Greatest Common Factor: Real-world Applications
Mathematics
GCSE Foundation
13 questions
~26 mins
1 views0 downloads
About This Worksheet
A worksheet exploring the application of Greatest Common Factor in shopping and money scenarios, with varying question types to develop procedural and problem-solving skills.
Worksheet Preview
Full preview • 13 questions
Greatest Common Factor: Real-world Applications
Subject: MathematicsGrade: GCSE Foundation
Name:
Date:
TeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizz
Untitled Worksheet
Grade GCSE Foundation
A
Fluency & Practice
Answer all questions. Show your working in the grid spaces provided.
1.
Find the Greatest Common Factor of 18 and 24.
[2 marks]2.
Calculate the GCF of 45, 75, and 105.
[3 marks]3.
Determine the GCF of 40 and 60.
[2 marks]4.
What is the GCF of 81 and 54?
[2 marks]B
Problem Solving & Reasoning
Answer each question with detailed working.
1.
A shop sells packs of 18 pens and 24 pencils. What is the largest number of packs that can be made so that each pack has the same number of pens and pencils? Explain your reasoning.
[4 marks]2.
A farmer has 48 apples and 60 oranges. He wants to pack them into baskets with an equal number of each fruit without leftovers. How many baskets can he fill? Show your working.
[4 marks]C
Real-world Applications
Solve these shopping and money-related problems.
1.
A customer buys 36 notebooks and 48 pens. To pack them into identical boxes with no items left over, what is the maximum number of boxes? Explain your answer.
[3 marks]2.
A supermarket receives deliveries of 150 and 225 units of two different products. To organize stock efficiently, what is the largest number of identical pallets they can use? Show your working.
[3 marks]D
Challenge & Extension
Attempt these more difficult problems.
1.
A factory produces boxes of 84 and 126 units. Find the largest batch size that can be produced to include equal units from both types without leftovers. Explain your reasoning.
[4 marks]2.
Two different sets of coins totaling 90p and 120p are to be divided equally among several children. What is the maximum amount each child can get if the coins are divided evenly? Show your working.
[4 marks]E
Mixed Review
Tackle this variety of questions to test your understanding.
1.
Find the GCF of 56, 98, and 154.
[3 marks]2.
Simplify the fraction 48/64 using GCF.
[2 marks]F
Error Analysis
Review these common mistakes and identify the correction.
1.
A student finds the GCF of 20 and 30 as 15, claiming it's the highest common factor. Is this correct? If not, what is the correct GCF and why?
[2 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
Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet