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MenengahTeknik Kuantan

Additional MathematicsProject Work 2010

NAME :

FORM :

I/C NO.:

TEACHERS NAME :

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CONTENT

Appreciation

Introduction

Part 1Task 1

Part 2

Task 2

Part 3Task 3

Conclusion

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APPRECIATIO

N

After weeks of struggle and hard work to complete

assignment given to us by our teacher, Sir Ching . I finally

did it within 2 weeks with satisfaction and senses ofsuccess because I have understood more deeply about the

interest and investment more than before. I have to be

grateful and thankful to all parties who have helped me in

the process of completing my assignment. It was a great

experience for me as I have learnt to be more independent

and to work as group. For this, I would like to take this

opportunity to express my thankfulness once again to all

parties concerned.

Firstly, I would like to thanks my Additional

Mathematics teacher, Sir Ching for patiently explained to

us the proper and precise way to complete this assignment.

With his help and guidance, many problems I have

encountered had been solved.

Beside that, I would like to thanks my parents for all

their support and encouragement they have given to me. Inaddition, my parents had given me guidance on the

methods to account for investment which have greatly

enhanced my knowledge on particular area.

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Last but not least, I would like to express my

thankfulness to my cousin and friends, who have patiently

explained to me and did this project with me in group.

INTRODUCTIO

N TO INDEX

NUMBERSAn index number is an economic datafigure reflecting

price or quantity compared with a standard or base value.

The base usually equals 100 and the index number is

usually expressed as 100 times the ratio to the base value.

For example, if a commodity costs twice as much in 1970

as it did in 1960, its index number would be 200 relative to

1960. Index numbers are used especially to compare

business activity, the cost of living, and employment. They

enable economists to reduce unwieldy business data into

easily understood terms.

In economics, index numbers generally are time seriessummarising movements in a group of related variables. In

some cases, however, index numbers may compare

geographic areas at a point in time. An example is a

country'spurchasing power parity. The best-known index

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http://en.wikipedia.org/wiki/Economic_datahttp://en.wikipedia.org/wiki/Figurehttp://en.wikipedia.org/wiki/Pricehttp://en.wikipedia.org/wiki/Ratiohttp://en.wikipedia.org/wiki/Commodityhttp://en.wikipedia.org/wiki/Cost_of_livinghttp://en.wikipedia.org/wiki/Employmenthttp://en.wikipedia.org/wiki/Economicshttp://en.wikipedia.org/wiki/Time_serieshttp://en.wikipedia.org/wiki/Purchasing_power_parityhttp://en.wikipedia.org/wiki/Economic_datahttp://en.wikipedia.org/wiki/Figurehttp://en.wikipedia.org/wiki/Pricehttp://en.wikipedia.org/wiki/Ratiohttp://en.wikipedia.org/wiki/Commodityhttp://en.wikipedia.org/wiki/Cost_of_livinghttp://en.wikipedia.org/wiki/Employmenthttp://en.wikipedia.org/wiki/Economicshttp://en.wikipedia.org/wiki/Time_serieshttp://en.wikipedia.org/wiki/Purchasing_power_parity


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number is the consumer price index, which measures

changes in retail prices paid by consumers. In addition, a

cost-of-living index (COLI) is a price index number that

measures relative cost of living over time. In contrast to aCOLI based on the true but unknown utility function, a

superlative index number is an index number that can be

calculated. Thus, superlative index numbers are used to

provide a fairly close approximation to the underlying cost-

of-living index number in a wide range of circumstances.

There is a substantial body of economic analysis

concerning the construction of index numbers, desirableproperties of index numbers and the relationship between

index numbers and economic theory.

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http://en.wikipedia.org/wiki/Consumer_price_indexhttp://en.wikipedia.org/wiki/Retail_pricehttp://en.wikipedia.org/wiki/Cost-of-living_indexhttp://en.wikipedia.org/wiki/Consumer_price_indexhttp://en.wikipedia.org/wiki/Retail_pricehttp://en.wikipedia.org/wiki/Cost-of-living_index


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Part 1

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TASK 1

The prices of goods sold in shops very from one shop to another. Shoppers

tend to buy goods which are not only reasonably priced but also give value

for their money.

