Mastering Factorising
Mathematics
GCSE Foundation
1 questions
~2 mins
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About This Worksheet
A worksheet covering Factorising for GCSE Foundation students.
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Mastering Factorising
Subject: MathematicsGrade: GCSE Foundation
Name:
Date:
Untitled Worksheet
Grade GCSE Foundation
A
Introduction
Read the brief explanation below before attempting the questions.
1.
Factorising is the process of expressing an algebraic expression as a product of its factors. This often involves identifying common factors or applying special product formulas such as the difference of squares.
[2 marks]B
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Factorise: 6x + 9
[1 mark]2.
Factorise: x^2 + 5x
[1 mark]3.
Factorise: 4x^2 - 16
[1 mark]4.
Factorise: 3x^2 + 6x + 3
[1 mark]5.
Factorise: x^2 - 9
[1 mark]6.
Factorise: 8x^2 + 12x
[1 mark]7.
Factorise: 2x^2 + 3x - 2
[1 mark]8.
Factorise: x^2 + 4x + 4
[1 mark]9.
Factorise: 10x^2 + 15x
[1 mark]10.
Factorise: x^2 - 7x + 12
[1 mark]11.
A rectangle has a length of 2x + 3 and a width of x + 1. Write an expression for its area and factorise it fully.
[3 marks]12.
A farmer is dividing a rectangular plot of land into two sections. The total area of the land is 3x^2 + 12x. Factorise the expression to find possible dimensions of the sections.
[3 marks]Quick Actions
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Details
- Created
- 12/30/2025
- Updated
- 12/30/2025
- Type
- worksheet