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Maths Quiz - Level 3-4 Numbers - Fractions - Simplification (Questions)

Let's chat about fractions - they're a big deal in KS3 Maths! Fractions have different ways of being written. For example, ten twentieths can be 10⁄20, but guess what? It's the same as 2⁄4 or 1⁄2. Changing fractions into simpler forms is called simplification.

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Simplification is like finding the best buddies in the top and bottom of a fraction. Take 10⁄20 - the highest common factor for 10 and 20 is 10. Divide both by 10, and bam, you get 1 and 2. So, 10⁄20 in its simplest form is 1⁄2. Remember to look for those best buddies, and you'll find simplification is a piece of cake!

Practice makes perfect! Play this quiz, and you'll be a fraction whiz by the end. Take your time, read each question carefully, and consider your answers. Oh, and don't forget those helpful comments after each question - they make things clearer!

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1. What is 30/40 as a fraction in its simplest form?
[ ] 1/2
[ ] 3/4
[ ] 30/40
[ ] 300/400
2. What is the biggest number you can divide into both the numerator and denominator of 30/40?
[ ] 3
[ ] 4
[ ] 10
[ ] There isn't one
3. How would you write 10/100 in its simplest form?
[ ] 1/10
[ ] 1/100
[ ] 100/10
[ ] 10/1
4. How would you write 33/66 in its simplest form?
[ ] 33/66
[ ] 3/6
[ ] 1/2
[ ] 3/4
5. What is the biggest number you can divide into both the numerator and denominator of 33/66?
[ ] 3
[ ] 6
[ ] 11
[ ] 33
6. What is the biggest number you can divide into both the numerator and denominator of 71/92?
[ ] 1/9
[ ] 7/9
[ ] 7/2
[ ] It's not possible
7. How would you write 9/81 in its lowest terms?
[ ] 1/9
[ ] 9/1
[ ] 9/8
[ ] It's not possible
8. What is the biggest number you can divide into both the numerator and denominator of 12/18?
[ ] 3
[ ] 6
[ ] 9
[ ] 12
9. How would you write 12/18 in its simplest form?
[ ] 1/3
[ ] 2/3
[ ] 3/4
[ ] 5/10
10. What is the simplest way of writing 1/2?
[ ] 1/4
[ ] 1/3
[ ] 1/2
[ ] 1/5

You can find more about this topic by visiting BBC Bitesize - How to simplify fractions

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Maths Quiz - Level 3-4 Numbers - Fractions - Simplification (Answers)
1. What is 30/40 as a fraction in its simplest form?
[ ] 1/2
[x] 3/4
[ ] 30/40
[ ] 300/400
The highest common factor of 30 and 40 is 10
2. What is the biggest number you can divide into both the numerator and denominator of 30/40?
[ ] 3
[ ] 4
[x] 10
[ ] There isn't one
Dividing 30 (the numerator) and 40 (the denominator) by 10 gives us 3/4
3. How would you write 10/100 in its simplest form?
[x] 1/10
[ ] 1/100
[ ] 100/10
[ ] 10/1
The common factor is 10
4. How would you write 33/66 in its simplest form?
[ ] 33/66
[ ] 3/6
[x] 1/2
[ ] 3/4
'Simplest form' is also known as 'lowest terms'
5. What is the biggest number you can divide into both the numerator and denominator of 33/66?
[ ] 3
[ ] 6
[ ] 11
[x] 33
Although both numbers are divisible by 11, it isn't the HIGHEST common factor
6. What is the biggest number you can divide into both the numerator and denominator of 71/92?
[ ] 1/9
[ ] 7/9
[ ] 7/2
[x] It's not possible
There is no common factor!
7. How would you write 9/81 in its lowest terms?
[x] 1/9
[ ] 9/1
[ ] 9/8
[ ] It's not possible
Both numbers are divisible by 9
8. What is the biggest number you can divide into both the numerator and denominator of 12/18?
[ ] 3
[x] 6
[ ] 9
[ ] 12
12 and 18 share a few factors - 1, 2, 3, 6 - but 6 is the highest
9. How would you write 12/18 in its simplest form?
[ ] 1/3
[x] 2/3
[ ] 3/4
[ ] 5/10
Divide 12 and 18 by 6 to find the answer
10. What is the simplest way of writing 1/2?
[ ] 1/4
[ ] 1/3
[x] 1/2
[ ] 1/5
1/2 is in its simplest form already!
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