Casio fx-350MS Installation and operation manual

i
Welcome to the world of CASIO scientific calculator. In this booklet, you will find some simple
mathematical problems of secondary school level, which are carefully selected to demonstrate the
use of the CASIO fx-350MS scientific calculator in performing mathematics operations. The
examples presented are among those commonly encountered while teaching and learning
mathematics in PMR and SPM levels (including Additional Mathematics) in Malaysia.
You will probably know by now that the calculator is a tool that could speed up calculations
efficiently and thus allows you to spend more time in understanding theories and logic of
Mathematics.
It is important to remember that this booklet is not meant to replace the User’s Guide that comes
with your CASIO fx-350MS scientific calculator. Do read the User’s Guide carefully before and
while using this booklet.
We at CASIO sincerely hope that you will enjoy working through the problems provided in this
booklet. Having understood the usage of your CASIO fx-350MS scientific calculator, may it
serve you more efficiently!
Nellie Gan Hong Suan obtained her Bachelor degree (Mathematics-Economics) from Universiti
Malaya and her Master degree (Management Science) from Universiti Utara Malaysia. She has
seventeen years experience of teaching Mathematics. She has also been involved in writing
workbooks and reference books for secondary school Mathematics. She is currently a lecturer in
Maktab Perguruan Teknik, Kuala Lumpur.
Lee Fui Fui obtained her Bachelor of Science (Mathematics) degree from Universiti Putra
Malaysia. She has three years experience of tutoring undergraduates in UPM. She has also been
writing manuals on CASIO Scientific Calculator and Graphics Calculator. She is currently
pursuing her Master degree.
Fong Mun Chou obtained his Bachelor degree (Mathematics) from Universiti Putra Malaysia. He
has conducted many CASIO Scientific Calculator workshops and Graphics Calculator workshops
for teachers. He has also been involved in writing manuals and in developing activities on
CASIO Graphics Calculator. He is currently a lecturer in a private college.
About this book…
About the authors…

ii
Purpose of this booklet…
This booklet is not intended to replace the fx-350MS User’s Guide, nor any mathematics
reference book. It is written with the hope that users of fx-350MS scientific calculator, especially
students, can acquire what we called “calculator skills”. These skills will not be tested in PMR
and SPM examinations. However, we believe having developed these skills, students’ interest in
studying mathematics will be enhanced further. Perhaps they would have more fun exploring and
investigating new mathematical ideas and concepts, and we wish to see in future students enjoy
doing mathematics and tackling challenging mathematical problems.
Structure of this booklet…
The booklet is written with the assumption that the user has secondary school
mathematics background. As it is designed for Form 2 to Form 5 students, worked examples in
this booklet are selected problems from some topics in PMR’s Mathematics and SPM’s
Mathematics and Additional Mathematics. A section called Quick Check is put in for users to try
out and gauge their “calculator skills”. Three activities are included in the Exploration and
Investigation section so that users may extend the use of fx-350MS to learn mathematics beyond
the conventional paper-pen-practice situation. Extension of some worked examples and short-cuts
on using the fx-350MS to perform calculations are included within these pages. Appendix 1 is a
list of English ~ Bahasa Malaysia mathematical terms used throughout the booklet.
Using this booklet…
Suppose you have no prior knowledge of using scientific calculator, then you should
begin by going through the worked-examples in Chapter 1-Let’s Get Started. Subsequently, you
should attempt exercises in Quick Check 1 to gauge your ‘calculator skills’, as this will help to
boost your confidence level. The worked examples in Chapter 2 to Chapter 8 range from Form 2
to Form 5 levels, thus we suggest that you select the topics that you are familiar with. You can
then attempt exercises in Quick Check 2, and try the Exploration and Investigation activities
during your leisure time.
Understanding the theories of mathematics requires one to spend time in improving and
reinforcing the fundamental principles by working through exercises provided in textbooks and
reference books. May this booklet and the fx-350MS scientific calculator help you in achieving
this.
Textbook,
Reference Books
Exercises User
Focus
Let’s Get
Started
Quick
Check 1
Exploration
Investigation
Quick
Check 2
Chapter 2
to 7

iii
TABLE OF CONTENTS
Let’sGetStarted 1
Quick Check 1 10
Surface Area and Volume of Solid 11
Quadratic Functions 12
Circular Measure 13
Exploration and Investigation 1 14
Permutations and Combinations 15
Elementary Statistics 16
Exploration and Investigation 2 18
Solutions of Triangles 19
Angles of Elevation and Depression 21
Quick Check 2 23
Exploration and Investigation 3 24
Appendix1 25

