Solving quadratic equations for real roots

Sample Solving quadratic equations for real roots questions

A few of the 13 questions, from easier to harder. Choose your exam board and tier to practise them, with every answer marked.

1. Question 12 marksGrade 5
   Solve by factorisation: $2x^2 - 19x - 33 = 0$. [2]
   Show the worked solution

   2x² − 19x − 33 = (2x + 3)(x − 11). M1

What are the common mistakes in Solving quadratic equations for real roots?

When a pupil makes one of these on Revision Workshop, the marking engine names the mistake and explains it, instead of just marking the answer wrong.

• Gives only one root of a quadratic equation instead of both

  Found one correct solution ($x = -5$) but a quadratic equation usually has two solutions - the other factor also gives a valid root ($x = -5/3$)

• Mishandles a sign when substituting into the discriminant (b^2 - 4ac)

  Calculated the discriminant as $b^2 + 4ac$

Quick answers about Solving quadratic equations for real roots

How many Solving quadratic equations for real roots practice questions are there?

There are 13 self-marking Additional Maths Maths questions on Solving quadratic equations for real roots, written for Cambridge IGCSE Additional Maths (0606) across Single tier. Each one is marked instantly and has a full worked solution.

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