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Mastering Reverse Percentages

Mathematics
Year 9
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About This Worksheet

A worksheet covering Reverse Percentages for Year 9 students.

Topics covered:

#Mathematics
#Reverse Percentages

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Mastering Reverse Percentages

Subject: MathematicsGrade: Year 9
Name:
Date:

Untitled Worksheet

Grade Year 9
A

Introduction

Review the key concept: To find the original value before a percentage change, divide the given amount by (1 ± percentage as a decimal). For reverse decrease, divide by (1 - rate); for reverse increase, divide by (1 + rate).
B

Practice Questions

Answer all questions. Show your working in the grid spaces provided.
1.
A shirt was sold at a 20% discount, and the sale price was £48. What was the original price?
[2 marks]
2.
After a 15% decrease, a laptop now costs £850. Find the original price.
[2 marks]
3.
A car's value drops by 10%, and it is now valued at £18,000. What was its original value?
[2 marks]
4.
An item's price was increased by 25% to £125. What was its original price?
[2 marks]
5.
A store offers a 10% discount on a £45 jacket. What is the sale price?
[2 marks]
6.
A product's price was decreased by 30%, resulting in a new price of £70. Find the original price.
[2 marks]
7.
A house was valued at £250,000. If its value drops by 12%, what is its new value?
[2 marks]
8.
A phone was originally priced at £600. After a 25% discount, it costs £450. Confirm the original price.
[2 marks]
9.
A bicycle is sold at a 15% profit, and the selling price is £345. Find the cost price.
[2 marks]
10.
A retailer increases the price of a jacket by 40%. If the final price is £140, what was the original price?
[2 marks]
11.
Challenge: A car's value decreases by 18%, and it is now worth £82,200. What was its initial value?
[3 marks]
12.
Real-World Application: A store reduces the price of a bicycle by 25%. The sale price is £150. What was the original price?
[3 marks]

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Details

Created
12/30/2025
Updated
12/30/2025
Type
worksheet
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