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Form 4 KSSM Math Chap 4 Operations on Sets

Total questions: 25

Worksheet time: 25mins

Name
Class
Date
1.

Given P={1,2,3,4,5} , Q={3,5,7,9}
Find  P∩QP\cap Q  

a)

{2,5}

b)

{3,5}

c)

{1,3}

d)

{1,5}

2.


 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  Q∩RQ\cap R  

a)

{2,7}

b)

{5}

c)

{6,7)

d)

{7}

3.

 P={m,a,n,i,s} ,  Q={p,a,h,i,t}P=\left\{m,a,n,i,s\right\}\ ,\ \ Q=\left\{p,a,h,i,t\right\}  
Find  P∩QP\cap Q  

a)

{a,i)

b)

{p,i}

c)

{i}

d)

{s,t}

4.

Q={p,a,h,i,t} , R={a,e,i,o,u}
Find  Q∩RQ\cap R  

a)

{p,i}

b)

{q,r}

c)

{a,i}

d)

{a,o}

5.

 A={1.2,2.2,3.2,4.2}A=\left\{1.2,2.2,3.2,4.2\right\}  ,  Z={1.2,1.3,2.4,3.5,4.2}Z=\left\{1.2,1.3,2.4,3.5,4.2\right\}  
FInd  A∩ZA\cap Z  

a)

(3.2,4.2}

b)

{1.2}

c)

{2.2}

d)

{1.2,4.2}

6.

 G={1234,2234,3234,4234} , H={4034,4134,4234,4334}G=\left\{1234,2234,3234,4234\right\}\ ,\ H=\left\{4034,4134,4234,4334\right\}  Find  G∩HG\cap H  



a)

{42.34}

b)

{4234}

c)

{1234,4234}

d)

{42344}

7.

A={j,o,n,a,t,h,n}
B={j,o,s,e,p,h}
C={j,o,e,s,t,a,r}
Find  A∩B∩CA\cap B\cap C  

a)

{j,o,h}

b)

{j,o,e}

c)

{j}

d)

{j,o}

8.

 α={j,a,u,h}\alpha=\left\{j,a,u,h\right\}  ,  β={r,a,j,a}\beta=\left\{r,a,j,a\right\}  ,  γ={p,a,n,t,a,i}\gamma=\left\{p,a,n,t,a,i\right\}  

Find  α∩β∩γ\alpha\cap\beta\cap\gamma  

a)

{a}

b)

{a,j}

c)

{a,h}

d)

{j,h}

9.

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'

10.

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

a)

A′A'

b)

B′B'

c)

A − BA\ -\ B

d)

A ∩ BA\ \cap\ B

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 ∩ B)′\left(A\ \cap\ B\right)'

b)

(A−B)′\left(A-B\right)'

c)

(A∪ B)′\left(A\cup\ B\right)'

d)

A′ ∪ BA'\ \cup\ B

13.

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)'

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 = {1, 2, 3, 4, 5, 6, 7, 8, 9}
A = {2, 3, 5, 7} and B = {1, 3, 5, 7, 9}

What is  (A∪B)′\left(A\cup B\right)'  ?

a)

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

b)

{4, 6, 8}

c)

{2, 4, 6, 8}

d)

{1, 3, 5, 7, 9}

16.

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}

17.

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

18.

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}

19.

 (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}

20.

 (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}

21.
X ∩ Y ∩ Z
a)
{ }
b)
{Phillip}
c)
{Billy, Phillip, Bryan, Perez}
d)
{Billy, Perez, Bryan}
22.

Given that ξ={1, 2, 3, 4, 5, 6, 7, 8, 9, 12, 15}\xi=\left\{1,\ 2,\ 3,\ 4,\ 5,\ 6,\ 7,\ 8,\ 9,\ 12,\ 15\right\}  , A = {1, 3, 5, 15}, B = {2, 3, 5, 7} and C = {2, 4, 6, 8}.
What is (A U B)' ∩ C ?

Diberi ξ={1, 2, 3, 4, 5, 6, 7, 8, 9, 12, 15}\xi=\left\{1,\ 2,\ 3,\ 4,\ 5,\ 6,\ 7,\ 8,\ 9,\ 12,\ 15\right\}  , A = {1, 3, 5, 15}, B = {2, 3, 5, 7} dan C = {2, 4, 6, 8}. Apakah set (A U B)' ∩ C ?

a)

{4, 6, 8}

b)

{4, 6, 8, 9}

c)

{4, 6, 8, 9, 12}

d)

{4, 6, 8, 9, 12, 15}

23.

If P = {0, 1, 2, 3, 4}, Q = {4, 6, 8} and R = {6, 12, 18}, then what is (P ∩ Q) ∪ R?


Jika P = {0, 1, 2, 3, 4}, Q = {4, 6, 8} dan R = {6, 12, 18}, maka apakah set (P ∩ Q) ∪ R?

a)

{4}

b)

{4, 6}

c)

{4, 6, 8}

d)

{4, 6, 12, 18}

24.

From Venn diagram, let blue represent the students taking drama (D) and green represent the students taking math (M).

What is n(D ⋃ M)?


Daripada gambar rajah Venn, katakan biru mewakili murid yang mengambil drama (D) dan hijau mewakili murid yang mengambil matematik (M).

Apakah n(D ⋃ M)?

a)

5

b)

7

c)

2

d)

4

25.

 From the Venn diagram given, determine  Q'\cap R .

Daripada gambar rajah Venn yang diberi, tentukan  Q'\cap R .

a)

{1, 2, 3, 5 6}

b)

{3, 5, 6}

c)

{3, 4, 5, 6, 7}

d)

{1, 2, 3, 4, 5, 6, 7}