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Venn Diagram Questions and Answers

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ISEB 11 Plus Maths 2008 Practice Paper Question 08

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ISEB 11 Plus Maths 2008 Practice Paper Question 07

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CSSE Familiarisation Maths paper Question 11

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Aldenham School - 11+ Maths Sample Paper 2019 Question 13, Numbers, Word Problems, Logical Problems, Statistics, Venn Diagram

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11 Plus Maths Independent Style Mock Test 2020 Question 18

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Numbers, Factors, Statistics, Venn Diagram

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Factors and Venn diagram

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Square Numbers, Multiples and Venn Diagrams

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Multiples and Venn diagram

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Polygons, Venn diagrams and Square

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Venn Diagrams

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Venn diagrams

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Venn Diagram

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Venn diagram

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At a birthday party, 12 children said they liked orange juice question

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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.

Quiz Questions
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11+ Maths Topics

  • Numbers (3,779)
  • Clock (2)
  • Recipes and Proportions (23)
  • Speed Distance Time (111)
  • Profit and loss (5)
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  • Train Timetables (22)
  • Algebra (1,051)
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  • Average (2)
  • Other (8)
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  • Logical Word Problems (8)
  • Composite Shapes (1)
  • Measurement (352)
  • Time (300)
  • Sorting Tree (2)
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  • Temperature (60)
  • Data Collection and Presentation (19)
  • Networks (12)
  • Shortest time (1)
  • Frequently Asked Questions
    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.

    How to prepare for the 11+ Maths exam?

    The best way to prepare for the 11+ Maths Exam is by practicing 11+ Maths topic-wise questions regularly.

    Can I cancel my subscription?

    Maths online subscriptions are “Non-Refundable“. No refunds can be issued for any reason. This is because of the nature of digital products.

    You should, therefore, make sure that the Maths online subscriptions fulfil your needs before you subscribe.

    As these are digital products, we advise parents to go through our Free Past Papers provided on our website and once decided they can buy subscriptions.

    Maths:
    11+ Sample Paper with answers - 1

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    What kind of questions are asked in the 11 Plus Maths exam?

    The majority of the 11 Plus Maths questions are mathematical problem-solving, where pupils need to understand and apply mathematical concepts. With regular practice of 11+ Maths Topic-wise questions, you will pass the 11-plus Maths Exam with a high score.

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

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

    • Number and place value.
    • Addition, subtraction, multiplication, and division.
    • Fractions, percentages, decimals.
    • Ratio and proportion.
    • Algebra.
    • Measurement.
    • Geometry (properties and position of shapes, coordinates)
    • Statistics.

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