WorksheetsExploring Sets and Venn Diagrams
Total questions: 15
Worksheet time: 8mins
Construct a Venn diagram for the sets A = {1, 2, 3}, B = {2, 3, 4}, and C = {3, 4, 5}.
A = {1, 3}, B = {2, 4}, C = {3, 5}, A ∩ B = {3}, A ∩ C = {1}, B ∩ C = {4}, A ∩ B ∩ C = {1, 3}
A = {1, 2}, B = {2, 3}, C = {3, 4}, A ∩ B = {1}, A ∩ C = {1, 2}, B ∩ C = {2, 3}, A ∩ B ∩ C = {}
A = {2}, B = {3}, C = {4}, A ∩ B = {1}, A ∩ C = {2}, B ∩ C = {4}, A ∩ B ∩ C = {2}
A = {1}, B = {4}, C = {5}, A ∩ B = {2, 3}, A ∩ C = {3}, B ∩ C = {3, 4}, A ∩ B ∩ C = {3}
If A = {x | x is an even number less than 10} and B = {x | x is a prime number less than 10}, list the elements of A ∩ B.
[3, 5]
[6, 8]
[2]
[4]
In a class of 30 students, 18 study Mathematics, 15 study Physics, and 10 study both. How many students study only Mathematics?
10
12
5
8
Using set notation, express the union of the sets A = {a, b, c} and B = {b, c, d}.
{b, c, d}
{a, b, c, d}
{a, b, c}
{a, c, d}
A survey shows that 60% of people like coffee, 50% like tea, and 30% like both. What percentage of people like either coffee or tea?
80%
90%
70%
50%
Draw a Venn diagram to represent the relationship between the sets of students who play soccer, basketball, and both.
A pie chart representing the total number of students playing sports.
A Venn diagram with one circle for soccer, one for basketball, and an overlapping area for students who play both.
A Venn diagram with two circles for soccer and basketball only.
A bar graph showing the number of students in each sport.
If A = {1, 2, 3, 4} and B = {3, 4, 5, 6}, what is A ∪ B?
{1, 2, 3, 4, 5, 6}
{1, 2, 3}
{2, 4, 6}
{3, 4, 5}
Solve the word problem: In a group of 50 people, 20 like chocolate, 25 like vanilla, and 10 like both. How many like only chocolate?
10
15
5
20
Using set notation, express the difference of the sets A = {x | x is a natural number} and B = {x | x is an even number}.
{x | x is a natural number and x is prime}
{x | x is a natural number and x is even}
{x | x is a whole number and x is odd}
{x | x is a natural number and x is odd}
Create a Venn diagram for the sets X = {a, b, c, d} and Y = {c, d, e, f}.
Venn diagram with X: {a, b, c}, Y: {d, e, f}, intersection: {d, e}
Venn diagram with X: {a, b, c, d}, Y: {c, d, e, f}, intersection: {c, d}
Venn diagram with X: {a, b, c, d}, Y: {a, b, e, f}, intersection: {}
Venn diagram with X: {a, b}, Y: {c, d, e, f}, intersection: {c}
If the universal set U = {1, 2, 3, 4, 5, 6, 7, 8} and A = {2, 4, 6}, what is the complement of A?
{1, 3, 5, 7, 8}
{4, 5, 6, 7}
{1, 2, 3, 4}
{2, 3, 5, 6}
In a survey, 40 people own a car, 25 own a bike, and 10 own both. How many own only a car?
15
30
20
35
Using set notation, express the intersection of the sets P = {x | x is a multiple of 3} and Q = {x | x is a multiple of 5}.
{x | x is a multiple of 6}
{x | x is a multiple of 15}
{x | x is a multiple of 5}
{x | x is a multiple of 10}
Draw a Venn diagram to illustrate the relationship between students who study French, Spanish, and both.
A bar graph showing the number of students in each language.
A line graph depicting language study trends over time.
A pie chart comparing French and Spanish students.
A Venn diagram with two overlapping circles, one for French and one for Spanish, showing the intersection for students studying both.
If A = {x | x is a letter in the word 'apple'} and B = {x | x is a letter in the word 'orange'}, what is A ∩ B?
{a, n}
{p, o}
{l, e}
{a, e}
