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
[ ] 0.80
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
[ ] 525
[ ] 514
[ ] 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
[ ] 0.80
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
[ ] 525
[x] 514
[ ] 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