Year 10 simultaneous equations quiz to download as PDF

This Year 10 simultaneous equations 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 simultaneous equations quiz: the 10 questions

Solve \(x+y=9\), \(x-y=1\). Give \(x\).
Solve \(x+y=9\), \(x-y=1\). Give \(y\).
If \(2x+y=7\) and \(y=1\), what is \(x\)?
Which method: add or subtract, for \(2x+y=5\) and \(x+y=3\)?
Two lines are parallel. How many solutions?
Solve \(y=3\) and \(x+y=8\). Give \(x\).
The lines \(y=x\) and \(y=6-x\) cross at what \(x\)?
The sum of two numbers is 12, the difference 2. The larger number?
(Higher) How many solutions can a line and a circle have at most?
(Higher) Solve \(y=x\) and \(y=x^2\). Give both \(x\) values.

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