Page 13 - Spotlight A+ Form 4 & 5 Mathematics KSSM

Form
Chapter 4 Operations on Sets Mathematics 4

Paper 1
1. Given set A = {1, 3, 4, 5, 7, 9} and set 6. The diagram below shows a Venn diagram with
C2 B = {2, 3, 4, 5, 6, 8, 10}. Which of the following C4 the universal set  = P < Q < R.
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describes the intersection of sets A and B? R
A Set of integers from 3 to 5. P Q CHAP.
B Set of integers from 3 to 6. ●3 ●1 ●5 ●7 ●2 4
C Set of integers between 3 and 5. ●6 ●4
D Set of integers between 3 and 6.
List down all the elements of the set (P > Q > R).
2. Given set A = {5, 7, 11, 13} and set A {1, 3, 6}
C2 B = {4, 5, 6, 7, 8, 9, 10, 11, 12, 13}. Determine B {1, 2, 4, 7}
A > B in the set builder notation. C {2, 3, 4, 6, 7}
A {x : 4 < x , 12, x is an odd number} D {1, 2, 3, 4, 6, 7}
B {x : 4 < x < 13, x is a whole number}
C {x : 5 < x < 12, x is an even number} 7. A group of 49 customers bought at least one
D {x : 5 < x < 13, x is a prime number} C3 type of fruits from mangosteen, cempedak and
rambutan. The Venn diagram below shows the
3. Given set F = {letters of the word KOMPAS} and number of customers who bought mangosteen
C2 set G = {letters of the word PEMBARIS}. Which and cempedak only.
of the following Venn diagrams describes F > G? P Q
A C R
F G F G 10 18
●K ●A ●B ●K ●A ●B
●P ●E ●I ●M ●E
●I
●P
●M
●S ●O ●R ●O ●S Given P = {customers who bought mangosteen},
●R Q = {customers who bought cempedak} and
B D R = {customers who bought rambutan}. The
F ●B G F G number of customers who bought mangosteen
●K ●A ●E ●K ●A ●B
●M ●O ●I ●S and cempedak is three times the number of
●P ●O ●I ●P customers who bought rambutan. Determine the
●S ●R ●M ●R ●E
number of customers who bought all the three
fruits.
4. Given set A = {2, 4, 6, 8, 10, 12}, set A 5 C 19
C4 B = {1, 3, 4, 6, 8, 9} and set C = {3, 4, 5, 7, 8, 10, 11}. B 7 D 21
Find A > B > C.
A {4, 8} 8. A school has 33 teachers. An interview was
B {6, 8} C3 carried out to find out the number of teachers
C {4, 6, 8} who have visited Hokkaido in Japan and Jeju
D {4, 8, 10} Island in Korea. In the interview, it was found
that each teacher has visited at least one of the
5. Given the universal set  = {x : 4 < x < 20, x is tourist places. A total of 18 teachers have visited
C4 an even number}, set M = {multiples of 4} and Hokkaido and 26 teachers have visited Jeju
set N = {even numbers between 4 and 16}. Island. Find the number of teachers who have
Determine (M > N). visited Hokkaido and Jeju Island.
A {4, 6, 10, 14, 16, 18} A 8
B {4, 6, 10, 14, 16, 20} B 9
C {4, 6, 10, 14, 16, 18, 20} C 11
D {4, 6, 8, 10, 12, 14, 16, 20} D 13

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ENG04 Spotlight Matematik F4.indd 83 14/01/2021 9:53 PM