Samuel Addmath

8/12/2019 Samuel Addmath

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Additional Mathematics

Project Work 2014

Bantuan Khas Awal

Persekolahan 1Malaysia cash aid to all students y

the !o"ernment o# Malaysia

y

$ame % &AM'() K*+,lass % - B(&.A/

&chool % &ekolah.in!!i M'A/ M'Muar


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Contents

1. Title : bantuan Khas Awal Persekolahan 1Malaysia -cash aid to all students by the government of Malaysia page 1

2. Appreciations : page 2

3. Introductions: page 2

4. art A: page !"a# $o% the money %ere used :

"b# &ollection of data :

"c# 'epresentation of data :

"d# Mean and the standard deviation of the total savings

5. art ( : page 12"a# Total )avings If deposit in (an* +

"b#Total )avings if deposit in (an* ,

6. art & : page 1!

7. urther ./ploration : page 10

8. 'eflections : page 10

1. Appre iations !

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I %ould li*e to than* my Additional Mathematics teacher .n hairul I3ad bin Abdul 'ahman for e/plaining to us a

guide us throughout this pro4ect %or* 5ithout him6 I %ouldn7t have able to do this pro4ect so smoothly I %o

li*e to ta*e this opportunity to than* all friends for all their cooperation in searching for the information6 obtain

data 6 sharing their ideas6 and helping out in %riting this report I %ould li*e to than* them for their full comm

in doing this pro4ect %or* 8astly I %ould li*e to than* my family members6 especially my parents for their m

financial support

2. "ntro#u tion !

9n 2 69ctober 2;1a4ib Tun 'a3a* has approved anallocation of 'M !; million for (antuan has A%al erse*olahan 1Malaysia %hile presenting the (udget ,ear 2;1! All students from ,ear 1 to orm for 2;1! school session %ill receive 'M 1;; each

.very year %hen the ne% school session starts in ?anuary 6 students have to pay for ne% boo*s6 stationeries

reference boo*s6 school uniforms6 shoes and soc*s6 transport fees to and from home to school (esides theseitems 6 many schools also collect club fees 6 activities fees6 school fees The school arent-Teacher Association" I(@# also collect certain amount of fees from each student for their yearly activities All these are a burden to parents especially some families have several school going children These aids " 'M 1;; for each student inrimary or )econdary school# serve to lighten the parents burden at the beginning of the ne% school year It sho%that the Malaysia government understands the problems faced by the people especially those from the lo%erincome group These aid %ill also provide a more conducive environment for students in the learning process

PA$% A3


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&a' As a stu#ent re ei(in) su h ai# e*plain how you use the +oney. "llustrate your answer.

I %ill use the money to buy some reference boo*s and e/ercise boo*s It is because I am going to sit for) M e/amination and I %ish to study hard to achieve e/cellent result >e/t6 I %ill use some money to paythe tuition fees to lighten parents7 burden in paying e/pensive tuition fees The remainders %ill be givenmy parent to be deposit in the ban* as a preparation for my future education

&b' Colle t #ata on the a+ount o, sa(in)s ,ro+ all your lass+ates re ei(in) the ai#.

My class5 -estari has 3 stu#ents The amount of savings " in 'M # %here collected from each studentand recorded as follo%s :

12 21 2 !! 2 2 0 B C B

1 0; ! ! < B


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%otal sa(in)s &$M' 10 20 30 40 50 60 70 80 90 100

o o, pupils ! C 12 1< 10 2; 2! 2 2C


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&iii' sin) Pie hart to represent the #ata6


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&ii' ,in# the +ean an# stan#ar# #e(iations o, total sa(in)s !

Metho# 1 !

