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Worksheets

Sets, Venn Diagram

Total questions: 33

Worksheet time: 1hrs 6mins

Name
Class
Date
1.
How many senior boys play football and wrestle?
a)
9
b)
12
c)
18
d)
39
2.

Set S' is the complement of a set S

Identify the shaded area...

a)

A

b)

B

c)

A'

d)

B'

3.

Identify the shaded area...

a)

A∩B

b)

A∪B

c)

A'∩B'

d)

A'∪B'

4.
Numbers like -3, -2, -1, 0, 1, 2, 3 are called
a)
whole numbers
b)
integers
c)
rational numbers
d)
natural numbers
5.

Identify the shaded area...

a)

A∩B

b)

A∪B

c)

A'∩B'

d)

A'∪B'

6.

Set A' is the complement of a set A

What statement does the shaded region represent?

a)
A' ∩ B
b)
A ∩ B'
c)
A ∩ B
d)
A' ∩ B'
7.
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
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 does this symbol ( ⊆ ) represent in set theory?
a)
Union
b)
Intersection
c)
Disjointed
d)
Subset
11.
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}
12.

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}

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.

CHOOSE THE BEST ANSWER.

Given Sets A and B, which of the following diagram below illustrates  A-B?          





                    

a)
b)
c)
d)
15.

CHOOSE THE BEST ANSWER.

Given D = { a, b, c, d, e, f, g, h }, E = { g, h, i, j, k } and F = { g, h }. What is the result of E – F ?

a)

A.  θ\theta  

b)

B. { i, j, k }

c)

C. { g, h, i, j, k }

d)

D. { a, b, c, d, e, f }

16.

How many subsets will this set have? S = {a,b,c,d} ?

a)

8

b)

15

c)

16

d)

24

e)

32

17.

Which is the correct set notation for the complement of A⋃B ?

a)

{12, 14, 15, 18, 21}

b)

{10, 11, 12, 14, 15, 18, 21}

c)

{10, 11, 13, 16, 17, 19, 20}

d)

{12, 14, 15}

18.
How many senior boys play football but do not wrestle?
a)
9
b)
12
c)
18
d)
104
19.

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}

20.

This quarter, a survey of 100 students at a local college finds the following:

50 take math; 40 take English; 30 take history; 15 take English and math; 10 take English and history; 10 take math and history; 5 take all three subjects.

The number of students taking math but not the other two subjects is..

a)

30

b)

60

c)

10

d)

100

21.

This quarter, a survey of 100 students at a local college finds the following:

50 take math; 40 take English; 30 take history; 15 take English and math; 10 take English and history; 10 take math and history; 5 take all three subjects.

The number of students taking English or math, but not history is ...

a)

30

b)

60

c)

10

d)

100

22.

This quarter, a survey of 100 students at a local college finds the following:

50 take math; 40 take English; 30 take history; 15 take English and math; 10 take English and history; 10 take math and history; 5 take all three subjects.

The number of students taking none of these subjects is...

a)

30

b)

60

c)

10

d)

100

23.

Set of factors of 12 is

a)

{ 1,2,3,4,5}

b)

{2,3,4}

c)

{1,2,3,4,6,12}

d)

{1,3,5,7}

24.

Two sets A and B are said to be equal, written A = B, if and only if A and B contain

exactly the same elements. Determine whether the stated equality is true or false:

{1, 2, 3} = {3, 2, 1}

a)

True

b)

False

25.

Two sets A and B are said to be equal, written A = B, if and only if A and B contain

exactly the same elements. Determine whether the stated equality is true or false:

{2, 3, 4} = {4, 3, 2, 1}

a)

True

b)

False

26.

When listing the elements of a set between curly braces, it is important to understand that neither order nor repetition matters. For example, {2, 4, 1, 3, 5} = {1, 2, 3, 4, 5} and {−1, 0, −1, 1, 0} = {−1, 0, 1}. Determine whether the stated equality is true or false: {1, 2, 3, 2} = {1, 2, 3}

a)

True

b)

False

27.

Determine whether the stated equality is true or false:

{2, 2, 2, 2} = {2, 2}

a)

True

b)

False

28.

Determine whether the stated equality is true or false:

{2} ⊆ {1, 2, 3}.

a)

True

b)

False

29.

Determine whether the stated equality is true or false:

N ∈ Z.

a)

True

b)

False

30.

How many 4 digit numbers start or end with even digit?

(a)  

31.

UMC5 club has 25 members, of which 5 students have no siblings, 15 have a brother, 12 have a sister. How many UMC5 members have both brother and sister?

UMC5 club có 25 thành viên, trong đó có 5 bạn là con một trong gia đình, 15 bạn có anh trai, 12 bạn có chị gái. Hỏi có bao nhiêu bạn UMC5 có cả anh trai và chị gái?



(a)  

32.

How many positive integers less than 1000 are divisible by neither 2,3 nor 5?

Có bao nhiêu số nguyên dương nhỏ hơn 1000 mà không chia hết cho cả ba số 2,3 và 5?

(a)  

33.

How many subsets of the set A={1, 2, 3, 4, . . . , 10} have the property that the sum of their elements is greater than 27?

Có bao nhiêu tập con của tập A={1, 2, 3, 4 ,. . . , 10} có tính chất là tổng các phần tử của chúng lớn hơn 27?

(a)