problem solving using venn diagram grade 7 ppt

Introduction to Sets PowerPoint

https://drive.google.com/file/d/16obKRFE34kXhs8xia_uS42jEKFXOERwk/view

Introduction to Sets Video Tutorial

Definition, notation and properties of Sets

Representation of a set

Numerical Sets

Subsets and proper subsets

Super set, power set, empty/null set and universal set

Complement and cardinality of sets

Solving problems involving sets using venn diagram.

Solving Problems Involving Sets Using Venn Diagram Video Tutorial

What is venn diagram powerpoint.

What is Venn Diagram Video Tutorial

YouTube: https://youtu.be/qjHMKS3WuCQ

Union and Intersection

Solving Set Problems Using Venn Diagram Sample Problem 1

Solving Set Problems Using Venn Diagram Sample Problem 2

Solving Set Problems Using Venn Diagram Sample Problem 3

Concept of absolute value: simplified ppt.

Concept of Absolute Value Video Tutorial

Adding integers ppt.

Adding integers Video Tutorial

Subtracting integers ppt.

Subtracting integers Video Tutorial

Multiplication and division of integers ppt.

Multiplication and Division of Integers Video Tutorial

Conversions and operations, fraction to decimal ppt.

Fraction to Decimal Video Tutorial

Decimal to fraction ppt.

Decimal to Fraction Video Tutorial

Adding and subtracting fractions ppt.

Adding and Subtracting fractions Video Tutorial

Scientific notation ppt.

Scientific Notation Video Tutorial

Venn Diagram Word Problems

Related Pages Venn Diagrams Intersection Of Two Sets Intersection Of Three Sets More Lessons On Sets More GCSE/IGCSE Maths Lessons

In these lessons, we will learn how to solve word problems using Venn Diagrams that involve two sets or three sets. Examples and step-by-step solutions are included in the video lessons.

What Are Venn Diagrams?

Venn diagrams are the principal way of showing sets in a diagrammatic form. The method consists primarily of entering the elements of a set into a circle or ovals.

Before we look at word problems, see the following diagrams to recall how to use Venn Diagrams to represent Union, Intersection and Complement.

Venn Diagram

How To Solve Problems Using Venn Diagrams?

This video solves two problems using Venn Diagrams. One with two sets and one with three sets.

Problem 1: 150 college freshmen were interviewed. 85 were registered for a Math class, 70 were registered for an English class, 50 were registered for both Math and English.

a) How many signed up only for a Math Class? b) How many signed up only for an English Class? c) How many signed up for Math or English? d) How many signed up neither for Math nor English?

Problem 2: 100 students were interviewed. 28 took PE, 31 took BIO, 42 took ENG, 9 took PE and BIO, 10 took PE and ENG, 6 took BIO and ENG, 4 took all three subjects.

a) How many students took none of the three subjects? b) How many students took PE but not BIO or ENG? c) How many students took BIO and PE but not ENG?

How And When To Use Venn Diagrams To Solve Word Problems?

Problem: At a breakfast buffet, 93 people chose coffee and 47 people chose juice. 25 people chose both coffee and juice. If each person chose at least one of these beverages, how many people visited the buffet?

How To Use Venn Diagrams To Help Solve Counting Word Problems?

Problem: In a class of 30 students, 19 are studying French, 12 are studying Spanish and 7 are studying both French and Spanish. How many students are not taking any foreign languages?

Probability, Venn Diagrams And Conditional Probability

This video shows how to construct a simple Venn diagram and then calculate a simple conditional probability.

Problem: In a class, P(male)= 0.3, P(brown hair) = 0.5, P (male and brown hair) = 0.2 Find (i) P(female) (ii) P(male| brown hair) (iii) P(female| not brown hair)

Venn Diagrams With Three Categories

Example: A group of 62 students were surveyed, and it was found that each of the students surveyed liked at least one of the following three fruits: apricots, bananas, and cantaloupes.

34 liked apricots. 30 liked bananas. 33 liked cantaloupes. 11 liked apricots and bananas. 15 liked bananas and cantaloupes. 17 liked apricots and cantaloupes. 19 liked exactly two of the following fruits: apricots, bananas, and cantaloupes.

a. How many students liked apricots, but not bananas or cantaloupes? b. How many students liked cantaloupes, but not bananas or apricots? c. How many students liked all of the following three fruits: apricots, bananas, and cantaloupes? d. How many students liked apricots and cantaloupes, but not bananas?

Venn Diagram Word Problem

Here is an example on how to solve a Venn diagram word problem that involves three intersecting sets.

Problem: 90 students went to a school carnival. 3 had a hamburger, soft drink and ice-cream. 24 had hamburgers. 5 had a hamburger and a soft drink. 33 had soft drinks. 10 had a soft drink and ice-cream. 38 had ice-cream. 8 had a hamburger and ice-cream. How many had nothing? (Errata in video: 90 - (14 + 2 + 3 + 5 + 21 + 7 + 23) = 90 - 75 = 15)

Venn Diagrams With Two Categories

This video introduces 2-circle Venn diagrams, and using subtraction as a counting technique.

How To Use 3-Circle Venn Diagrams As A Counting Technique?

Learn about Venn diagrams with two subsets using regions.

Mathway Calculator Widget

We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.

problem solving with venn diagrams

All Formats

Resource types, all resource types.

  • Rating Count
  • Price (Ascending)
  • Price (Descending)
  • Most Recent

Problem solving with venn diagrams

Preview of Survey Problems Solved with Venn Diagrams (Notes, Worksheet, Diagram Template)

Survey Problems Solved with Venn Diagrams (Notes, Worksheet, Diagram Template)

problem solving using venn diagram grade 7 ppt

Problem solving with Venn - diagrams

problem solving using venn diagram grade 7 ppt

Venn Diagrams with Common Factors and GCF

problem solving using venn diagram grade 7 ppt

Probability with Venn Diagrams

problem solving using venn diagram grade 7 ppt

Elementary Venn Diagrams | Homeschool Problem Solving | Organizational Skills

problem solving using venn diagram grade 7 ppt

  • Word Document File

Preview of LESSON: Prime Factor Venn Diagrams & Real-World LCM and GCF - MATCHING NOTES

LESSON: Prime Factor Venn Diagrams & Real-World LCM and GCF - MATCHING NOTES

problem solving using venn diagram grade 7 ppt

  • Google Apps™

Preview of Chapter 12.8 Problem Solving Classify Plane Shapes Boom Cards™

Chapter 12.8 Problem Solving Classify Plane Shapes Boom Cards™

problem solving using venn diagram grade 7 ppt

  • Internet Activities

Preview of Algebra EOC Quiz - Venn Diagrams with Probability

Algebra EOC Quiz - Venn Diagrams with Probability

problem solving using venn diagram grade 7 ppt

Practice with Venn Diagrams - Riddle Worksheet

problem solving using venn diagram grade 7 ppt

Venn Diagram - Pass Around

problem solving using venn diagram grade 7 ppt

LCM and GCF with venn diagram , cake ladder and Prime factorization template

problem solving using venn diagram grade 7 ppt

Venn Diagrams and Sets with Conditional Probability

problem solving using venn diagram grade 7 ppt

Using Factor Trees and Venn Diagrams to Find the GCF - Jamboard

problem solving using venn diagram grade 7 ppt

  • Google Docs™

Preview of Brainy Acts with Venn Diagrams

Brainy Acts with Venn Diagrams

problem solving using venn diagram grade 7 ppt

Rational Number Problem Solving Task Cards: Level 27 Classify Venn Diagrams

problem solving using venn diagram grade 7 ppt

A Game With Venn - 7th Grade Math Game [CCSS 7.EE.B.3]

problem solving using venn diagram grade 7 ppt

Venn Diagrams Create, Draw, and Solve Problems (4 Variations Included)

problem solving using venn diagram grade 7 ppt

Surveys and Cardinal Numbers Solved with Venn Diagrams

Preview of Blood Typing with Venn Diagrams

Blood Typing with Venn Diagrams

problem solving using venn diagram grade 7 ppt

Venn Diagram Challenge Problems

problem solving using venn diagram grade 7 ppt

What Do You Do With a Problem ? By Kobi Yamada | SEL Book Companion

problem solving using venn diagram grade 7 ppt

Bullying, Social Skills, Problem Solving , & Feelings Activity Bundle

problem solving using venn diagram grade 7 ppt

Christmas Craft Name Ornaments Laced With Christmas Math

problem solving using venn diagram grade 7 ppt

  • We're hiring
  • Help & FAQ
  • Privacy policy
  • Student privacy
  • Terms of service
  • Tell us what you think

High Impact Tutoring Built By Math Experts

Personalized standards-aligned one-on-one math tutoring for schools and districts

Free ready-to-use math resources

Hundreds of free math resources created by experienced math teachers to save time, build engagement and accelerate growth

Free ready-to-use math resources

15 Venn Diagram Questions And Practice Problems (Middle & High School): Exam Style Questions Included

Beki Christian

Venn diagram questions involve visual representations of the relationship between two or more different groups of things. Venn diagrams are first covered in elementary school and their complexity and uses progress through middle and high school.

This article will look at the types of Venn diagram questions that might be encountered at middle school and high school, with a focus on exam style example questions and preparing for standardized tests. We will also cover problem-solving questions. Each question is followed by a worked solution.

How to solve Venn diagram questions

In middle school, sets and set notation are introduced when working with Venn diagrams. A set is a collection of objects. We identify a set using braces. For example, if set A contains the odd numbers between 1 and 10, then we can write this as: 

A = {1, 3, 5, 7, 9}

Venn diagrams sort objects, called elements, into two or more sets.

Venn Diagram example

This diagram shows the set of elements 

{1,2,3,4,5,6,7,8,9,10} sorted into the following sets.

Set A= factors of 10 

Set B= even numbers

The numbers in the overlap (intersection) belong to both sets. Those that are not in set A or set B are shown outside of the circles.

Different sections of a Venn diagram are denoted in different ways.

ξ represents the whole set, called the universal set.

∅ represents the empty set, a set containing no elements.

Venn Diagrams Worksheet

Venn Diagrams Worksheet

Download this quiz to check your students' understanding of Venn diagrams. Includes 10 questions with answers!

Let’s check out some other set notation examples!

In middle school and high school, we often use Venn diagrams to establish probabilities.

We do this by reading information from the Venn diagram and applying the following formula.

For Venn diagrams we can say

Middle School Venn diagram questions

In middle school, students learn to use set notation with Venn diagrams and start to find probabilities using Venn diagrams. The questions below are examples of questions that students may encounter in 6th, 7th and 8th grade.

A question on Venn diagrams from third space learning online tutoring

Venn diagram questions 6th grade

1. This Venn diagram shows information about the number of people who have brown hair and the number of people who wear glasses.

15 Venn Diagram Questions Blog Question 1

How many people have brown hair and glasses?

GCSE Quiz False

The intersection, where the Venn diagrams overlap, is the part of the Venn diagram which represents brown hair AND glasses. There are 4 people in the intersection.

2. Which set of objects is represented by the Venn diagram below?

15 Venn Diagram Questions Question 2 Image 1

We can see from the Venn diagram that there are two green triangles, one triangle that is not green, three green shapes that are not triangles and two shapes that are not green or triangles. These shapes belong to set D.

Venn diagram questions 7th grade

3. Max asks 40 people whether they own a cat or a dog. 17 people own a dog, 14 people own a cat and 7 people own a cat and a dog. Choose the correct representation of this information on a Venn diagram.

Venn Diagram Symbols GCSE Question 3 Option A

There are 7 people who own a cat and a dog. Therefore, there must be 7 more people who own a cat, to make a total of 14 who own a cat, and 10 more people who own a dog, to make a total of 17 who own a dog.

Once we put this information on the Venn diagram, we can see that there are 7+7+10=24 people who own a cat, a dog or both.

40-24=16 , so there are 16 people who own neither.

4. The following Venn diagrams each show two sets, set A and set B . On which Venn diagram has A ′ been shaded?

15 Venn Diagram Questions Question 4 Option A

\mathrm{A}^{\prime} means not in \mathrm{A} . This is shown in diagram \mathrm{B.}

Venn diagram questions 8th grade

5. Place these values onto the following Venn diagram and use your diagram to find the number of elements in the set \text{S} \cup \text{O}.

\xi = \{1, 2, 3, 4, 5, 6, 7, 8, 9, 10\} \text{S} = square numbers \text{O} = odd numbers

15 Venn Diagram Questions Question 5 Image 1

\text{S} \cup \text{O} is the union of \text{S} or \text{O} , so it includes any element in \text{S} , \text{O} or both. The total number of elements in \text{S} , \text{O} or both is 6.

6. The Venn diagram below shows a set of numbers that have been sorted into prime numbers and even numbers.

15 Venn Diagram Questions Question 6 Image 1

A number is chosen at random. Find the probability that the number is prime and not even.

The section of the Venn diagram representing prime and not even is shown below.

15 Venn Diagram Questions Question 6 Image 2

There are 3 numbers in the relevant section out of a possible 10 numbers altogether. The probability, as a fraction, is \frac{3}{10}.

7. Some people visit the theater. The Venn diagram shows the number of people who bought ice cream and drinks in the interval.

15 Venn Diagram Questions Question 7

Ice cream is sold for $3 and drinks are sold for $ 2. A total of £262 is spent. How many people bought both a drink and an ice cream?

Money spent on drinks: 32 \times \$2 = \$64

Money spent on ice cream: 16 \times \$3 = \$48

\$64+\$48=\$112 , so the information already on the Venn diagram represents \$112 worth of sales.

\$262-\$112 = \$150 , so another \$150 has been spent.

If someone bought a drink and an ice cream, they would have spent \$2+\$3 = \$5.

\$150 \div \$5=30 , so 30 people bought a drink and an ice cream.

High school Venn diagram questions

In high school, students are expected to be able to take information from word problems and put it onto a Venn diagram involving two or three sets. The use of set notation is extended and the probabilities become more complex.

In advanced math classes, Venn diagrams are used to calculate conditional probability.

Lower ability Venn diagram questions

8. 50 people are asked whether they have been to France or Spain.

18 people have been to France. 23 people have been to Spain. 6 people have been to both.

By representing this information on a Venn diagram, find the probability that a person chosen at random has not been to Spain or France.

15 Venn Diagram Questions Question 8 Image 1

6 people have been to both France and Spain. This means 17 more have been to Spain to make 23  altogether, and 12 more have been to France to make 18 altogether. This makes 35 who have been to France, Spain or both and therefore 15 who have been to neither.

The probability that a person chosen at random has not been to France or Spain is \frac{15}{50}.

9. Some people were asked whether they like running, cycling or swimming. The results are shown in the Venn diagram below.

15 Venn Diagram Questions Question 9 Image 1

One person is chosen at random. What is the probability that the person likes running and cycling?

15 Venn Diagram Questions Question 9 Image 2

9 people like running and cycling (we include those who also like swimming) out of 80 people altogether. The probability that a person chosen at random likes running and cycling is \frac{9}{80}.

10. ξ = \{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16\}

\text{A} = \{ even numbers \}

\text{B} = \{ multiples of 3 \}

By completing the following Venn diagram, find \text{P}(\text{A} \cup \text{B}^{\prime}).

15 Venn Diagram Questions Question 10 Image 1

\text{A} \cup \text{B}^{\prime} means \text{A} or not \text{B} . We need to include everything that is in \text{A} or is not in \text{B} . There are 13 elements in \text{A} or not in \text{B} out of a total of 16 elements.

Therefore \text{P}(\text{A} \cup \text{B}^{\prime}) = \frac{13}{16}.

11. ξ = \{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12\}

A = \{ multiples of 2 \}

By putting this information onto the following Venn diagram, list all the elements of B.

15 Venn Diagram Questions Question 11 Image 1

We can start by placing the elements in \text{A} \cap \text{B} , which is the intersection.

15 Venn Diagram Questions Question 11 Image 2

We can then add any other multiples of 2 to set \text{A}.

15 Venn Diagram Questions Question 11 Image 3

Next, we can add any unused elements from \text{A} \cup \text{B} to \text{B}.

15 Venn Diagram Questions Question 11 Image 4

Finally, any other elements can be added to the outside of the Venn diagram.

15 Venn Diagram Questions Question 11 Image 3

The elements of \text{B} are \{1, 2, 3, 4, 6, 12\}.

Middle ability high school Venn diagram questions

12. Some people were asked whether they like strawberry ice cream or chocolate ice cream. 82% said they like strawberry ice cream and 70% said they like chocolate ice cream. 4% said they like neither.

By putting this information onto a Venn diagram, find the percentage of people who like both strawberry and chocolate ice cream.

15 Venn Diagram Questions Question 12 Image 1

Here, the percentages add up to 156\%. This is 56\% too much. In this total, those who like chocolate and strawberry have been counted twice and so 56\% is equal to the number who like both chocolate and strawberry. We can place 56\% in the intersection, \text{C} \cap \text{S}

We know that the total percentage who like chocolate is 70\%, so 70-56 = 14\%-14\% like just chocolate. Similarly, 82\% like strawberry, so 82-56 = 26\%-26\% like just strawberry.

15 Venn Diagram Questions Question 12 Image 2

13. The Venn diagram below shows some information about the height and gender of 40 students.

15 Venn Diagram Questions Question 13 Image 1

A student is chosen at random. Find the probability that the student is female given that they are over 1.2 m .

We are told the student is over 1.2m. There are 20 students who are over 1.2m and 9 of them are female. Therefore the probability that the student is female given they are over 1.2m is   \frac{9}{20}.

15 Venn Diagram Questions Question 13 Image 2

14. The Venn diagram below shows information about the number of students who study history and geography.

H = history

G = geography

problem solving using venn diagram grade 7 ppt

Work out the probability that a student chosen at random studies only history.

We are told that there are 100 students in total. Therefore:

x = 12 or x = -3 (not valid) If x = 12, then the number of students who study only history is 12, and the number who study only geography is 24. The probability that a student chosen at random studies only history is \frac{12}{100}.

15. 50 people were asked whether they like camping, holiday home or hotel holidays.

18\% of people said they like all three. 7 like camping and holiday homes but not hotels. 11 like camping and hotels. \frac{13}{25} like camping.

Of the 27 who like holiday homes, all but 1 like at least one other type of holiday. 7 people do not like any of these types of holiday.

By representing this information on a Venn diagram, find the probability that a person chosen at random likes hotels given that they like holiday homes.

15 Venn Diagram Questions Question 15 Image 1

Put this information onto a Venn diagram.

