maths spm paper 1 topikal

1. MODUL ENRICHMENT MATEMATIK SPM 2014
TAJUK: SET
MASA:Ո
1.
Diagram 1 / Rajah 1
Diagram 1 is a Venn diagram that shows
all the element in the universal set ξ. List
out all the elements in the universal set.
Rajah 1 ialah gambar rajah Venn yang
menunjukkan semua unsur dalam set
semesta &. Senaraikan semua unsur
dalam set semesta.
A C
B D
2. Given that Q = , the number of
subsets of Q is
Diberi Q = , bilangan subset bagi Q
ialah
A 8 C 5
B 6 D 3
3. Given that
A = .
Diberi
A =
A 2 C 15
B 8 D 30
4. Diagram 2 is a Venn diagram that shows
the number of elements of sets A & B.
Rajah 2 ialah gambar rajah Venn yang
menunjukkan bilangan unsur dalam set A
dan B.
Diagram 2 / Rajah 2
Is is given that the universal set ξ= A Ս
B. The elements of the set (A Ո B)’.
Diberi bahawa set semesta ξ= A Ս B.
Unsur bagi set (A Ո B)’.
A 1, 2, 3, 4, 5, 6, 7, 8
B 5, 6, 7, 8, 9, 10
C 5, 7, 8
D 1, 2, 3, 4, 6, 9, 10
5. ξ=
A =
B = .
Find n(A Ո B).
ξ=
A =
B = .
Find n(A Ո B).
A 3 C 10
B 7 D 14

2. 6. Which Venn diagram represents the set
(A U B)’ Ո C ?
Gambar rajah Venn yang manakah
mewakili set (A U B)’ Ո C ?
A
B
C
D
7. Diagram 3 shows the universal set ξ, set A
& set B.
Rajah 3 menunjukkan set semesta ξ, set A
dan set B.
Diagram 3 / Rajah 3
A A’ Ո (B U C) C A U (B Ո C)
B (A U B) Ո C’ D (A Ո B)’ U C
8. Diagram 4 is a Venn diagram showing the
universal set, ξ = Set
E=
Set K= .
Rajah 4 ialah gambar rajah Venn
menunjukkan set semesta,
ξ =
Set E=
Set K= .
Diagram 4 / Rajah 4
Given n(ξ) =90, n(E) =34, n(K) = 55 and
n(E n K) = 10. Find the number of
students who do not like both type of the
movie.
Diberi n(ξ) =90, n(E) =34, n(K) = 55 dan
n(E n K) = 10. Cari bilangan murid yang
tidak suka kedua-dua jenis wayang.
A 11 C 15
B 13 D 17

3. 9. Diagram 5 is a Venn diagram showing the
number of elements in set P, set Q, and
set R.
Rajah 5 menunjukkan gambar rajah Venn
yang menunjukkan bilangan unsure dalam
set P, set Q, dan set R.
Diagram 5 / Rajah 5
It is given that the universal set, ξ = P U
Q U R and n(P) = 15. Find the value of
n(Q U R).
Diberi bahawa set semesta, ξ = P U Q U R
dan n(P) = 15. Cari nilai n(Q U R).
A 6 C 15
B 10 D 16
10. P, Q, and R are three different sets such
that P Q R. Thus,
P, Q, dan R adalah tiga set yang berbeza
dengan keadaan P Q R. Maka,
A P Ո Q = R C Q Ո R = Q
B P Ս Q = P D P’ Ս Q = Q