Many call for the need for knowledge and skills to make mathematics, science, or logic problems work. To answer this call RandomMath has been providing accelerated math education to empower children to excel and outperform in math competitions. This can be done through a Venn diagram template and it is very useful especially in math and logic problem solving which can help you determine whether a certain statement is true or false.  Venn diagram templates for math and logic problems are diagrams that consist of set-based shapes like circles and ellipses to show the group, universal or null sets.  It works well in dealing with math word problems.

Here are some tips on how to use Venn Diagram Templates For Math And Logic Problems:

·      Make a Venn diagram to solve complex problems

Many complex problems are very confusing, but if you make a Venn diagram for math and logic problems it would be easier for you to understand them. You can simply draw out their properties or group relationships one by one until you receive the answer. This is good especially for students with low comprehension ability because they can easily understand these mathematics concepts through this diagram.

·      Determine true or false statements with a Venn diagram maker

Using a Venn diagram maker can help you determine whether a certain statement is true or false. 

For instance: 

Which statement is always true? 

1) There exist an exact number n such that P(n) is true 

2) There exists an exact number n such that P(n) is false 

3) There exist numbers a and b such that a ≤ b and P(a) is true 

4) There exist numbers a and b such that a ≤ b and P(b) is true

The answer to the above question would be 2,3.  It can be seen by using the Venn diagram template.

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·      Determining relationship between sets

Venn diagram templates can help determine whether two different sets have any relation to each other. This will give you insight on how to deal with problems involving sets. For example, if you are given A={1,2}, B={2,3}and C ={4,5} you can simply find out their relationships by drawing it on a blank Venn diagram for math and logic problems. The possible relations are:

A is included in B

A is not included in B

B is included in A but not C

B is included in C but not A

C is included only in A (and not B)

C is included only in B (and not A)

·      Expanding sets with Venn diagram templates for math and logic problems

Venn Diagram Templates can also help you in expanding two or more sets. Let’s say that set A={1,2}and B={3,4}. This can be done by finding out the possibilities of numbers included in both sets and determining which is greater than the other and so on until the correct final result emerges. You can do this with the Venn diagram template. The possible expanded sets would be:

AB= {1 2 3 4}

AC= {2 3 4 5}

BC= {3 4 5 6}

ABC= {1 2 3 4 5 6}

BA= {1 3}

CA= {2 4}

AB is included in AC and ABC but not BC.

AB is included in BC but not AC or ABC.

BC is included both in AB and AC.  However, AB contains 1 while BC only includes 2.  Thus, AB is greater than BC.

AC is included both in AB and ABC but not BC.  Again, AB contains 1 while the other set only has 2 thus, once more, proving that AB is still greater than the others.

The above Venn diagram template for math and logic problems would help you determine which of these two sets are greater than the other by expanding it according to their arrangement on the diagram. Thus, the final results would be AB= {1 2 3 4}  and BC= {3 4 5 6}.

·      Determining whether a set is included in another set using Venn diagram templates for math and logic problems

You can also know if one set is included in the other by using the Venn diagram template. Let’s say that you are given A={4,5} and B={2,3,5}. 

Which statements about these sets are true? 

1) A has at least one element that is not in B. 

2) The null set (Ø)is contained in both A and B. 

3) Every number contained in B also exists in A.

The correct answer is 1. It can be seen by using the Venn diagram template.  This can be done by listing down all the elements in both sets and pointing out which of these are included only in one set but not the other.  A= {4,5} has 4 which is also present in B={2,3,5}.  However, B doesn’t have 5 while A contains it so it would mean that A is included in B but not vice versa. Thus statement number 1 is true.

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Takeaway

         These tips will help you solve complicated problems involving mathematics, science, and logic. A printable Venn diagram template for math and logic problems can be downloaded online at many websites that offer this service. Browse through Venn diagram templates on Venngage. You just have to search it the right way. When you download them, then all you have to do is print the diagram and use it to help you in your problem-solving. It can be very useful especially if you have limited time in solving math word problems.