Free Printable Set Theory

1.

Which one is set?

a)

A group of mammals

b)

A group of cute animals

c)

A group of scary animals

d)

A grup of big animals

2.

Which one is set?

a)

A group of clever students

b)

A group of kind students

c)

A group of students that get 80 in Math test

d)

A group of funny students

3.

If A = {1, 3, 5, 7, 9} and B = {2, 3, 5, 7}, what is A ∩ B?

a)

{3, 5, 7}

b)

{2, 3, 5, 7}

c)

{2, 3, 5, 7, 9}

d)

{1, 2, 3, 5, 7, 9}

4.

The Universal Set = { -4, 3, -2, -1, 0, 1, 2, 3 ,4} and A = {0}.
What is the complement of A?

a)

{-4, -3, -2, -1, 0, 1, 2, 3}

b)

{-3, -2, -1, 1, 2, 3}

c)

{-4, -3, -2, -1, 1, 2, 3, 4}

d)

{-4, -3, -2, -1, 1, 2, 3}

5.

If A = {1, 3, 5, 7, 9} and B = {2, 3, 5, 7}, what is A ∪ B?

a)

{3, 5, 7}

b)

{2, 3, 5, 7}

c)

{2, 3, 5, 7, 9}

d)

{1, 2, 3, 5, 7, 9}

6.

If

U (the universal set) = {1, 3, 5, 7, 9, 11, 13, 15, 17} and W = {5, 7, 9, 11}, then W' = . . ..

a)

{1, 3, 13, 15, 17}

b)

{1, 3}

c)

{2, 4, 6, 8, 10, 12, 14, 16}

d)

{1, 3, 5, 7, 9, 11, 13, 15, 17}

7.

What statement does the shaded region represent

a)

A or B

b)

Not A

c)

A and B

d)

Not B

8.

What does this symbol ( ∪ ) represent in set theory?

a)

Union

b)

Intersection

c)

Disjointed

d)

Subset

9.

What does this symbol ( ∩ ) represent in set theory?

a)

Union

b)

Intersection

c)

Disjointed

d)

Subset

10.

What type of set is denoted as either { } or ∅?

a)

Universal Set

b)

Empty (or Null) Set

c)

Disjointed Set

d)

Complement of a Set

11.

Given the following Venn diagram, let blue represent the students taking drama (D) and green represent the students taking math (M).

What is n(D ⋃ M)?

a)

5

b)

7

c)

2

d)

4

12.

Determine the number of people who participated in weight-training (W) and cardio (C).

a)

15

b)

54

c)

69

d)

75

13.

Determine n(W ⋂ C)'.

a)

6

b)

15

c)

54

d)

60

14.

How many senior boys play football and wrestle?

a)

9

b)

12

c)

18

d)

39

15.

Left Pocket (L) = {pencils, erasers, pens}
Right Pocket (R) = {gloves, paper, coins, phone}
What is L ∪ R?

a)

∅

b)

{pencils, erasers, pens}

c)

{gloves, paper, coins, phone}

d)

{pencils, erasers, pens, gloves, paper, coins, phone}

16.

Left Pocket (L) = {pencils, erasers, pens}
Right Pocket (R) = {gloves, paper, coins, phone}
What is L ∩ R?

a)

∅

b)

{pencils, erasers, pens}

c)

{gloves, paper, coins, phone}

d)

{pencils, erasers, pens, gloves, paper, coins, phone}

17.

Find $F\cap T$ if $F=\left\{f,\ a,\ c,\ e,\ b,\ o,\ k\right\}$ and $T=\left\{y,\ o,\ u,\ t,\ b,\ e\right\}$ .

a)

$F\cap T=\left\{f,\ a,\ c,\ e,\ b,\ o,\ k\right\}$

b)

$F\cap T=\left\{f,\ a,\ c,\ e,\ b,\ o,\ k,\ y,\ u,\ t\right\}$

c)

$F\cap T=\left\{b,\ e,\ o\right\}$

d)

$F\cap T=\left\{\ a,\ c,\ f,\ \ k\right\}$

18.

What does this symbol ( ∪ ) represent in set theory?

a)

Union

b)

Intersection

c)

Disjointed

d)

Subset

19.

What is the cardinal of the set, H = {w, o, n, d, e, r, f, u, l}

a)

10

b)

9

c)

8

d)

7

20.

{A, B, C, D, E, F, G, H, I, J, K, L, M}

a)

Roster Form

b)

Universal Form

c)

Set Builder Notation

d)

Equivalent Inequalities

Set Theory

Total questions: 20

Worksheet time: 55mins

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