Mastering Factorising
Mathematics
Grade 7
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About This Worksheet
A worksheet covering basic and applied factorising techniques for Grade 7 students.
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Mastering Factorising
Subject: MathematicsGrade: Grade 7
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Date:
Untitled Worksheet
Grade Grade 7
A
Introduction
Review the key idea that factorising involves writing an expression as a product of its factors. Remember the difference between common factors and algebraic identities.
B
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Factorise the expression: 3x + 6
[2 marks]2.
Factorise the expression: x² + 5x
[2 marks]3.
Factorise the expression: 2x² - 8
[2 marks]4.
Factorise: 9x² - 16
[2 marks]5.
Factorise: x² + 7x + 12
[2 marks]6.
Factorise: 4x² - 25
[2 marks]7.
Factorise: x³ + 3x²
[2 marks]8.
Factorise: 6x² + 9x
[2 marks]9.
Reasoning: If 12x + 18 is factorised, what is the common factor?
[2 marks]10.
Reasoning: Which of the following is a perfect square? a) x² + 6x + 9, b) x² + 5x + 6
[1 mark]11.
Solve for x: x² - 9 = 0 by factorising.
[3 marks]12.
Challenge: A rectangle's length is 3 times its width. If the area is expressed as x² + 4x, find the dimensions of the rectangle.
[4 marks]Quick Actions
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Details
- Created
- 12/30/2025
- Updated
- 12/30/2025
- Type
- worksheet