Table of Contents
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About this book...
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!
About the authors...
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.
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Table of Contents
Related Manuals for Casio fx-350MS
Summary of Contents for Casio fx-350MS
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Page 1: About This Book
About this book… 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. - Page 2 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.
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Page 3: Table Of Contents
TABLE OF CONTENTS Let’s Get Started Quick Check 1 Surface Area and Volume of Solid Quadratic Functions Circular Measure Exploration and Investigation 1 Permutations and Combinations Elementary Statistics Exploration and Investigation 2 Solutions of Triangles Angles of Elevation and Depression Quick Check 2 Exploration and Investigation 3 Appendix 1... -
Page 4: Let's Get Started
CHAPTER 1 Let’s Get Started 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. - Page 5 CHAPTER 1 Let’s Get Started Example 3 How many minutes are there in 8.345 hours? OPERATION 1 . First enter COMP mode. MODE 2 . Press the following keys. 8.345– • ˚’” – – This means 8.345 hours is equivalent to 8 hours 20 minutes and 42 seconds. Pressing when an “ERROR”...
- Page 6 CHAPTER 1 Let’s Get Started Example 5 Evaluate , expressing the answer correct to 4 decimal places. OPERATION 1 . First choose COMP mode, then evaluate MODE )¡À89 ¡ À 59.46588107 2 . To express the answer correct to 4 decimal places, press the following keys. MODE MODE MODE...
- Page 7 CHAPTER 1 Let’s Get Started Find the area of the right-angle triangle given below, expressing your Example 7 answer correct to 5 significant figures. 9.29cm OPERATION 7.356cm 1 . After entering COMP mode, evaluate the area by using the formula ×...
- Page 8 CHAPTER 1 Let’s Get Started A retailer is selling Kasio watches at the price of RM239 each. Calculate Example 9 the price of a Kasio watch after a (i) 17% discount in price, (ii) 28% increase in price. OPERATION 1 . First calculate the discount. SHIFT 239X17% 40.63...
- Page 9 CHAPTER 1 Let’s Get Started Given , determine the value of A . (log Example 11 OPERATION 1 . First calculate the square root of 3. À À3 1.732050808 2 . To determine A , press SHIFT 53.95737429 The value of A is approximately 53.96. Whenever is pressed when performing calculations, the calculated value is stored into Answer Memory...
- Page 10 CHAPTER 1 Let’s Get Started ° 5 to its radian equivalent and to its degree equivalent. Convert Example 13 OPERATION 1 . First enter Rad mode, then perform the conversion. MODE MODE DGRÈ SHIFT • 78.5– 1.370083463 ° 5 Hence, is approximately 1.37 radian.
- Page 11 CHAPTER 1 Let’s Get Started Find all angles between ° 0 and ° 360 inclusive which satisfy the equation Example 14 cos = OPERATION 1 . First make sure your calculator is in COMP/Deg mode. MODE MODE MODE 1 − 2 .
- Page 12 CHAPTER 1 Let’s Get Started − − ≤ ≤ , calculate the values of y for Example 15 Construct a table using these values. Take x as integer. OPERATION 1 . While in COMP mode, store the value of − into the variable X.
