Small Numbers: Challenge & Extension
Mathematics
Grade 8
12 questions
~24 mins
1 views0 downloads
About This Worksheet
A worksheet designed to challenge Grade 8 students on understanding and applying LCM concepts with small numbers, including procedural, problem-solving, and extension questions.
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Small Numbers: Challenge & Extension
Subject: MathematicsGrade: Grade 8
Name:
Date:
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Untitled Worksheet
Grade Grade 8
A
Fluency & Practice
Answer all questions. Show your working in the grid spaces provided.
1.
Find the LCM of 3, 4, and 6.
[2 marks]2.
Calculate the LCM of 5 and 7.
[2 marks]3.
What is the LCM of 8 and 12?
[2 marks]4.
Find the LCM of 9, 12, and 15.
[2 marks]B
Problem Solving & Reasoning
Answer all questions, explaining your reasoning clearly.
1.
A classroom has 4 tables with 6 chairs each, and 3 tables with 8 chairs each. What is the smallest number of chairs needed so that chairs can be arranged evenly without leftovers on each table?
[4 marks]2.
A bus makes stops every 15 minutes, and another every 20 minutes. If both buses stop at the same time today, after how many minutes will they stop together again?
[3 marks]C
Real-world Applications
Solve the following word problems related to LCM.
1.
Two light bulbs blink at different intervals: one every 3 seconds, the other every 4 seconds. When will they blink simultaneously again after starting together?
[3 marks]2.
A factory produces widgets in batches every 6 hours and 8 hours. If both batches start at the same time, after how many hours will they next start simultaneously?
[3 marks]D
Challenge & Extension
Attempt these more challenging problems. Show your detailed working.
1.
Find the LCM of 9, 12, 15, and 20. Explain each step of your calculation.
[4 marks]2.
A musician practices every 4 days, another every 6 days, and a third every 9 days. After how many days will they all practice together again? Provide your reasoning.
[4 marks]E
Mixed Review & Error Analysis
Answer the questions and identify common errors in the provided solutions.
1.
A student finds the LCM of 6 and 9 by listing multiples: 6, 12, 18, 24, 30, 36. Is this correct? If not, identify the mistake and correct it.
[3 marks]2.
Calculate the LCM of 8 and 16. What common mistake might students make here?
[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