Factorising quadratics

Sample Factorising quadratics questions

A few of the 51 questions, from easier to harder. Choose your exam board and tier to practise them, with every answer marked.

1. Question 12 marksGrade 3
   Solve by factorising: $x^2 + 9x + 20 = 0$.
   Show the worked solution

   Need two numbers that multiply to 20 and add to 9: 4 and 5. M1

   x² + 9x + 20 = (x+4)(x+5) = 0.

What are the common mistakes in Factorising quadratics?

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.

• Leaves the expression in expanded form instead of writing it as a product of factors

  Collected the like terms but left the expression in expanded form instead of factorising it

• Ignores the leading coefficient when factorising or analysing a quadratic

  Factorised as if the coefficient of $x^2$ were 1, but here it's 6 - both brackets need an $x$-coefficient, not just plain $x$

• Pairs factors incorrectly when factorising an expression

Quick answers about Factorising quadratics

How many Factorising quadratics practice questions are there?

There are 51 self-marking GCSE and IGCSE Maths questions on Factorising quadratics, written for AQA, Pearson, OCR, Pearson International GCSE Maths A (4MA1), Cambridge IGCSE Mathematics (0580), Cambridge IGCSE (9-1) Mathematics (0980) across Foundation and Higher and Extended tier. Each one is marked instantly and has a full worked solution.

Do I need an account to practise Factorising quadratics?

No. You can start practising Factorising quadratics straight away without an account. A free account keeps your results across sessions, so you can see your progress on this topic over time.