Mixed: Error Analysis & Misconceptions
Mathematics
Grade 8
10 questions
~20 mins
1 views0 downloads
About This Worksheet
A worksheet focused on identifying and correcting misconceptions in multiplying mixed numbers by fractions. Designed to develop procedural fluency and reasoning skills.
Worksheet Preview
Full preview • 10 questions
Mixed: Error Analysis & Misconceptions
Subject: MathematicsGrade: Grade 8
Name:
Date:
TeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizz
Untitled Worksheet
Grade Grade 8
A
Fluency & Practice
Solve the following problems involving multiplying mixed numbers. Show your working in the grid spaces provided.
1.
Calculate: 2 1/2 × 3/4
[2 marks]2.
Calculate: 1 3/4 × 2/3
[2 marks]3.
Convert 3 2/5 to an improper fraction and multiply by 5/6.
[3 marks]B
Problem Solving & Reasoning
Answer the following multi-step questions. Show detailed reasoning.
1.
A recipe requires 1 1/3 cups of sugar. If you want to make half the recipe, how much sugar do you need? Show your calculations.
[3 marks]2.
A painter uses 2 1/2 liters of paint to cover 3 walls. How much paint is needed for 5 walls? Explain your reasoning.
[3 marks]C
Real-world Applications
Solve the following word problems set in real-world contexts.
1.
A garden is 3 1/4 meters long and 2 2/3 meters wide. If a gardener multiplies the length by the width to find the area, what is the total area? Show your calculations.
[3 marks]D
Challenge & Extension
Attempt the following challenging problems. Show your working clearly.
1.
Convert 4 2/3 to an improper fraction, then multiply by 7/8. Simplify your answer.
[4 marks]2.
A mixture contains 2 3/4 liters of solution. If a chemist adds 1 1/2 times this amount, how much solution is in the mixture? Explain your steps.
[4 marks]E
Mixed Review & Error Analysis
Identify and correct the errors in these common misconceptions. Write the correct procedure or answer.
1.
Student's mistake: 2 1/2 × 3/4 = 2 × 3/4 = 6/4 = 1.5. Fix the error and find the correct answer.
[3 marks]2.
Common mistake: Multiplying the mixed number directly without converting. Why is this wrong? Correct the approach.
[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)
- • Swap topics (Harry Potter → Macbeth)
- • Add more questions (10 → 15)
- • Adjust difficulty
Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet