Transum Software

Venn Totals

Practise reading and creating Venn diagrams containing two and three sets and the number of elements in those sets.

Level 1 Level 2 Level 3 Level 4 Exam-Style Description Help More Sets

This is level 4: Adding information to a Venn diagram containing three intersecting sets with some problem solving required. You can earn a trophy if you get at least 7 questions correct.

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Buzz

Rag

Gossip

Which newspapers do you read?

The island of Null has three daily newspapers. They are The Buzz, The Rag and The Gossip. 437 people on the island were asked which of these newspapers they read regularly. The Venn diagram above shows the number of people that read each newspaper. Enter the numbers in each section of the diagram by using the information provided:
  • 24 people did not read any of the newspapers;
  • 116 people read both The Buzz and The Rag;
  • 77 people read both The Buzz and The Gossip;
  • 97 people read both The Rag and The Gossip;
  • 73 people read The Buzz only;
  • 89 people read The Rag only;
  • 51 people read The Gossip only;

How many people read all three newspapers?
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How many people read at least two newspapers?
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Check

This is Venn Totals level 4. You can also try:
Level 1 Level 2 Level 3 Venn Diagram Venn Paint Venn Pairs

Instructions

Try your best to answer the questions above. Type your answers into the boxes provided leaving no spaces. As you work through the exercise regularly click the "check" button. If you have any wrong answers, do your best to do corrections but if there is anything you don't understand, please ask your teacher for help.

When you have got all of the questions correct you may want to print out this page and paste it into your exercise book. If you keep your work in an ePortfolio you could take a screen shot of your answers and paste that into your Maths file.

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Connect 4 Factors

A mathematical version of the popular Connect 4 game based on getting four numbers with a common factor in a line. Fun for one, two or a whole class of pupils.

Answers

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Go Maths

Learning and understanding Mathematics, at every level, requires learner engagement. Mathematics is not a spectator sport. Sometimes traditional teaching fails to actively involve students. One way to address the problem is through the use of interactive activities and this web site provides many of those. The Go Maths page is an alphabetical list of free activities designed for students in Secondary/High school.

Maths Map

Are you looking for something specific? An exercise to supplement the topic you are studying at school at the moment perhaps. Navigate using our Maths Map to find exercises, puzzles and Maths lesson starters grouped by topic.

Teachers

If you found this activity useful don't forget to record it in your scheme of work or learning management system. The short URL, ready to be copied and pasted, is as follows:

Do you have any comments? It is always useful to receive feedback and helps make this free resource even more useful for those learning Mathematics anywhere in the world. Click here to enter your comments.

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Description of Levels

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Level 1 - Reading information from a Venn diagram containing two intersecting sets.

Level 2 - Reading information from a Venn diagram containing three intersecting sets.

Level 3 - Adding information to a Venn diagram containing three intersecting sets.

Level 4 - Adding information to a Venn diagram containing three intersecting sets with some problem solving required.

Exam Style questions are in the style of GCSE or IB/A-level exam paper questions and worked solutions are available for Transum subscribers.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don’t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

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Example

This video is Art of Problem Solving's Richard Rusczyk introducing 3-circle Venn diagrams as a counting technique.

Don't wait until you have finished the exercise before you click on the 'Check' button. Click it often as you work through the questions to see if you are answering them correctly. You can double-click the 'Check' button to make it float at the bottom of your screen.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don’t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

Log in Sign up

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