CHAPTER 1 Let’s Get Started
1
MODE
2
a
b
/
c
5
+
4
–
3
)
SHIFT
a
b
/
c
=
(
AC
AC
a
b
/
c
1
8
There are two things you need to know before we start:
To activate any function in yellow, precede it by pressing the SHIFT key.
To activate any function in red, precede it by pressing the ALPHA key.
Now, let’s have fun.
Evaluate 




−+ 8
3
4
5
2, expressing your answer in fraction form.
OPERATION
1. First choose COMP mode.
2. Now key in the expression.
When the calculator hangs with an “ERROR” message, press either , or .
Express the answer in Example 1 in decimal form and improper fraction
form.
OPERATION
1. Immediately after operations 1 and 2 in Example 1, press
2. Now, try pressing these keys.
Right after Example 2, try pressing followed by the Replay key .
Exam
p
le 1
COMP SD REG
1 2 3
Exam
p
le 2
a
b
/
c
2ª5+ (4-3ª8)
4
ª
1
ª
40
2ª5+ (4-3ª8)
4.025
2ª5+ (4-3ª8)
161
ª
40

CHAPTER 1 Let’s Get Started
2
8
3
MODE
•
4
5
˚’” =
1
3
+
MODE
x
2
6
x
2¡
=
1
5
SHIFT
INS
DEL
(
)
=
How many minutes are there in 8.345 hours?
OPERATION
1. First enter COMP mode.
2. Press the following keys.
This means 8.345 hours is equivalent to 8 hours 20 minutes and 42 seconds.
Pressing or when an “ERROR” message is displayed will position the cursor at
the location where the error occurred.
Calculate 563 22 ÷+ and 5)63( 22 ÷+ .
OPERATION
1. First enter COMP mode.
2. To calculate 563 22 ÷+ , press
3. Using the INS function to insert the parentheses, press
Press numerous times until the cursor is below ‘¡’, then press
Hence 2.16563 22 =÷+ and 95)63( 22 =÷+ .
Exam
p
le 3
8.345–
8
– 20 – 4
2
D
0
Exam
p
le 4
32+62¡5
16.
2
D
0
(32+62¡5
16.
2
(32+62)¡5
9

CHAPTER 1 Let’s Get Started
3
MODE
8
+
7
(
x
3
x
2
)
¡À
8
9
=
MODE MODE MODE
1
4
MODE MODE MODE
3
1
1
Ê
EXP
XÀ
Ì
4
+
3
5
=
SHIFT
(Ì
SHIFT
)
Exam
p
le 6
Evaluate 89)78( 23 +, expressing the answer correct to 4 decimal
places.
OPERATION
1. First choose COMP mode, then evaluate 89)78( 23 +.
2. To express the answer correct to 4 decimal places, press the following keys.
Choose 4 to specify the number of decimal places.
So the required answer is 59.4659. To return to normal mode (Norm), press
Evaluate 45
3π+ .
OPERATION
1. Key in the expression for evaluation. Make sure the calculator is in COMP mode.
Note that we can omit the bracket in performing this calculation.
Evaluate
4
2
51
1




π+ and express the answer correct to 5 significant figures.
Exam
p
le 5
D
0
(83+ 72)¡À89
59.4658810
7
(83+ 72)¡À89
59.4659
Fix 0~9?
4fiÀ(3^5+Ê)
3.960921648
Norm 1~2?

CHAPTER 1 Let’s Get Started
4
MODE
2
7
6
9
=
MODE MODE MODE
2
5
x
-1
X
•
3
5
X
•
2
9
1
4
+
5
)
6
=
x
-1
(
x
-1
x
-1
–
x
-1
SHIFT
STO
RCL
A
(
–
)
Find the area of the right-angle triangle given below, expressing your
answer correct to 5 significant figures.
OPERATION
1. After entering COMP mode, evaluate the area by using the formula heightbase ××
2
1.
2. Now to express answer correct to 5 significant figures, choose 5 to specify the number of
significant figures.
Note that this is not the final answer. Since the power of the 10 after 3.4169 is 1, we move
the decimal point one place to the right to obtain the required answer, i.e. 34.169cm.
Calculate
6
1
5
1
1
4
1
−
+and store this value into variable A..
OPERATION
1. While in COMP mode, press
2. To store the value into A, simply press
Try to think of other ways to key in the expression in Example 8.
Exam
p
le 7
D
0
2-
1
X 7.356 X 9.29
34.16862
7.356cm
9.29cm
2-1 X 7.356 X 9.29
3.4169
fi
10
01
4-1+(5-1-6-1)-1
30.25
4-1+(5-1-6-1)-1„A
30.25
Exam
p
le 8

