The DfE document describing the **GCSE Mathematics subject content** is an excellent starting point for checking new content, **all** exam boards must include this content.

Note that only the more highly attaining students will be assessed on the content identified by bold type. The highest attaining students will develop confidence and competence with the bold content. See page 4 of the DfE document.

There are many excellent resources for teaching Venn Diagrams; investigate this collection.

**Diagnostic Questions**

Diagnostic Questions

On Diagnostic Questions – **Probability with Venn Diagrams**.

Diagnostic questions now has over 21000 questions on Mathematics including wonderful collections of examination questions. The site is completely free (and promises to remain so). Plenty of **help** is available to help you learn how to use the site. Also

**CIMT** is one of my **Top >10 websites** for a very good reason – when I want additional examples for any topic at any level I can always find them on CIMT! Venn Diagrams are no exception to this, you can find **Sets and Venn Diagrams**, **Set Notation **and** Logic and Venn Diagrams **in the student interactive resources** **and the text chapter on Logic from the Year 7 text **here**; in sections 1.3, 1.4 and 1.5 of the text you will find examples and exercises on Set Notation and Venn diagrams. See also the **additional Teacher resources** for this unit (Unit 1, Logic) such as Additional exercises are also available as are Aural Tests. Other teacher resources include slides and Revision Tests (you will need **the CIMT password** for the Revision Tests).

AQA – Bridging the Gap

From AQA’s excellent **Bridging the Gap** resources, **Sets and Venn Diagrams **is superb, also see the OCR resources, from **OCR’s Check In tests**, see **Combined events and probability diagrams**. For further information on the changes to Probability at GCSE **see this post.**

**Nrich** too can always be relied on to provide resources – **a search on ‘venn’ returns these resources**.

From **Sums Mathematics** come two very useful activities to illustrate Venn Diagrams. From the **Index** choose Sorting & dbases under Data Handling where you will find Venn Diagram activities for two sets and three sets.

From teachitMaths, try **Venn diagram dominoes **(pdf versions of all the resources on this site are free).

However, note that some of these questions refer to ‘difference’, examination specifications should be checked for notation, for example **AQA’s helpful teaching guidance** includes notation such as this illustration.

AQA Teaching Guidance

For a useful way of displaying these regions on Venn Diagrams you could use the demonstration from the **Venn Diagrams tutorial** on Vivax Solutions. Geogebra or WolframAlpha can also be very easily used as shown near the end of this post.

Or try Transum’s **Venn Paint**.

Level 2 has 3 set Venn Diagrams. Exam Questions are included also (solutions are provided forsubscribers).

Included in Jonny Griffiths wonderful **RISPS** – see **RISP 10.**

On a similar theme – from the Further Maths network have a look at the excellent **GCSE extension tasks**, see **NA1** for example.

From Craig Barton – see this **whole collection of rich tasks** with Venn diagrams.

To really challenge your students combine Venn Diagrams and Algebra and try this **review question** from Underground Mathematics. (From a 1969 MEI O Level Additional Mathematics paper.

A **search finds more problems** – all resources on Underground Mathematics include complete documentation including suggestions, a full solution, printable materials and more.

Perhaps try **Can we find how many boys study French, Latin and German? **or** Quadratic Solving Sorter **– not a traditional Venn diagram problem but certainly a diagram as in the possible solution presented is a very good idea.

From Census at School combine Statistics and Venn diagrams, and check this task on **Washing Up**!

These three interactives from **Shodor** are a good introduction to Venn diagrams:

**Venn Diagrams**, **Shape Sorter **and **Triple Venn Diagram Shape Sorter **

With the Triple Venn Diagram Shape Sorter you can either set the rules or guess the rules by selecting the appropriate botton:

Some excellent activities are available from the **Illuminations site**.

The **Shape Sorter** allows exploration of geometric properties of shapes.

Select Instructions and Exploration for clear information on how to use the resource.

**WolframAlpha** can be used to illustrate Venn Diagrams.

The **slideshow here** shows several examples.

Alternatively – try **GeoGebra** or this **UCLA **applet.

On a lighter note – a Twitter conversation on a fun idea!

**Here’s some more on MailOnline. **

If you want to create your own there are plenty of tools to use – there is a **good summary here on Cometdocs**.

…and to take Venn Diagrams to their extremes have a look at these **wonderful images from New Scientist!**