HCF Method: Problem Solving & Reasoning
Mathematics
Grade 7
14 questions
~28 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on using the HCF method to simplify ratios and solve related problems, designed for Grade 7 students.
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Full preview • 14 questions
HCF Method: Problem Solving & Reasoning
Subject: MathematicsGrade: Grade 7
Name:
Date:
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Untitled Worksheet
Grade Grade 7
A
Fluency & Practice
Answer all questions. Show your working in the grid spaces provided.
1.
Find the HCF of 36 and 48. Use it to simplify the ratio 36:48.
[2 marks]2.
Calculate the HCF of 81 and 99, then write the ratio 81:99 in simplest form.
[2 marks]3.
Determine the HCF of 50 and 75 and simplify the ratio 50:75.
[2 marks]4.
Find the HCF of 42 and 56 and simplify the ratio 42:56.
[2 marks]B
Targeted Practice
Answer all questions. Show your working in the grid spaces provided.
1.
The numbers of students in two classes are in the ratio 24:36. Find the HCF of these ratios and simplify.
[3 marks]2.
A recipe requires ingredients in the ratio 18:24 for sugar to flour. Find the HCF and simplify the ratio.
[2 marks]3.
Two numbers are in the ratio 81:99. Find their HCF and write the ratio in simplest form.
[2 marks]4.
Simplify the ratio 60:84 using the HCF method.
[2 marks]5.
The length and width of a rectangle are in the ratio 35:49. Find the HCF and write the simplified ratio.
[2 marks]C
Real-world Applications
Answer all questions. Show your working in the grid spaces provided.
1.
A group of students are arranged in the ratio 30:45 for boys to girls. Find the HCF and the simplified ratio. How many boys and girls are there if the total number of students is 360?
[4 marks]D
Challenge & Extension
Answer all questions. Show your working in the grid spaces provided.
1.
The numbers 144 and 196 are in the ratio 144:196. Find their HCF and write the ratio in simplest form. Then, verify if the ratio of 12:14 simplifies to the same ratio.
[4 marks]E
Mixed Review
Answer all questions. Show your working in the grid spaces provided.
1.
Find the HCF of 90 and 105 and simplify the ratio 90:105.
[2 marks]2.
Identify the common mistake in simplifying the ratio 50:75 as 5:7 and correct it.
[3 marks]F
Error Analysis
Identify the mistake and correct it. Show your working.
1.
A student simplified the ratio 48:64 to 4:8. Is this correct? If not, correct the simplification and explain the mistake.
[3 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)
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- • Add more questions (10 → 15)
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet