Welcome to this, the second of our very easy Eleven Plus maths quizzes on fractions. These are not everybody’s favourite kind of numbers and many find decimals much simpler to work with. However, to do well at school you’ll need to find your way around fractions and these quizzes will give you plenty of opportunity to practice.

The bottom number in a fraction (the denominator) tells you the number of pieces a whole was divided into, and the top number (the numerator) tells us how many of these pieces the fraction represents. So, in ¾, imagine a cake cut into 4 pieces, and ¾ represents 3 of these pieces.

Like most things in maths, fractions may seem hard at first, but once you know how to deal with them, you’ll find them quite easy to control.

Are we feeling confident? Then let’s begin. Good luck!

1.

What does ^{11}⁄_{12} − ^{8}⁄_{12} equal?

2.

What does ^{9}⁄_{20} + ^{7}⁄_{20} equal?

If the denominators (bottom numbers) are the same, you can add by simply adding their numerators (top numbers). ^{9}⁄_{20} + ^{7}⁄_{20} = ^{16}⁄_{20} BUT this can be reduced to ^{4}⁄_{5} if you divide the denominator and the numerator by the SAME number, in this case 4

3.

There are 23 twenty-thirds in 1. If Jenny has spent ^{17}⁄_{23}, there can only be ^{6}⁄_{23} left because 17 + 6 = 23: if the denominators are the same, you can add/subtract the fractions by simply adding/subtracting their numerators

4.

Which one of the following fractions is the same as ^{4}⁄_{6}?

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

5.

Which of the following fractions is the largest?

6.

Michael had 160 football cards in his collection, but his brother sold a quarter of them. How many football cards has Michael got left?

40

60

80

120

Michael lost ^{1}⁄_{4} of 160. So, 160 ÷ 4 = 40. That means michael has 160 - 40 cards left: 120

7.

What is the value of this fraction: ^{17}⁄_{26}

Twenty-six seventeenths

Seventeen twenty-six

Seventeen twenty-sixths

Seventeen twenty-sixes

Numbers followed by th, st or rd (as in, fourth, first or third) are known as ordinal numbers. The denominators (bottom numbers) in fractions are almost always ordinal numbers

8.

Which one of the following fractions is NOT the same as ^{6}⁄_{7}

All the wrong answers can be reduced by dividing their numerators and denominators by the same number - 2 in ^{12}⁄_{14}, 3 in ^{18}⁄_{21} and 4 in ^{24}⁄_{28}

9.

What is 3 ÷ ^{1}⁄_{4}?

12

15

4 ^{1}⁄_{4}

To work out how many of a fraction are in a whole number, multiply that number by the denominator (bottom number). So, to divide 3 by ^{1}⁄_{4}, simply multiply 3 x 4 = 12

10.

Which one of the fractions below is the smallest?

The three wrong answers can be reduced to ^{1}⁄_{6} which is greater than ^{1}⁄_{9} because you are dividing the same numerator, 1 in this case, by a smaller number: 4 in this case

^{11}⁄_{12}−^{8}⁄_{12}=^{3}⁄_{12}BUT this can be reduced to^{1}⁄_{4}if you divide the denominator and the numerator by the SAME number, in this case 3