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Count up in Fractions
1⁄4,  1⁄2,  3⁄4... what comes next in this sequence?

Count up in Fractions

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 are next in this sequence?
21⁄4, 21⁄2, 23⁄4
3, 31⁄2
33⁄4, 4
24⁄4, 3
3, 31⁄4
Adding a quarter to 23?4 makes 3, and then adding another quarter makes 31?4
2 .
Which two numbers are missing:
51⁄2, ___, 61⁄2, ___
6 and 7
5 and 6
7 and 8
6 and 9
The sequence is going up in halves
3 .
Which two numbers come next in this sequence?
41⁄2, 5, 51⁄2, 6
52⁄2, 6
61⁄2, 7
6, 7
61⁄4, 7
The sequence is going up by 1?2 each time
4 .
Which three numbers come next?
31⁄2, 33⁄4, 4
4, 5, 6
43⁄4, 5, 53⁄4
42⁄4, 43⁄4, 4 4⁄4
41⁄4, 41⁄2, 43⁄4
The numbers are one quarter more each time
5 .
What is happening in this sequence:
21⁄4, 22⁄4, 23⁄4, 3
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
6 .
What comes next: 1, 11⁄2, 2, 21⁄2
2
31⁄2
3
22⁄2
Adding another half to 21?2 results in 3
7 .
Which two numbers are missing:
3, ___, 31⁄2, 33⁄4, 4, ___
32⁄4 and 41⁄2
31⁄4 and 4
41⁄4 and 51⁄4
31⁄4 and 41⁄4
Each number is one quarter more than the one before it
8 .
What comes next: 2⁄4, 3⁄4, 1
4⁄4
11⁄4
2 1⁄4
1 3⁄4
Counting up in quarters means that after 1, it will be 1 + 1?4 more
9 .
What are the next three numbers in this sequence?
7, 71⁄4, 71⁄2
73⁄4, 74⁄4, 75⁄4
73⁄4, 8, 81⁄4
7, 81⁄2, 9
74⁄4, 8, 9
The sequence is going up by a quarter each time. 71?2 is the same as 72?4
10 .
What is wrong with this sequence:
31⁄4, 32⁄4, 31⁄2, 33⁄4
33⁄4 is too large for the sequence
31⁄4 is in the wrong place
32⁄4 is the same as 31⁄2
There aren't enough numbers in the sequence
32?4has exactly the same value as 31?2 so shouldn't be there!
Author:  Angela Smith (Primary School Teacher & KS1 Quiz Writer)

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