Small Numbers: Challenge & Extension

Mathematics
Grade 7
12 questions
~24 mins
1 views0 downloads

About This Worksheet

A worksheet focusing on the Highest Common Factor (HCF) of small numbers, designed to challenge and extend Grade 7 students' understanding and problem-solving skills.

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Full preview • 12 questions

Small Numbers: Challenge & Extension

Subject: MathematicsGrade: Grade 7
Name:
Date:
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Untitled Worksheet

Grade Grade 7
A

Practice Questions

Answer all questions. Show your working in the grid spaces provided.
1.
Calculate the HCF of 12 and 18 using prime factorization.
[2 marks]
2.
Find the HCF of 24, 36, and 48.
[2 marks]
3.
Determine the HCF of 15 and 25.
[2 marks]
4.
Find the HCF of 8, 12, and 20.
[2 marks]
5.
Calculate the HCF of 21 and 28.
[2 marks]
6.
Find the HCF of 30, 45, and 60.
[2 marks]
7.
Using prime factorization, find the HCF of 16 and 24.
[3 marks]
8.
Solve for the HCF of 35 and 49. Explain your method.
[4 marks]
9.
The numbers of apples in two baskets are 18 and 24. What is the largest number of equal-sized groups you can form from both baskets?
[4 marks]
10.
A factory produces boxes of 16, 24, and 40 items. What is the maximum number of boxes that can be packed so each box contains the same number of items?
[4 marks]
11.
Identify the common mistake: A student finds the HCF of 18 and 24 as 12, claiming they used the difference method. Explain why this is incorrect.
[3 marks]
12.
Challenge: Find the HCF of 36, 60, and 84 without prime factorization, using common factors.
[4 marks]

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Details

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