Set Theory Quizzes, Questions & Answers

All Grades

Set Notation Quizzes

Are You a Sets Expert? Take the Sets Quiz Now

The Sets Quiz is designed to help students master the fundamental concepts of sets in mathematics. With questions covering unions, intersections, subsets, and complements, this qui...

Questions: 10 | Attempts: 27849 | Last updated: Oct 08, 2025

Sample Question
If A = {1, 5, 3, 7, 9} and B = {2, 3, 4, 5, 6}, what is A ∩ B?

{ 1,5,3,7,9}

{2,3,4,5,6}

{ 3, 5}

None of these

Sets - Notation and Theory

This quiz will evaluate your knowledge of sets. Please provide your name and school initials

Questions: 11 | Attempts: 745 | Last updated: Mar 21, 2025

Sample Question
Match the sets below with their corresponding descriptions.

A subset of the universal set

A, B, C, and N

The Universal Set

M

MAT 142 College Mathematics Exam: Quiz!

This MAT 142 College Mathematics Exam tests knowledge on sets, number theory, and logical reasoning through varied questions.

Questions: 84 | Attempts: 695 | Last updated: Jul 22, 2025

Sample Question
Five runners (Andy, Beth, Dale, Ella, and Tri) are in a one-mile race. Beth finished 3 seconds before Dale. Dale finished 7 seconds after Andy. Andy finished 5 seconds after Tri. Tri finished 3 seconds before Ella. Who finished in second place?

Andy

Beth

Dale

Ella

All Set Notation Quizzes

Venn Diagrams Quizzes

Venn Diagram and Operation on Sets

Are you a math geek or consider yourself to be one? What do you know about this aspect in mathematics? Take this quiz to find out.

Questions: 10 | Attempts: 3752 | Last updated: Mar 21, 2025

Sample Question
A venn diagram is also called a

Graph

Circle

Set diagram

Figure

Quiz - Math - Feb 7 and 8

This quiz, titled 'Quiz - Math - Feb 7 and 8', assesses students' understanding of data representation through Venn diagrams. It covers preferences in movies, desserts, and coffee ...

Questions: 10 | Attempts: 557 | Last updated: Mar 21, 2025

Sample Question
Keisha surveyed the students in her algebra class to find out what types of movies they prefer, action/adventure or comedy. The results are shown in the Venn diagram. Suppose she surveyed 35 students. How many students prefer only action/adventure?

5

8

23

27

Quiz - Math - Feb 9 and 10

This quiz titled 'Quiz - Math - Feb 9 and 10' assesses understanding in data analysis through problems involving Venn diagrams, preferences, and transportation modes. It tests skil...

Questions: 10 | Attempts: 260 | Last updated: Mar 22, 2025

Sample Question
Kevin surveyed 60 people to find out their travel preferences. Out of the people surveyed, 53 prefer to travel by plane, 22 prefer to travel by train, and 15 prefer both. How many like to travel by plane but not by train?

31

7

45

38

All Venn Diagrams Quizzes

Union And Intersection Quizzes

Set Theory → Union and Intersection

Ready for the next step in set operations? This quiz takes you deeper into unions and intersections, with problems that go beyond the basics. Take this quiz to strengthen your conf...

Questions: 10 | Attempts: 19 | Last updated: Dec 10, 2025

Sample Question
Given A = {1, 3, 5}, B = {2, 3, 4}, find A ∩ B′ if U = {1, 2, 3, 4, 5}.

{1, 5}

{2, 4}

{3}

{1, 2, 5}

Identifying Unions and Intersections (Basic)

Sets can overlap or stay separate—but do you know how to tell the difference? In this quiz, you’ll practice identifying unions and intersections, building a clear under...

Questions: 10 | Attempts: 12 | Last updated: Dec 10, 2025

Sample Question
A = {1, 2, 3, 4}, B = {3, 4, 5, 6}. Find A ∪ B.

{1, 2, 3, 4, 5, 6}

{1, 2, 3, 4}

{3, 4, 5, 6}

{1, 2, 5, 6}

Set Theory → Union and Intersection (Intermediate)

Set problems can get trickier when multiple groups overlap. In this quiz, you’ll tackle intermediate-level union and intersection problems, reinforcing accuracy and logical r...

Questions: 10 | Attempts: 12 | Last updated: Dec 10, 2025

Sample Question
Given A = {1, 2, 3}, B = {3, 4}, find (A ∪ B)′ if U = {1, 2, 3, 4, 5}.

