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GCSE Reverse Percentages Questions and Answers

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Question 14 - AQA GCSE Higher Maths Past Paper 3 November 2021

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Question 11 - AQA GCSE Higher Maths Past Paper 3 November 2021

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Question 35 - AQA GCSE Foundation Maths Past Paper 3 November 2021

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Question 20 - OCR GCSE Foundation 2017 Past Paper 1 - Numbers, Percentages, Questions By Topic

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Question 27 - AQA GCSE Foundation 2017 Past Paper 3 - Numbers, Reverse Percentages Questions By Topic

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Question 11 - Edexcel GCSE Foundation 2018 Past Paper 3 Numbers, Percentages, Reverse Percentages, Questions By Topic

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Question 09 - AQA GCSE Higher 2018 Maths Past Paper 3 - Numbers, Reverse Percentages Questions By Topic

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Question 11 - Edexcel GCSE Higher 2018 Past Paper 3 - Numbers, Percentages, Reverse Percentages, Percentage Profit and Loss Questions By Topic

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Question 10 - Edexcel GCSE Higher 2017 Maths Past Paper 1 - Numbers Percentages Reverse Percentages Questions By Topic

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Reverse Percentages - GCSE Mathematics - Revision and Examples

1. Reverse Percentages

Reverse percentages make it easier to determine an item's original cost or worth after it has increased or dropped in value, for as after a price hike or a sale.

1.1 How to calculate Reverse Percentages?

In order to calculate Reverse Percentages, we use the following methods: 

Method 1: Reverse Percentages 1% to 100%

  1. Write the amount in the question as a percentage of the original value i.e. write an increase of 20% as 120% and a decrease of 10% as 90% 
  2. Divide the amount by this value to find 1% of the original value. 
  3. Multiply by 100.

Example: Sarah buys a top in a sale. It is reduced by 20% down to a price of £40. Work out the original price of the dress.

Solution: 

Reverse Percentages Example Solution 01

Method 2: Reverse Percentages using decimals 

  1. Write the amount in the question as a percentage of the original value o i.e. write an increase of 20% as 120% and a decrease of 10% as 90% 
  2. Convert this percentage to a decimal or a fraction. 
  3. Divide the amount by this value to find the original value.

Example: Sarah also buys a skirt in the sale. It is reduced by 40% down to a price of £36. Work out the original price of the skirt.
Solution:

Reverse Percentages Example Solution 02

Example: 150% of a number is 690. Calculate the original number.
Solution:

Reverse Percentages Example Solution 03

Quiz
GCSE Reverse Percentages

GCSE Topics

  • Statistical Measures (5)
  • Numbers (1,084)
  • Data Visualisation (4)
  • Algebra (1,176)
  • Ratio, Proportion and Rates of Change (443)
  • Geometry and Measures (809)
  • Statistics (274)
  • Probability (258)
  • Frequently Asked Questions
    What are the main topics in GCSE Maths?

    The main topics in GCSE Maths are:

    • Numbers
    • Algebra 
    • Ratio, Proportion and Rates of Change 
    • Geometry and Measures
    • Statistics 
    • Probability 
    • Statistical Measures 
    • Data Visualisation 

    With regular practice of GCSE Maths topic-wise questions and GCSE Maths past pacers, you can easily score high marks.

    Is GCSE Maths hard?

    Although many people think of GCSE maths as a difficult subject, with the correct training and preparation,you can master it in time. You can practice GCSE Maths  topic-wise questions daily to improve speed, accuracy, and time and to score high marks in the GCSE Maths exam.

    What is a good grade on GCSE Maths Exam?

    A grade of 4 or 5 would be considered "good" because the government has established a 4 as the passing grade; a grade of 5 is seen as a strong pass. Therefore, anything that exceeds this level would be considered good. You can practice GCSE Maths topic-wise questions to score good grades in the GCSE Maths exam.

    How can I get full marks in GCSE Maths?

    You can get a high score in GCSE Maths through meticulous practice of GCSE Maths topic-wise questions and GCSE Maths past papers.

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