After Increase: Error Analysis & Misconceptions
Mathematics
Grade 6
11 questions
~22 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on understanding and correcting misconceptions related to finding the original amount after a percentage increase. Includes error analysis, practice, reasoning, and real-world applications.
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After Increase: Error Analysis & Misconceptions
Subject: MathematicsGrade: Grade 6
Name:
Date:
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Untitled Worksheet
Grade Grade 6
A
Fluency & Practice
Answer all questions. Show your working in the grid spaces provided.
1.
A shirt originally cost $50. It was increased by 20%. What is the new price?
[2 marks]2.
After a 25% increase, an item now costs $125. What was the original price?
[2 marks]3.
A computer's price increased from $800 to a new price after a 15% increase. What is the new price?
[2 marks]B
Problem Solving & Reasoning
Answer all questions. Show detailed working in the grid spaces provided.
1.
A bike was increased in price by 10%, resulting in a new price of $330. Find the original price and explain the steps you took to find it.
[4 marks]2.
A store increased the price of a jacket by 30%. The final price was $130. What was the original price? Show your working.
[3 marks]C
Real-world Applications
Solve the following word problems. Show your working in the grid spaces provided.
1.
A mobile phone plan increased its monthly fee by 15%. If the new fee is $46.50, what was the original fee?
[3 marks]2.
A bakery increased the price of a loaf of bread by 25%. If the new price is $2.50, what was the original price? Show your working.
[3 marks]D
Challenge & Extension
Attempt these more challenging questions. Show your detailed work in the grid spaces provided.
1.
A smartphone's price was increased by 40% to $560. What was its original price? If a customer mistakenly calculates using a simple division, what mistake might they make? Explain and correct it.
[4 marks]2.
A product increased from $75 to a new price. The increase was 12%. Find the new price. Then, analyze a common misconception where students confuse the increase percentage with the original price increase factor.
[4 marks]E
Mixed Review & Error Analysis
Complete these questions to test your understanding. Identify any errors and correct them in your workings.
1.
A jacket's price was increased by 20%, resulting in a new price of $120. A student incorrectly calculates the original price as $100. Identify the mistake and provide the correct original price with proper explanation.
[4 marks]2.
A store claims an item was increased by 50%, and the new price is $150. A student calculates the original price as $100. Is this correct? If not, what is the correct original price? Show your reasoning.
[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.
- • 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