%otalsa(in)s

&$M'

Classrepresentati(es

*

, ,* * 2 ,* 2

1-1; 5.5 4 22 3 .25 121

11-2; 15.5 5 77.5 24 .25 12 1.25

21 3 25.5 3 76.5 65 .25 1 5 .75

31 4 35.5 1 35.5 126 .25 126 .25

41 5 45.5 4 182 2 7 .25 8281

51 6 55.5 3 166.5 3 8 .25 24 .75

61 7 65.5 4 262 42 .25 17161

71 8 75.5 2 151 57 .25 114 .5

81 85.5 3 256.5 731 .25 21 3 .75

1 1 5.5 1 5.5 12 .25 12 .25

30= f 1325= fx 5.816672 = fx

Mean 1325 44.1667

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tan#ar# #e(iation 27.776

Metho# 2 ! sin) s ienti,i al ulator to ,in# the +ean an# stan#ar# #e(iation o, total sa(in)s

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&iii' Co++ents on the results

The results obtained by using the first method are mean F !! 1 0 and the standard deviation F 20 00 C Thesecond method by using a scientific calculator confirmed the results obtained %ere correct The time used to gethe results by using technology " that is a scientific calculator # is very much faster than the first method This sthe importance of using technology in the learning of mathematics This pro4ect also sho% ho% %e can apply tmathematics %e learn in class to solve daily life problems

& ' ", ea h stu#ent is )i(en an a##itional $M 5 ,or sa(in)s !

The ne% mean F original mean G ; F !! 1 0 G ; F C! 1 0

The ne% standard deviation F original standard deviation F 20 00 C

The ne% variance F 20 00 C 2F 001 2

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PA$% -

Assu+e that you sa(e# the whole a+ount o, the ai# in -ank : whi h o,,ers annual pro,it o, 3 ; an# isre#ite# annually.

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-ank > o,,ers a pro,it o, .25; per +onth an# is re#ite# +onthly. Cal ulate the total sa(in)s a,ter 1 years.

Metho# 1 ! sin) the on ept o, =eo+etri Pro)ression

aF 1;; r F 1 ;;2 after 1; years is 12; payment that is T 121

Hsing Tn F ar n-1

120 120

121 100(1.0025) 134.9353T ar RM = = =

F 'M 1

Metho# 2 ! sin) the on ept o, Co+poun# "nterset

1; years F 1; / 12 F 12; payments

Hsing An F " 1 G r #12;

F 1;; " 1 G ; ;;2 # 12;

F 'M 1

9is uss the ,in#in)s

The total saving after 1; years if deposit in (an* + is 'M 1


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PA$% C

The follo%ing are the savings in 'M 6 of t%o students6 Ali and Muthu for the first seven months6 %here / is Alsaving and y is Muthu7s savings

/ 2 < 1 00 C; 1;;

y ; 1 2 ! 1 0 0#

May-ank 'ates :&redit (alance Interest 'ate Hp to'M26;;; ;


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L ree si/ " # over the counter visits per monthL ree eight "B# ATM &ash 5ithdra%als permonthL ree ATM Mini )tatementL >o charges imposed upon closing of account

My o++ents!

(ased on my comparison of both saving plans6 I %ould choose tohave a (an* )impanan >asional account Itis because that the interestrates provided by this ban* is higher than May(an* Thus6 I %ould beable to earn mo profit

8..$e,le tions !

This course%or* means a lot to me because I %as able to learn many stuffs throughout carrying out thiscourse%or* (y conducting this course%or*6 I %as able to learn on ho% to practically apply mathematical s*illreal-life situations Thus6 it provided me a better understanding of the topics %hich are being discussed in this pro4ect %or*

I have come to reali3e Math is fun even it is not my best sub4ect in my studies I can en4oy al%ays durthe lesson and doing Math 5hen I %as a *id6 I used to en4oy the feeling of holding a pencil in my hand6 being pressed and flattened by the paper as I %rote all the symbols6 formula and numbers on the paper

Apart from that6 I have the chance to practice my technology s*ills I had to virtually dra% charts6

graphs and type out various mathematical eDuations %hich needs some *ind of *no%ledge in computers -thiscourse%or* has provided me that *no%ledgeThis course%or* has also taught me to be independent I learned to do some researches through various

sources li*e internet6 boo*s6 maga3ines and many others I learned to get information from the sources to putinside my course%or* (esides6 I learned about cooperation and team%or* My friends had helped me a lot indoing this course%or*N they had taught me the spirit of team%or* and friendship

Any%ay6 this course%or* helped me in my revision of math because it covered all the topics that I learbefore and this %ill prepare me for the ) M e/amination %hich is coming soon later

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Samuel Addmath

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