Factorising single brackets

Sample Factorising single brackets questions

A few of the 17 questions, from easier to harder. Choose your exam board and tier to practise them, with every answer marked.

1. Question 12 marksGrade 3-4
   Factorise fully $7x + 35$.
   Show the worked solution

   Find the highest common factor of 7 and 35: this is 7.

   Divide each term by 7: $7x \div 7 = x$,

What are the common mistakes in Factorising single brackets?

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.

• Stops factorising before the expression is fully factorised (a common factor remains)

  Took out a common factor of x, but 5 is also a common numeric factor - the expression isn't factorised FULLY yet

• Divides only the first term by the denominator/coefficient, forgetting the second term

  Divided the $x$ term by 3 but left the constant term 6 un-divided inside the bracket

• Takes out a numerical common factor but forgets to include the common variable factor

  Took out the numeric factor 6 but not the shared variable x, so the bracket still contains an x term

Quick answers about Factorising single brackets

How many Factorising single brackets practice questions are there?

There are 17 self-marking GCSE and IGCSE Maths questions on Factorising single brackets, 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 Core and Extended tier. Each one is marked instantly and has a full worked solution.

Do I need an account to practise Factorising single brackets?

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