Robinson Tuition
Year 8 · Key Stage 3 · free KS3 maths worksheet

Percentages and percentage change

12 original questions, 32 marks. Type your answers below for an instant mark and a score (algebra in any equivalent form, e.g. 2sqrt(3) or 2√3), or 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

Write down 50% of £86

1 mark
Show answer
£43
2

Work out

  1. 25% of £64
  2. 35% of 340 kg
3 marks
Show answer
a) £16 b) 119 kg
3

Work out 30% of 60% of £250

2 marks
Show answer
£45
4

Write down the decimal multiplier you would use to

  1. increase an amount by 15%
  2. decrease an amount by 8%
  3. increase an amount by 3.5%
3 marks
Show answer
a) 1.15 b) 0.92 c) 1.035
5

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%
6
  1. A games console costs £280. The price goes up by 12%. Use a multiplier to work out the new price.
  2. A winter coat costs £75. In a sale the price is reduced by 30%. Use a multiplier to work out the sale price.
3 marks
Show answer
a) £313.60 b) £52.50
7

Amira puts £1200 into a savings account. The account pays 3.5% simple interest per year.

Work out how much money is in the account after 5 years.

3 marks
Show answer
£1410
8

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
9

Ben buys a car for £16 000.

The value of the car depreciates by 15% each year.

Work out the value of the car at the end of 2 years.

2 marks
Show answer
£11560
10

A house is worth £240 000. Its value increases by 4% each year.

Work out the value of the house after 3 years. Give your answer to the nearest pound.

3 marks
Show answer
£269 967
11

Freya buys a motorbike for £7200.

Its value depreciates by 12% each year.

Show that the value of the motorbike at the end of 3 years is less than £5000.

3 marks
Show answer
7200 × 0.883 = £4906.60 (to the nearest penny), which is less than £5000
12

Leo has £5000 to save for 3 years.

Bank A pays 4% simple interest per year.
Bank B pays 3.8% compound interest per year.

Which bank gives Leo more money at the end of 3 years? You must show your working.

4 marks
Show answer
Bank A, by £8.07 (Bank A £5600, Bank B £5591.93)

Your score

Answer the questions above and your score appears here.

Every question here is original and written by Robinson Tuition. It follows the Key Stage 3 programme of study; Year 9 sheets end with extension questions for top sets.

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