15 Venn Diagram Questions Question 15 Image 2

We are told that the person likes holiday homes. There are 27 people who like holiday homes. 19 of these also like hotels. Therefore, the probability that the person likes hotels given that they like holiday homes is \frac{19}{27}.

Looking for more Venn diagram math questions for middle and high school students ?

  • Probability questions
  • Ratio questions
  • Algebra questions
  • Trigonometry questions
  • Long division questions
  • Pythagorean theorem questions

Do you have students who need extra support in math? Give your students more opportunities to consolidate learning and practice skills through personalized math tutoring with their own dedicated online math tutor. Each student receives differentiated instruction designed to close their individual learning gaps, and scaffolded learning ensures every student learns at the right pace. Lessons are aligned with your state’s standards and assessments, plus you’ll receive regular reports every step of the way. Personalized one-on-one math tutoring programs are available for: – 2nd grade tutoring – 3rd grade tutoring – 4th grade tutoring – 5th grade tutoring – 6th grade tutoring – 7th grade tutoring – 8th grade tutoring Why not learn more about how it works ?

The content in this article was originally written by secondary teacher Beki Christian and has since been revised and adapted for US schools by elementary math teacher Katie Keeton.

Related articles

15 Probability Questions And Practice Problems for Middle and High School: Harder Exam Style Questions Included

15 Probability Questions And Practice Problems for Middle and High School: Harder Exam Style Questions Included

9 Algebra Questions And Practice Problems To Do With Your Middle Schoolers

9 Algebra Questions And Practice Problems To Do With Your Middle Schoolers

15 Trigonometry Questions And Practice Problems To Do With High Schoolers

15 Trigonometry Questions And Practice Problems To Do With High Schoolers

Ratio Questions And Practice Problems: Differentiated Practice Questions Included

Ratio Questions And Practice Problems: Differentiated Practice Questions Included

Solving Inequalities Questions [FREE]

Downloadable skills and applied questions about solving inequalities.

Includes 10 skills questions, 5 applied questions and an answer key. Print and share with your classes to support their learning.

Privacy Overview

  • Skills by Standard
  • Skills by Grade
  • Skills by Category

Go to profile

  • Assignments
  • Assessments
  • Report Cards
  • Our Teachers

Remove ads and gain access to the arcade and premium games!

Unlock harder levels by getting an average of 80% or higher.

Earn up to 5 stars for each level The more questions you answer correctly, the more stars you'll unlock!

Each game has 10 questions. Green box means correct. Yellow box means incorrect.

Need some help or instruction on how to do this skill?

Want a paper copy? Print a generated PDF for this skill.

Share MathGames with your students, and track their progress.

See how you scored compared to other students from around the world.

Learn Math Together.

Grade 7 - Expressions & Equations

Standard 7.EE.B.3 - Use venn diagrams to solve word problems.

Included Skills:

Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate; and assess the reasonableness of answers using mental computation and estimation strategies. For example: If a woman making $25 an hour gets a 10% raise, she will make an additional 1/10 of her salary an hour, or $2.50, for a new salary of $27.50. If you want to place a towel bar 9 3/4 inches long in the center of a door that is 27 1/2 inches wide, you will need to place the bar about 9 inches from each edge; this estimate can be used as a check on the exact computation.

If you notice any problems, please let us know .

PowerShow.com - The best place to view and share online presentations

  • Preferences

Free template

How To Solve a Word Problem Using Venn Diagrams - PowerPoint PPT Presentation

problem solving using venn diagram grade 7 ppt

How To Solve a Word Problem Using Venn Diagrams

... skateboarding, one set for bicycling, and one set for college student chat rooms. ... all the students who joined the bicycling chat room or n(bicycling) ... – powerpoint ppt presentation.

