MathsYears 9–11Statistics & Probability

Venn diagrams and set notation

Learn Venn diagrams and set notation for Years 9–11 pupils (ages 13–16). Free practice questions, lessons and worked examples — aligned to the UK National Curriculum.

What you'll learn

  1. 1

    A Venn diagram sorts items into overlapping circles. The overlap holds items in BOTH sets.

  2. 2

    A ∩ B means "A and B" — the intersection, the overlap. A ∪ B means "A or B" — the union, everything in either.

  3. 3

    What does A ∩ B mean?

  4. 4

    When filling in a Venn diagram, ALWAYS start with the overlap and work outwards.

  5. 5

    20 pupils: 12 do football, 9 do chess, 4 do both. Football only = 12 − 4 = 8. Chess only = 9 − 4 = 5. Neither = 20 − (8 + 4 + 5) = 3.

  6. 6

    15 people: 8 like tea, 7 like coffee, 3 like both. How many like tea only?

  7. 7

    What does A′ (A prime) mean?

Practise Venn diagrams and set notation with Whizlo

Free AI-tutored lessons, unlimited practice questions, and progress tracking for ages 13–16. Aligned to the UK National Curriculum.