Simplifying: Error Analysis & Misconceptions
Mathematics
Year 9
11 questions
~22 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on common errors and misconceptions when simplifying fractions and percentages. Designed to enhance procedural mastery and understanding.
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Full preview • 11 questions
Simplifying: Error Analysis & Misconceptions
Subject: MathematicsGrade: Year 9
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Untitled Worksheet
Grade Year 9
A
Fluency & Practice
Simplify each of the following. Show your working in the grid spaces provided.
1.
Simplify the fraction 18/24 to its lowest terms.
[2 marks]2.
Express 75% as a simplified fraction.
[2 marks]3.
Simplify 50/100.
[2 marks]B
Problem Solving & Reasoning
Work through the problems carefully and explain your reasoning.
1.
A student says that 45/60 cannot be simplified because 45 and 60 do not share a common factor. Is this correct? Explain and simplify if possible.
[4 marks]2.
A recipe requires 150 grams of sugar, which is 25% of the total weight. Find the total weight and simplify the percentage to a fraction.
[4 marks]C
Real-world Applications
Solve the following word problems related to percentages and fractions.
1.
A store offers a discount of 20%, which is equivalent to what fraction? Simplify your answer.
[3 marks]2.
A student scores 18 out of 24 points on a test. Express this score as a percentage and simplify to a fraction.
[3 marks]D
Challenge & Extension
Attempt these more advanced problems involving simplifying expressions.
1.
Simplify the complex fraction: (9/12) ÷ (15/20).
[4 marks]2.
Construct a fraction equivalent to 7/10 that has numerator and denominator both divisible by 3. Explain why this is not possible, and suggest the correct simplified form.
[4 marks]E
Mixed Review & Error Analysis
Identify the mistake in each problem and correct it.
1.
A student simplifies 36/48 to 3/4 by dividing numerator and denominator by 12, which is correct. However, another student simplifies 50/100 to 1/2 by dividing by 25, which is also correct. Is their method consistent? Explain.
[3 marks]2.
A student claims that 8/12 simplifies to 2/3 by dividing both by 4. Is this correct? Why or why not?
[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.
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet