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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?

Correct Wrong
How many pupils only cycle to school? Correct Wrong
How many pupils only walk to school? Correct Wrong
How many pupils neither cycle nor walk? Correct Wrong
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? Correct Wrong

Anyone who walks to school is given a high visibility vest. How many vests were required?
Correct Wrong

What is the total number of pupils that never cycle to school?
Correct Wrong

What is the total number of pupils that never walk to school?
Correct Wrong

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?
Correct Wrong

What is the total number of pupils in this Maths class?
Correct Wrong
Check

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.

Why am I learning this?

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 1 August 'Starter of the Day' page by Peter Wright, St Joseph's College:

"Love using the Starter of the Day activities to get the students into Maths mode at the beginning of a lesson. Lots of interesting discussions and questions have arisen out of the activities.
Thanks for such a great resource!"

Comment recorded on the 6 May 'Starter of the Day' page by Natalie, London:

"I am thankful for providing such wonderful starters. They are of immence help and the students enjoy them very much. These starters have saved my time and have made my lessons enjoyable."

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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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.

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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:

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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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