*This Math quiz is called 'Count up in Fractions' and it has been written by teachers to help you if you are studying the subject at elementary school. Playing educational quizzes is an enjoyable way to learn if you are in the 3rd, 4th or 5th grade - aged 8 to 11.*

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Being able to count up in fractions means understanding the value of a fraction and recognizing how many of each makes a whole. For example, when counting up in quarters, it will take four steps to reach one whole and 40 to reach 10. Children are expected to be able to count up to ten in fractions and this quiz will help them.

Try this quiz to see how well you do with counting up in fractions.

1.

Which two numbers come next in this sequence?

4^{1}⁄_{2}, 5, 5^{1}⁄_{2}, 6

4

5^{2}⁄_{2}, 6

6^{1}⁄_{2}, 7

6, 7

6^{1}⁄_{4}, 7

2.

Which two numbers are next in this sequence?

2^{1}⁄_{4}, 2^{1}⁄_{2}, 2^{3}⁄_{4}

2

3, 3^{1}⁄_{2}

3^{3}⁄_{4}, 4

2^{4}⁄_{4}, 3

3, 3^{1}⁄_{4}

Adding a quarter to 2^{3}⁄_{4} makes 3, and then adding another quarter makes 3^{1}⁄_{4}

3.

What is wrong with this sequence:

3^{1}⁄_{4}, 3^{2}⁄_{4}, 3^{1}⁄_{2}, 3^{3}⁄_{4}

3

3^{3}⁄_{4} is too large for the sequence

3^{1}⁄_{4} is in the wrong place

3^{2}⁄_{4} is the same as 3^{1}⁄_{2}

There aren't enough numbers in the sequence

3^{2}⁄_{4}has exactly the same value as 3^{1}⁄_{2} so shouldn't be there!

4.

What are the next three numbers in this sequence?

7, 7^{1}⁄_{4}, 7^{1}⁄_{2}

7, 7

7^{3}⁄_{4}, 7^{4}⁄_{4}, 7^{5}⁄_{4}

7^{3}⁄_{4}, 8, 8^{1}⁄_{4}

7, 8^{1}⁄_{2}, 9

7^{4}⁄_{4}, 8, 9

The sequence is going up by a quarter each time. 7^{1}⁄_{2} is the same as 7^{2}⁄_{4}

5.

Which three numbers come next?

3^{1}⁄_{2}, 3^{3}⁄_{4}, 4

3

4, 5, 6

4^{3}⁄_{4}, 5, 5^{3}⁄_{4}

4^{2}⁄_{4}, 4^{3}⁄_{4}, 4 ^{4}⁄_{4}

4^{1}⁄_{4}, 4^{1}⁄_{2}, 4^{3}⁄_{4}

The numbers are one quarter more each time

6.

Which two numbers are missing:

3, ___, 3^{1}⁄_{2}, 3^{3}⁄_{4}, 4, ___

3, ___, 3

3^{2}⁄_{4} and 4^{1}⁄_{2}

3^{1}⁄_{4} and 4

4^{1}⁄_{4} and 5^{1}⁄_{4}

3^{1}⁄_{4} and 4^{1}⁄_{4}

Each number is one quarter more than the one before it

7.

Which two numbers are missing:

5^{1}⁄_{2}, ___, 6^{1}⁄_{2}, ___

5

6 and 7

5 and 6

7 and 8

6 and 9

The sequence is going up in halves

8.

What comes next: 1, 1^{1}⁄_{2}, 2, 2^{1}⁄_{2}

2

3^{1}⁄_{2}

3

2^{2}⁄_{2}

Adding another half to 2^{1}⁄_{2} results in 3

9.

What is happening in this sequence:

2^{1}⁄_{4}, 2^{2}⁄_{4}, 2^{3}⁄_{4}, 3

2

The numbers increase by ^{2}⁄_{4} each time

The numbers increase by ^{1}⁄_{2} each time

The numbers increase by ^{1}⁄_{3} each time

The numbers increase by ^{1}⁄_{4} each time

Each number is ^{1}⁄_{4} more than the one before it

10.

What comes next: ^{2}⁄_{4}, ^{3}⁄_{4}, 1

1^{1}⁄_{4}

2 ^{1}⁄_{4}

1 ^{3}⁄_{4}

Counting up in quarters means that after 1, it will be 1 + ^{1}⁄_{4} more

The next step is:

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^{1}⁄_{2}each time