Set Theory Part 2 Quiz

Set Theory Part 2 might sound like a topic straight from the math classroom, but it’s rooted in some surprising ideas. Did you know that early logicians struggled to agree on what counts as a “set”? In fact, the ancient Greeks debated whether the concept of infinity could even be part of mathematics. It wasn’t until centuries later that set theory helped make sense of ideas like finite and infinite sets. This quiz on sets takes you through basic set theory questions without overwhelming jargon. You’ll find examples like how to combine sets, what happens when they overlap, and get a feel for what is the cardinality of an empty set.

Set Theory Part 2

The set of all prime numbers is an example of what type of set?

Finite set

Proper subset

Infinite set

Empty set

If set A is the set of all odd numbers and set B is the set of all even numbers, what is A∩B?

The empty set

The set of all natural numbers

The set of all integers

The set of all integers greater than 0.

If A={a, b, c} and B={b, c, d}, what is the set difference A−B?

{a, d}

{b, c}

{d}

{a}

How many subsets can be formed from the set A={1, 2, 3}?

If set A is the set of all students in your school, and set B is the set of all 9th graders in your school, what is the relationship between set A and set B?

Set A is a subset of set B

Set B is the universal set of set A

Set A and set B are disjoint sets

Set B is a subset of set A

What is the intersection of the set of all natural numbers and the set of all negative numbers?

Empty set

The set of all real numbers

The set of all integers

The set of all non-negative integers

The set of days in a week is a:

Infinite set

Empty set

Finite set

Universal set

{ x | x is a month with 30 days }?

{April, June, September, November}

{April, May, June}

{January, February, March, April}

{April, June, October, November}

What is the cardinality of the empty set?

Undefined

Infinity

If set A is the set of all students who play football and set B is the set of all students who play basketball, what does A∩B represent?

Students who play football but not basketball

Students who play both football and basketball

Students who play football or basketball

Students who play neither football nor basketball

Your score is

The average score is 77%

Sample Questions from This Quiz

The set of all prime numbers is an example of what type of set?
If set A is the set of all odd numbers and set B is the set of all even numbers, what is A∩B?
If A={a, b, c} and B={b, c, d}, what is the set difference A−B?
How many subsets can be formed from the set A={1, 2, 3}?
What is the intersection of the set of all natural numbers and the set of all negative numbers?

Try the full quiz and see how many of these you can answer!