Robinson Tuition
Grade 4 · Foundation and Higher · free GCSE maths worksheet

Percentage increase and decrease

Using multipliers such as 1.15 and 0.8.

13 original questions, 41 marks. Print the worksheet, mark it with the answers sheet, and use the solutions to see every step written out by hand.

Worksheet PDFWorked solutions PDFAnswers PDF

The questions

1

A pair of trainers costs £60.

In a sale the price is decreased by 20%.

Work out the sale price. You may use the multiplier 0.8

2 marks
Show answer
£48
2

The value of a van is multiplied by 0.88 each year.

Write down the percentage decrease in the value of the van each year.

1 mark
Show answer
12%
3

A coat was £80. In a sale its price is £68.

Work out the percentage reduction in the price.

3 marks
Show answer
15%
4

Dan says, "The multiplier for an 8% increase is 0.08."

Dan is wrong.

  1. Write down the correct multiplier for an 8% increase.
  2. Write down the multiplier for an 8% decrease.
2 marks
Show answer
a) 1.08 b) 0.92
5

Last year a rail season ticket cost £640.

This year the same season ticket costs £688.

Work out the percentage increase in the cost of the season ticket.

3 marks
Show answer
7.5%
6

A park had 250 visitors in May and 310 visitors in June.

Work out the percentage increase in the number of visitors.

3 marks
Show answer
24%
7

Ben's rent is £240 each week.

His rent is increased by 35%.

Work out Ben's new weekly rent.

3 marks
Show answer
£324
8

Jo says, "A reduction of 20% followed by a further reduction of 10% is the same as a single reduction of 30%."

Is Jo correct? You must show your working.

3 marks
Show answer
No - it is a single reduction of 28%
9

The population of a village is 5000.

It increases by 10% in one year. The next year it decreases by 10%.

Gina says the population is now back to 5000. Is she right? Show how you decide.

3 marks
Show answer
No - it is 4950
10

Ben's monthly electricity bill was £96. It went up by 15%.

Ben's monthly broadband bill was £30. It went up by 40%.

Ben says, "My broadband bill went up by more money than my electricity bill."

Is Ben correct? You must show your working.

4 marks
Show answer
No - electricity went up by £14.40 but broadband only went up by £12
11

The membership of running club A increased from 1500 to 1725.

The membership of running club B increased from 2400 to 2700.

Cam says, "Club B had the greater percentage increase because its membership went up by more people."

Show that Cam is wrong.

4 marks
Show answer
Club A: 2251500 = 15%; club B: 3002400 = 12.5%; 15% > 12.5% so club A had the greater percentage increase
12

A jacket costs £220.

In a sale the price is reduced by 14. At the end of the sale the new price is then reduced by a further 20%.

Mia has £130.

Does she have enough money to buy the jacket at the final price? You must show your working.

4 marks
Show answer
No - the final price is £132
13

A shop's takings in 2025 were 15% less than its takings in 2024

The shop's takings in 2025 were £61,200

  1. Work out the shop's takings in 2024
  2. In 2024, the manager was paid a bonus of 2.5% of the 2024 takings.

    Work out the manager's bonus for 2024

6 marks
Show answer
a) £72,000 b) £1,800

Every question here is original and written by Robinson Tuition. The grade follows the Edexcel grade descriptors and suits AQA and OCR too; this is not an exam-board paper.

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