additional mathematics project 2014
DESCRIPTION
additional mathematics project work 2014form 5johorgraph and table statisticsTRANSCRIPT
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).