Percentage of an amount

The Maths Habit

Three phones. Which one will last the longest?

A30%B70% ✓ longestC50%

Share the sweets equally into 10 bags. How many go in each bag?

40 sweets
10 bags
4044444444444 in each
70 sweets
10 bags
7077777777777 in each
100 sweets
10 bags
1001010101010101010101010 in each

Percent (%)
Out of 100.
%
The whole
All of the amount. The whole is 100%.
10%
One of ten equal parts of the whole.

100% = amount10%10%10%10%10%10%10%10%10%10%
amount÷10=10%
  1. 1Cut the bar into 10.The whole bar is 100%.
  2. 2Divide by 10.This is 10%. It goes in each part.

Work out 10% of 50.

1Cut the bar into 10.
100% = 505555555555
2Divide by 10.
50÷10=510%

Work out 10% of 30.

1Cut the bar into 10.
100% = 303333333333
2Divide by 10.
30÷10=310%

Work out 10% of 50.

1Cut the bar into 10.
100% = 505555555555
2Divide by 10.
50÷10=510%
1100% = amount2amount÷10=10%

Work out 10% of 80.

1Cut the bar into 10.
100% = 808888888888
2Divide by 10.
80÷10=810%

Work out 10% of 50.

1Cut the bar into 10.
100% = 505555555555
2Divide by 10.
50÷10=510%
1100% = amount2amount÷10=10%

Work out 10% of 20.

1Cut the bar into 10.
100% = 202222222222
2Divide by 10.
20÷10=210%

Work out 10% of 50.

1Cut the bar into 10.
100% = 505555555555
2Divide by 10.
50÷10=510%
1100% = amount2amount÷10=10%

A book has 90 pages. Ali reads 10% of the pages. How many pages does he read?

1Cut the bar into 10.
100% = 909999999999
2Divide by 10.
90÷10=910%

1100% = amount2amount÷10=10%

1Work out 10% of 70.

1Cut the bar into 10.
100% = 707777777777
2Divide by 10.
70÷10=710%

2Work out 10% of 40.

1Cut the bar into 10.
100% = 404444444444
2Divide by 10.
40÷10=410%

3Work out 10% of 100.

1Cut the bar into 10.
100% = 10010101010101010101010
2Divide by 10.
100÷10=1010%

4Work out 10% of 60.

1Cut the bar into 10.
100% = 606666666666
2Divide by 10.
60÷10=610%

Each part is 10%. What percentage of each bar is shaded?

30%
70%
50%

100% = amount10%10%10%10%10%10%10%10%10%10%
amount÷10=10%
10%×parts=answer
  1. 1Cut the bar into 10.The whole bar is 100%.
  2. 2Divide by 10.This is 10%. It goes in each part.
  3. 3Multiply by the parts.Shade the parts you need. This is the answer.

Work out 30% of 60.

1Cut the bar into 10.
100% = 606666666666
2Divide by 10.
60÷10=610%
3Multiply by the parts.
610%×3parts=1830%

Work out 20% of 40.

1Cut the bar into 10.
100% = 404444444444
2Divide by 10.
40÷10=410%
3Multiply by the parts.
410%×2parts=820%

Work out 30% of 60.

1Cut the bar into 10.
100% = 606666666666
2Divide by 10.
60÷10=610%
3Multiply by the parts.
610%×3parts=1830%
1100% = amount2amount÷10=10%310%×parts=answer

Work out 40% of 50.

1Cut the bar into 10.
100% = 505555555555
2Divide by 10.
50÷10=510%
3Multiply by the parts.
510%×4parts=2040%

Work out 30% of 60.

1Cut the bar into 10.
100% = 606666666666
2Divide by 10.
60÷10=610%
3Multiply by the parts.
610%×3parts=1830%
1100% = amount2amount÷10=10%310%×parts=answer

Work out 70% of 20.

1Cut the bar into 10.
100% = 202222222222
2Divide by 10.
20÷10=210%
3Multiply by the parts.
210%×7parts=1470%

Work out 30% of 60.

1Cut the bar into 10.
100% = 606666666666
2Divide by 10.
60÷10=610%
3Multiply by the parts.
610%×3parts=1830%
1100% = amount2amount÷10=10%310%×parts=answer

A farm has 40 cows. 60% of the cows are brown. How many cows are brown?

1Cut the bar into 10.
100% = 404444444444
2Divide by 10.
40÷10=410%
3Multiply by the parts.
410%×6parts=2460%

Percentage of an amount worksheet, page 1

Percentage of an amount worksheet, page 2

Answer sheet

Is it right?
Thumbs up: right. Thumbs down: wrong.

  1. 10% of 60 is 6

    Right
  2. 30% of 60 is 6

    Wrong: that is 10%
  3. 20% of 50 is 10

    Right
  4. 30% of 90 is 3

    Wrong: divide by 10, not 30
  5. 50% of 40 is 20

    Right

  1. Work out 5% of 60. Hint: 5% is half of 10%.

    3
  2. Work out 15% of 80.

    12 (10% is 8, 5% is 4)
  3. Work out 25% of £40.

    £10

  1. Work out 30% of 50.

    15
    1Cut the barinto 10.100% = 502Divideby 10.10÷=3Multiply bythe parts.×=
  2. Work out 70% of 40.

    28
    1Cut the barinto 10.100% = 402Divideby 10.10÷=3Multiply bythe parts.×=
  3. Work out 60% of 80.

    48
Exit tickets to print