MathsFreePrintable

Factorising Single Brackets

A free maths worksheet ready for your classroom. Open in Kuraplan to grab the print-ready PDF, customize it for your students, or generate a fresh version in seconds.

Factorising Single Brackets worksheet preview

Factorising Single Brackets

Algebra worksheet illustration

📚 Part 1: Finding Common Factors

1. What is the greatest common factor (GCF) of these terms?

a) 6x and 12

2

3

6

12

2. What is the greatest common factor of 10y and 15?

3

5

10

15

3. Which expression shows 8m + 12 factorised correctly?

2(4m + 6)

4(2m + 3)

8(m + 12)

12(8m + 1)

✏️ Part 2: Factorising Practice

4. Factorise these expressions by taking out the common factor:

a) 3x + 9 = _______ ( _______ + _______ )

b) 5y + 10 = _______ ( _______ + _______ )

c) 4a + 16 = _______ ( _______ + _______ )

d) 7m + 21 = _______ ( _______ + _______ )

5. Show your working to factorise 6p + 18:
6. Factorise completely:

a) 12x + 8 = _________________

b) 15n + 25 = _________________

c) 9t + 27 = _________________

🎯 Part 3: Problem Solving

7. A rectangle has length (2x + 6) cm. If this can be written as 2(x + 3) cm, what is the common factor that has been taken out?
8. Match each expression to its factorised form by drawing lines:
14y + 7
6a + 9
20x + 15
3(2a + 3)
5(4x + 3)
7(2y + 1)
9. Explain in your own words what it means to factorise an expression:

About This Worksheet

Free in Kuraplan

Sign up free, grab the PDF, and customize it for your class.

Print-Ready

Formatted for standard paper. Clean layout, easy to read.

AI-Generated

Created with Kuraplan's AI, designed for real classroom use.

For Teachers & Parents

Use in classrooms, for homework, tutoring, or homeschool.

Need a custom version of this worksheet?

Kuraplan's AI generates custom worksheets in seconds — differentiated for every learner, aligned to your curriculum.

Generate Custom Worksheets — Free
No credit card Curriculum-aligned Under 60 seconds