Quadratic EquationsPractise solving quadratic equations algebraically with this selfmarking exercise. 
This is level 1; A quadratic equation presented in a factorised form. You can earn a trophy if you get at least 7 correct.
InstructionsTry 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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Go MathsLearning 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 MapAre 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.  
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Factorising  Factorise algebraic expressions in this structured online self marking exercise.
Level 1  A quadratic equation presented in a factorised form.
Level 2  Two terms where the unknown is a factor of both.
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  Quadratic equations that factorise after being rearranged.
Level 6  The difference between two squares.
Level 7  Three terms and the roots are not necessarily integers.
Level 8  Mixed questions on solving quadratic equations
Exam Style Questions  A collection of problems in the style of GCSE or IB/Alevel exam paper questions (worked solutions are available for Transum subscribers).
More Algebra including lesson Starters, visual aids, investigations and selfmarking exercises.
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.
See the National Curriculum page for links to related online activities and resources.
\((x − 8)(4x − 5) = 0\)
Here there are two sets of brackets which multiply together to give zero. It is therefore true that the contents of at least one of the sets of brackets must be zero.
So either \(x8=0\) which means \(x=8 \)
Or \(4x5=0\) which means \(4x=5 \)
Therefore \( x = 5 \div 4 = 1.25\)
So the two answers are 8 and 1.25
Answers can be typed in as decimals or fractions but not mixed numbers. For example the answer of \(1.2\) can also be typed in as \( \frac{6}{5} \) but not as \( 1\frac{1}{5} \). This due to limitations of the software used to check your answers. Note that the mixed numbers option would be acceptable in examinations.
Use the forward slash / when typing in fractions.
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. You can doubleclick the 'Check' button to make it float at the bottom of your screen.
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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Lisa, HPSC
Thursday, August 11, 2022
"Be great if we could enter fractions using the slash e.g. 1/2.
[Transum: Great idea Lisa. The fraction input capability has been activated, Use the forward slash / when typing in fractions. Mixed numbers however will not be recognised so please type those as improper fractions.]"