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Maths Quiz - Level 5-6 Numbers - Fractions - Multiplication and Division (Questions)

Fractions and money link to everyday life. Whether splitting a bill or sharing a prize, multiplying and dividing fractions helps make fair, accurate calculations.

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Fascinating Fact:

Finding fractions of money is easy with multiplication, 3/5 of £25 is 3/5 x 25 = £15.

In KS3 Maths, students practise multiplying and dividing fractions to solve real-world problems. Understanding how fractions work with money and measurements builds strong numerical reasoning.

Key Terms

  • Numerator: The top number in a fraction showing how many parts are considered.
  • Denominator: The bottom number showing how many equal parts make a whole.
  • Reciprocal: The flipped version of a fraction, used when dividing fractions.

Frequently Asked Questions (Click to see answers)

How do you multiply fractions in KS3 Maths?

Multiply the numerators together and the denominators together. For example, 2/3 x 3/4 = 6/12, which simplifies to 1/2.

How do you divide fractions?

Flip the second fraction (find its reciprocal) and multiply. For example, 2/3 ÷ 3/4 becomes 2/3 x 4/3 = 8/9.

Why are multiplying and dividing fractions important?

These skills help with splitting costs, scaling recipes, resizing drawings, and converting units. They build number fluency and problem-solving confidence.

Try These Related Quizzes

1. What is 1/9 x 3/5?
[ ] 1/12
[ ] 1/14
[ ] 1/15
[ ] 1/18
2. 14,000 fans attended the football match yesterday. 6/7 of them wore scarves. How many were without scarves?
[ ] 2,000
[ ] 4,000
[ ] 8,000
[ ] 10,000
3. What is 3⁄10 ÷ 6⁄25?
[ ] 1
[ ] 11⁄4
[ ] 11⁄2
[ ] 13⁄4
4. What is 3/8 of £48.00?
[ ] £6.00
[ ] £10.00
[ ] £14.00
[ ] £18.00
5. In a jar of 120 sweets, one in every six sweets is orange flavoured. If half the orange sweets are eaten, what fraction of the sweets is left?
[ ] 5⁄6
[ ] 3⁄4
[ ] 11⁄12
[ ] 9⁄10
6. What is 9⁄14 ÷ 11⁄2?
[ ] 1/7
[ ] 2/7
[ ] 3/7
[ ] 5/7
7. A piece of copper wire is 72⁄3m long. What is the total length of three of these wires?
[ ] 223⁄8
[ ] 23
[ ] 241⁄3
[ ] 26
8. What is 21⁄4 x 21⁄5?
[ ] 23⁄10
[ ] 35⁄10
[ ] 419⁄20
[ ] 51⁄2
9. Daniel is making pancakes. Each pancake uses 1⁄8 of a litre of batter. How much batter is used if Daniel makes 20 pancakes?
[ ] 21⁄2 litres
[ ] 23⁄4 litres
[ ] 31⁄3 litres
[ ] 41⁄3 litres
10. What is 23⁄4 ÷ 41⁄8?
[ ] 1/3
[ ] 1/2
[ ] 2/3
[ ] 3/4

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

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Maths Quiz - Level 5-6 Numbers - Fractions - Multiplication and Division (Answers)
1. What is 1/9 x 3/5?
[ ] 1/12
[ ] 1/14
[x] 1/15
[ ] 1/18
1 x 3 = 3 and 9 x 5 = 45 so we get the answer 3/45 or 1/15
2. 14,000 fans attended the football match yesterday. 6/7 of them wore scarves. How many were without scarves?
[x] 2,000
[ ] 4,000
[ ] 8,000
[ ] 10,000
6/7 of 14,000 = 12,000, therefore 2,000 were without scarves
3. What is 3⁄10 ÷ 6⁄25?
[ ] 1
[x] 11⁄4
[ ] 11⁄2
[ ] 13⁄4
To divide by a fraction, invert and multiply: 3/10 ÷ 6/25 = 3/10 x 25/6. Use this method whenever you have to divide by fractions
4. What is 3/8 of £48.00?
[ ] £6.00
[ ] £10.00
[ ] £14.00
[x] £18.00
Rewrite the question as 3/8 x 48. 48 / 8 = 6, 6 x 3 = 18, therefore the answer is £18.00
5. In a jar of 120 sweets, one in every six sweets is orange flavoured. If half the orange sweets are eaten, what fraction of the sweets is left?
[ ] 5⁄6
[ ] 3⁄4
[x] 11⁄12
[ ] 9⁄10
1?6 of 120 is 20, so 10 are eaten, leaving 110. 110?120 = 11?12
6. What is 9⁄14 ÷ 11⁄2?
[ ] 1/7
[ ] 2/7
[x] 3/7
[ ] 5/7
To divide by a fraction, invert and multiply
7. A piece of copper wire is 72⁄3m long. What is the total length of three of these wires?
[ ] 223⁄8
[x] 23
[ ] 241⁄3
[ ] 26
3 x 7 = 21 and 3 x 2/3 = 6/3 or 2 then add these two numbers together
8. What is 21⁄4 x 21⁄5?
[ ] 23⁄10
[ ] 35⁄10
[x] 419⁄20
[ ] 51⁄2
21?4 becomes 9?4 which we multiply by 21?5 or 11?5 to get 99?20 or 419?20
9. Daniel is making pancakes. Each pancake uses 1⁄8 of a litre of batter. How much batter is used if Daniel makes 20 pancakes?
[x] 21⁄2 litres
[ ] 23⁄4 litres
[ ] 31⁄3 litres
[ ] 41⁄3 litres
I'll have lemon and sugar on mine please!
10. What is 23⁄4 ÷ 41⁄8?
[ ] 1/3
[ ] 1/2
[x] 2/3
[ ] 3/4
Remember to invert the second fraction and change the divide sign to multiply
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