KS3 and KS4 Expanding Brackets Worksheets

We have developed a wide range of Worksheets related to Expanding Brackets for your students and children. These worksheets will help them learn how to simplify algebraic expressions relating to whole numbers using the proper sequence of calculations. Our worksheets cover expanding single brackets, expanding double brackets, expanding triple brackets and simplifying the process of any mathematical equations. Our worksheets are differentiated, allowing students to progress through the subject at their own pace. All these worksheets are fun and engaging and come with separate answer sheets. Brackets are a crucial study area at KS3, so make it enjoyable with our printable PDF expanding bracket worksheets! 


Check out and download our Expanding Brackets Worksheets that will improve your child’s or student’s knowledge of mathematical equations related to the expansion of Single, Double and Triple Brackets. These worksheets are created in easy-to-download PDF format, include answers, and are designed to simplify complex mathematical equations. These Expanding Brackets worksheets are excellent resources that will make the whole learning fun and interesting, helping your students or children improve at solving various critical maths problems.

Understanding The Concept Of Expanding Brackets

In mathematics understanding how to expand brackets is just like peeling an onion—gradually revealing each layer. It’s like multiplying each item within the bracket by the number which simplifies expressions and brings clarity. Essentially the basics of this technique in maths help your children and students break down any complex mathematical problems into manageable ones much like reaching the core of an onion.

How Can We Expand Brackets?

Expanding brackets is a handy technique in maths, multiplying terms inside a bracket by the outside term. It’s like stretching out the contents to make the expression more straightforward. 

Let’s look at the expression: (2+1)(3−2)(5+2).

Expand the first two brackets: 2×3=6, 2×−2=−4, 1×3=3, and 1×−2=−2.

Combining the results, we get 6−4+3−2=3.

Now, multiply the result by the third bracket: 3×5=15 and 3×2=6.

Combine those: 15+6=21.

So, the expanded result of (2+1)(3−2)(5+2) is 21.

Your students can get comfortable expanding multiple brackets by practising with various numbers, and our worksheets provide lots of expanding brackets practice.

Use of the Expanding Brackets in Real Life:

Learning about expanding brackets in maths has real-world relevance. Think about shopping: if you buy three sets of items, each with different items priced differently, you will use the expanding brackets principle to determine your total cost. Or when splitting costs among friends at a restaurant, working out shared bills involves similar logic. This skill simplifies complex situations into more manageable tasks, allowing us to make sense of varied scenarios in our daily lives quickly. From budgeting to project planning, understanding expanding brackets can make everyday calculations more precise and more accurate. It’s maths in action, directly aiding our decision-making.