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  3. Math: Elementary School: Grades 3, 4 and 5
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Fractions 5
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Fractions 5

This Math quiz is called 'Fractions 5' 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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A fraction is a number that is not a whole number. It is written as one number divided another number, e.g. ¾. The top number, 3, is called the numerator and the bottom number, 4, is called the denominator: the denominator can NEVER be zero.

Fractions are read as follows: ⅜ is read as 'three eighths'. The numerator is read as an ordinary counting number, BUT the denominator is read as an ordinal number: third(s), fourth(s), fifth(s) and so on.

1 .
In a battle, 1⁄10 of the general's army was destroyed. If he had 10,000 soldiers, how many soldiers were lost in the battle?
10,000
100
1,000
10
He lost 1⁄10 × 10,000 = 1,000 soldiers
2 .
How is 22⁄30 read?
twenty-second thirty
twenty-two thirties
twenty-second thirtieth
twenty-two thirtieths
If you don't know your ordinal numbers, learn them now! For example, 20th = twentieth, 30th = thirtieth, 40th = fortieth and so on
3 .
Which one of the fractions below is the biggest?
1⁄4
2⁄8
1⁄3
3⁄12
All the other fractions can be reduced to 1⁄4 which is smaller than 1⁄3 because you are dividing the same numerator, 1 in this case, by a smaller number: 3 in this case
4 .
What does 7⁄9 − 4⁄9 equal?
11⁄18
1⁄3
1⁄6
4⁄18
If the denominators are the same, you can subtract the fractions by simply subtracting their numerators - it really is as easy as that! You should get 3⁄9 BUT this can be reduced to 1⁄3 if you divide the denominator and the numerator by the SAME number, in this case 3
5 .
Which one of the following fractions is the same as six-eighths (6⁄8)?
2⁄4
1⁄4
3⁄4
3⁄8
If you divide the denominator and the numerator by the SAME number, you can reduce the fraction to its simplest form. In this case, you divide the denominator AND the numerator by 2
6 .
Which fraction lies between 2⁄6 and 4⁄6?
5⁄6
3⁄4
1⁄6
1⁄2
1⁄2 is the same as 3⁄6: multiply the numerator and denominator by 3
7 .
What does 3⁄8 + 2⁄8 equal?
5⁄16
5⁄8
3⁄16
3⁄16
If the denominators are the same, you can add the fractions by simply adding their numerators - it really is as easy as that!
8 .
If you eat 5⁄7 of a cake, how much cake will be left?
7⁄7
2⁄7
3⁄7
12⁄7
There are seven sevenths in 1. If you have eaten 5⁄7, there can only be 2⁄7 left because 5 + 2 = 7: if the denominators are the same, you can add/subtract the fractions by simply adding/subtracting their numerators
9 .
Peter's granny wanted to see if he understood his fractions. She asked him if he wanted 3⁄5 or 6⁄10 of the candies. What did Peter say?
He said that he wanted 3⁄5 of the candies
He said that it didn't matter what fraction of the candies he took because the fractions were the same
He said that he wanted 6⁄10 of the candies
He said that he wanted 3⁄5 of the candies because 3⁄5 was closer to a half than 6⁄10
The fractions are the same. If you divide the denominator and the numerator in 6⁄10 by 2, you will get 3⁄5. The same is true if you multiply the denominator and the numerator in 3⁄5 by 2, you will get 6⁄10
10 .
How many fifths (1⁄5) are there in 2?
10
5
20
2⁄5
There are five fifths in 1, so there are 5 × 2 = 10 fifths in 2. In general, the number in the denominator tells you how many fractions of that type are needed to make 1. For example, you need three thirds, 1⁄3, to make 1, but you need ten tenths, 1⁄10, to make 1 and so on. REMEMBER this stuff, and you won't get confused with fractions
Author:  Frank Evans (Specialist 11 Plus Teacher and Tutor)
Math: Elementary School: Grades 3, 4 and 5 Play this quiz again

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