Mastering Factorising
Mathematics
Year 9
0 questions
0 views0 downloads
About This Worksheet
A worksheet covering Factorising for Year 9 students.
Topics covered:
Worksheet Preview
Full preview • 0 questions
Mastering Factorising
Subject: MathematicsGrade: Year 9
Name:
Date:
Untitled Worksheet
Grade Year 9
A
Introduction
Review the key concept: Factorising involves expressing a quadratic or algebraic expression as a product of its factors. Remember to look for common factors, difference of squares, and quadratic trinomials.
B
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Factorise the expression: 3x + 6.
[1 mark]2.
Factorise: x^2 + 5x + 6.
[1 mark]3.
Factorise: 4x^2 - 25.
[1 mark]4.
Factorise: 9x^2 + 6x.
[1 mark]5.
Simplify by factorising: 8x^2 + 4x.
[1 mark]6.
Factorise: x^2 - 9.
[1 mark]7.
Express as a product: 6x^2 + 3x.
[1 mark]8.
Factorise: 2x^2 + 8x + 6.
[1 mark]9.
Solve for x: x^2 - 4x = 0 by factorising.
[2 marks]10.
Factorise: x^3 + 3x^2.
[2 marks]11.
Challenge: A rectangle's length is represented by 2x + 3, and its width by x + 1. Express the area as a factorised algebraic expression.
[3 marks]12.
Real-world application: A company produces x^2 + 5x units of a product. If the production increases by 4x + 2 units, express the total production as a factorised expression.
[3 marks]Quick Actions
What is Remix?
Create a new worksheet based on this one. Change the grade level, topic, number of questions, or difficulty - then generate a fresh version.
- • Change grade level (Grade 6 → Grade 7)
- • Swap topics (Harry Potter → Macbeth)
- • Add more questions (10 → 15)
- • Adjust difficulty
Related Worksheets
Details
- Created
- 12/30/2025
- Updated
- 12/30/2025
- Type
- worksheet