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Page 13: Quick Check 1
Quick Check 1 Using your calculator, work through these exercises to gauge your ‘calculator skills’. − × 1. Evaluate (− ° ° 2. Evaluate 1 − 3. Evaluate log = 4. Find the value of x for which 5. What is the value of x , given that →... -
Page 14: Surface Area And Volume Of Solid
CHAPTER 2 Surface Area and Volume of Solid A cylindrical can is such that the height of the can is 11.8cm and its Example 1 radius is 3cm. Find the amount of material needed to produce this can. 11.8cm OPERATION 1. -
Page 15: Quadratic Functions
CHAPTER 3 Quadratic Functions Determine the roots and axis of symmetry of the quadratic function Example 1 − OPERATION − ± − 1 . Use the formula to determine the roots. While in COMP mode, press (–) À – 11+À( (-11) -4X2X15 Ans¡(2X2) ¡... -
Page 16: Circular Measure
CHAPTER 4 Circular Measure AOB is a sector of a circle with centre at O and radius 2cm. Find the area Example 1 of the shaded region. 60° OPERATION 1. First enter Rad (radian) mode. MODE MODE 2. Calculate the area of sector using the formula θ... -
Page 17: Exploration And Investigation
Exploration and Investigation 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 . 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. -
Page 18: Permutations And Combinations
CHAPTER 5 Permutations and Combinations A Mathematics Society committee consists of a president, a vice- Example 1 president, a secretary and a treasurer. How many ways can such a committee be chosen from 45 members? OPERATION 1. To determine 45P4 SHIFT 3,575,880 This means that there are 3,575,880 ways to form the committee. -
Page 19: Elementary Statistics
CHAPTER 6 Elementary Statistics The weight distribution of 100 students is given in the table. Calculate an Example 1 estimate of the mean and the standard deviation for this distribution. Weight (kg) Frequency 50-54 55-59 60-64 65-69 70-74 75-79 OPERATION 1. - Page 20 CHAPTER 6 Elementary Statistics SHIFT ’ SHIFT ’ SHIFT ’ SHIFT ’ 5. An estimate of the mean is S-VAR SHIFT 65.5 6. To find the standard deviation of weight, press S-VAR SHIFT ËÁn 7.466592262 SHIFT To input multiple entries of the same data, use .
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Page 21: Exploration And Investigation
Exploration and Investigation Sequence of Numbers One way of generating sequence of numbers is by using the key. Suppose we want to generate a sequence with general term , for Procedure 1 . Make sure your calculator is in COMP mode. Then key in the following: followed by What do you see ? Our display screen is as shown on the right. -
Page 22: Solutions Of Triangles
CHAPTER 7 Solutions of Triangles ∠ ° EFG is an isosceles triangle in which . FG is produced to Example 1 ° y H. Find 104° y° OPERATION 1 . First calculate ∠ . While in COMP/Deg mode, press – (180-104)¡2 ¡... - Page 23 CHAPTER 7 Solutions of Triangles ABC is a triangle in which AB = 4cm, AC = 5.4cm and BC = 8cm. Find Example 3 ∠ 5.4cm OPERATION − 1 . Use the formula ∠ ∠ to determine . Ensure × ×...
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Page 24: Angles Of Elevation And Depression
CHAPTER 8 Angles of Elevation and Depression An observer stands at A , which is at the top of a tower, AC . He sees a Example 1 car on the road at B , which is 60m from C . The angle of depression of °... - Page 25 CHAPTER 8 Angles of Elevation and Depression Three points N, Y and W are at sea level. Y is the foot of a vertical Example 2 lighthouse. N is 257m due north of Y and W is due west of Y. The height of the light house is 52m.
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Page 26: Quick Check 2
Quick Check 2 Using your calculator, work through these exercises to gauge your mathematics skills and ‘calculator skills’. (c) 9! 1. Evaluate 2. What is the output of Pol (3,4)? How about Pol (6,8) and Pol (12,5)? 3. The following is the Mathematics test scores of 30 students. ∑... -
Page 27: Exploration And Investigation
Exploration and Investigation Whose Number is Greater? Random numbers are very useful, especially in the study of Statistics. Here is a ‘Random Number’ game that you and your friend(s) may like to play. Procedure 1. Set your calculator to COMP mode. 2. -
Page 28: Appendix 1
Appendix 1 English ~ Bahasa Malaysia Mathematical Terms Bahasa Malaysia English Sudut tundukan Angle of depression Sudut dongakan Angle of elevation Lengkok Luas Area Paksi simetri Axis of symmetry Sukatan membulat Circular measure Selang kelas Class interval Gabungan Combinations Perpuluhan Decimal Taburan Distribution...