Small Numbers: Problem Solving & Reasoning

Mathematics
GCSE Higher
12 questions
~24 mins
1 views0 downloads

About This Worksheet

A worksheet focusing on the concept of Lowest Common Multiple (LCM) for small numbers, encouraging procedural mastery, problem-solving, and real-world applications.

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Full preview • 12 questions

Small Numbers: Problem Solving & Reasoning

Subject: MathematicsGrade: GCSE Higher
Name:
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 LCM of 3 and 4.
[2 marks]
2.
Find the LCM of 5, 6, and 10.
[2 marks]
3.
Calculate the LCM of 2, 3, and 7.
[2 marks]
4.
Determine the smallest number that is divisible by both 4 and 6.
[3 marks]
5.
Plot the graph of y = 2x for x values from 1 to 5 on the grid.
[2 marks]
6.
Construct a triangle on the grid with sides of length 3, 4, and 5. Label the sides appropriately.
[3 marks]
7.
Find the LCM of 8 and 12.
[2 marks]
8.
A factory produces items in batches every 6 days and every 8 days. When is the earliest day they will produce both batches simultaneously?
[3 marks]
9.
Calculate the LCM of 9 and 12.
[2 marks]
10.
A bus departs every 15 minutes and a train every 20 minutes from the same station. When will both depart together again after 9:00 AM?
[3 marks]
11.
Identify and correct the mistake: Find the LCM of 4 and 5, assuming the answer is 20.
[3 marks]
12.
Challenge: Find the LCM of 3, 4, 5, and 6. Explain your reasoning.
[4 marks]

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Details

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