CHAPTER 1 Let’s Get Started
5
2
3
9
X
1
7
%
=
–
2
3
9
SHIFT
X
2
8
%
=+
SHIFT
2
7
+
1
5
lo
g
lo
g
=
4
0
5
lo
g
=
A retailer is selling Kasio watches at the price of RM239 each. Calculate
the price of a Kasio watch after a
(i) 17% discount in price, (ii) 28% increase in price.
OPERATION
1. First calculate the discount.
2. The discount is RM40.63. The discounted price is
3. To calculate the price after a 28% increase, press
Therefore, the increased price is RM305.92.
Show that 15log27log +is equal to )1527log(
×
.
OPERATION
1. First, calculate 15log27log +while calculator is in COMP mode.
2. Now calculate 405log , since 4051527
=
×
.
Comparing the two results, it is therefore shown that )1527log(15log27log ×
=
+
.
Verify that 715×is equal to 715 ×. Also verify that 3553 )4()4( =.
Exam
p
le 9
239X17%
40.63
239X17%-
198.37
239X28%+
305.92
239X28%
66.92
Exam
p
le 10
log 27+log 15
2.607455023
log 405
2.607455023

CHAPTER 1 Let’s Get Started
6
8
1
=
tan
(
–
)
2
7
•
=
sin
2
DGRÈ
Ans
2
SHIFT
=
=
SHIFT
À
3
10
X
lo
g
=
Ans
Given 3)(log 2=A, determine the value of A.
OPERATION
1. First calculate the square root of 3.
2. To determine A, press
The value of
Ais approximately 53.96.
Whenever is pressed when performing calculations, the calculated value is stored into
Answer Memory .
Calculate )tan( °
−
218 and )rad7.2sin( .
OPERATION
1. While your calculator is in COMP/Deg (degree) mode, press
2. To calculate )rad7.2sin( , press
Hence, )218tan( °− and )rad7.2sin( are approximately -0.78 and 0.43 respectively.
Exam
p
le 12
tan -218
-0.781285626
sin 2.7
r
0.42737988
À3
1.732050808
10Ans
53.95737429
Exam
p
le 11

CHAPTER 1 Let’s Get Started
7
MODE MODE
2
5
8
•
DGRÈ
Ans
1
=
SHIFT
MODE MODE
1
•
DGRÈ
Ans
2
=
SHIFT
2
7
1
Convert °5.78 to its radian equivalent and rad1.2 to its degree equivalent.
OPERATION
1. First enter Rad mode, then perform the conversion.
Hence, °5.78 is approximately 1.37 radian.
2. Return to Deg mode and perform the conversion.
Hence, rad1.2 is approximately °32.120 .
Show that 6
πradian and 2
3πradian are equivalent to 30° and 270° respectively.
Exam
p
le 13
78.5–
1.370083463
D
0
2.1
r
120.321137
R
0

CHAPTER 1 Let’s Get Started
8
MODE
1
MODE MODE
1
3
=
SHIFT
cos-
1
cos
0
•
8
˚’”
3
=
6
0
–
Ans
˚’”
Find all angles between °0and °360 inclusive which satisfy the equation
38.0cos =x.
OPERATION
1. First make sure your calculator is in COMP/Deg mode.
2. Now, evaluate 38.0cos 1−to determine α, the basic angle.
3. Press once and thus obtaining the basic angle
αas approximately '4067°.
4. To determine the second angle, which lies in the fourth quadrant, press
`
Therefore the solutions are '4067°and '20292°, approximately.
Using similar operations as in Example 14, find all angles between °0and °360 inclusive which
satisfy the equation 53.0cos =x.
cos-1 0.38
67.66631734
Exam
p
le 14
D
0
cos-1 0.38
67
– 39 – 58.74
360-Ans
292.3336827
360-Ans
292
– 20 – 1.26

CHAPTER 1 Let’s Get Started
9
2
3
SHIFT
STO
RCL
X
)
3
(
–
)
4
+
x
2
A
LPH
A
X
)
A
LPH
A
X
)
–
=
SHIFT
STO
RCL
X
)
2
(
–
)
=
SHIFT
STO
RCL
X
)
1
(
–
)
=
X
=
For 432 2−+= xxy , calculate the values of yfor 33≤≤− x.
Construct a table using these values. Take
x
as integer.
OPERATION
1. While in COMP mode, store the value of 3
−
into the variable X.
2. Then key in the expression 432 2−+ xx using the ALPHA key.
This means 5
=ywhen 3
−
=xis substituted into the function 432 2−+= xxy .
3. Then determine the value of
y
when 2
−
=
x. Press
followed by
This means 2−=ywhen 2
−
=x.
4. And to determine value of
y
when 1
−
=
x, press
followed by
This means 5
−=ywhen 1
−
=x.
5. Use similar operations as in step 3 to find the values of
y
when 3,2,1,0
=
x. The values
obtained are 23,10,1,4
−=yrespectively. Hence, we can construct a table of the function
432 2−+= xxy for 33
≤
≤− x.
x -3 -2 -1 0 1 2 3
y 5 -2 -5 -4 1 10 23
Edit an expression or calculations by using or .
For example, to edit 354 +to 354 ×, press numerous times until the cursor is below the ‘+’
sign, then press
-3„X
-
3
Exam
p
le 15
2X2+3X-4
5
-2„X
-
2
2X2+3X-4
-2
-1„X
-
1
2X2+3X-4
-5
7

10
Using your calculator, work through these exercises to gauge your ‘calculator
skills’.
1. Evaluate (a) 3
)25.7(−(b) 9
4
8
3
7
2×− (c) 5
)6.11(
2. Evaluate (a) °178sin (b) °45tan (c) 100log
3. Evaluate (a) 85.3
10 (b)
5150 (c) 36.0sin 1−
4. Find the value of
x
for which 878.2log
=
x.
5. What is the value of
x
, given that 7 ex =?
6. Perform the following: A→5, B→3, C→
−
4, D→53,E→
π
. Then, evaluate
E
C
D
BA 5
2−×+ .
7. Express (a) °68.112 (b) '45245°(c) 5123650
′
′
′
°in radian.
8. Express (a) rad11.3 (b) rad
3
7(c) rad9.2
−
in degree.
9. Which is greater? )1.0cos( °or )1.0cos( rad ?
10. Evaluate 







π
+=
−
12
log
4
2
3x
ABy where 7
=
A, 3
1
=Band 97.2
=
x.
To check answers please see page 20 of this booklet.
Q
uick Check 1

CHAPTER 2 Surface Area and Volume of Solid
11
1
2
3
SHIFT
x
2
1
8
1
=
MODE
Ê
EXP
+
2
SHIFT
Ê
EXP
3
X
•
X
X
A cylindrical can is such that the height of the can is 11.8cm and its
radius is 3cm. Find the amount of material needed to produce this can.
OPERATION
1. First enter COMP mode.
2. Calculate the area of the can using cylindrical formula, jtj π+π 22 2.
Therefore, the amount of material needed to produce this can is 278.97cm2.
Find the volume of the can in the example given above.
Exam
p
le 1
D
0
2ÊX32+2ÊX3X11.8
278.9734276
11.8cm
3cm

CHAPTER 3 Quadratic Functions
12
–=
1
1
1
+
(
–
x
2
1
5
4
X
2
X
)
2
¡
(
2
X
)
À
=
=
=
3
+
¡
2
(
–
)
1
)
(
=
=
Determine the roots and axis of symmetry of the quadratic function
15112 2+−= xxy .
OPERATION
1. Use the formula a
acbb
x2
4
2−±−
=to determine the roots. While in COMP mode,
press
The first root is 3.
2. To determine the second root, we use the REPLAY function.
Press once to return to this display screen on right.
Press numerous times until the cursor is below the ‘+’ sign.
Now press
Followed by the key strokes
The second root is 2.5.
3. To find the axis of symmetry, press
The axis of symmetry is 75.2=x
You may scroll through the last nine calculations by pressing the Replay function .
Exam
p
le 1
11+À( (-11)2-4X2X15
12
Ans¡(2X2)
3
11-À( (-11)2-4X2X15
10
Ans¡(2X2)
2.5
Ans+3
5.5
Ans¡2
2.75
11+À( (-11)2-4X2X15
12

