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SPM Mathematics Trial 2024 (Selangor Set 2), Paper 2 (Question 7 & 8)


Question 7:
(a) Diagram 4 shows the incomplete steps in financial management process.

State the step labelled R. [1 mark]



(b) Table 2 shows the income and expenses of Amelia and Julia in month of January.



Between Amelia and Julia, who has the best financial position? Justify your answer. [3 marks]

Solution:
(a) R = Reviewing and revising the progress

(b)
Income = net salary, sales commission, rent received

Expenses = housing loan, utility bills, Insurance premium
 Financial position of Amelia =RM(3500+400+800)RM(1300+650+200)= RM4 700+RM2150= RM2 550


 Financial position of Julia = RM (3000+150+850)RM(1800+700+300)= RM4 000+ RM2 800= RM1 200

Amelia has better financial position because surplus of income of Amelia is more than Julia.



Question 8:
Diagram 5 shows two ropes AE and BD tied in a parallel way to the vertical wooden pole EC.

Given the equation of straight line BD is 4y – 3x = 48 and the ratio of distance AB : BC is 3 : 4.
Find,
(a) the equation of the straight line AE, [3 marks]
(b) the distance of ED. [1 mark]


Solution:
(a)
 At point E, y coordinate =04(0)3x=48x=483x=16
 Given that ABBC=34AB16=34AB=16×34AB=12
 Thus, point A=(1612),0)=(28,0)

4y3x=48y=34x+484y=34x+12m=34
mAE=mBD=34y=34x+c,(28,0)0=34(28)+cc=21
 Equation of the straight line AEy=34x+21

(b)
 y-intercept of the equation, y=34x+12 is 12
 Thus, point D=(0,12)
 y-intercept of the equation, y=34x+21 is 21
 Thus, point E=(0,21)
 Distance of ED=2112=9 units 

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