(a) Collect pictures, newspaper cuttings or photos on items that you have

chosen.

Design a collage to illustrate the chosen items.

FOOD

FLOUR BUTTER

SUGAR EGG (GRADE A)

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http://www.google.com/imgres?imgurl=http://un2kmu.files.wordpress.com/2009/09/telur.jpg&imgrefurl=http://unusual-wow.blogspot.com/2009_10_01_archive.html&usg=__dZFBH8RsAK5QDg5QeuFUN28wnCg=&h=1158&w=1163&sz=149&hl=en&start=1&itbs=1&tbnid=6RHWWK3lAAGTrM:&tbnh=149&tbnw=150&prev=/images%3Fq%3Dtelur%26hl%3Den%26gbv%3D2%26tbs%3Disch:1http://www.google.com/imgres?imgurl=http://www.klikdokter.com/userfiles/gula.jpg&imgrefurl=http://gizi.klikdokter.com/subpage.php%3Fid%3D3%26sub%3D12&usg=__8p1OnByIFcdEL1E1Mh7Iw91pTQw=&h=1454&w=1059&sz=72&hl=en&start=19&itbs=1&tbnid=hFsZIOU9LqJX5M:&tbnh=150&tbnw=109&prev=/images%3Fq%3Dgula%26hl%3Den%26gbv%3D2%26tbs%3Disch:1http://www.google.com/imgres?imgurl=http://4.bp.blogspot.com/_E3dmpUX07Og/SwPTiVGtWpI/AAAAAAAAAHc/LZr5S8ALFJk/s1600/mentega_tatura.jpg&imgrefurl=http://hacksboys.blogspot.com/2009/11/beza-antara-mentega-dan-marjerin.html&usg=__lCAdN-i3_QVEb27vqtoBYJye86o=&h=600&w=600&sz=45&hl=en&start=4&itbs=1&tbnid=86zG24l0mMklyM:&tbnh=135&tbnw=135&prev=/images%3Fq%3Dmentega%26hl%3Den%26gbv%3D2%26tbs%3Disch:1http://www.google.com/imgres?imgurl=http://www.deliver2u.com.my/images/tepung%2520sauh.jpg&imgrefurl=http://www.deliver2u.com.my/Malaysia-Grocery-Online-Store-Flour-%26-Powders/c60_105/index.html&usg=__G7VUZd6H_x5PcoWW93MFq1bpvpI=&h=400&w=400&sz=83&hl=en&start=4&itbs=1&tbnid=bc23gWTGRC_7pM:&tbnh=124&tbnw=124&prev=/images%3Fq%3Dtepung%2Bgandum%26hl%3Den%26gbv%3D2%26tbs%3Disch:1


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DETERGENT

SOAP CLOROX

SOAP POWDER FABRIC SOFTENER

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http://www.google.com/imgres?imgurl=http://www.yumtrade.com/images/A2_HomeCare/home_care_A20016_e.jpg&imgrefurl=http://www.yumtrade.com/shopexd.asp%3Fid%3D430&usg=__Sbx-FSvYDdbwdMehMZBqqZdi9MQ=&h=260&w=175&sz=18&hl=en&start=6&itbs=1&tbnid=FXwN68LJCU3SEM:&tbnh=112&tbnw=75&prev=/images%3Fq%3Dsoftlan%26hl%3Den%26gbv%3D2%26tbs%3Disch:1http://www.google.com/imgres?imgurl=http://muzzellhealthcare.co.uk/SOAP%2520POWDER%25202.jpg&imgrefurl=http://muzzellhealthcare.co.uk/Janitorial%25202.htm&usg=__HmRu1Wu3XVa0nZUmbiCRYyvNUt8=&h=244&w=279&sz=48&hl=en&start=6&itbs=1&tbnid=FAXWtdEv7Yb_GM:&tbnh=100&tbnw=114&prev=/images%3Fq%3DPOWDER%2BSOAP%26hl%3Den%26gbv%3D2%26tbs%3Disch:1http://www.google.com/imgres?imgurl=http://shinypackages.files.wordpress.com/2009/03/ultra-javex-blee280a6h-by-clorox.jpg&imgrefurl=http://shinypackages.wordpress.com/2009/03/23/win-during-spring-cleaning-week-cant-beat-clorox/&usg=__G7qoze9WUSDwDO9GCRtogd7MlOY=&h=2000&w=1273&sz=725&hl=en&start=14&itbs=1&tbnid=Lgwrb-0iBqXv5M:&tbnh=150&tbnw=95&prev=/images%3Fq%3Dclorox%2Bbleach%26hl%3Den%26gbv%3D2%26tbs%3Disch:1http://www.google.com/imgres?imgurl=http://1.bp.blogspot.com/_9fOsp47ukrs/S77XbIJ46ZI/AAAAAAAAAPQ/dpFocGsp99k/s1600/Pic_3(25).jpg&imgrefurl=http://waniebinnie.blogspot.com/2010_04_01_archive.html&usg=__AItZsfgjxRtxJsUBhIIx-qQ7IBE=&h=749&w=1024&sz=61&hl=en&start=1&itbs=1&tbnid=4SNASVrA2x0htM:&tbnh=110&tbnw=150&prev=/images%3Fq%3DSABUN%2BBUKU%26hl%3Den%26sa%3DN%26gbv%3D2%26ndsp%3D20%26tbs%3Disch:1


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STATIONERY

PENCIL RUBBER

RULER PEN

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http://www.google.com/imgres?imgurl=http://www.uncrate.com/men/images/2009/04/mil-tac-tactical-defense-pen.jpg&imgrefurl=http://www.uncrate.com/men/gear/office/mil-tac-tactical-defense-pen/&usg=__p7SU_AYWDiQrvGDtU89kOBVV_U8=&h=410&w=470&sz=28&hl=en&start=8&itbs=1&tbnid=CeLyq9ygY_9FFM:&tbnh=113&tbnw=129&prev=/images%3Fq%3DPEN%26hl%3Den%26gbv%3D2%26tbs%3Disch:1http://www.google.com/imgres?imgurl=http://www.cubicletimes.com/wp-content/uploads/2009/10/ruler1.jpg&imgrefurl=http://www.cubicletimes.com/2009/10/inch-v-s-centimeter/&usg=__JcKC6fVJP_PYnc0ld1_vWeIYOaQ=&h=300&w=300&sz=25&hl=en&start=10&itbs=1&tbnid=qoidvQkA-y3EGM:&tbnh=116&tbnw=116&prev=/images%3Fq%3DRULER%26hl%3Den%26gbv%3D2%26tbs%3Disch:1http://www.google.com/imgres?imgurl=http://www.solarnavigator.net/images/rubber_typical_english_school_eraser.jpg&imgrefurl=http://www.solarnavigator.net/rubber.htm&usg=__ak7wyTdyxfKTSU-rNBKluz0F7WE=&h=487&w=769&sz=14&hl=en&start=1&itbs=1&tbnid=VLkBrghcg3_fNM:&tbnh=90&tbnw=142&prev=/images%3Fq%3DRUBBER%26hl%3Den%26gbv%3D2%26tbs%3Disch:1http://www.google.com/imgres?imgurl=http://4.bp.blogspot.com/_wjE4ujzdJ_o/SRoIiQjGaJI/AAAAAAAAAEM/NxX_qeKfgho/s400/Pensil.jpg&imgrefurl=http://irdzalalala.blogspot.com/2009/11/pensil-bukan-pinsil.html&usg=__YiaBtbWGo-_yFbHDhB3i0RNASu8=&h=400&w=400&sz=9&hl=en&start=2&itbs=1&tbnid=LVo8gI9XjC0ToM:&tbnh=124&tbnw=124&prev=/images%3Fq%3Dpensil%26hl%3Den%26gbv%3D2%26tbs%3Disch:1


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(b) Record the items and their prices systematically as in Table 1. Since

Items may be differently packed, be sure to use consistent measurements

for each item selected so that comparison can be done easily and

accurately.

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Table 1

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(c) Create at least two suitable graphical representations ( the use of ICT is

encouraged) to compare and contrast the prices of the items chosen.

CATEGORY ITEM PRICE (RM)

SHOP A SHOP B SHOP C

FOOD

1. Wheat

Flour

2. Sugar

3. Butter

4. Eggs

Total price

DETERGENT

1. Soap

2. Clorox

3. Soap

Powder

4. Fabric

Softener

Total price

STATIONERY

1. Pencil

2. Rubber

3. Ruler

4. Pen

Total price

GRAND TOTAL

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(d) Based on the graphical representations that you have constructed in Part

1(c), interpret, discuss and draw conclusions. Comments on your

findings.

(e) Identify an item that has a large price difference among the shops.

Calculate the mean and the standard deviation of that particular item.

Hence, suggest and discuss possible reasons for the price difference.

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PART 2

TASK 2

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Every year SMK Indah organizes a carnival to raise funds for the school.

This year the school plans to install air conditioners in the school library.

Last year, during the carnival, your class made and sold butter cakes.

Because of the popularity of butter cakes, your class has decided to carry outthe same project this years carnival.

(a) Suggest a shop from Part 1 from which you would go to purchase the

ingredients for the butter cakes. State and discuss your reasons for

purchasing from the shop you suggested.

(b) Complete Table 2 with the prices of the items found in the

shop/supermarket that you have chosen.

INGREDIENT QUALITY

PER CAKE

PRICE IN

THE YEAR

2009 (RM)

PRICE IN

THE YEAR

2010 (RM)

Self-raising flour 250 g 0.90 2.25

Sugar 200 g 0.35 0.70

Butter 250 g 3.30 8.25

Eggs (Grade A) 5 eggs (300 g) 1.25 3.75

Table 2

i. Calculate the price index for each of the ingredients in Table 2 for the

year 2010 based on the year 2009.

ii. Calculate the composite index for making a butter cake in the year

2010 based on the year 2009. Discuss how you obtained your

answers.

iii. In the year 2009, the butter cake was sold at RM15.00 each. Give

reasons for your answer.

(c)

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PART 3

TASK 3

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As a committee member for the carnival, you are required to prepare an

estimated budget to organise this years carnival. The committee has to take

into consideration the increase in expenditure from the previous year due to

inflation. The price of food, transportation and tents has increased by 15%.

The cost of games, prized and decorations remains the same, whereas the

cost of miscellaneous items has increased by 30%.

(a) Complete Table 3 based on the information given above.

EXPENDITURE AMOUNT IN 2009(RM)

AMOUNT IN 2010

(RM)

Food 1200.00 1380.00

Games 500.00 500.00

Transportation 300.00 345.00

Decorations 200.00 200.00

Prizes 600.00 600.00

Tents 800.00 920.00

Miscellaneous 400.00 520.00

Table 3

(b) Calculate the composite index for the estimated budget of the carnival in

the year 2010 based on the year 2009. Comment on your answer.

(c) The change in the composite index for the estimated budget for the

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carnival from the year 2009 to the year 2010 is the same as the change

from the year 2010 to the year 2011. Determine the composite index of

the budget for the year 2011 based on the year 2009.

FURTHER EXPLORATION

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Index numbers are being used in many different daily situations, for example

air pollution index, stock market index, gold index and property index.

Obtain information from the internet or other reliable sources on the

importance of two different types of index numbers of your choice.

Elaborate the use and the importance of these index numbers in daily life

situations.

Reflection

While you were conducting the project, what have you learnt? What moral

values did you practice? Represent your opinions or feelings creatively

through usage of symbols, illustrations, drawings, or even in a song.

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