Factorising First: Fluency & Practice
Mathematics
GCSE Higher
10 questions
~20 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on factorising first to simplify algebraic fractions, aimed at GCSE Higher students. Includes procedural exercises, problem solving, real-world contexts, and extension questions.
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Factorising First: Fluency & Practice
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 the expression: x^2 + 5x + 6.
[2 marks]2.
Factorise completely: 3x^2 - 12.
[2 marks]3.
Simplify by factorising: (x^2 - 9)/(x - 3).
[3 marks]4.
Factorise: 4x^2 + 25x + 24.
[2 marks]5.
Factorise the quadratic: 6x^2 + 7x - 5.
[2 marks]6.
Construct a quadratic that factorises to (x + 4)(x - 3).
[3 marks]7.
Simplify: (2x^2 - 8)/(x - 2).
[3 marks]8.
Factorise: 9x^2 + 24x + 16.
[2 marks]9.
A quadratic expression factors to (2x + 1)(x - 3). Expand and simplify.
[3 marks]10.
Identify and correct the mistake: Factorise x^2 + 4x + 5 as (x + 2)^2.
[3 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet