Math Practice Problems - Intersection and Union

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.

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Complexity=1

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

1. R = {2, 8, 9} S = {}

R ∩ S = {}
R ∪ S = {}

2. H = {2, 6, 7, 8, 9} I = {6, 8, 9, 10}

H ∪ I = {}
H ∩ I = {}

Complexity=2

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

1. F = {-2, 2, 8, 9, 10} G = {-2, -1, 1, 3, 5, 9}

F ∪ G = {}
F ∩ G = {}

2. B = {-5, -2, -1, 0, 4} C = {-4, -3, 8, 9}

B ∪ C = {}
B ∩ C = {}

Complexity=3

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

1. X = {-4, -1, 3, 8} Y is the set of negative odd numbers.

X ∩ Y = {}

2. F = {-4, -2, 1, 2, 4, 6} G is the set of positive odd numbers.

F ∩ G = {}

Answers

Complexity=1

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

Problem

Correct Answer

Your Answer

R = {2, 8, 9} S = {}

R ∩ S = {}
R ∪ S = {}

Solution
R ∩ S = the set of members that are common in both sets R and S

Since S is an empty set, R and S have no common members.

R ∪ S = the set of all members set R and all members of set S

#	Problem	Correct Answer	Your Answer
2	H = {2, 6, 7, 8, 9} I = {6, 8, 9, 10}	H ∪ I = {} H ∩ I = {}
Solution H ∪ I = the set of all members set H and all members of set I H ∩ I = the set of members that are common in both sets H and I

Complexity=2

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

#	Problem	Correct Answer	Your Answer
1	F = {-2, 2, 8, 9, 10} G = {-2, -1, 1, 3, 5, 9}	F ∪ G = {} F ∩ G = {}
Solution F ∪ G = the set of all members set F and all members of set G F ∩ G = the set of members that are common in both sets F and G

#	Problem	Correct Answer	Your Answer
2	B = {-5, -2, -1, 0, 4} C = {-4, -3, 8, 9}	B ∪ C = {} B ∩ C = {}
Solution B ∪ C = the set of all members set B and all members of set C B ∩ C = the set of members that are common in both sets B and C

Complexity=3

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

#	Problem	Correct Answer	Your Answer
1	X = {-4, -1, 3, 8} Y is the set of negative odd numbers.	X ∩ Y = {}
Solution X ∩ Y = the set of members that are common in both sets X and Y Since Y includes all negative odd numbers, X ∩ Y is the set of negative odd numbers in X.

#	Problem	Correct Answer	Your Answer
2	F = {-4, -2, 1, 2, 4, 6} G is the set of positive odd numbers.	F ∩ G = {}
Solution F ∩ G = the set of members that are common in both sets F and G Since G includes all positive odd numbers, F ∩ G is the set of positive odd numbers in F.

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