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Maths Quiz - Year 2 Fractions - Equivalent Fractions (Questions)

Learn how different-looking fractions can mean the same amount. Spot equal parts, match them, and explain why they are equivalent using pictures and simple sharing.

Explore the Topic →
(quiz starts below)

Fascinating Fact:

Same size, same value. If two fractions cover the same amount, they are equivalent. 1/2 = 2/4.

In KS1 Maths, pupils use shapes, bars, and number lines to see that some fractions are equal. They compare how much is shaded or shared to prove two fractions match.

Key Terms

  • Fraction: A way to show equal parts of a whole, like 1/2 or 3/4.
  • Equivalent: Different fractions that are the same size, such as 1/2 and 2/4.
  • Whole: The complete amount before it is split into parts.

Practise first: try the Fractions Game before you start the quiz.

Frequently Asked Questions (Click to see answers)

What are equivalent fractions for Year 2?

Equivalent fractions are different fractions that are the same size. For example, 1/2 and 2/4 cover the same amount of a shape.

How can I show that 1/2 equals 2/4?

Shade half of a rectangle. Then split the same rectangle into four equal parts and shade two. The shaded area is the same, so 1/2 = 2/4.

How do children find equivalent fractions?

They compare pictures, bar models, or number lines to see if the shaded or marked parts match in size, even if the numbers look different.

Try These Related Quizzes

1. Which fraction is the same as 1⁄2?
[ ] 3⁄4
[ ] 1⁄4
[ ] 2⁄5
[ ] 2⁄4
2. Which pair of fractions have the same value?
[ ] 2⁄3 and 1⁄2
[ ] 1⁄4 and 2⁄4
[ ] 4⁄4 and 2⁄2
[ ] 1⁄3 and 2⁄4
3. Which is more: 1⁄2 of 6 or 3⁄4 of 8?
[ ] 3⁄4 of 8
[ ] 1⁄2 of 6
[ ] They are the same
[ ] 1⁄3 of 6
4. Which is more: 1⁄3 of 12 or 1⁄2 of 12?
[ ] They are the same
[ ] 1⁄3 of 12
[ ] 1⁄4 of 12
[ ] 1⁄2 of 12
5. Which is less: 1⁄4 of 12 or 3⁄4 of 16?
[ ] 3⁄4 of 16
[ ] 2⁄4 of 16
[ ] 1⁄4 of 12
[ ] 1⁄4 of 16
6. Which is less: 1⁄4 of 12 or 1⁄3 of 9?
[ ] They both give the same answer
[ ] 1⁄3 of 9
[ ] 1⁄4 of 12
[ ] 1⁄3 of 12
7. If I cut a cake into four equal slices and eat two of them, how much have I eaten?
[ ] A third of the cake
[ ] A quarter of the cake
[ ] Half of the cake
[ ] Three quarters of the cake
8. Jim and Harry both have 12 jelly beans. Jim eats 1⁄4 of his and Harry eats 1⁄3 of his. Who ate more jelly beans?
[ ] Jim
[ ] Harry
[ ] They ate the same
[ ] Neither
9. Kim ate 1⁄4 of a pizza and Fran also ate 1⁄4. What fraction of the pizza remains?
[ ] 1⁄4
[ ] 3⁄4
[ ] 1⁄3
[ ] 1⁄2
10. Jane is given £24 for her birthday. She spends half the money on toys, a quarter of the money on sweets and gives a quarter to charity. How much money does Jane have left?
[ ] £2
[ ] £0
[ ] £1
[ ] £4

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

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Maths Quiz - Year 2 Fractions - Equivalent Fractions (Answers)
1. Which fraction is the same as 1⁄2?
[ ] 3⁄4
[ ] 1⁄4
[ ] 2⁄5
[x] 2⁄4
There are four quarters in a whole, so two of them would be the same as a half
2. Which pair of fractions have the same value?
[ ] 2⁄3 and 1⁄2
[ ] 1⁄4 and 2⁄4
[x] 4⁄4 and 2⁄2
[ ] 1⁄3 and 2⁄4
Whenever the numerator and denominator are the same number, the fraction is equal to one whole
3. Which is more: 1⁄2 of 6 or 3⁄4 of 8?
[x] 3⁄4 of 8
[ ] 1⁄2 of 6
[ ] They are the same
[ ] 1⁄3 of 6
3?4 of 8 is 6, and 1?2 of 6 is 3
4. Which is more: 1⁄3 of 12 or 1⁄2 of 12?
[ ] They are the same
[ ] 1⁄3 of 12
[ ] 1⁄4 of 12
[x] 1⁄2 of 12
1?2 of 12 is 6 and 1?3 of 12 is 4
5. Which is less: 1⁄4 of 12 or 3⁄4 of 16?
[ ] 3⁄4 of 16
[ ] 2⁄4 of 16
[x] 1⁄4 of 12
[ ] 1⁄4 of 16
3?4 of 16 is 12, 1?4 of 12 is only 3
6. Which is less: 1⁄4 of 12 or 1⁄3 of 9?
[x] They both give the same answer
[ ] 1⁄3 of 9
[ ] 1⁄4 of 12
[ ] 1⁄3 of 12
1?3 of 9 is 3, and 1?4 of 12 is also 3
7. If I cut a cake into four equal slices and eat two of them, how much have I eaten?
[ ] A third of the cake
[ ] A quarter of the cake
[x] Half of the cake
[ ] Three quarters of the cake
Two quarters out of four is the same as one half
8. Jim and Harry both have 12 jelly beans. Jim eats 1⁄4 of his and Harry eats 1⁄3 of his. Who ate more jelly beans?
[ ] Jim
[x] Harry
[ ] They ate the same
[ ] Neither
1?4 of 12 is 3 and 1?3 of 12 is 4, so Harry ate one more than Jim
9. Kim ate 1⁄4 of a pizza and Fran also ate 1⁄4. What fraction of the pizza remains?
[ ] 1⁄4
[ ] 3⁄4
[ ] 1⁄3
[x] 1⁄2
There are four quarters in a whole. If two are eaten, two remain and this is the same as a half
10. Jane is given £24 for her birthday. She spends half the money on toys, a quarter of the money on sweets and gives a quarter to charity. How much money does Jane have left?
[ ] £2
[x] £0
[ ] £1
[ ] £4
A half added to a quarter and another quarter equals everything!
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