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Venn Totals

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

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This is level 1: Reading information from a Venn diagram containing two intersecting sets. You can earn a trophy if you get at least 7 questions correct.

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Cycle

Walk

How do you get to school?

The Venn diagram shows how pupils from a Maths class get to school each morning. Some pupils cycle or walk depending on the weather. The number of these pupils are shown when the sets intersect (overlap). How many pupils both cycle and walk?
How many pupils only cycle to school?
How many pupils only walk to school?
How many pupils neither cycle nor walk?
The head teacher will provide a cycle lock for each pupil that cycles to school. How many cycle locks will the head teacher neet to provide?
Anyone who walks to school is given a high visibility vest. How many vests were required?
What is the total number of pupils that never cycle to school?
What is the total number of pupils that never walk to school?
All of the pupils who do not cycle or walk to school come by car. What is the total number of pupils who do not come to school by car?
What is the total number of pupils in this Maths class?

This is Venn Totals level 1. You can also try:
Level 2 Level 3 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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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:	Alternatively, if you use Google Classroom, all you have to do is click on the green icon below in order to add this activity to one of your classes.	It may be worth remembering that if Transum.org should go offline for whatever reason, there is a mirror site at Transum.info that contains most of the resources that are available here on Transum.org. When planning to use technology in your lesson always have a plan B!
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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.

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.

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