  • Suppose that a group of 200 students are surveyed and ask which chatrooms they have joined. There are three chatrooms in our survey one for skateboarding, one for bicycling, and one for college students.
  • 90 students joined the room for skateboarding
  • 50 students joined the room for bicycling
  • 70 students joined the room for college students
  • 15 students joined rooms for skateboarding and college students
  • 12 students joined rooms for bicycling and college students
  • 25 students joined rooms for skateboarding and bicycling
  • 10 students joined all three rooms.
  • 1.) How many students joined the room for skateboarding OR bicycling?
  • 2.) How many students did not join any of these three rooms?
  • 3.) How many students joined the bicycling AND skateboarding rooms BUT NOT the room for college students?
  • 4.) How many students joined EXACTLY 1 of these rooms?
  • 5.) How many students joined AT MOST 2 of these rooms?
  • This problem seems too difficult to solve! But it isnt. You just need to use a Venn Diagram to represent the relationship between the three chat rooms and the answers to all 5 of these questions will be perfectly clear.
  • For this type of problem we fill in our regions for our Venn Diagram. We use the information given to fill in the number of students in each region. We start from the bottom and work our way to the top.
  • First we draw our Venn Diagram representing three sets, one set for Skateboarding, one set for Bicycling, and one set for College Student chat rooms. Then we label our regions and start putting in the number of elements or students for each region. 10 students joined all three rooms means these 10 students are in all three circles - the intersection of circles for skateboarding, bicycling, and college students. This is represented by region 5 - we need to put in a 10 in region 5.
  • Our next piece of information is
  • What do these 25 students represent? They are the the set of students who joined the Skateboarding chatroom AND the Bicycling chatroom or n(Skateboarding n Bicycling). These 25 students are in both the Skateboarding circle AND the Bicycling circle. This intersection is represented by regions 2 5 - we already have 10 students in region 5 so the number of students to put in region 2 25-10 or 15.
  • What do these 12 students represent? They are the the students who joined the Bicycling chatroom AND the College Students chatroom or n(Bicycling n College Students). These 12 students are in both the Bicycling circle AND the College Student circle. This intersection is represented by regions 5 6 - we already have 10 students in region 5 so the number of students to put in region 6 12-10 or 2.
  • What do these 15 students represent? They represent the students who joined the Skateboarding chatroom AND the students who joined the College Students chatroom or
  • n(Skateboarding n College Students). These 15 students are in both the Skateboarding circle AND the College Student circle. This intersection is represented by regions 4 5 - we already have 10 students in region 5 so the number of students to put in region 4 15-10 or 5.
  • What do these 70 students represent? They represent ALL the students who joined the College Students chat room or n(College Students). This is represented by regions 4 5 6 7 - the sum of the students in these four regions 70. We already have 5 students in region 4, 10 students in region 5, and 2 students in region 6 so the number of students to put in region 7 70-(1052) 53.
  • What do these 50 students represent? They represent ALL the students who joined the Bicycling chat room or n(Bicycling). This is represented by regions 2 3 5 6 - the sum of the students in these four regions 50. We already have 15 students in region 2, 10 students in region 5, and 2 students in region 6 so the number of students to put in region 3 50-(15102) 23.
  • What do these 90 students represent? They represent ALL the students who joined the Skateboarding chatroom or n(Skateboarding). This is represented by regions 1 2 4 5 - the sum of the students in these four regions 90. We already have 15 students in region 2, 5 students in region 4, and 10 students in region 5 so the number of students to put in region 1 90-(15510) 60.
  • We have now filled in regions 1 thru 7, we only have to fill in region 8. What students does region 8 represent? Region 8 represents the students surveyed who did not join any of the three chatrooms in our survey. These students are not in any of the circles that represent our sets. The sum of ALL 8 regions must add up to all the students we surveyed - our universe - or 200 students. Therefore, the number of students in region 8 200-(601523510253)32.
  • Now that we have all our regions filled in we can answer our five questions.
  • How many students joined the room for skateboarding OR bicycling?
  • This is asking us for the union of the skateboarding and bicycling chatrooms or n(Skateboarding U Bicycling). For union we bring all the members of the skateboarding and bicycling chatrooms together. We want all the regions in the skateboarding and bicycling circle (remember dont count regions more than once). So the students we are interested in are in regions 1 2 3 4 5 6 or
  • 60 15 23 5 10 2 115 students
  • How many students did not join any of these three rooms?
  • The students who did not join any groups are not in ANY of the three circles. These students are in region 8. So the number of students who did not join any of these three chatrooms 32 students
  • How many students joined the bicycling AND skateboarding rooms BUT NOT the room for college students?
  • We want the students who joined bicycling AND skateboarding - this represents the intersection of the skateboarding and bicycling sets - regions 2 5. The next part of the question tells us that we do not want students in the College Students set, so we do not want region 5 since this region while it is in the intersection of skateboarding and bicycling it is also in the college students circle, we only want region 2. The answer is 15 students.
  • How many students joined EXACTLY 1 of these rooms?
  • The students who joined EXACTLY 1 of the rooms will be in regions that are only in 1 circle. These regions include 1, 3, and 7, we will add all the students in these regions to get our answer.
  • 60 23 53 136 students
  • Students who joined exactly 2 chatrooms will be in regions in exactly 2 circles, these regions are 2,4, and 6.
  • Students who joined exactly 3 chatrooms will be in regions in exactly 3 circles, this region is 5.
  • How many students joined AT MOST 2 of these rooms?
  • AT MOST 2 means the number of rooms we want a student to join is LESS THAN OR EQUAL TO 2. ( 2 rooms). We want regions that are in 2 circles, 1 circle, or none of the circles. These include regions 1,2,3,4,6,7,and 8. We add up all these regions to get our answer.
  • 601523525332 190 students
  • NOTE If the question had asked for the number of students who joined AT LEAST 2 of these rooms we would be interested in regions that are in 2 OR MORE circles (at least mean means 2). We would want to add together the students in regions 2,4,5,and 6.