{5}

{1}

{2, 5}

{3, 4}

All Union And Intersection Quizzes

Subsets And Power Sets Quizzes

THE OFFICIALs MTH101 CBT practice

This is a set up practice question by Oyewole Kolawole David, a student of Mechatronics Engineering department.

Questions: 25 | Attempts: 6928 | Last updated: Jan 08, 2025

Sample Question
Let the U = {1,2,3,4,5,6,7,8,9}. And A={1,2,3,4}, B={1,3,5,7} , C={3,7,9} . Find (A U B U C)"

{6,8}

{5,7,9}

{2,4,6,8}

{3}

Pre-test for Grade 7 Mathematics

Designed with K to 12 Curriculum in mind. Prepared by: William Mhae F. Co

Questions: 20 | Attempts: 3540 | Last updated: Oct 22, 2025

Sample Question
What is the cardinality of the empty set?

1

2

Infinite

Identifying Subsets & Power Sets (Intermediate)

As sets grow, so do their subsets! In this quiz, you’ll handle larger sets and more complex power set problems. Take this quiz to practice careful counting and precise set or...

Questions: 10 | Attempts: 23 | Last updated: Dec 10, 2025

Sample Question
How many subsets does a 6-element set have?

64

36

32

128

All Subsets And Power Sets Quizzes

Complements And Differences Quizzes

Set Theory → Complements & Differences

What’s in one set but not the other? Complements and differences reveal those hidden details. In this quiz, you’ll practice applying these operations to different scena...

Questions: 10 | Attempts: 12 | Last updated: Dec 10, 2025

Sample Question
If U={1,2,3,4,5,6} and A={1,2,3}, find A′.

{4,5,6}

{1,2,3}

{1,4,6}

∅

Mastering Complements and Differences in Sets

Ever wonder what’s outside a set or what’s left over when you subtract one set from another? Complements and differences are key tools in set theory that help describe ...

Questions: 10 | Attempts: 11 | Last updated: Dec 10, 2025

Sample Question
If U={1,2,3,4,5,6}, A={2,4,6}, find A′−A.

{1,3,5}

{2,4,6}

{3,5}

∅

Applying Complements and Differences in Set Problems

What happens when sets overlap, exclude, or leave behind certain elements? Complements and differences are the tools mathematicians use to sort it all out. In this quiz, you’...

Questions: 10 | Attempts: 10 | Last updated: Dec 10, 2025

Sample Question
If U has n elements and A has k elements, how many elements are in A′?

N

K

N − k

N + k

All Complements And Differences Quizzes

Cartesian Products Quizzes

Advanced Properties, Cardinalities, and Model-Based Reasoning with Products

In this quiz, you’ll treat Cartesian products as full-fledged mathematical objects, not just pictures or tables. You’ll analyze when products of sets are disjoint, reas...

Questions: 15 | Attempts: 14 | Last updated: Dec 12, 2025

Sample Question
If A × B ⊆ A × C what can be inferred about B and C when A nonempty?

B ⊆ C

C ⊆ B

B = C

No relation

Basics of Cartesian Products and Ordered Pairs

Curious how sets turn into grids of coordinates? In this quiz, you’ll get comfortable with the definition of a Cartesian product and what it means for an ordered pair to belo...

Questions: 16 | Attempts: 11 | Last updated: Dec 12, 2025

Sample Question
What is A × B by definition?

{x | x ∊ A and x ∊ B}

{a ∪ b | a∊A,b∊B}

{(a,b) | a ∊ A and b ∊ B}

{a ∩ b | a∊A,b∊B}

Cartesian Products Quiz: Build and Analyze Ordered Pair Sets

Cartesian products let you pair elements in surprisingly flexible ways, and this cartesian products quiz gives you a hands-on look at how they work. You’ll build ordered pair...

Questions: 20 | Attempts: 10 | Last updated: Dec 17, 2025

Sample Question
If A × B ⊆ A × C and A is nonempty, what must hold between B and C?

B ⊆ C

C ⊆ B

B = C

No relation

All Cartesian Products Quizzes

Countable Sets Quizzes

Cardinality, ℵ₀, and Cantor’s Diagonal Argument Quiz

Ready to compare different infinities? This quiz focuses on cardinality symbols like ℵ₀ and 2^ℵ₀, and how they classify sets such as ℕ, ℚ, ℝ, P(ℕ), and ...

