IGCSE Maths: Set Theory

Overview

Set Theory uses Venn diagrams to represent relationships between groups. It connects with probability and number topics. Most students find this topic accessible once they master the notation.

Core Syllabus Topics

• Set notation (∈, ∉, ∪, ∩, ⊂)
• Venn diagrams (two sets)
• Universal set and complement
• Listing elements of sets

Extended Syllabus Topics

• Three-set Venn diagrams
• Set builder notation
• Number of elements n(A)
• Problems involving three overlapping sets
• Connecting sets with probability

Common Mistakes to Avoid

• Confusing union (∪) and intersection (∩)
• Double-counting elements in overlapping regions
• Forgetting elements outside all sets but inside universal set
• Misinterpreting complement notation A'