additional mathematics project 2014

ADDITIONAL MATHEMATICS

PROJECT WORK 2014

NAME :

CLASS :

I/C NO :

TEACHER:

No. TOPIC PAGE1. CONTENT2. ACKNOWLEDGEMENT 3. INTRODUCTION4. PREFACE5. PART A

a) Way of using moneyb) Collecting data : amount of saving from all 50

classmates receiving the aidc) i) Statistical Graph

ii) Calculation of mean and standard deviation of total savings.

d) Calculation of new mean and new variance of new total savings.

6. PART B- Total saving after 10 years in Bank X- Total saving after 10 years in Bank Y.- Comparison between Bank X and Bank Y.

7. PART Ca) Plot a graph of y against x.b) Plotting a graph with best fit line.

c) Calculation:(i) Value of k and p.(ii) Muthu’s savings when Ali’s savings is

RM 55.008. FURTHER EXPLORATION9. REFLECTION10 CONCLUSION

CONTENT

My Expenditure from the Financial Aid

Presented in pie chart:

20%

30%

30%

20%

Education

Donation

Other expenses

Savings

My Expenditure from the Financial Aid

Presented in bar graph:

Education Donation Other expenses Savings0

5

10

15

20

25

30

35

Usage

Perc

enta

ge (%

)

b) I have conducted a survey to collect data on the amount of savings from all of my classmates receiving the aid. Here’s the outcome:

Total Savings (RM) Number of Pupils Midpoint, x1-10 5 5.511-20 10 15.521-30 14 25.531-40 5 35.541-50 6 45.551-60 4 55.561-70 2 65.571-80 2 75.581-90 1 85.591-100 1 95.5

Total Savings (RM) ≤10 ≤20 ≤30 ≤40 ≤50 ≤60 ≤70 ≤80 ≤90 ≤100Number of pupils 5 15 29 34 40 44 46 48 49 50

c) Based on the table,

(i)The data collected is represented in three different statistical graph:

The saving amount of 5AMANAH students

10%

20%

28%

10%

12%

8%

4%

4%

2% 2%

Number of Pupils

1-10

11-20

21-30

31-40

41-50

51-60

61-70

71-80

81-90

91-100

Pie Chart

The saving amount of 5AMANAH students

5.5 15.5 25.5 35.5 45.5 55.5 65.5 75.5 85.5 95.50

2

4

6

8

10

12

14

16

Total Savings (RM)

Num

ber

of P

upils

Histogram

The saving amount of 5AMANAH students

1-10 11-20 21-30 31-40 41-50 51-60 61-70 71-80 81-90 91-1000

2

4

6

8

10

12

14

16

Total Savings (RM)

Num

ber o

f Pup

ils

Bar chart

PART C

The following are the savings in RM, of two students, Ali and Muthu for the first seven months, where x is Ali’s savings and y is Muthu’s savings.

x 25 35 51 65 77 90 100y 50 51 52 54 61 67 73

(a) Graph of y against x:

py=1x+kx

20 30 40 50 60 70 80 90 100 1100

10

20

30

40

50

60

70

80

Graph of y against x

(b) Reducing non-linear graph into linear graph:

y

x

x² 625 1225 2601 4225 5929 8100 10000

xy 1250 1785 2652 3510 4697 6030 7300

xy= kpx2+ 1

p

0 2000 4000 6000 8000 10000 120000

1000

2000

3000

4000

5000

6000

7000

8000

x²

xy Graph of xy against x2

Maybank BSN

Credit balance Interest RateUp to RM25,000 0.30%

Up to RM50,000 0.40%

Up to RM100,000 0.95%

Up to RM200,000 1.35%

Up to RM500,000 1.56%

Above RM500,000 1.66%

Rates :

Credit Balance Interest RateUp to RM5,000 0.40%Up to RM50,000 0.80%Above RM50,000 1.10%

Rates :

Benefits: Earn interest irrespective of account

balance No service or maintenance charge as

long as a minimum balance of RM20 is maintained

Free mini statement

Benefits: Ease of account opening with RM10 Savings Passbook provided. Waiver of annual fee for Bank Card /

ATM Card. Free six (6) over the counter visits per

month. Free eight (8) ATM Cash Withdrawals

per month. Free ATM Mini Statement. No charges imposed upon closing of

account.*

FURTHER EXPLORATION

There are many saving plans offered in the market nowadays. I've done some researches on basic savings plans from two different financial institution - MayBank and Bank Simpanan Nasional (BSN).