Page 18 - 1202 Question Bank Mathematics Form 5

15. Cik Rita wants to buy a house worth RM350 000. Answer:
She needs to pay the preliminary money amounting (a)
to 15% of the original price of the house. But she
only has money amounting to M. She decided to save
her money M in the bank as fix deposits account. The
bank offered interest rate of r% per annum for the
fix deposits account and compounded every year. (b)
She will receive the new total saving, S, after t years
of saving which followed the mathematical model
S(t) = 28 000(1.06) .
t
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(a) What is the saving principal, M of Cik Rita and
the annual interest rate offered by the bank?
[2 marks]
(b) Calculate the total saving in the fix deposits (c)
account of Cik Rita after 6 years of saving.
[2 marks]
(c) How many year does Cik Rita needs to save
her money M in fix deposits account to enable
her to pay for the preliminary money to buy the
house? [3 marks]
(d) Refining the mathematical model if the interest (d)
rate for the fix deposits account offered by the
bank is compounded every three months.
[2 marks]

Section C
[15 marks]
Answer any one of the question from this section.
16. Diagram 6 shows a histogram which represents (a) Based on the information in the histogram,
the mark obtained by a group of students in a complete the table in the answer space provided.
mathematics test. [3 marks]
Frequency (b) Based on the data in the table,
(i) State the modal class, [1 mark]
11 (ii) Find the mean mark of the mathematics
test. [3 marks]
10
(iii) Calculate the standard deviation for the
9
mark of the mathematics test. [3 marks]
8 (c) Using a scale of 2 cm to 5 marks on the horizontal
axis and 2 cm to 5 students on the vertical axis,
7
draw an ogive for the data. [3 marks]
6 (d) Based on the ogive drawn in (c), calculate the
5 interquartile range of the data. [2 marks]
4

3
2
1
0 Marks
19.5 24.5 29.5 34.5 39.5 44.5 49.5 54.5
Diagram 6
115

MPaper 1202BS Maths F5.indd 115 25/01/2022 11:49 AM