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sets

Total questions: 16

Worksheet time: 36mins

Name
Class
Date
1.
The image represents which of the following?
a)
intersection, "and"
b)
union, "or"
c)
intersection, "or"
d)
union, "and"
2.
The image represents which of the following?
a)
intersection, "and"
b)
intersection, "or"
c)
union, "and"
d)
union, "or"
3.
Let A={1, 3, 4} and B={x|x is an even whole number less than 9}. Find A U B
a)
{1, 3, 4}
b)
{1, 2, 3, 4, 6,8}
c)
{1, 2, 3, 4, 5, 6, 7, 8}
4.
Which of the following represents the shaded region?
a)
A union B
b)
A intersect B
c)
A ⊂ B
d)
B ⊂ A
5.
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
6.
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
7.
If A = {1, 2, 3, 4, 5, 6} and B = {1, 2, 3, 5, 7, 9} What is A ⋂ B?
a)
{1, 2, 3, 4, 5, 6, 7, 9}
b)
{1, 2, 3, 5}
c)
{4, 6, 7, 9}
d)
{ }
8.
Determine the number of people who participated in weight-training (W) and cardio (C).
a)
15
b)
54
c)
69
d)
75
9.
If A = {1, 2, 3, 4, 5, 6}, B = {1, 2, 3, 5, 7, 9} and C = {3, 5, 6, 7, 8, 9}, what is (A ⋃ B) ⋂ (B ⋃ C)?
a)
{1, 2, 3, 4, 5, 6, 7, 9}
b)
{1, 2, 3, 4, 5, 6, 7, 8, 9}
c)
{1, 2, 3, 5, 6, 7, 9}
d)
{ }
10.

List the elements of A Ո B

a)

{5,9}

b)

{2,3,7,6,8}

c)

{2,3,5,9,7,6,8}

d)

{1,4}

11.

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

a)

A ⊂ B

b)

B ⊂ A

c)

A = B

d)

A' = B

12.
Given that
R = { factors of  36 }. 
n(R) = 
a)
6
b)
9
c)
12
d)
15
13.
If every element in set A is also in set B, then...
a)
A is a subset of B
b)
B is a subset of A
c)
A = B
d)
A and B are disjoint
14.

A = {x : x is a letter in the word SEAT}

B = {x : x is a letter in the word TASTE}


Determine if these two sets are equal or equivalent.

a)

Not equal because seat has 4 letters and taste has 5 letters.

b)

Equivalent because they have the same letters

c)

Equal because each set has the same cardinality and the same letters.

15.

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}

16.

Set D is the set of the distinct letters in the word mathematics. Write the set using the Roster method.

a)

D = {m, a, t, h, e, m, a, t, i, c, s}

b)

D = {m, a, t, h}

c)

D = {m, a, t, h, e, i, c, s}

d)

D = {m, a, t, h, i, c, s}