Fractions: Error Analysis & Misconceptions
Mathematics
Year 9
14 questions
~28 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on common misconceptions and error analysis related to fractions within the context of recipe scaling. Designed to develop procedural mastery and reasoning skills.
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Fractions: Error Analysis & Misconceptions
Subject: MathematicsGrade: Year 9
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Date:
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Untitled Worksheet
Grade Year 9
A
Fluency & Practice
Answer all questions. Show your working in the grid spaces provided.
1.
Simplify the fraction 18/24. Show your working.
[2 marks]2.
Add the fractions 2/5 and 3/10. Write your answer in simplest form.
[2 marks]3.
Multiply 3/4 by 2/3. Show your working.
[2 marks]4.
Divide 5/8 by 2/3. Show your working.
[2 marks]B
Problem Solving & Reasoning
Answer all questions with detailed reasoning where needed.
1.
A recipe calls for 3/4 cup of sugar. If you want to make half the amount, how much sugar do you need? Explain your reasoning.
[3 marks]2.
A cake recipe requires 2/3 of a cup of butter. A student mistakenly multiplies this amount by 2 instead of dividing to halve the recipe. What amount of butter does the student use? Is this correct? Explain why or why not.
[3 marks]3.
A recipe scaled up by a factor of 1.5 requires 1 1/4 cups of flour. How much flour was in the original recipe? Show your working.
[3 marks]C
Real-world Applications
Solve these context-based problems involving fractions.
1.
A pancake recipe needs 2/3 cup of milk per batch. If you want to make 4 batches, how much milk do you need? Show your working.
[2 marks]2.
A chef adjusts a sauce recipe that originally calls for 5/8 teaspoon of salt, reducing it to 3/4 of the original amount. How much salt is used now? Show your working.
[2 marks]D
Challenge & Extension
Attempt these more difficult problems for extension.
1.
A recipe calls for 3/4 cup of oil. A substitute is used that is 2/3 as concentrated. How much of the substitute should be used? Show your working.
[3 marks]2.
Explain why adding 1/4 and 2/3 directly does not give the correct total in a recipe. Correct the addition and show the sum.
[3 marks]E
Mixed Review & Error Analysis
Identify and correct the mistake in each problem.
1.
A student multiplies 2/3 by 4/5 and gets 8/15. Is this correct? If not, identify the mistake and provide the correct answer.
[2 marks]2.
A student adds 1/2 and 1/3 and writes the answer as 2/5. Identify the mistake and correct it.
[2 marks]3.
A student reduces 9/12 to 3/4 but then states the simplified fraction is 6/8. Is this correct? Explain.
[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.
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet