Sets and Venn Diagrams GCSE revision and worksheets

Sets and Venn Diagrams are one of the new topics in the GCSE Maths syllabus and therefore there aren't as many resources out there. However, at Maths Made Easy we have made the effort to collate as many excellent Venn Diagram questions and Sets revision so that every student can revise this effectively. We have also added a detailed description of the specification so that you know exactly what you have to learn. Good luck with your revision.

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What you need to know

What you need to know:

In maths, a set is a collection of objects, or things. We denote a set by using the curly brackets, for example the set of the first 5 odd numbers is given by \{1, 3, 5, 7, 9\}.You should be familiar with the following two definitions:

  • The union of sets is the collection of every object that appears in each set. This is denoted by the symbol \cup, i.e. the union of two sets A, B is given by A \cup B;
  • The intersection of sets is the collection of only those objects which are in all of the sets. This is denoted by the \cap, i.e. the intersection of two set A, B is given by A \cap B.

You are expected to be able to relate these ideas and definitions to a Venn diagram – a way of visually representing sets, an example of which is displayed below.

One circle represents the set A, the other circle represents B, and the section where they cross over represents A \cap B. The box is called the universal set, and is often denoted by the Greek letter \epsilon – it refers to the collection of all possibilities, including those not in either of the two sets.

You may be asked to construct a Venn diagram and then use it to answer questions about probability. For example “what is P(A \cup B)?” which means “what is the probability of being in the union of sets A and B?”, or “what is P(A')?” which means “what is the probability of not being in set A?”. On top of this, for the higher course you are expected to use Venn diagrams to answer questions on conditional probability: likelihood of a certain outcome given that we know something else has already happened, e.g. the probability of someone doing well in their Physics exam, given that we already know they did well in their Maths exam.

Sets and Venn Diagram resources can be accessed through this Maths Made Easy super resource page. You may be a Maths teacher in London or a GCSE Maths tutor in York, trying to find Venn Diagram resources or homework sheets for your pupils, well you have stumbled across the best site. If you want to access more great resources you can always visit our GCSE Maths revision homepage.

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