Expanding brackets worksheet – KS3/4 maths resource with answers

What's included?

Editable Word doc with answers

Key Stage

KS3, KS4


Years 7-11


The first four questions on this expanding brackets worksheet focus on expanding single brackets with a monomial factor. In Q1 this is a number.

Q2-4 introduce algebraic monomials. Q5-6 start to explore the product of two binomials. At first this is with coefficients of x being 1 or -1 in each bracket, before introducing higher valued coefficients.

The later questions in each section also include a monomial factor

We’ve designed Q7 to pave the way for the reasoning skills required to bridge to factorisation.

We finish by expanding three binomial factors across Q8-9.

Free expanding brackets worksheet

The practice questions on this expanding brackets worksheet have been designed to allow your pupils to try all important aspects of the content, but also to notice things about the structure behind each content area.

Students will need to engage in reasoning to explain why they’re seeing the results they are.

Worksheets requiring arithmetic have generally been limited to integer calculation so they can be used with pupils who may not yet be fluent in decimal/fractional arithmetic.

Where pupils have these pre-requisite skills, we recommend adapting the questions (where appropriate) to include this content.

We’ve included an answers sheet in the download for your convenience. While you’ll typically introduce the material in this worksheet in KS3, there’s also some content that is generally exclusive to KS4.

Peter Mattock is an assistant headteacher and secondary mastery lead for the East Midlands South Maths Hub. He’s the author of Visible Maths and Conceptual Maths (Crown House Publishing). Follow Peter on Twitter at @MrMattock.

Download a KS3 maths algebra lesson on expanding brackets.

Expanding brackets worksheet – KS34 maths resource with answers
Expanding brackets worksheet – KS3/4 maths resource with answers

You'll also receive regular updates from Teachwire with free lesson plans, great new teaching ideas, offers and more. (You can unsubscribe at any time.)

Which sectors are you interested in?

By signing up you agree to our Terms & Conditions and privacy policy

Explore teaching packs

Pie Corbett Ultimate KS2 Fiction Collection
Pie Corbett Ultimate KS2 Fiction Collection
Fire up KS2 pupils' imagination with this collection of 20+ fictional stories, written by literacy expert Pie Corbett. Each ... more
21 x resources
Pie Corbett KS2 Non-Fiction Collection
Use Pie Corbett’s non-fiction texts to inspire your KS2 pupils to get writing. Each resource contains an original text in ... more
6 x resources
Pie Corbett KS2 Poetry Collection
Inspire KS2 pupils to be creative and express themselves with this pack of Pie Corbett poetry. Each of these Pie Corbett Tal... more
7 x resources
WAGOLL classroom resources
WAGOLL Packs from Real Authors
Peer inside the mind of award-winning children's authors and help pupils understand how to create engaging characters, capti... more
11 x resources
Art KS2 inspiring medium term plans
Art KS2 Inspiring Medium Term Plans
Get pupils' creative juices flowing with these expert medium-term art plans for KS2. Each resource consists of a full half-t... more
6 x resources
Magical Harry Potter Teaching Ideas
Magical Harry Potter Teaching Ideas
Spark pupils' imaginations with these inventive and exciting teaching ideas, all themed around the wonderful world of Harry ... more
11 x resources