Questions: 17 | Attempts: 13 | Last updated: Dec 19, 2025

Sample Question
The cardinality of a countably infinite set is denoted by:

N

∞

ℵ₀ (aleph-null)

C

Countable Sets Quiz: Compare Countable and Uncountable Sets

Infinity becomes much more interesting once you start comparing its sizes. This countable sets quiz guides you through the difference between countable and uncountable sets in a wa...

Questions: 20 | Attempts: 10 | Last updated: Dec 17, 2025

Sample Question
Which of the following sets is a standard example of a countably infinite set?

The integers ℤ

The real numbers ℝ

The interval (0,1)

The power set P(ℕ)

Unions, Products, and Constructions of Countable Sets Quiz

How do countable sets behave under common set operations? This quiz explores what happens when you take subsets, unions, Cartesian products, power sets, and structured collections ...

Questions: 17 | Attempts: 10 | Last updated: Dec 19, 2025

Sample Question
If set A is countable, what can be said about any subset of A?

It is uncountable

It must be finite

It might be countable or uncountable

It is also countable

All Countable Sets Quizzes

Top Trending Set Theory Quizzes

Set Theory And Logic Quiz

Do you understand the concept of logic and set theory? Take this set theory quiz, and see how well you understand this concept. The process of derivation of properties is called logic. The general properties of sets and...

Questions: 10 | Attempts: 12112 | Last updated: Sep 1, 2025

Sample Question
A set is:

Collection of objects

Well-defined collection of objects

Elements of the set

Description

Collection

Copy Of Class 9 Maths Quiz

This 'Copy of Class 9 Maths Quiz' focuses on set theory, exploring basic concepts and definitions such as complements, universal sets, and well-defined collections. It assesses understanding and application of set theory...

Questions: 6 | Attempts: 238 | Last updated: Mar 7, 2025

Sample Question
What is the complement of the complement of set A?

A

U

U-A

A'

How Well Do You Know Haagerup Property?

Haagerup property is named after Uffe Haagerup and it can be considered a property of groups that strongly negates Kazhdan's property (T). The Haagerup property is common in a lot of mathematical fields. This includes...

Questions: 10 | Attempts: 131 | Last updated: Mar 22, 2025

Sample Question
What is the other name for Haagerup property?

Gromorov property

Kazhdan property

T-menability

Gromorov T-menability

Masters of 19th-Century European Art

Masters Of 19th-century European Art

Set Title One delves into the fundamentals of set theory within algebra, focusing on operations and properties essential for mathematical reasoning. This assessment aids learners in mastering set theory concepts, enhancing their...

Questions: 28 | Attempts: 11 | Last updated: Dec 1, 2025

Sample Question
Who created the painting 'The Republic' in 1848?

Monet

Van Gogh

Picasso

Daumier, The Republic, 1848, painting

Foundations of Discrete Mathematics: Sets, Functions, and Combinatorics

Foundations Of Discrete Mathematics: Sets, Functions, And Combinatorics

Explore the fundamentals of Discrete Mathematics with this focused quiz covering chapters 1 and 2. This educational tool assesses understanding of key concepts such as sets, functions, algorithms, and proofs, enhancing...

Questions: 8 | Attempts: 11 | Last updated: Oct 27, 2025

Sample Question
How many subsets can be formed from a set with n elements?

2^n

N^2

N-1

N!

Recent Set Theory Quizzes

How Much Do You Know About Restricted Representation

How Much Do You Know About Restricted representation

In mathematics, there's a thing called restricted representation. It is described as the construction in the representation of groups. In other words, these representations supposedly form a representation of a whole...

Questions: 10 | Attempts: 128 | Last updated: Mar 22, 2025

Sample Question
What's explicit symmetry breaking?

It's the breaking of a symmetry of a theory by terms in its defining equations of motion that do not respect the symmetry.

It's the breaking of a shape by terms in its defining equations of motion that do not respect the symmetry.

It's the breaking of a symmetry of a theory by terms in its defining equations of motion that do not respect the theory.

It's the breaking of a symmetry of a calculations by terms in its defining equations of motion that do not respect the symmetry.

Set Theory Quizzes, Questions & Answers

Popular Set Theory Topics

Set Notation Quizzes

Venn Diagrams Quizzes

Union And Intersection Quizzes

Subsets And Power Sets Quizzes

Complements And Differences Quizzes

Cartesian Products Quizzes

Countable Sets Quizzes

Top Trending Set Theory Quizzes

Recent Set Theory Quizzes