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Mathematics F4: Set

Total questions: 30

Worksheet time: 33mins

Name
Class
Date
1.

B={faktor bagi 15}. Nyatakan n(B)

B=(factors of 15}. Find the value of n(B)

a)

1

b)

2

c)

3

d)

4

2.

A = {huruf dalam perkataan 'MERDEKA'}

A={letters in the word 'MERDEKA'}

a)

A = {M, E, R, D , E , K , A}

b)

A = {M, R, D, E, K, A}

3.

C={2, 4, 6, 8, 10}

n(C)=

a)

2

b)

4

c)

5

d)

10

4.

D={nombor ganjil kurang daripada 10}

D={odd numbers less than 10}

a)

6

b)

7

c)

8

d)

9

5.

E={x:x ialah nombor kuasa dua sempurna, 1≤x≤10}

E={x:x is perfect square, 1≤x≤10}

a)

9 ϵ E9\ ϵ\ E

b)

8 ϵ E8\ ϵ\ E

6.

F={a,b}. Senaraikan semua subset bagi F

F={a,b}. List down all of the subsets of set F

a)

{a},{b},{a,b}

b)

{ },{a},{b},{a,b}

7.

What is the correct relationship between set P and set Q?
Apakah hubungan yang betul antara set P dan set Q?

a)

PQP⊂Q

b)

QPQ⊂P

8.

Kawasan berlorek mewakili ___________
The shaded region represents ____________

a)

subset / subset

b)

elemen / elements

c)

pelengkap / complement

9.

Which of the following represents the universal set?
Yang manakah antara berikut mewakili set semesta itu?

a)

ξ={a,b,d}ξ=\left\{a,b,d\right\}

b)

ξ={c,e,f}ξ=\left\{c,e,f\right\}

c)

ξ={a,b,c,d,e,f}ξ=\left\{a,b,c,d,e,f\right\}

10.

n(H')=

a)

3

b)

4

c)

7

11.

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

12.

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}

13.

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) ⋂ C?

Jika A = {1, 2, 3, 4, 5, 6}, B = {1, 2, 3, 5, 7, 9} dan C = {3, 5, 6, 7, 8, 9}, apakah (A ⋃ B) ⋂ C?

a)

{3, 4, 5, 6, 7, 9}

b)

{3, 4, 5, 6, 7, 8, 9}

c)

{3, 5, 6, 7, 9}

d)

{ }

14.

 (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}

15.

 (AB)\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}

16.
X ∩ Y ∩ Z
a)
{ }
b)
{Phillip}
c)
{Billy, Phillip, Bryan, Perez}
d)
{Billy, Perez, Bryan}
17.
Z ∪ Y
a)
{ }
b)
{Sarah, Gabino, Ja-Leah, Billy, Phillip, Bryan, Perez, Gabriel, William}
c)
{Brittney, Na'Quan, Bryan, Gabriel, William}
d)
{Gabriel, William, Bryan, Phillip, Perez}
18.

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}

19.

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}

20.

Determine n(W ⋃ C)'.

Tentukan n(W ⋃ C)'.

a)

6

b)

15

c)

21

d)

44

21.

Determine n(W ⋂ C)'.

Tentukan n(W ⋂ C)'.

a)

6

b)

15

c)

54

d)

60

22.

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

23.

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}

24.

Given A = { 1, 3, 5, 7 } and B = { 2, 4, 6, 8 }, hence A U B is

Diberi A = { 1,3, 5, 7 } dan B = { 2, 4, 6, 8 }, maka A U B ialah

a)

{ 1, 2, 3, 4, 5, 6, 7, 8 }

b)

{ 1, 2, 3, 5, 6, 7, 8 }

c)

{ 1, 2, 3, 5, 7, 8 }

d)

{ }

25.

Given  A  =  { s, o, p, a, n }  and  B = { p, a, t, u, h }, hence  A  \cap  B  is
Diberi A = { s, o, p, a, n } dan B = { p, a, t, u, h  }, maka A \cap B ialah 

a)

{ s, o, p, a, n, t, u, h }

b)

{ s, o, p, a, n, p, a,  t, u, h }

c)

{ s, o, p, a, n, a, t, u }

d)

{ p, a }

26.

Given A = { b, u, k, u } dan B = { k, u, b, u }. Hence A = B.

Diberi A = { b, u, k, u } dan B = { k, u, b, u }. Maka A = B .

a)

Betul

b)

Salah

27.

The shaded region represents
Kawasan yang berlorek mewakili

a)

A B

b)

A \cap B

c)

A \subset B

d)

A \in B

28.

In the Venn Diagram,  the elements of   S U V    are
Dalam gambarajah Venn, unsur  S   V ialah

a)

{  alex, hunter, casey, drew }

b)

{  alex, casey, hunter, drew, jade, glen }

c)

{ alex, hunter, casey, jade, drew }

d)

{ drew, jade }

29.

In the Venn Diagram,  S  U  (  T    \cap  V ) is
Dalam Gambar Rajah Venn , S    (  T   \cap  V )  ialah

a)

{ alex, hunter, casey, drew, jade }

b)

{  drew, jade }

c)

{ drew, jade, glen }

d)

{ alex,  hunter,  casey, drew, glen }

30.

Based on the Venn Diagram,  (  T  U  V  )'  is
Berdasarkan gambar rajah Venn di atas, ( T  \cup  V ) '  ialah

a)

{  casey, drew, jade, glen }

b)

{ alex, hunter }

c)

{ alex, hunter, casey, drew, jade, glen }

d)

{ alex, hunter, blair, erin, francis, ira }