Reverse Compound Interest: Problem Solving & Reasoning

Mathematics
GCSE Foundation
11 questions
~22 mins
1 views0 downloads

About This Worksheet

A worksheet focusing on Reverse Compound Interest, helping students understand how to determine the original value before depreciation using proportion and percentage calculations.

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Reverse Compound Interest: Problem Solving & Reasoning

Subject: MathematicsGrade: GCSE Foundation
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Untitled Worksheet

Grade GCSE Foundation
A

Practice Questions

Answer all questions. Show your working in the grid spaces provided.
1.
A car depreciates by 15% each year. If its current value is £12,750, what was its value one year ago?
[3 marks]
2.
A machine's value decreases by 8% annually. After 3 years, its value is £10,000. Calculate its original value before depreciation started.
[4 marks]
3.
A laptop is worth £800 after 2 years of depreciation at 10% per year. What was its initial value?
[3 marks]
4.
A value of £20,000 depreciates by 12% each year. What was its value 4 years ago?
[4 marks]
5.
A bicycle's value decreases by 20% annually. If it is now worth £160, what was its value 2 years ago?
[3 marks]
6.
A watch depreciates by 5% per year. Its current value is £475. How much was it worth 1 year ago?
[3 marks]
7.
A vintage car is valued at £50,000 today, having depreciated by 10% annually. How many years ago was its value £75,000?
[4 marks]
8.
A factory's equipment depreciates by 7% each year. If the current value is £930, what was its value 5 years ago?
[4 marks]
9.
A piece of jewelry was worth £10,000 five years ago. It depreciated by 4% annually. What is its current value?
[3 marks]
10.
An antique sofa's value decreased from £2,500 to £1,750 over 2 years due to depreciation. What is the annual depreciation rate?
[4 marks]
11.
Common mistake: A student calculates a depreciation of 10% on a value of £100 as £110. Identify and correct the mistake in their calculation.
[2 marks]

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Details

Created
1/1/2026
Updated
1/1/2026
Type
worksheet