Transum Software

Quadratic Equations

Practise solving quadratic equations with this self marking exercise.

Factorising Level 1 Level 2 Level 3 Level 4 Level 5 Level 6 Level 7 Description More

This is level 3; Three terms where the squared term has a coefficient of one. The roots are integers. You can earn a trophy if you get at least 7 correct.

x2 + 4x + 3 = 0

x = and Correct Wrong

x2 − 12x + 35 = 0

x = and Correct Wrong

x2 + 6x + 8 = 0

x = and Correct Wrong

x2 − 8x + 15 = 0

x = and Correct Wrong

x2 − 5x + 6 = 0

x = and Correct Wrong

x2 − 5x − 6 = 0

x = and Correct Wrong

x2 − 8x + 12 = 0

x = and Correct Wrong

x2 − 11x + 30 = 0

x = and Correct Wrong

x2 − 9x + 20 = 0

x = and Correct Wrong

x2 − 6x + 8 = 0

x = and Correct Wrong

x2 + 6x + 5 = 0

x = and Correct Wrong

x2 + 5x + 6 = 0

x = and Correct Wrong

Check

This is Quadratic Equations level 3. You can also try:
Level 1 Level 2 Level 4 Level 5 Level 6 Level 7

Instructions

Try your best to answer the questions above. Type your answers into the boxes provided leaving no spaces. As you work through the exercise regularly click the "check" button. If you have any wrong answers, do your best to do corrections but if there is anything you don't understand, please ask your teacher for help.

When you have got all of the questions correct you may want to print out this page and paste it into your exercise book. If you keep your work in an ePortfolio you could take a screen shot of your answers and paste that into your Maths file.

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Practice Papers

Practice Papers

Mathematics GCSE(9-1) Higher style questions and worked solutions presented as twenty short, free, practice papers to print out.

Answers

There are answers to this exercise but they are available in this space to teachers, tutors and parents who have logged in to their Transum subscription on this computer.

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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 page is an alphabetical list of free activities designed for students in Secondary/High school.

Maths Map

Are you looking for something specific? An exercise to supplement the topic you are studying at school at the moment perhaps. Navigate using our Maths Map to find exercises, puzzles and Maths lesson starters grouped by topic.

Teachers

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:

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Description of Levels

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Level 1 - A quadratic equation presented in a factorised form.

Level 2 - Two terms where the unknown is a factor of both. The roots are integers.

Level 3 - Three terms where the squared term has a coefficient of one. The roots are integers.

Level 4 - Three terms where the squared term has a coefficient other than one and the expression factorises.

Level 5 - The difference between two squares.

Level 6 - Three terms and the roots are not necessarily integers.

Level 7 - Mixed

Example

Don't wait until you have finished the exercise before you click on the 'Check' button. Click it often as you work through the questions to see if you are answering them correctly.

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