Reverse Compound Interest: Challenge & Extension
Mathematics
Year 9
12 questions
~24 mins
1 views0 downloads
About This Worksheet
A worksheet exploring the concept of reverse compound interest in the context of depreciation, designed to challenge Year 9 students with a variety of problems.
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Reverse Compound Interest: Challenge & Extension
Subject: MathematicsGrade: Year 9
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Date:
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Untitled Worksheet
Grade Year 9
A
Introduction
Read the following explanation carefully before attempting the questions.
1.
Reverse compound interest involves finding the original amount before depreciation, given the current value after a certain period and the depreciation rate. The formula is: Original = Current × (1 + r)^n.
[2 marks]B
Fluency & Practice
Answer all questions. Show your working in the grid spaces provided.
1.
Calculate the original value of an item that is now worth $600 after 3 years of depreciation at a rate of 10% per year.
[3 marks]2.
An asset's current value is $400 after 2 years with an annual depreciation rate of 15%. What was its initial value?
[3 marks]3.
Find the original price of a machine that now costs $720 after 4 years of 8% annual depreciation.
[3 marks]C
Problem Solving & Reasoning
Solve the following multi-step problems with clear explanations.
1.
A car is worth $12,000 after 5 years of depreciation at 12% annually. What was its original value? Show all steps.
[4 marks]2.
An antique item’s current value is $950 after 3 years of depreciation at a rate of 5%. Determine its initial price.
[4 marks]D
Real-world Applications
Use the given information to solve the problems.
1.
A company’s machinery is valued at $50,000 after 10 years of depreciation at 7% annually. What was the original purchase price?
[4 marks]E
Challenge & Extension
Attempt these challenging questions to deepen your understanding.
1.
A laptop is currently worth $540 after 2 years of depreciation at 20%. What was its original price? Show detailed working.
[4 marks]2.
An expensive painting decreases in value by 3% yearly. Its current value is $9,100 after 4 years. Find its initial value.
[3 marks]F
Mixed Review
Answer the following questions to review your understanding.
1.
If an item’s current value is $800 after 3 years of 10% depreciation, what was its original value?
[3 marks]2.
A vehicle was worth $15,000 five years ago. It depreciated at a rate of 9% annually. What is its current value?
[3 marks]G
Error Analysis
Review the common mistake below and identify what was done incorrectly. Correct the error.
1.
A student calculates the original value as $1000 when given a current value of $800 after 2 years at 10%. They used the formula: Original = 800 ÷ (1 + 0.10)^2. Is this correct? If not, what is the mistake?
[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)
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- • Add more questions (10 → 15)
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet