Percentages as fractions

Mathematics · Ratio & Proportion · ages 11-13

Name ______________________ Date ____________

What is 25% as a decimal?
- 0.25
- 2.5
- 0.025
Fifteen of sixty marbles are red. What percentage are red? Type the number only.
Answer: ______________
Which fraction in simplest form equals 65%?
- 13/20
- 65/100
- 6/5
- 3/5
What is 50% written as a fraction in its simplest form?
- 1/2
- 1/4
- 1/5
Write 3/5 as a percentage. Type the number only.
Answer: ______________
In a class of 25 students, 20 walk to school. What percentage of the class walks to school? Type the number only.
Answer: ______________
Eighteen of thirty students are girls. What percentage of the class are girls? Type the number only.
Answer: ______________
A jacket's price falls from $80 to $60. What is the percentage decrease? Type the number only.
Answer: ______________
A recipe usually needs 250 g of flour. How many grams are needed for 125% of the usual amount?
Answer: ______________
A shop had 40 toys. 32 were sold. What percentage of the toys were sold?
- 80%
- 32%
- 40%

Answer key

For grown-ups. Fold this page away before handing over the rest.

0.25 · 25% is 25 hundredths, and two decimal places after the point gives 0.25.
25 · 15/60 simplifies to 1/4, which equals 25%.
13/20 · 65/100 simplifies to 13/20 by dividing both numbers by five.
1/2 · 50% is 50/100. Dividing the top and bottom by 50 gives 1/2.
60 · Multiply top and bottom by 20: 3/5 becomes 60/100, which is 60%.
80 · 20 out of 25 is 20/25. Multiply top and bottom by 4 to get 80/100, so that's 80%.
60 · 18/30 simplifies to 3/5, which equals 60%.
25 · The decrease is twenty dollars, one quarter of the original eighty dollars.
312.5 · Keep the usual 250 grams and add one quarter of it, 62.5 grams.
80% · 32/40 simplifies to 4/5. Multiply both numbers by 20 to get 80/100, or 80%.