Page 12 - Spotlight A+ Form 4 & 5 Mathematics KSSM

Form
Chapter 4 Operations on Sets Mathematics 4

4.3

1. The Venn diagram below shows the elements of 3. The Venn diagram below shows three sets A, B,
sets A, B, C and the universal set . C and the universal set .

ξ ξ A
A B
●b C ●c B C
●f ●a
●d ●g
●e
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●h On a separate Venn diagram, shade the region CHAP.
List down the elements of C4 that represents C4 4
(a) (A < C > B), (b) [A < (B > C)].
(a) A > B < C, (b) (A < C) > B, 4. In the Venn diagram below,  is the universal
(c) A < B > C, (d) (A > C) < B. set. P, Q and R are three sets. The number of
2. In the Venn diagram below, the number of elements in each set are shown.
elements of sets A, B, C and the universal set 
are shown. ξ Q
P
ξ R
B x 2 y 26
A
x
25 6 7 10 13
C
5 Given n() = 109 and n(Q) = 71. C5
4
(a) Find the values of x and y.
Determine C4 (b) Hence, determine
(a) n[(A > C < B)], (b) n{[A < (B > C)]}. (i) n(P > Q < R),
(ii) n[(P > R) < Q].

SPM Simulation HOTS Questions COMMENT
EXAMINER’S

1. The diagram below shows a Venn diagram with Answer: C
the universal set , sets P, Q and R.
Examiner’s Tips:
ξ Candidates should not guess the answer for this
P Q question. Actually, candidates are required to
R
shade the region that represents each set in the
options.
ξ ξ
P Q P Q
Which of the following represents the shaded R R
region? C4
A (P < Q) > R C (Q > R) > P
B (Q < R) > P D (P > Q) < R
(P < Q) > R (Q < R) > P
Examiner’s Comments:
ξ
ξ ξ
P Q P Q P R Q
R R

Q > R (Q > R) > P (P > Q) < R

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ENG04 Spotlight Matematik F4.indd 81 14/01/2021 9:53 PM