CHAPTER 4 Circular Measure
13
MODE
2
1
2
6
0
SHIFT
a
b
/
c
X
2
X
1
1
2
2
x
2
SHIFT
a
b
/
c
X
0
sin
X
6
DGRÈ
Ans
1
RCL
–
M+
=
=
=
MODE
M+
DGRÈ
Ans
0
STO
RCL
M
M
+
SHIFT
x
2
AOB is a sector of a circle with centre at O and radius 2cm. Find the area
of the shaded region.
OPERATION
1. First enter Rad (radian) mode.
2. Calculate the area of sector using the formula θ
2
2
1rand store the calculated result.
3. Now calculate the area of the triangle AOB using the formula θsin
2
12
r.
4. The area of the shaded region is
Therefore, the area of shaded region is approximately 0.3623cm2, ignoring the negative
sign.
Show that the length of arc AB in the above example is approximately 2.0944cm.
Press to clear the memory stored in M.
Exam
p
le 1
R
0
1ª2X22X sin 60–
1.732050808
Ans-M
-0.362344294
A
O 60°
B
2cm
2cm
1ª2X 60–X22
2.09439510
2

14
6
SHIFT
1
+
Ran#
•
=
= =
Simulating Die Throws
=
The faces of a cubical die are numbered from one to six. The probability of getting any one of
these numbers is 6
1. Here we would like to suggest a way of simulating series of throws,
using the Ran# function of fx-350MS, without using the actual die.
Procedure
1. Set your calculator to COMP mode.
2. Key in 16Ran#+, that is: followed by
You will probably see something similar to the screen on
the right. (Your displayed result may be different.)
3. Continue pressing . Notice that for each press of , the displayed output
will change.
4. To simulate 5 throws (five times), first key in the formula 16Ran#
+
and press .
Suppose you get the display on the right. By taking the
unit digit, i.e. 5, the first throw is 5.
Next, we press
Key Press Display Number generated
Second throw
6Ran#+1
3.832
3
Third throw
6Ran#+1
6.268
6
Fourth throw
6Ran#+1
2.278
2
Fifth throw
6Ran#+1
6.454
6
Hence, our simulation generates the throws of 5, 3, 6, 2, 6. Your simulation may generate
different outputs.
=
=
=
=
6Ran#+1
5.296
6Ran#+1
5.11
Exploration and
Investi
g
ation 1

CHAPTER 5 Permutations and Combinations
15
=
=
nPr
nCr
5
SHIFT
4
3
5
nCr
4
0
SHIFT MODE
3
=
A Mathematics Society committee consists of a president, a vice-
president, a secretary and a treasurer. How many ways can such a
committee be chosen from 45 members?
OPERATION
1. To determine
This means that there are 3,575,880 ways to form the committee.
A group of five students is to be chosen from a class of 30 for a debate.
In how many ways can such a group be formed?
OPERATION
1. To form a combination of any five students from 30 students, press
This means that the number of combination is 142,506.
Pressing will erase all memory and return the calculator
to its default mode: COMP mode.
45P4
3,575,880
30Ç5
142,50
6
Exam
p
le 2
Exam
p
le 1

CHAPTER 6 Elementary Statistics
16
=
2
+
5
4
5
0
=
2
+
5
9
5
5
MODE
2
=
=
¡
¡
2
SHIFT
;
’
1
0
M
+
5
7
SHIFT
;
’
1
1
M
+
5
The weight distribution of 100 students is given in the table. Calculate an
estimate of the mean and the standard deviation for this distribution.
Weight (kg) Frequency
50-54 10
55-59 11
60-64 22
65-69 29
70-74 12
75-79 16
OPERATION
1. First, determine the mid-point for all class intervals.
Then,
2. Use similar operations as in step 1 to find the rest of the mid-points, we will get the result
as below.
3. Now enter SD (standard deviation)mode. Press
4. Input all data obtained in step 2.
Weight (kg) Mid-point Frequency
50-54 52 10
55-59 57 11
60-64 62 22
65-69 67 29
70-74 72 12
75-79 77 16
Exam
p
le 1
50+54
104
Ans¡2
52
55+59
114
Ans¡2
57
SD D
0
n= SD D
10
n= SD D
21

CHAPTER 6 Elementary Statistics
17
SHIFT
S-VAR
2
1
SHIFT
S-VAR
2
=
=
SHIFT
3
SHIFT
;
’
5
;
’
2
SHIFT
;
’
2
2
M
+
6
7
SHIFT
;
’
2
9
M
+
6
2
SHIFT
;
’
1
2
M
+
7
7
SHIFT
;
’
1
6
M
+
7
SHIFT
1
MODE
=
2
5. An estimate of the mean is
6. To find the standard deviation of weight, press
To input multiple entries of the same data, use . For example, pressing
input the data 3, five times.
Press to clear all statistics memory before performing the next
statistical calculation.
x
65.5
ËÁn
7.466592262
n= SD D
43
n= SD D
72
n= SD D
84
n= SD D
100