqrt{8}\).
(Higher) What is \(\sqrt{5}\times\sqrt{5}\)?
(Higher) Simplify \(\sqrt{45}\).
What is the circumference of a circle of radius 3 in terms of pi?
(Higher) Simplify \(\sqrt{2}+\sqrt{2}\).
(Higher) What is \(\sqrt{3}\times\sqrt{3}\times\sqrt{3}\)?
(Higher) Rationalise \(\dfrac{1}{\sqrt{2}}\).
A circle has area \(16\pi\). What is its radius?
(Higher) What is \((a+\sqrt{b})(a-\sqrt{b})\) in terms of a and b?
(Higher) Is \(\sqrt{49}\) a surd? (yes or no)

How to use this Year 10 surds and exact values 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 surds and exact values lesson and try again later. After that, try the multiple choice questions or the surds and exact values 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.