Numerical: Mixed Review on Factorising (Common Factor)

Mathematics
GCSE Higher
11 questions
~22 mins
1 views0 downloads

About This Worksheet

A mixed review worksheet focusing on numerical factorising, designed for GCSE Higher students to develop procedural skills and problem-solving abilities.

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Full preview • 11 questions

Numerical: Mixed Review on Factorising (Common Factor)

Subject: MathematicsGrade: GCSE Higher
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Date:
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Untitled Worksheet

Grade GCSE Higher
A

Practice Questions

Answer all questions. Show your working in the grid spaces provided.
1.
Calculate the highest common factor (HCF) of 24 and 36.
[2 marks]
2.
Factorise 56x + 42.
[2 marks]
3.
Simplify 81y^2 - 27y.
[2 marks]
4.
Factorise 100x^2 - 25.
[2 marks]
5.
Express 45a + 60 as a product of its common factors.
[2 marks]
6.
Solve for x: 6x + 18 = 0 after factorising.
[3 marks]
7.
Factorise 48z^3 + 60z^2.
[2 marks]
8.
What is the common factor in 81x^3 and 27x^2?
[2 marks]
9.
Construct a factorised form of 36a^2b + 48ab^2.
[3 marks]
10.
Identify and correct the mistake: Factorising 50x + 75 results in 25(2x + 3x).
[3 marks]
11.
Find the factorised form of 90x^2 - 150x + 60.
[3 marks]

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Details

Created
1/1/2026
Updated
1/1/2026
Type
worksheet