Mastering Factorising
Mathematics
Grade 8
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About This Worksheet
A worksheet covering Factorising for Grade 8 students, focusing on algebraic expressions.
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Mastering Factorising
Subject: MathematicsGrade: Grade 8
Name:
Date:
Untitled Worksheet
Grade Grade 8
A
Introduction
Review the key concepts of factorising algebraic expressions. Remember, factorising involves rewriting an expression as a product of its factors.
B
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Factorise the expression: x^2 + 5x
[2 marks]2.
Factorise the quadratic: x^2 - 9
[2 marks]3.
Factorise: 3x^2 + 6x
[2 marks]4.
Factorise the expression: 4x^2 - 25
[2 marks]5.
Simplify by factorising: 8x^3 + 4x^2
[2 marks]6.
Factorise: x^2 + 6x + 9
[2 marks]7.
Reasoning: Why is x^2 - 16 factorised as (x - 4)(x + 4)?
[3 marks]8.
Factorise: 2x^2 + 8x
[2 marks]9.
Apply factorising to solve for x: x^2 + 7x = 0
[3 marks]10.
Challenge: A rectangle has an area represented by x^2 + 5x. If the length is x + 5 and the width is x, find the possible dimensions of the rectangle.
[4 marks]Quick Actions
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Details
- Created
- 12/30/2025
- Updated
- 12/30/2025
- Type
- worksheet