UKUK USUSIndiaIndia
Fun Learning and Revision for KS1, KS2, 11-Plus, KS3 and GCSE
Join Us
Simultaneous Equations (H)
Your skills with simultaneous equations are required to cost tins of paint in this quiz.

Simultaneous Equations (H)

This Higher tier GCSE Maths quiz on Simultaneous Equations builds on the previous quiz, have you tried that one yet? Make sure you have mastered the basics of the elimination and substitution methods of solving a system of linear equations before tackling this quiz, which includes quadratics!

When solving simultaneous equations, particularly complicated ones that include a quadratic, it’s always a good idea to consider what the equations look like on a graph. You should recall that the point, or points, where two lines (or curves) intersect is a solution to the system of simultaneous equations. If you can sketch out the curve and the straight line, it will give you an indication of how many solutions there are, and their approximate position on the grid.

When both the equations you are solving simultaneously are linear, you have a choice of methods – elimination or substitution. However, when one of these equations is a quadratic you can ONLY use the substitution method. You have to substitute the linear equation (possibly rearranging it first) into the quadratic, and then solve the quadratic. Remember this will give you up to two possible solutions. Substitute each of these solutions back into the LINEAR equation to find the corresponding value of the other variable.

You’re not quite finished yet – the final thing is to check that each pair of values fits BOTH equations. If one doesn’t then it isn’t a valid solution, and you should discard it (but always explain why!). Only now can you say ‘job done’!

Did you know...

You can play all the teacher-written quizzes on our site for just £9.95 per month. Click the button to sign up or read more.

Sign up here
Question 1
Helpful comment
Question 2
Helpful comment
Question 3
Helpful comment
Question 4
Helpful comment
Question 5
Helpful comment
Question 6
Helpful comment
Question 7
Helpful comment
Question 8
Helpful comment
Question 9
Helpful comment
Question 10
Helpful comment
Author:  Frank Evans

© Copyright 2016-2018 - Education Quizzes
TJS - Web Design Lincolnshire

Valid HTML5

We use cookies to make your experience of our website better.

To comply with the new e-Privacy directive, we need to ask for your consent - I agree - No thanks - Find out more