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Mastering Reverse Percentages

Mathematics
GCSE Higher
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About This Worksheet

A worksheet covering Reverse Percentages for GCSE Higher students. It includes procedural questions and real-world problems to deepen understanding of the concept.

Topics covered:

#Mathematics
#Reverse Percentages

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Mastering Reverse Percentages

Subject: MathematicsGrade: GCSE Higher
Name:
Date:

Untitled Worksheet

Grade GCSE Higher
A

Introduction

Review the key concept: To find the original amount before a percentage increase or decrease, use the reverse percentage calculation. The formula is: Original = Final amount ÷ (1 ± Rate/100).
B

Practice Questions

Answer all questions. Show your working in the grid spaces provided.
1.
A price after a 15% increase is £460. Find the original price.
[3 marks]
2.
A quantity after a 25% decrease is 150 units. What was the original quantity?
[3 marks]
3.
The final amount is £85 after a 20% reduction. What was the initial amount?
[3 marks]
4.
A product's price was increased by 10% to £330. Find the original price.
[3 marks]
5.
A sports item is discounted by 30% and costs £70. What was its original price?
[3 marks]
6.
The final price after a 12% discount is £88. Find the original price.
[3 marks]
7.
An amount is increased by 18% to £590. Find the original amount.
[3 marks]
8.
A worker's salary was decreased by 10% to £540. What was the original salary?
[3 marks]
9.
A car's value drops by 20% to £16,000. What was its original value?
[3 marks]
10.
A shop sells an item for £84 after a discount. If the discount was 20%, what was the original price?
[3 marks]
11.
A company's revenue increased from £1,200 to £1,440. What percentage increase does this represent?
[2 marks]
12.
A population decreased from 50,000 to 45,000. Find the percentage decrease.
[2 marks]

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Details

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