FREE DOWNLOAD

Expand and Simplify Worksheet

Expand and Simplify Worksheet

Help your students prepare for their Maths GCSE with this free Expand & Simplify Worksheet of 31 questions and answers

  • Section 1 of the expand & simplify worksheet contains 24 skills based expand & simplify questions, in 3 groups to support differentiation
  • Section 2 contains 3 applied expand & simplify with a mix of worded problems and deeper problem solving questions
  • Section 3 contains 4  foundation and higher level GCSE exam style expand & simplify questions 
  • Answers and a mark scheme for all expand & simplify questions
  • Follows variation theory with plenty of opportunities for students to work independently at their own level
  • All questions created by fully qualified expert secondary maths teachers
  • Suitable for GCSE maths revision for AQA, OCR and Edexcel exam boards

Unlock access to download your free resource

  • To receive this resource and regular emails with more free resources, blog posts and other Third Space updates, enter your email address and click below.

  • This field is for validation purposes and should be left unchanged.

You can unsubscribe at any time (each email we send will contain an easy way to unsubscribe). To find out more about how we use your data, see our privacy policy.

Expand and simplify at a glance

 

Expanding and simplifying a single bracket and double brackets involves multiplying the term or terms outside the brackets by everything inside the brackets. When expanding double brackets we need to multiple everything in the first bracket by everything in the second bracket. This will often result in a quadratic expression.

 

Once the brackets have been fully expanded we can then simplify the expression by collecting like terms. Collecting like terms combines algebraic terms and constant terms to simplify an expression. We use addition and subtraction of the coefficients to simplify the algebraic expression to a single term. Collecting like terms of linear expressions can result in expressions of the form ax +b, whereas collecting like terms of quadratic expressions can result in expressions of the form ax2 + bx + c.

 

We can expand and simplify brackets that involve different types of numbers such as surds. Surds are irrational numbers which have a square root symbol. 

 

This topic further extends to expanding triple brackets. To expand triple brackets, two of the brackets need expanding first, and then multiplied by the third bracket. Then simplifying is needed by collecting like terms.

Related worksheets

Do you have KS4 students who need more focused attention to succeed at GCSE?

GCSE Maths Worksheets

There will be students in your class who require individual attention to help them succeed in their maths GCSEs. In a class of 30, it’s not always easy to provide.


Help your students feel confident with exam-style questions and the strategies they’ll need to answer them correctly with our dedicated GCSE maths revision programme.


Lessons are selected to provide support where each student needs it most, and specially-trained GCSE maths tutors adapt the pitch and pace of each lesson. This ensures a personalised revision programme that raises grades and boosts confidence.


Find out more

Jump to...