Algebraic: Fluency & Practice on Factorising (Common Factor)
Mathematics
GCSE Higher
11 questions
~22 mins
1 views0 downloads
About This Worksheet
A focused worksheet to develop procedural skills in factorising algebraic expressions by identifying common factors, suitable for GCSE Higher students.
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Algebraic: Fluency & Practice on Factorising (Common Factor)
Subject: MathematicsGrade: GCSE Higher
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Untitled Worksheet
Grade GCSE Higher
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Factorise completely: 6x + 9
[2 marks]2.
Factorise: 4a + 8b
[2 marks]3.
Factorise: 15xy + 20xz
[2 marks]4.
Simplify by factorising: 18x^2 - 24x
[2 marks]5.
Factorise: 12x^2 + 18x
[2 marks]6.
Factorise: 10x^3 - 15x^2 + 5x
[2 marks]7.
Solve: Factorise 8x^2 + 12x = 0 and find the values of x.
[3 marks]8.
Factorise: 7a^2b + 14ab^2
[2 marks]9.
Construct an algebraic expression that is factorised as 3(x + 4) and expand it.
[3 marks]10.
Identify the mistake: Factorise x^2 + 6x as (x + 6)(x + 1).
[3 marks]11.
Challenge: Factorise the cubic expression: x^3 + 3x^2 + 3x + 1.
[3 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet