11 Plus Fraction Practice Papers

11 Plus Fraction Practice Papers

Fraction

Fractions are considered as representing a part of a whole quantity. Fractions are usually represented in the form of a/b where a, b are ≠ 0. The terminologies of fractions are generally used while dividing a thing into smaller parts, like sharing a pizza among friends etc.

The pizza shown in the above picture has been divided into eight pieces. When the pizza is considered as a whole, then each part is given by 1/8, which is a fraction.

A fraction consists of 2 parts they are Numerator and Denominator.

Types of fractions:

Generally, fractions can be divided into three types they are

• Proper Fractions
• Improper fractions
• Mixed Fractions

The fractions in which denominator is greater than the numerator then such fractions are considered as the Proper Fractions. Examples are ½, ¼, ¾, etc.

The fractions in which denominator is greater than the numerator then such fractions are considered as the Improper Fractions. Examples are 11/4, 5/2, 10/7 etc.

The other form of representing an improper fraction is in terms of Mixed Fractions. It is a combination of a whole number and a proper fraction. Examples are 3 ½, 5 ¼, 7 ¾, etc.

Some important facts about fractions are

• The fractions with the same denominator are said to be Like Fractions else they are said as, Unlike Fractions.
• A fraction in which numerator and denominator are equal, then its value will be equal to One. Eg 2/2 = 1.
• A fraction in which the numerator = 0, then the value of the fraction will be Zero. Eg 0/100 = 0.
• A fraction in which denominator = 0, then the fraction is said to be undefined.

Example: Jason brings a cake and cuts it into 6 equal parts and distributes among his friend, what fraction does each friend get?

Sol: No. of pieces = 6, then each one will be getting 1/6 part of the cake.

Arithmetic operations on fractions

In order to perform addition or subtraction, we need to check if the fractions have the same denominator or not. We will know about them in detail through some interesting and easy examples.

Consider two fractions, a/b and c/b, then their sum will be (a + c)/b, similarly in subtraction also, it will be (a-c)/b. Here denominators of both the fractions are equal.

Now Consider two fractions, a/b and c/d then, to find their sum or difference we must make their denominators equal. For this we must find the LCM of the denominators and based on it we must make the fractions like or we follow another method, in which the fractions are represented as (ad/bd), (bc/bd) and perform the addition or subtraction.

Example: Add 1/2 and 2/3?

Sol: First convert them into like fractions. 1/2 can be written as (1×3) / (2×3) = 3/6, similarly, 2/3 can be written as 2/6. Now we can add both the fractions,

3/6 + 2/6 = 5/6

For multiplication it is very easy, just multiply the numerators and denominators separately. For division just reciprocate the 2nd fraction and multiply.

Multiplication of a / b & c / d = (a x b) / (c x d)

Division of a / b & c / d = (a x d) / (b x c)

Example: Multiply 1/4 and 2/3?

Sol: It is very easy just to multiply numerators and denominators separately.

1/4 x 2/3 = (1 x 2) / (4 x 3) = 2 / 12.

11 plus fractions topic is very important as it will be used in the calculation of percentages and decimals and many other 11 plus maths practice tests. You can access 11 plus maths practice tests on different topics here:

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The test papers cover different question types, which will help every child clear the entrance exams like CEM, CSSE, GL Assessment, Independent Schools conducted by different grammar schools, Independent schools and other private schools. To meet the entrance exams’ expectation, we have prepared practice test papers on different levels like Easy, Medium and High. By practising the exam papers on these different levels, children can identify their strengths and weaknesses in 11 Plus Maths papers. 11PluseHelp.co.uk has many Eleven Plus Exam practice tests which help children to focus and improve their skills in all subjects.

Try out these examples without sneak peeking at the answers:

Example:1

Example:2

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There are many 11 Plus Practice papers for entrance exams, Independent school papers and more for the 11 tests. Ranging from 10 to 25 minutes, our multiple-choice and fill-up question types are ideal for Maths revision. These are similar to Medway test practice papers and Bond Online 11 Plus Practice Papers.

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