Year 13 functions, modulus and partial fractions quiz to download as PDF

This Year 13 functions, modulus and partial fractions 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 functions, modulus and partial fractions quiz: the 10 questions

If f(x)=x^2 and g(x)=x+1, find fg(3).
Find f inverse of f(x)=3x+1.
Solve |x|=7.
Solve |x-2|<1. Give the interval.
What is the range of f(x)=x^2+2?
What line do you reflect in to get the graph of the inverse?
Is x^2 (x real) one-to-one?
Partial fractions: find A if 4/((x-1)(x+1)) = A/(x-1)+B/(x+1).
Is (x+1)/(x^2+3) proper or improper?
What must you do with answers to |x-1|=2x-5?

How to use this Year 13 functions, modulus and partial fractions 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 functions, modulus and partial fractions lesson and try again later. After that, try the multiple choice questions or the functions, modulus and partial fractions 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.