# KS3 Maths Quiz - Level 3-4 Numbers - Fractions, Percentages and Decimals (Questions)

In the field of maths, fractions, percentages and decimals represent the same thing - numbers less than 1. For KS3 Maths you should know the equivalences between fractions, decimals and percentages. All three types of numbers are used in day-to-day life and it's useful to be able to change from one to the other.

Any number can be written as a fraction, a percentage or a decimal. Let's look at a simple example: three quarters. As a fraction, the simplest way to write three quarters is as 34. Percentages write fractions as 100ths. One quarter of a hundred is 25 so three quarters as a percentage would be 25 x 3 = 75%. Decimals use tenths and hundredths. So, 75 hundredths (34) would be written as 0.75. It's all quite simple - once you've got the hang of it!

To help you understand how fractions work, take a look at the Fractions - Numerical Quantities article.

1. What is 3/4 written as a decimal?
 [ ] 0.25 [ ] 0.5 [ ] 0.75 [ ] 0.8
2. What is 3/4 written as a percentage?
 [ ] 10% [ ] 25% [ ] 50% [ ] 75%
3. How is 0.25 written as a fraction?
 [ ] 1/4 [ ] 1/3 [ ] 1/2 [ ] 2/3
4. How is 20% written as a fraction?
 [ ] 1/5 [ ] 1/4 [ ] 1/3 [ ] 1/2
5. How would you write 5.25 as a fraction?
 [ ] 1/5 [ ] 52⁄5 [ ] 51⁄4 [ ] 5%
6. How is 75% written as a decimal?
 [ ] 0.5 [ ] 0.7 [ ] 0.72 [ ] 0.75
7. How is 166% written as a decimal?
 [ ] 1 [ ] 1.6 [ ] 1.66 [ ] 1.67
8. What is 3/5 written as a percentage?
 [ ] 30% [ ] 60% [ ] 75% [ ] 90%
9. What is 3/5 written as a decimal?
 [ ] 0.3 [ ] 0.5 [ ] 0.6 [ ] 0.8
10. How would you write 0.9 as a fraction?
 [ ] 1/9 [ ] 3/9 [ ] 7/9 [ ] 9/10

KS3 Maths Quiz - Level 3-4 Numbers - Fractions, Percentages and Decimals (Answers)
1. What is 3/4 written as a decimal?
 [ ] 0.25 [ ] 0.5 [x] 0.75 [ ] 0.8
Three-quarters of 1 is 0.75
2. What is 3/4 written as a percentage?
 [ ] 10% [ ] 25% [ ] 50% [x] 75%
Three-quarters of 100 is 75
3. How is 0.25 written as a fraction?
 [x] 1/4 [ ] 1/3 [ ] 1/2 [ ] 2/3
0.25 is one-quarter of 1
4. How is 20% written as a fraction?
 [x] 1/5 [ ] 1/4 [ ] 1/3 [ ] 1/2
100 divided by 20 is 5 so 20% is the same as 1/5
5. How would you write 5.25 as a fraction?
 [ ] 1/5 [ ] 52⁄5 [x] 51⁄4 [ ] 5%
The 5 is a whole number - only the numbers after the decimal need to be made into a fraction
6. How is 75% written as a decimal?
 [ ] 0.5 [ ] 0.7 [ ] 0.72 [x] 0.75
To convert percentages to decimals simply move the digits two places to the right
7. How is 166% written as a decimal?
 [ ] 1 [ ] 1.6 [x] 1.66 [ ] 1.67
To convert percentages to decimals simply move the digits two places to the right
8. What is 3/5 written as a percentage?
 [ ] 30% [x] 60% [ ] 75% [ ] 90%
Three-fifths of 100 is 60
9. What is 3/5 written as a decimal?
 [ ] 0.3 [ ] 0.5 [x] 0.6 [ ] 0.8
In decimals 1/5 is 0.2 so multiply 0.2 by 3 for the answer
10. How would you write 0.9 as a fraction?
 [ ] 1/9 [ ] 3/9 [ ] 7/9 [x] 9/10
9 and 10 have only one common factor - 1, so 9/10 is the simplest way to write this fraction