PowerShow.com is a leading presentation sharing website. It has millions of presentations already uploaded and available with 1,000s more being uploaded by its users every day. Whatever your area of interest, here you’ll be able to find and view presentations you’ll love and possibly download. And, best of all, it is completely free and easy to use.

You might even have a presentation you’d like to share with others. If so, just upload it to PowerShow.com. We’ll convert it to an HTML5 slideshow that includes all the media types you’ve already added: audio, video, music, pictures, animations and transition effects. Then you can share it with your target audience as well as PowerShow.com’s millions of monthly visitors. And, again, it’s all free.

About the Developers

PowerShow.com is brought to you by  CrystalGraphics , the award-winning developer and market-leading publisher of rich-media enhancement products for presentations. Our product offerings include millions of PowerPoint templates, diagrams, animated 3D characters and more.

World's Best PowerPoint Templates PowerPoint PPT Presentation

IMAGES

  1. problem solving involving sets using venn diagrams ppt

    problem solving using venn diagram grade 7 ppt

  2. Solving Problem using Venn Diagram Part 1

    problem solving using venn diagram grade 7 ppt

  3. how to solve venn diagram problems

    problem solving using venn diagram grade 7 ppt

  4. Solving Problems with Venn Diagrams

    problem solving using venn diagram grade 7 ppt

  5. 8

    problem solving using venn diagram grade 7 ppt

  6. Problem Solving of Sets with 2 circles Venn Diagram

    problem solving using venn diagram grade 7 ppt

VIDEO

  1. Solving Conditional Probability Problem Using Venn Diagram

  2. Venn Diagram Day 2

  3. Venn Diagrams and Introduction to Sets

  4. SAMPLE 3 SOLVING PROBLEM USING VENN DIAGRAM

  5. Venn Diagram and Sets Challenge 06

  6. VENN DIAGRAM (वैन आरेख )

COMMENTS

  1. Solving Problems Using Venn Diagram

    Grade 7 - Mathematics Quarter I SOLVING PROBLEMS USING VENN DIAGRAM 2. •describe the set notation given by the shaded region in the Venn Diagram; and •solve problems using Venn Diagram.

  2. Solving Problems using Venn Diagrams.pptx

    Solving Problems using Venn Diagrams.pptx - Download as a PDF or view online for free. ... Grade 7 learning consolidated camp is a power point to be used in the learning camp to better explain the topic. ... This PPT is about the Unit 7 of UGC NET Paper 1 Data Interpretation. Data Interpretation a topic where you need to look at a certain data ...

  3. PDF Grade 7 Math LESSON 3: PROBLEMS INVOLVING SETS TEACHING GUIDE

    1. Solve word problems involving sets with the use of Venn diagrams 2. Apply set operations to solve a variety of word problems. NOTE TO THE TEACHER This is an important lesson. Do not skip it. This lesson reinforces what students learned about sets, set operations and the Venn diagram in solving problems. Lesson Proper: I. Activity Try solving ...

  4. Powerpoints and Videos

    Introduction to Sets Video Tutorial. Definition, notation and properties of Sets. Representation of a set. Numerical Sets. Subsets and proper subsets. Super set, power set, empty/null set and universal set. Complement and cardinality of sets. Solving Problems Involving Sets Using Venn Diagram.

  5. Math 7

    At the end of this lesson, the learner should be able to: define and explain the historical method of philosophizing, compare the Socratic method, dialectic method, scientific method, and historical method as methods of philosophizing, distinguish an opinion from truth by analyzing the given situations, and justify the validity of the statement "The historical method leads to wisdom and ...

  6. Solving Problems Using Venn Diagram || Grade 7 Mathematics Q1

    ‼️FIRST QUARTER‼️🟢 GRADE 7: SOLVING PROBLEMS USING VENN DIAGRAMGRADE 7 PLAYLISTFirst Quarter: https://tinyurl.com/yyzdequa Second Quarter: https://tinyurl.c...

  7. Mathematics 7 Quarter 1

    But the order in which you read them can be changed to correspond with the textbook you are now using. The module is all about Solving Problems Involving Sets. After going through this module, you are expected to: 1. solve problems involving sets using Venn diagram; 2. apply set operations to solve a variety of word problems. MATH7-ADM-MODULE-2

  8. Venn Diagram Word Problems

    Here is an example on how to solve a Venn diagram word problem that involves three intersecting sets. Problem: 90 students went to a school carnival. 3 had a hamburger, soft drink and ice-cream. 24 had hamburgers. 5 had a hamburger and a soft drink. 33 had soft drinks. 10 had a soft drink and ice-cream. 38 had ice-cream. 8 had a hamburger and ...

