Maths Resources GCSE Worksheets


Factorising Single Brackets Worksheet

Factorising Single Brackets Worksheet

Help your students prepare for their Maths GCSE with this free factorising to a single bracket worksheet of 39 questions and answers

  • Section 1 of the factorising to a single bracket worksheet contains 33 skills-based factorising to a single bracket questions, in 3 groups to support differentiation
  • Section 2 contains 3 applied factorising to a single bracket questions with a mix of worded problems and deeper problem solving exam questions
  • Section 3 contains 3 foundation and higher level GCSE exam style factorising to a single bracket exam questions 
  • Answers and a mark scheme for all factorising to a single bracket questions are provided
  • Questions follow variation theory with plenty of opportunities for students to work independently at their own level
  • All exam questions created by fully qualified expert secondary maths teachers
  • Suitable for GCSE maths revision for AQA, OCR and Edexcel exam boards

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Factorising to a single bracket at a glance


Factorising into brackets is the inverse of expanding brackets. It involves rewriting an algebraic expression so that it becomes the product of two terms in brackets. 


Factorising into single brackets involves examining the coefficients of the terms in the expression and any constant term in order to calculate the highest common factor (HCF) of each of the terms. The highest common factor is then placed outside of the single pair of brackets.The HCF may be a number, a variable (a letter) or a combination of both.


Factoring to a single brackets begins with simple polynomials and moves onto more complex expressions involving indices. It is a useful skill and can help with solving equations, solving quadratic equations and simplifying algebraic fractions.


Looking forward, students can progress with more factorising worksheets to additional algebra worksheets, for example a simplifying expressions worksheet or a simultaneous equations worksheet.



For more teaching and learning support on Algebra our GCSE maths lessons provide step by step support for all GCSE maths concepts

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