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Operations On sets

Total questions: 25

Worksheet time: 50mins

Name
Class
Date
1.

It is an operation on sets that contains elements that are common to both sets.

a)

Complement of a Set

b)

Difference of Two Sets

c)

Intersection of Sets

d)

Union Sets

2.

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)

AA'

3.

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

a)

AA'

b)

BB'

c)

A BA\ -\ B

d)

A BA\ \cap\ B

4.

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

a)

ABA'-B'

b)

(AB)\left(A\cup B\right)'

c)

ABA'\cup B'

d)


(AB)\left(A\cap B\right)'

5.

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}

6.

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  BB'  ?

a)

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

b)

{b, d, f, h}

c)

{a, g, h, i, j}

d)

{c, e}

7.


 Q={3,5,7,9}Q=\left\{3,5,7,9\right\}  R={2,4,6,7}R=\left\{2,4,6,7\right\}  

Find  QRQ\cap R  

a)

{2,7}

b)

{5}

c)

{6,7)

d)

{7}

8.
What does this symbol ( ∩ ) represent in set theory?
a)
Union
b)
Intersection
c)
Disjointed
d)
Subset
9.

 What  is  the  meaning  of  B  C ?What\ \ is\ \ the\ \ meaning\ \ of\ \ B\ \cap\ C\ ?  

a)

Set B union with set C

b)

Set B intersection with set C

c)

The difference of set B to set C

10.

Which of the following are the subset of B={1,2,3,4,5,6,7,8,9,10}.

a)

C={2}

b)

A={5,6,7}

c)

T={1,2,3,4,5,...,8}

d)

D={0,2,4,6,8,10,12}

11.

Choose any three possible subsets of :

F={1,2,3}

a)

{ }, {1 }, {2}

b)

{1}, { 2 }, {3}

c)

{1},{0},{4}

d)

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

12.

The Venn diagram shows the relationship between the universe set ξ\xi , set X and set Y. Which of the regions, A, B, C and D, which represents  (X Y )\left(X\ '\cap Y\ '\right)  

a)

A

b)

B

c)

C

d)

D

13.

Given that  ξ\xi  = { x: 10x30, x x:\ 10\le x\le30,\ x\  is an integer}, set F = { x: when x is divided by 5, the remainder is 3} , set G = { x: x can be divided exactly by 3} . List the elements of the set  FGF\cap G  . 

a)

 ϕ\phi  

b)

{18}

c)

{18, 28}

d)

{13, 18, 23, 28}

14.

The diagram shows a Venn diagram with P = {3, 6, 7, 10} and Q = {1, 2, 5, 6, 10}. The element of set   PQP\cap Q  is

a)

{3, 7}

b)

{6, 10}

c)

{7, 10}

d)

{3, 6}

15.

The Venn diagram shows the sets P, Q and R. The shaded area represents

a)

PRQP\cap R\cap Q

b)

PRQ P\cap R\cap Q\ '

c)

PRQ P\cup R\cap Q\ '

d)

PRQP\cup R\cup Q

16.

The diagram shows a Venn diagram with the universal set  ξ=KLM.\xi=K\cup L\cup M.  
Which of the following statements is not true?

a)

 (KM)M\left(K\cap M\right)\subset M  

b)

 (KL)=L\left(K\cap L\right)=L  

c)

 (LM)⊄K \left(L\cap M\right)\not\subset K\ '  

d)

 (KM)L\left(K\cap M\right)\subset L  

17.

Another term for member of a set.

a)

element

b)

set

c)

set notation

d)

roster method

18.

Which of these is an empty set?

a)

The set of green apples.

b)

The set of two-legged elephants

c)

The set of white shirts

d)

The set of green bananas

19.

If two sets have exactly the same elements, then they are (a)   .

20.

An instructive way of describing the relationships between sets and elements and are made up of circles which represent the sets.

a)

Venn Diaphragm

b)

Venn Diagram

c)

Venn Euler

d)

Venn Operations

21.

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

Manakah antara pernyataan yang berikut adalah benar bagi gambar rajah Venn yang ditunjukkan?

a)

A ∩ B = ⊘

b)

A ⋃ B = ⊘

c)

A ⋃ B = A

d)

A ⋂ B = A

22.

Let C={2, 5, 7, 10} and B={1, 3, 5, 7, 9}. Find C ∩ B.


Diberi C={2, 5, 7, 10} dan B={1, 3, 5, 7, 9}. Hitung C ∩ B.

a)

{1,2,3,5,7,9,10}

b)

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

c)

{5,7}

23.

From the above Venn diagram, what is the set S ∩ T?


Daripada gambar rajah Venn yang di atas, apakah set S ∩ T?

a)

{casey, drew, jade, glen}

b)

{alex, casey, drew,hunter}

c)

{casey, drew}

d)

{drew, jade}

24.

 (AB)\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}

25.

The diagram shows a Venn diagram with the universal set,  ξ=ABC.\xi=A\cup B\cup C.  
List all the elements of set  (AB) .\left(A\cap B\right)\ '.  

a)

{r, s}

b)

{q, r}

c)

{p, t}

d)

{p, q, t}