Grade 8 ,Maths, Sets Worksheet

 This comprehensive worksheet introduces foundational concepts of set theory, aligning with Grade 8 curriculum objectives. Students learn to:

1. Identify well-defined sets (e.g., "months of the year" vs. "tall people"),

2. Use set notation (symbols ∈, ∉, ∅),

3. Express sets by listing unique elements in curly brackets (e.g., letters in "MAHARAGAMA" → {M, A, H, R, G}),

4. Calculate cardinality using 
   $n(A)$$n(\{1,3,5,7,9\})=5$

5. Recognize null sets (∅) and their properties (e.g., {whole numbers between 0 and 1} is ∅, with 
   $n(\text{∅})=0$

The worksheet emphasizes practical application through diverse exercises:

• Critical analysis of set validity (e.g., rejecting subjective sets like "beautiful flowers"),

• Symbol-based reasoning (e.g., "5 ∉ {2, 4, 6, 8}"),

• Real-world examples (e.g., provinces of Sri Lanka, days of the week),

• Problem-solving for cardinality (e.g., prime factors of 30 → 
  $n(Q)=3$

• Conceptual challenges (e.g., proving {integers with square = –1} is null).
  These activities build logical reasoning and precision in handling mathematical collections, preparing students for advanced topics like Venn diagrams and probability.