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 3: Adding information to a Venn diagram containing three intersecting sets. You can earn a trophy if you get at least 7 questions correct.

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Rap

House

Pop

What music do you like?

The Venn diagram above shows the types of music a group of university students liked. Enter the numbers in each section of the diagram by using the information below:
  • 27 people liked all three types of music;
  • 24 people liked rap and pop but not house;
  • 27 people liked rap and house but not pop;
  • 38 people liked both house and pop;
  • 21 people liked rap only;
  • 30 people liked house only;
  • 68 people in total liked pop;
  • 14 people didn't like any of these three types of music;

How many people liked only one type of music?
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How many people liked exactly two types of music?
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Check

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

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"I use Starter of the Day as a registration and warm-up activity for my Year 6 class. The range of questioning provided is excellent as are some of the images.
I rate this site as a 5!"

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Three Ways

Three Ways

Can you get to the target number by multiplying together four different one digit numbers? Can you do it in three different ways? There are nine levels to this online challenge and a virtual Transum Trophy available for each level.

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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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