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Math set numbers

Total questions: 39

Worksheet time: 44mins

Name
Class
Date
1.
X ∩ Y ∩ Z
a)
{ }
b)
{Phillip}
c)
{Billy, Phillip, Bryan, Perez}
d)
{Billy, Perez, Bryan}
2.

(A∪B)′\left(A\cup B\right)'  

a)

{1,2,3,4,5,7,8}

b)

{1,3,4,8}

c)

{1,3,4,5,7,8}

d)

{5,7}

3.

(A∩B)′\left(A\cap B\right)'  

a)

{1,2,3,4,5,7,8}

b)

{1,3,4,8}

c)

{1,3,4,5,7,8}

d)

{5,7}

4.

Which of the following operations on sets describe the given Venn diagram?

a)

A′−B′A'-B'

b)

(A∪B)′\left(A\cup B\right)'

c)

A′∪B′A'\cup B'

d)


(A∩B)′\left(A\cap B\right)'

5.

It is given that the universal set, ξ = {x : x is an integer, 1≤x≤101\le x\le10  }, set P = {x : x is an odd number} and
set Q = {x : x is a prime number}. List the elements of P∩QP\cap Q . 

a)

{1, 3, 5, 7, 9}

b)

{2, 3, 5, 7}

c)

{3, 5, 7}

d)

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

6.

Given that A={@,#,$,%,^,&}, what is n(A)?

a)

6

b)

5

c)

4

d)

infinite

7.

If A= {10,20,30,40},B={20,40,60} and C = {10,20,40,60,80}, find A Ո B Ո C

a)

{20,40}

b)

{20,40,60}

c)

{10,20,30,40,50,60,80}

d)

{10,20,30,...}

8.

How do you write "the complement of A"?

a)

n(A)

b)

(A)

c)

∀\forall

d)

A'

9.

Which of the following is the symbol for null set?

a)

∅

b)

⊂\subset  

c)

∈\in  

d)

⊄\not\subset  

10.

Which set is equivalent to

B = {x ∈ N| x is a multiple of 5 between 5 &19}

a)

L= {5,10,15}

b)

M= {shake, rattle, roll}

c)

A= {x ∈ N| 5<x<19}

d)

O= {x | x is a vowel in the word positivity}

11.

Which of the following is a finite set?

a)

J = {x ∈ N | x is a factor of 35}

b)

U = {x ∈ N|x is a multiple of 15}

c)

D = {x ∈N|x is a divisible by 7}

d)

Y= {x ∈ Q|x is a factor of 3}

12.

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}

13.

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}

14.

If

P = {0, 1, 2, 3, 4}, Q = {4, 6, 8}

R = {6, 12, 18} Then what is (P ∩ Q) ∪ (Q ∩ R)?

a)

{4}

b)

{4, 6}

c)

{4, 6, 8}

d)

{1, 2, 3, 4, 6, 8}

15.

Find n(A) when

A = {14, 16, 18, 20, 22, 24}

a)

6

b)

4

c)

12

d)

even numbers

16.
a)
P' ∪ R' ∪ Q
b)
( P ∪ R )' ∩ Q
c)
Q ∩ ( P ∩ R )'
d)
R' ∩ Q' ∩ P'
17.
Given that
set  V = { m, n, o, p },
find the number of subsets  V.
a)
16
b)
12
c)
10
d)
8
18.

For the given sets A and B, which statement is true?

a)

A ⊂ B

b)

B ⊂ A

c)

A = B

d)

A' = B

19.
Is the relation a function? Why.
a)
Yes, because the x-value 11 has two y-values pair with it.
b)
Yes, because each x-value has only one y-value paired with it.
c)
No, because the x-value 11 has two y-values pair with it.
d)
No, because each x-value has only one y-value paired with it.
20.
Which relation is NOT a function?
a)
{(1,-5), (3,1), (-5,4), (4,-2)}
b)
{(2,7), (3,7), (4,7), (5,8)}
c)
{(1,-5), (-1,6), (1,5), (6,-3)}
d)
{(3,-2), (5,-6), (7,7), (8,8)}
21.

It is an operation on sets that contains elements belong to set A, but do not belong to set B.

a)

Complement of a Set

b)

Difference of Two Sets

c)

Intersection of Sets

d)

Union Sets

22.
Which of the following represents the shaded region?
a)
(A ⋃ B)'
b)
(A ∩ B)'
c)
A'
d)
B'
23.
What statement does the shaded region represent?
a)
A ∩ B ∩ C
b)
A  ∪ B ∩ C
c)
B ∩ C
d)
A ∪ C
24.
What statement does the shaded region represent?
a)
A or B and C
b)
Not C
c)
A or B
d)
B and C or A
25.
What statement does the shaded region represent?
a)
A and B and C
b)
A or B and C
c)
B and C
d)
A or C
26.
What does the shaded region of the Venn diagram represent?
a)
P or S
b)
Only P or S
c)
P and S
d)
Only P and S
27.
How many students do not snowboard?
a)
21
b)
22
c)
28
d)
29
28.
How many students do not ski or ice skate?
a)
10
b)
16
c)
22
d)
28
29.
From the above Venn diagram, what is the set S' ? Look at ALL of the Universal set called "U."
a)
{casey, drew}
b)
{blair, francis, glen, jade}
c)
{blair, erin, francis, ira}
d)
{jade, glen, blair, erin, francis, ira}
30.
From the above Venn diagram, what is the set (S ∪  T) ∩ V?
a)
{casey, drew, jade, glen}
b)
{alex, glen, hunter, jade}
c)
{casey, drew, glen}
d)
{drew, jade}
31.
From the above Venn diagram, what is the set S ∩ T?
a)
{casey, drew, jade, glen}
b)
{alex, casey, drew,hunter}
c)
{casey, drew}
d)
{drew, jade}
32.
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}
33.

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}

34.

Which of the following statements are true for the Venn diagram shown?

a)

A ∩ B = ⊘

b)

A ⋃ B = ⊘

c)

A ⋃ B = A

d)

A ⋂ B = A

35.

Suppose p is the statement 'There are 1,000 meters in one kilometer' and q is the statement 'You will give me a cake.' Select the correct symbolization for the statement 'There are 1,000 meters in one kilometer or you will not give me a cake'.

a)

~(p ∧ q)

b)

p ∧ ~q

c)

p ∨ ~q

d)

None of these

36.

What are the truth values for this statement?   p ∨\vee ~q

a)

{T, T, F, T}

b)

{F, F, T, F}

c)

{F, T, F, F}

d)

None of the above.

37.

What are the truth values for this statement?    ~p ∧\wedge   q

 

a)

{T, F, F, F}

b)

{F, T, T, T}

c)

{F, F, T, F}

d)

None of the above

38.

Find the answer

(a)  

39.

1x1 = 11

11x11 = 121

111x111 = 12321

1111x1111 = 1234321

11111x11111 = 123454321

111111x111111 = ?

(a)  

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