GCSE · Percentages & growth

Reverse percentagesExam-style questions

How to find the original amount before a percentage change, and why you must divide by the multiplier rather than apply the percentage to the new amount.

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18 questions · GCSE (Higher) level · mark scheme and worked solution on each · no sign-up to try

DifficultyAll Level 1 Level 2 Level 3 Level 4 Level 5

1
$10\%$ of a number is $7$ . What is the number?
Level 1 · 1 markTry it
2
$25\%$ of a bag of sweets is $8$ sweets. How many sweets are in the bag?
Level 1 · 1 markTry it
3
The price of a train ticket increased by $20\%$ .

The new price is £ $54$

Work out the original price. (3 marks)
Level 2 · 3 marksTry it
4
(a) The price of a coat including VAT at $20\%$ is £ $54$ . Work out the price before VAT. [2]

(b) A price is increased by $10\%$ three times in a row. Work out the overall percentage increase. [2]
Level 2 · 4 marksTry it
5
After a $10\%$ increase, a price is £ $55$ . What was the original price?
Level 2 · 2 marksTry it

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