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Worksheets

Sets

Total questions: 25

Worksheet time: 21mins

Name
Class
Date
1.

Who created the Venn Diagram in 1880s?

a)

Rene Descartes

b)

Pythagoras

c)

Albert Einstein

d)

John Venn

2.

How many students taking up Mathematics or Science?

a)

15

b)

20

c)

25

d)

30

3.

How many students taking up Mathematics only?

a)

5

b)

10

c)

15

d)

30

4.

How many students taking up Mathematics and Science?

a)

5

b)

10

c)

15

d)

20

5.

How many students taking up Science but not Mathematics?

a)

5

b)

10

c)

15

d)

20

6.

How many students taking up Mathematics?

a)

5

b)

10

c)

15

d)

20

7.

How many students like basketball but not Volleyball and softball?

a)

6

b)

62

c)

42

d)

44

8.

How many students neither of the three sports?

a)

5

b)

6

c)

7

d)

10

9.

How many students like all three sports?

a)

6

b)

12

c)

15

d)

10

10.

How many students like basketball or volleyball or softball?

a)

44

b)

62

c)

94

d)

100

11.

Which of the following operations on sets describes the given Venn Diagram?

a)

A ∪ BA\ \cup\ B

b)

A ∩ BA\ \cap\ B

c)

A − BA\ -\ B

d)

A′A'

12.

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

a)

A ∩ BA\ \cap\ B

b)

A − BA\ -\ B

c)

A′ ∪ B′A'\ \cup\ B'

d)

A ∪ BA\ \cup\ B

13.

Given the sets
A = {a, b, c, d, e} and B = {a, c, d, f}

What is A ∩ BA\ \cap\ B  ?

a)

{a, c, d}

b)

{a, b, c,d e, f}

c)

{b, e}

d)

{f}

14.

Given the sets
A = {2, 3, 4, 5} and B = {2, 4, 5, 6}

What is A∪BA\cup B  ?

a)

{2, 4, 5}

b)

{2, 3, 4, 5, 6}

c)

{3}

d)

{6}

15.

Given the sets
U = {a, b, c, d, e, f, g, h, i, j}
A = {a, c, e, g, i} and B = {b, c, d, e, f}

What is  B′B'  ?

a)

{a, b, c, d, e, f, g, i}

b)

{b, d, f, h}

c)

{a, g, h, i, j}

d)

{c, e}

16.

Let C={2, 5, 7, 10} and B={2, 4, 6, 8}. Find C U B.


Diberi C={2, 5, 7, 10} dan B={2, 4, 6, 8}. Cari C U B.

a)

{2,4,6,8,10}

b)

{2,4,5,6,7,8,10}

c)

{2, 4, 5, 6, 7, 8, 10}

17.

Find n(A) when

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

a)

6

b)

4

c)

12

d)

even numbers

18.

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}

19.

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}

20.

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}

21.

WHAT WILL BE THE THE ELEMENTS OF SAMPLE SPACE IF IT IS FROM THE FIRST 10 LETTERS OF THE ALPHABETH?

a)

S = ( 1, 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 10 )

b)

S = ( A , B , ...J )

c)

S = ( A , B , C , D , E , F , G , H , I J , K )

d)

S = ( ABCDEFGHIJ)

22.

SET A CONSISTS OF NUMBERS GREATER THAN 5 BUT LESS THAN 12

a)

A = ( 5 , 6 , 7, 8 , 9 , 10 , 11 ,12 )

b)

A = ( 6 , 7 , 8 , 9 , 10 , 11, 12)

c)

A = ( 6 , 7, 8 , 9 , 10 ,11 )

d)

A = ( 5 , 6 , 7, 8 , 9 , 10 , 11 )

23.

DESCRIBE THE RELATIONSHIP OF THE FOLLOWING SETS USING A VENN DIAGRAM: S is an event of tossing a die, A consist of divisible of 3, and B consists of composite numbers

a)
b)
c)
d)
24.

A = (1 , 2, 3 , 4 ,6 ,12 ). WHAT IS THE BEST DESCRIPTION FOR SET A.

a)

SET A IS CONSIST OF ODD AND EVEN NUMBERS.

b)

SET A CONSISTS OF MULTIPLE OF 3

c)

SET A CONSIST OF NUMBERS LESS THAN 13

d)

SET A CONSIST OF FACTORS OF 12

25.

DESCRIBE SET B. B = ( 5 , 10 , 15 , 20 , 25 )

a)

SET B ARE MULTIPLES OF 5

b)

SET B ARE FACTORS OF 5

c)

SET B ARE FIRST 5 MULTIPLES OF 5

d)

SET B ARE ODD NUMBERS