Reverse Compound Interest: Error Analysis & Misconceptions
Mathematics
Grade 6
11 questions
~22 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on understanding and applying reverse compound interest concepts, with emphasis on error analysis and common misconceptions for Grade 6 students.
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Reverse Compound Interest: Error Analysis & Misconceptions
Subject: MathematicsGrade: Grade 6
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Untitled Worksheet
Grade Grade 6
A
Fluency & Practice
Answer all questions. Show your working in the grid spaces provided.
1.
If an item’s value decreases by 10% each year, and after 3 years its value is $648, what was its original value?
[2 marks]2.
A car depreciates by 15% annually. If its current value is $5100, what was its value 2 years ago?
[2 marks]3.
A machine’s value was $2000 five years ago. It depreciates by 8% each year. What is its current value?
[2 marks]B
Problem Solving & Reasoning
Answer all questions with detailed working. Explain your reasoning.
1.
A smartphone depreciates by 20% each year. After 4 years, its value is $384. Determine its original price. Show your working.
[4 marks]2.
A bicycle was worth $450 two years ago. It depreciates by 10% annually. What is its current value? Explain the steps involved.
[3 marks]C
Real-world Applications
Solve the following context-based problems.
1.
A computer depreciates at a rate of 25% per year. Its present value is $1500. What was its initial purchase price? Provide your calculations.
[3 marks]D
Challenge & Extension
Attempt these more difficult problems. Show detailed working.
1.
An antique vase depreciated by 12% annually. After 7 years, its value is $420. Find its original value. Demonstrate your solution.
[4 marks]2.
A factory's machinery was worth $50,000 five years ago. It depreciates by 5% annually. What is its current worth? Show your detailed working.
[4 marks]E
Mixed Review
Answer the variety of questions below.
1.
A laptop’s value after 3 years is $1200, depreciating at 15% annually. Find its original price.
[3 marks]2.
A watch depreciates by 10% each year. If its current value is $540, what was its value 3 years ago?
[2 marks]F
Error Analysis
Review the following common mistake. Identify and correct it.
1.
A student calculates the original price of an item by dividing the current value by 0.8, assuming a 20% depreciation. The student gets $500 as the answer. Is this correct? If not, explain and correct 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)
- • Swap topics (Harry Potter → Macbeth)
- • Add more questions (10 → 15)
- • Adjust difficulty
Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet