Small Numbers: Error Analysis & Misconceptions
Mathematics
GCSE Foundation
12 questions
~24 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on common misconceptions and error analysis related to finding the LCM of small numbers, designed for GCSE Foundation students.
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Small Numbers: Error Analysis & Misconceptions
Subject: MathematicsGrade: GCSE Foundation
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Untitled Worksheet
Grade GCSE Foundation
A
Introduction
Read the key concept below before attempting the questions.
1.
The Lowest Common Multiple (LCM) of two numbers is the smallest number that is a multiple of both. To find the LCM of small numbers, list their multiples and identify the smallest common one.
[2 marks]B
Fluency & Practice
Answer all questions. Show your working where necessary.
1.
Calculate the LCM of 3 and 4.
[2 marks]2.
Calculate the LCM of 5 and 6.
[2 marks]3.
Find the LCM of 2, 3, and 4.
[3 marks]4.
List the first three multiples of 7 and identify the LCM with 14.
[3 marks]C
Problem Solving & Reasoning
Attempt the following multi-step problems. Explain your reasoning clearly.
1.
Two buses arrive at a stop every 8 and 12 minutes respectively. If both buses arrive together at 9:00 am, at what time will they next arrive together? Explain your method.
[4 marks]2.
A student is trying to find the LCM of 4 and 6 but writes 24 as their answer. Identify a common mistake they might have made and correct it.
[4 marks]D
Real-world Applications
Solve these word problems based on real-life scenarios involving small numbers.
1.
A gardener waters two sections of a garden. One section needs watering every 3 days, and the other every 4 days. If both sections are watered today, after how many days will they need to be watered together again? Explain your reasoning.
[3 marks]E
Challenge & Extension
Attempt these more difficult problems to extend your understanding.
1.
Find the LCM of 8, 9, and 12 using prime factorization. Show all your steps.
[5 marks]2.
A factory produces items every 15 minutes and every 20 minutes. After how many minutes will both production cycles align again? Show your working.
[4 marks]F
Mixed Review & Error Analysis
Answer these questions which test your understanding and ability to identify errors.
1.
A student claims that the LCM of 3 and 5 is 15 because 3×5=15. Is this correct? Explain and correct if necessary.
[3 marks]2.
Identify and correct the mistake: The LCM of 4 and 6 is 24.
[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.
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet