PSAT Math - Venn Diagrams

1

$Set\ A=\left { 2,4,6,8,10,12 \right }$ and $Set\ B=\left { 5,6,7,8,9 \right }$ .

Find $A\bigcap B$ .

2

$Set\ A=\left { 2,4,6,8,10,12 \right }$ and $Set\ B=\left { 5,6,7,8,9 \right }$ .

Find $A\bigcap B$ .

3

100 students are in the 10th grade class. 30 are swimmers, 40 are runners, and 20 are swimmers and runners. What is the probability that a student is a swimmer OR a runner?

4

100 students are in the 10th grade class. 30 are swimmers, 40 are runners, and 20 are swimmers and runners. What is the probability that a student is a swimmer OR a runner?

5

We have two sports clubs offered to a class of 100 students. 70 students joined the basketball club, 40 students joined the swimming club, and 10 students joined neither. How many students joined both the swimming club and the basketball club?

6

Set A contains the positive even integers less than 14. Set B contains the positive multiples of three less than 20. What is the intersection of the two sets?

7

Set A contains the positive even integers less than 14. Set B contains the positive multiples of three less than 20. What is the intersection of the two sets?

8

We have two sports clubs offered to a class of 100 students. 70 students joined the basketball club, 40 students joined the swimming club, and 10 students joined neither. How many students joined both the swimming club and the basketball club?

9

The universal set is positive counting numbers less than 11. Set A = {1, 3, 5} and Set B = { 2, 4, 6}.

What is $(A'\bigcap B)\bigcup(A\bigcap B')$ ?

10

In a class of senior high-school students, have pet cats, have pet dogs, have both cats and dogs, and have neither cats nor dogs. How many total students are in the class?

Venn Diagrams

Practice Questions