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Decimals · Usually met around P4

Starting percentages

50% a half, 25% a quarter, 10% a tenth.

How to do it

Method

50% a half, 25% a quarter, 10% a tenth

25% of 80 = 80 ÷ 4 = 20

Another way

Halve, then halve again

80 → 40 → 20

In full

A percentage (%) means so many out of every 100: 37% is 37 parts of 100, that is 37100 = 0.37. On a hundred square, 37 of the 100 squares shaded is 37% shaded; all 100 is 100%. Remember a few: 50% is a half, 25% a quarter, 10% a tenth. So 50% of 80 is 80 ÷ 2 = 40, 25% of 80 is 80 ÷ 4 = 20, and 10% of 80 is 80 ÷ 10 = 8. Another way: 25% is half of 50%, so halve, then halve again: 80 → 40 → 20.

Worked examples

Have a go first, then open each one for the answer and the working.

  1. Example 1

    16100 = □%

    Show the answer and working

    Answer: 16

    16 out of every 100 is 16%.

  2. Example 2

    50% of 24 is □.

    Show the answer and working

    Answer: 12

    50% is 12 of 24: 24 ÷ 2 = 12.

  3. Example 3

    The big square is cut into 100 equal squares. 83% of it is shaded.

    True or false?

    Show the answer and working

    Answer: False

    17 squares are shaded, 17%; the 83 unshaded are 83%.

Practise it in the game →Decimals · Free to start, unlimited questions, no download