  9. Solving Problems Involving Sets Using Venn Diagrams G7 SIM

    Solving Problems Involving Sets Using Venn Diagrams G7 SIM - Free download as Powerpoint Presentation (.ppt), PDF File (.pdf), Text File (.txt) or view presentation slides online. Here is a suggested jingle for the steps in solving word problems involving sets using Venn Diagrams: Draw a circle, draw another List the sets, one and then other Place the info, in each section Count them up, find ...

  10. IXL

    Use Venn diagrams to solve problems. IXL's SmartScore is a dynamic measure of progress towards mastery, rather than a percentage grade. It tracks your skill level as you tackle progressively more difficult questions. Consistently answer questions correctly to reach excellence (90), or conquer the Challenge Zone to achieve mastery (100)!

  11. IXL

    IXL's SmartScore is a dynamic measure of progress towards mastery, rather than a percentage grade. It tracks your skill level as you tackle progressively more difficult questions. Consistently answer questions correctly to reach excellence (90), or conquer the Challenge Zone to achieve mastery (100)! Learn more. 0. Count shapes in a Venn diagram.

  12. PDF Quarter 1 Module 2: Problems Involving Sets

    Venn diagram is a principal way of showing sets diagrammatically. This method consists primarily of entering the elements of a set into a circle or circles. It can be used to solve word problems involving union and intersection of sets. In solving set operations using the Venn diagram, the following are the steps to be followed: Step 1.

  13. Problem Solving With Venn Diagrams Teaching Resources

    PowerPoint presentation, 10 slides, Explaining with examples, how to solve problems using Venn diagrams up to three sets. based on IGCSE Extended syllabus.More resources www.mathssupport.org. ... This is a supplemental resource that compliments 3rd Grade Go Math Chapter 12 Lesson 8 Problem Solving Describe Plane Shapes. The first 3 cards ...

  14. PDF Solving Problems using Venn Diagrams LESSON

    Worksheet Solving problems using Venn diagrams Qu 1-3 9-1 class textbook: p246 M8.7 Qu 1-6 (Look at Qu 2 and 5 in class) A*-G class textbook: No exercise 9-1 homework book: p84 M8.7 Qu 1-5 A*-G homework book: No exercise Summary When completing the Venn diagram, fill in the number in the overlap or outside the circles first.

  15. 15 Venn Diagram Questions And Practice Problems With Solutions

    High school Venn diagram questions. In high school, students are expected to be able to take information from word problems and put it onto a Venn diagram involving two or three sets. The use of set notation is extended and the probabilities become more complex. In advanced math classes, Venn diagrams are used to calculate conditional probability.

  16. SOLVING PROBLEMS USING VENN DIAGRAM || GRADE 7 MATHEMATICS Q1

    In this video you will learn how to solve problems using venn diagram. Feel Free TO WATCH and LEARN! For more videos please CLICK me here! ...

  17. Practising Year 7 maths: 'Use Venn diagrams to solve problems'

    Improve your skills with free problems in 'Use Venn diagrams to solve problems' and thousands of other practice lessons. Free webinar: Differentiated learning in the Australian classroom. Free webinar: Differentiated learning.

  18. Solving Word Problems Involving Sets Using Venn Diagram

    This video lesson is about solving word problems using Venn diagram. I have included 2-circles and 3-circles Venn diagram here with varying degree of difficu...

  19. Use Venn Diagrams to Solve Problems

    Standard 7.EE.B.3 - Use venn diagrams to solve word problems. Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of operations to calculate with numbers in any form; convert between forms as ...

  20. Venn Diagram Word Problems

    Venn Diagram Problems can be challenging for beginners. It is extremely important to: Read the question carefully and note down all key information, usually summarised in dot point form. Know the standard parts of a Venn Diagram Work in a step by step manner Check at the end that all the numbers add up properly.

  21. Grade 7 Math Q1 Ep4: Problems Involving Sets

    Grade 7 MathQuarter 1Episode 4: Problems Involving SetsTeacher: Janet Dar-Juan

  22. PPT

    Title: How To Solve a Word Problem Using Venn Diagrams 1 How To Solve a Word Problem Using Venn Diagrams 2. Suppose that a group of 200 students are surveyed and ask which chatrooms they have joined. There are three chatrooms in our survey one for skateboarding, one for bicycling, and one for college students.

  23. Problems involving sets

    2. Objectives At the end of the lesson the students are expected to: 1. apply set operation to solve a variety of word problems. 2. solve word problems involving sets with the use of Venn Diagram. 3. participate actively in the group activities and class discussion. 3.