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

Connect fractions, percentages, and decimals. Convert between them, compare values, and use them to solve everyday problems with money, measurements, and probability.

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Fascinating Fact:

In sports, fractions, percentages, and decimals are used to record success rates and accuracy, such as a footballer scoring in 75 percent of games.

In KS3 Maths, you link three number forms that show the same value in different ways. You will convert between fractions, percentages, and decimals, compare quantities, and solve questions about money, measures, and probability with clear methods.

Key Terms

  • Fraction: A number written as a/b, showing parts of a whole.
  • Percentage: A fraction out of 100, written with the percent symbol %, for example 27%.
  • Decimal: A number written using a decimal point, such as 0.4 or 2.75.

Frequently Asked Questions (Click to see answers)

How do I convert a fraction to a percentage?

Divide the numerator by the denominator, then multiply by 100%. Example: 3/8 = 0.375, so 0.375 × 100% = 37.5%.

What is 15% as a fraction and as a decimal?

15% means 15 out of 100, so 15% = 15/100 = 3/20. As a decimal it is 0.15.

How do I find 35% of a number like 80?

Change 35% to a decimal and multiply: 35% = 0.35, so 0.35 × 80 = 28. You can also use 35/100 × 80 = 28.

Try These Related Quizzes

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
[ ] 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

You can find more about this topic by visiting BBC Bitesize - Fractions

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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
[ ] 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
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