Robinson Tuition
Year 7 · Key Stage 3 · free KS3 maths worksheet

Percentages of amounts

11 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.

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The questions

1

The grid is made of 100 equal squares. Some of the squares are shaded.

  1. What percentage of the grid is shaded?
  2. What percentage of the grid is not shaded?
  3. Write the shaded part of the grid as a decimal.
3 marks
Show answer
a) 37% b) 63% c) 0.37
2

Write down 50% of £86

1 mark
Show answer
£43
3

Do not use a calculator.

  1. Copy and complete for £240.
    50% of £240 =
    25% of £240 =
    10% of £240 =
    5% of £240 =
    1% of £240 =
  2. Use your answers to work out 36% of £240
4 marks
Show answer
a) £120, £60, £24, £12, £2.40 b) £86.40
4

Work out 15% of £60

2 marks
Show answer
£9
5

Write down the single decimal number you multiply by to

  1. find 30% of an amount
  2. increase an amount by 20%
  3. decrease an amount by 15%
  1. The price of a bus pass is multiplied by 1.04. Describe the percentage change in the price.
4 marks
Show answer
a) 0.3 b) 1.2 c) 0.85 d) increase of 4%
6

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%
7

A bottle contains 850 ml of juice.

34% of the juice is orange juice.

Work out how many millilitres of orange juice are in the bottle.

2 marks
Show answer
289 ml
8

Do not use a calculator.

  1. A football club season ticket costs £180. Next season the price will increase by 5%. Work out the new price.
  2. A pair of trainers costs £64. In a sale the price is reduced by 25%. Work out the sale price.
4 marks
Show answer
a) £189 b) £48
9

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
10

You may use a calculator.

  1. A normal bag of popcorn holds 150 g. A special offer bag holds 12% extra. How many grams does the special offer bag hold?
  2. A tablet costs £385. In a sale the price is reduced by 17%. Work out the sale price.
4 marks
Show answer
a) 168 g b) £319.55
11

A computer game costs £40 in two shops.

  • Shop A: 15% off
  • Shop B: £5 off, then a further 5% off the new price

In which shop is the game cheaper, and by how much?

You must show your working. Do not use a calculator.

4 marks
Show answer
Shop B, by 75p (A: £34, B: £33.25)

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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