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Graph Match

Match the graphs with their equations or descriptions. A self-marking, drag-and-drop mathematical exercise.

Gradient Level 1 Level 2 Level 3 Level 4 Exam-Style Description Help More Graph Activities

This is Level 4 (Quadratics in the form \(ax^2 + bx + c\) given information about the coefficients). Match the graphs with their descriptions.


\(a>0, b>0, c>0\)

\(a<0, b>0, c>0\)

\(a>0, b<0, c>0\)

\(a<0, b<0, c>0\)

\(a>0, b>0, c<0\)

\(a>0, b=0, c=0\)

\(a<0, b>0, c<0\)

\(a>0, b<0, c<0\)

\(a<0, b<0, c<0\)


The diagrams were created in Autograph.

This is Graph Match level 4. You can also try:
Gradient Level 1 Level 2 Level 3 Exam-style Questions

Description of Levels



Gradient - A pre-requisite for doing the graph exercises is being able to calculate the gradient of a line.

Level 1 - Linear graphs and equations


Level 2 - Linear and quadratic graphs and equations


Level 3 - Mixed polynomials


Level 4 - Quadratics in the form \(ax^2 + bx + c\) given information about the coefficients


Exam Style questions are in the style of GCSE or IB/A-level exam paper questions and worked solutions are available for Transum subscribers.

More on this topic including lesson Starters, visual aids and investigations.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don’t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

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For straight line graphs arrange the equation in the form \(y = mx + c\) where \(m\) represents the gradient of the line and \(c\) the y-intercept.

Maybe this video will remind you of some of the techniques for recognising graphs.

This video is from the ukmathsteacher YouTube channel.

The most important thing is to talk to your teacher if there is anything you don't understand about this topic.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don’t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

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This web site contains over a thousand free mathematical activities for teachers and pupils. Click here to go to the main page which links to all of the resources available.

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Mathematicians are not the people who find Maths easy; they are the people who enjoy how mystifying, puzzling and hard it is. Are you a mathematician?

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"It's great to have a starter that's timed and focuses the attention of everyone fully. I told them in advance I would do 10 then record their percentages."

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Go Maths

Learning and understanding Mathematics, at every level, requires learner engagement. Mathematics is not a spectator sport. Sometimes traditional teaching fails to actively involve students. One way to address the problem is through the use of interactive activities and this web site provides many of those. The Go Maths main page links to more activities designed for students in upper Secondary/High school.


If you found this activity useful don't forget to record it in your scheme of work or learning management system. The short URL, ready to be copied and pasted, is as follows:

Alternatively, if you use Google Classroom, all you have to do is click on the green icon below in order to add this activity to one of your classes.

It may be worth remembering that if should go offline for whatever reason, there are mirror site at that contains most of the resources that are available here on

When planning to use technology in your lesson always have a plan B!

Geeta, Singapore

Monday, February 5, 2024

"Thank you for your excellent resources!
I teach neurodiverse children and the questions have a systematic approach.
Thanks to the team.
I would like to contribute some questions on some topics.

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