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Venn Diagrams & Set Notation

Online Maths Courses

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This topic represents sets with Venn diagrams and uses set notation — union, intersection and complement — to solve problems and calculate probabilities from the regions. It's a core topic in GCSE and iGCSE Maths with Edexcel and the other major boards. This free interactive eClassroom course walks through each step with worked examples and instant-feedback questions, so you can practise until it's secure.

How you do it

The upside-down U means both sets, the U means either, and the dash means not. Shade the region the notation describes before counting. Read the probability as the shaded region over the total number.

Before you start

Bring Venn diagrams and probability notation with you. This is the foundation for conditional probability. Assessed at Higher tier.

What you learn

A ∪ B — ‘A or B’, the union (everything in either circle). The course works through the set-notation symbols, counting with set notation and probabilities with set notation. Every section has instant-feedback practice questions matched to Edexcel iGCSE 4MA1 and the other major GCSE boards, and the course finishes with full exam-style questions you mark yourself.

Related Topics

In our GCSE maths courses, Venn Diagrams & Set Notation belongs to Probability and is met in Higher tier. You work through 3 concepts and 2 worked examples, testing yourself at 3 points. Students often pair it with Without Replacement, And / OR rules and Basic Probability. Endless extra practice on this strand is available on the Probability revision engine, which generates a fresh question each time.

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