MathScore EduFighter is one of the best math games on the Internet today. You can start playing for free!

Intersection and Union - Sample Math Practice Problems

The math problems below can be generated by MathScore.com, a math practice program for schools and individual families. References to complexity and mode refer to the overall difficulty of the problems as they appear in the main program. In the main program, all problems are automatically graded and the difficulty adapts dynamically based on performance. Answers to these sample questions appear at the bottom of the page. This page does not grade your responses.

Want unlimited math worksheets? Learn more about our online math practice software.
See some of our other supported math practice problems.

Complexity=1

Write answers in ascending order, separated by commas.  Example:  A = {-3, 1, 2, 5 }.

 1.   Y = {5, 8, 9, 10}     Z = {} Y  ∩ Z = {} Y ∪ Z = {} 2.   P = {1, 5, 6, 7, 8}     Q = {3, 4, 5, 8, 9} P ∪ Q = {} P  ∩ Q = {}

Complexity=2

Write answers in ascending order, separated by commas.  Example:  A = {-3, 1, 2, 5 }.

 1.   N = {-5, -4, 0, 6, 8}     O = {-4, 0, 8, 9} N  ∩ O = {} N ∪ O = {} 2.   P = {-3, -1, 7}     Q = {-3, 0, 1} P  ∩ Q = {} P ∪ Q = {}

Complexity=3

Write answers in ascending order, separated by commas.  Example:  A = {-3, 1, 2, 5 }.

 1.   V = {-2, 0, 4, 7, 9}     W is the set of odd numbers. V  ∩ W = {} 2.   O = {-4, -3, -2, 0, 3, 6}     P is the set of odd numbers. O  ∩ P = {}

Complexity=1

Write answers in ascending order, separated by commas.  Example:  A = {-3, 1, 2, 5 }.

1Y = {5, 8, 9, 10}     Z = {}

Y  ∩ Z = {}
YZ = {}
Solution
YZ = the set of members that are common in both sets Y and Z

Since Z is an empty set, Y and Z have no common members.

YZ = the set of all members set Y and all members of set Z

2P = {1, 5, 6, 7, 8}     Q = {3, 4, 5, 8, 9}

PQ = {}
P  ∩ Q = {}
Solution
PQ = the set of all members set P and all members of set Q

PQ = the set of members that are common in both sets P and Q

Complexity=2

Write answers in ascending order, separated by commas.  Example:  A = {-3, 1, 2, 5 }.

1N = {-5, -4, 0, 6, 8}     O = {-4, 0, 8, 9}

N  ∩ O = {}
NO = {}
Solution
NO = the set of members that are common in both sets N and O

NO = the set of all members set N and all members of set O

2P = {-3, -1, 7}     Q = {-3, 0, 1}

P  ∩ Q = {}
PQ = {}
Solution
PQ = the set of members that are common in both sets P and Q

PQ = the set of all members set P and all members of set Q

Complexity=3

Write answers in ascending order, separated by commas.  Example:  A = {-3, 1, 2, 5 }.

1V = {-2, 0, 4, 7, 9}     W is the set of odd numbers.

V  ∩ W = {}
Solution
VW = the set of members that are common in both sets V and W
Since W includes all odd numbers, VW is the set of odd numbers in V.