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SPM Mathematics Trial 2024 (Selangor Set 2), Paper 2 (Question 3 & 4)


Question 3:
Malware Internet company has 5 Internet channels labelled P, Q, R and S to send messages.

Table 1 shows the number of messages that can be sent by each channel.



Draw a graph with multiple edges and loops based on the given information. Hence, determine the sum of degrees.
[3 marks]


Solution:




 Sum of degrees =2× Number of edges =2×10=20


Question 4:
(a) State the antecedent and consequent for the following statement. [2 marks]

If x is a multiple of 6 , then x is a multiple of 3.

(b) Write the converse for the following implication. Hence, determine whether the converse is true or false.
[2 marks]
 If x=30, then sinx=0.5
Solution:
Implication “If p , then q “
A statement “if p, then q” is known as an implication where
p is denoted as the antecedent.
q is denoted as the consequent.


(a)
Antecedent : x is multiple of 6

Consequent: x is multiple of 3


(b)


 Converse  If sinx=0.5, then x=30
 False, because if sinx=0.5,x consists of two values (1st and 2nd quadrant), 
x=30 or x=(18030)=150

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