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Mathematics Worksheet

🗂️ Sets

Chapter: Discrete Mathematics · Level ★★★ · Time: 30 min
SCORE___ / 20
NameClassDate
After this worksheet you can
Find the union of two sets.Find the intersection of two sets.Test whether one set is a subset of another.Recognise the empty set and disjoint sets.
📚 Quick Recap

A set is simply a well-defined collection of distinct objects. Sets form the basic language used to describe and organize almost every other area of mathematics.

🧠 Section A · Concept Check ● BEGINNER 4 × 1 = 4

1A = {a,b,c}, B = {b,c,d}. A ∪ B = ?
2A = {a,b,c}, B = {b,c,d}. A ∩ B = ?
3Is {1,3,5} ⊆ {1,2,3,4,5}?
4Is {1,6} ⊆ {1,2,3,4,5}?

🧮 Section B · Problem Solving ● INTERMEDIATE 2 + 3×3 = 11

5The of two sets contains all their elements.
6The of two sets contains their common elements.
7Let A = {a,b,c}, B = {b,c,d}. Find A ∪ B.
8Let A = {a,b,c}, B = {b,c,d}. Find A ∩ B.
9Is {1,3,5} a subset of {1,2,3,4,5}?

🚀 Section C · Challenge ● CHALLENGE 5

10Is {1,6} a subset of {1,2,3,4,5}?
💭 Reflection — the most useful thing I learned:
A ___/4   B ___/11   C ___/5   Total ___/20 Teacher's Signature Parent's Signature
✂ answer key — fold or cut before handing out

1-A   2-A   3-A   4-B  |  5 union   6 intersection   7 = {a,b,c,d}   8 = {b,c}   9 = Yes  |  10 = No, 6 is not in the second set

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