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Fractions (Very Easy)
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Fractions (Very Easy)

Fractions show how we divide things into equal parts. This 11 Plus Maths quiz introduces the basics, using fun and simple examples from everyday life.

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Fascinating Fact:

One quarter of Earth is covered by land and three quarters by water, proving we live on a mostly soggy planet.

In 11 Plus Maths, fractions help pupils understand how to divide things evenly. They’re used to share food, measure quantities, and describe proportions in science and geography.

  • Fraction: A number that shows part of a whole, written as one number over another, like ½.
  • Numerator: The top number of a fraction that tells how many parts are counted.
  • Denominator: The bottom number of a fraction that shows how many equal parts make up the whole.
What is a fraction?

A fraction shows part of a whole. For example, ½ means one piece out of two equal parts.

How do you read a fraction?

The top number (numerator) shows how many parts you have, and the bottom number (denominator) shows how many equal parts there are in total.

Why are fractions important in maths?

Fractions help us share things fairly, measure accurately, and understand percentages and decimals later in learning.

1 .
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
2 .
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
3 .
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
4 .
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
5 .
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!
6 .
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
7 .
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
8 .
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
9 .
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
10 .
Peter's granny wanted to see if he understood his fractions. She asked him if he wanted 3⁄5 or 6⁄10 of the sweets. What did Peter say?
He said that he wanted 3⁄5 of the sweets
He said that it didn't matter what fraction of the sweets he took because the fractions were the same
He said that he wanted 6⁄10 of the sweets
He said that he wanted 3⁄5 of the sweets 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
Author:  Frank Evans (Specialist 11 Plus Teacher and Tutor)
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