Percentage increase and decrease (percentage method)
Fractions and percentages as operators
Percentage increase and decrease (percentage method)
14 self-marking GCSE practice questions on Percentage increase and decrease (percentage method), written specifically for AQA, Pearson, OCR across Foundation and Higher tier. Instant marking with full worked solutions on every question.
Sample Percentage increase and decrease (percentage method) questions
A few of the 14 questions, from easier to harder. Choose your exam board and tier to practise them, with every answer marked.
Question 12 marksGrade 4-5
Zara's weekly pay is £220. It is going to increase by 20%. Work out Zara's new weekly pay.
Show the worked solution
Find 20% of £220: 10020×220=44
What are the common mistakes in Percentage increase and decrease (percentage method)?
When a pupil makes one of these on Revision Workshop, the marking engine names the mistake and explains it, instead of just marking the answer wrong.
Gives an intermediate value (e.g. before the final division/simplification) as the final answer
Found 10% of £130 (£13) but treated that as the final answer, instead of subtracting it from the original amount
Adds the two percentage changes together
Combined the two fractional changes by SUBTRACTING them (51−41
Quick answers about Percentage increase and decrease (percentage method)
How many Percentage increase and decrease (percentage method) practice questions are there?
There are 14 self-marking GCSE Maths questions on Percentage increase and decrease (percentage method), written for AQA, Pearson, OCR across Foundation and Higher tier. Each one is marked instantly and has a full worked solution.
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M1
Add this to the original amount: 220+44=264A1
Question 22 marksGrade 4-5
Tessa's weekly pay is £130. It is going to decrease by 10%. Work out Tessa's new weekly pay.
Show the worked solution
Find 10% of £130: 10010×130=13M1
Subtract this from the original amount: 130−13=117A1
Question 33 marksGrade 4-5
Dev's phone costs £80. The price increases by 10%, and then the new price decreases by 10%.
Work out the final price.
Question 44 marksGrade 5-6
Priya has 14 dresses. 50% of these dresses are red.
She gives 5 of her red dresses to a charity shop. She then buys 1 new red dress.
What percentage of the dresses she has now are red?
Question 53 marksGrade 7-8
A shopkeeper compares the income from sales of a laptop in March and April.
In April, the price was 51 more than in March.
In April, the number sold was 41 less than in March.
By what fraction does the income from these sales decrease in April?
Question 64 marksGrade 8-9
A company sells 1000 g boxes of washing powder for £5.00 (£5.00 per kg).
The company wants to increase the amount of money it receives per KG of powder. To get the same increase as raising the price to £5.50 (keeping the mass at 1000 g), it could instead keep the price at £5.00 and reduce the mass of powder in the box by x%.
Work out the value of x, correct to 2 decimal places.
) instead of MULTIPLYING the price and quantity factors together - combined percentage/fraction changes on a PRODUCT (income = price × quantity) always multiply, not add or subtract.
Assumes opposite percentage changes cancel
A 10% increase followed by a 10% decrease does NOT return to the original price, because the second percentage is applied to the NEW (already-changed) amount, not the original