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Understanding and Interpreting Venn Diagrams for the 11+ Exams

1. Venn Diagrams

A Venn Diagram shows the relationship between groups of different things in a visual way. These groups are known as sets. Using Venn diagrams allows us to sort data into two or three circles which overlap in the middle. Each circle follows a specific rule, so any numbers or objects placed in the overlapping part follow both rules. A typical Venn diagram looks like the picture below.

11+ Topicwise Venn Diagrams Article Image 01

Interpreting the Venn Diagrams

Case I. For two circles

11+ Topicwise Venn Diagrams Article Image 02

Total = Elements in A only + Elements in B only + Elements in A and B

Case II. 

For three circles

11+ Topicwise Venn Diagrams Article Image 03

Total = Only A + Only B + Only C + (A and B) + (B and C) + (A and C) + (A and B and C)

 

1.1. Examples on Venn Diagrams

Example: 

Out of 50 students, 15 are taking only Maths, and 18 are taking only the Science exam. 5 students take both exams. How many students take neither Maths nor Science exam?

11+ Topicwise Venn Diagrams Article Image 04

Solution:

11+ Topicwise Venn Diagrams Article Image 05

Number of Students choosing neither Maths nor Science = 50 -(15 + 5 + 18)

                                                                                  = 50 - 38

                                                                                  = 12

Example:

A survey has been conducted in a class regarding their favourite superhero. The results are represented in the form of a Venn diagram shown below. How many students like only Spiderman?

11+ Topicwise Venn Diagrams Article Image 06

Solution: From the Venn diagram:

11+ Topicwise Venn Diagrams Article Image 07

Number of students like only Spider man is 25 as shaded in the Venn diagram.

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    What is a good score in 11+ Maths ?

    What counts as a "good" score will vary depending on the school you want to attend. The standardized 11 Plus test score average across the country is roughly 100. The highest average in some areas is 111. The lowest scores would often fall between 60 and 70, while the highest scores would normally fall between 130 and 140. To achieve excellent marks on 11+ Maths Exams, practice 11+ Maths topic-wise questions.

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    What do you need to know for the 11 Plus Maths exam?

    The children must master the following topics for the 11 plus exams

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    • Addition, subtraction, multiplication, and division.
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