Venn TotalsPractise reading and creating Venn diagrams containing two and three sets and the number of elements in those 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.
Buzz
Rag
Gossip
Which newspapers do you read?
This is Venn Totals level 4. You can also try:
Level 1
Level 2
Level 3
Venn Diagram
Venn Paint
Venn Pairs
InstructionsTry 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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Mathematicians are not the people who find Maths easy; they are the people who enjoy how mystifying, puzzling and hard it is. Are you a mathematician? Comment recorded on the 16 March 'Starter of the Day' page by Mrs A Milton, Ysgol Ardudwy: "I have used your starters for 3 years now and would not have a lesson without one! Fantastic way to engage the pupils at the start of a lesson." Comment recorded on the 3 October 'Starter of the Day' page by Mrs Johnstone, 7Je: "I think this is a brilliant website as all the students enjoy doing the puzzles and it is a brilliant way to start a lesson." 
Whose Idea Was This?Did you enjoy doing this 'Venn Totals' activity? Are you curious about who originally came up with this idea in Maths? Discover more about one of the mathematicians who is associated with this concept. 

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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/Alevel exam paper questions and worked solutions are available for Transum subscribers.
This video is Art of Problem Solving's Richard Rusczyk introducing 3circle 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 doubleclick 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.
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