Common Factors: Mixed Review
Mathematics
GCSE Higher
12 questions
~24 mins
1 views0 downloads
About This Worksheet
A comprehensive worksheet reviewing common factors to simplify fractions, with a mix of procedural, reasoning, real-world, and extension questions aimed at GCSE Higher students.
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Full preview • 12 questions
Common Factors: Mixed Review
Subject: MathematicsGrade: GCSE Higher
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Untitled Worksheet
Grade GCSE Higher
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Find the greatest common factor (GCF) of 24 and 36.
[2 marks]2.
Simplify the fraction 42/56 using common factors.
[2 marks]3.
Identify the common factors of 18 and 24.
[2 marks]4.
A recipe calls for 36g of sugar and 48g of flour. Find the largest amount of mixture that can be divided into equal parts using common factors.
[4 marks]5.
Construct a rectangle with side lengths that share a common factor of 5, with the longer side being 50 units.
[3 marks]6.
Choose the correct simplified form of the fraction 81/99.
[1 mark]A3/11
B9/11
C27/33
D81/99
7.
Find all common factors of 14, 35, and 49.
[3 marks]8.
A student simplifies the fraction 50/100 as 1/2. Identify the common mistake they might have made.
[3 marks]9.
Calculate the GCF of 81 and 90 using prime factorization.
[3 marks]10.
Which of the following pairs of numbers have a greatest common factor of 1?
(a) 8 and 15
(b) 12 and 18
(c) 7 and 13
[1 mark]Aa only
Bb only
Ca and c
Db and c
11.
Identify the common factors of 45 and 60 and explain their role in simplifying fractions.
[4 marks]12.
Find the GCF of 56 and 48 and then use it to simplify the fraction 56/48.
[3 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet