Numerical: Fluency & Practice on Factorising (Common Factor)
Mathematics
Grade 8
11 questions
~22 mins
1 views0 downloads
About This Worksheet
This worksheet focuses on numerical factorising, helping students develop procedural mastery of extracting common factors from algebraic expressions. It includes a range of questions from straightforward to challenging to enhance understanding.
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Numerical: Fluency & Practice on Factorising (Common Factor)
Subject: MathematicsGrade: Grade 8
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Untitled Worksheet
Grade Grade 8
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Find the highest common factor (HCF) of 24 and 36.
[2 marks]2.
Factorise the expression 18x + 30.
[2 marks]3.
Calculate the GCF of 48, 60, and 72.
[2 marks]4.
Factorise 45y + 60.
[2 marks]5.
Identify the common factor in 35 and 50, then factorise 35a + 50.
[2 marks]6.
Find the GCF of 81 and 54.
[2 marks]7.
Factorise 14x - 21.
[2 marks]8.
Calculate the GCF of 36, 48, and 60.
[2 marks]9.
Construct an expression by factorising 56m + 84.
[3 marks]10.
A school is organising supplies. They purchase 120 pencils and 150 markers. Find the GCF to determine how many sets they can create with equal items in each set.
[3 marks]11.
A student makes a mistake by incorrectly extracting the common factor from 24x + 36. The student writes 6(x + 6). Identify and explain the mistake, then correct the factorisation.
[3 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet