stpm trials 2009 math t paper 2 (negeri sembilan)

8/11/2019 STPM Trials 2009 Math T Paper 2 (Negeri Sembilan)

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954 2

Mathematics T

Paper

2009

3

hours

JABATAN PELAJARAN NEGERI

NEGERI SEMBILAN DARUL KHUSUS

PEPERIKSAAN PERCUBAAN

SIJIL TINGGI PERSEKOLAHAN MALAYSIA

2009

Paper

2

Three hours

O NOT

OPEN THIS BOOKLET UNTIL YOU ARE

TOL

TO

O SO

Instructions to candidates:

Answer

all

questions. Answers may

e

written in either English or Bahasa Malaysia.

ll

necessary working should be shown clearly.

Non-exact numerical answers may

e

given correct to three significant figures

or one decimal place. in the case ofangles in degrees unless a different level o

accuracy is specified in the question.

This question paper has 4 printed pages

954 2

2009

Copyright

PPD Seremban

[Turn Over

CONFIDENTIAL


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6. In a chemical reaction, hydrogen peroxide is converted into water and oxygen.

At time t after the start of the reaction, the quantity of hydrogen peroxide that has not

been converted is

x

and the rate at which

x

is decreasing proportional to

x .

a) Write down a differential equation involving

x

and t

[1]

b) Given that x

=

Xo initially, show that

In

=

let where k is a positive constant

Xo

[4]

c) In an experiment, the time taken for the hydrogen peroxide to be reduced to half

of

its original quantity was 3 minutes. Find the time that would be required to

reduce

the hydrogen

peroxide to one-tenth of its original quantity. [4]

d) Express x in tenns of

x6illd

t and sketch a graph showing how x varies with t

[3]

7

A survey is carried out

on TV2

English News. Table 1 below, indicates the number of

viewers according to age in years) that watch the TV2

English

News.

Age,

x

years)

Frequency

1 ~ x


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stpm trials 2009 math t paper 2 (negeri sembilan)

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