Cambodian Mathematics Generation

Volunteer Math Trainers

2011-04-26T14:25:00.000+07:00

Dear all,

We are looking for volunteer math trainers for grade 9-12 for upcoming training course. Requirement for volunteer trainers are:

1. have good knowledge in Math
2. at least 12 grade ( 2010-2011 )
3. willing to contribute to the group and help next generation
4. have good records in high school is preferable, but not a MUST ( municipal or national outstanding students )
5. willing to spend time with students

NOTE: Experience is NOT required. We will discuss more on teaching methodology

Interested candidate, please send your CV ( can attach your comments and suggestions ) to info@groupcmg.org by 22nd May 2011.

Group President,
S.Reaksmey

Check out our new website!

2010-07-21T00:41:00.000+07:00

www.groupcmg.org

សៀវភៅ Magic Math មាននៅលើទីផ្សារវិញហើយ!

2010-04-12T21:24:00.000+07:00

ក្រោយពីបាត់មុខពីទីផ្សារក្នុងរយៈពេលដ៏យូរមក សៀវភៅ Magic Math ត្រូវបានបោះពុម្ពជាលើកទី២ ជាមួយនឹងមុខមាត់ថ្មីនិងការកែប្រែខ្លឹមសារមួយចំនួន។ ដូច្នេះសៀវភៅនេះនឹងមាននៅលើទីផ្សារវិញហើយបន្ទាប់ពីបុណ្យចូលឆ្នាំប្រពៃណីខ្មែរ ដែលលោកអ្នកអាចរកជាវបាននៅផ្តុំវិទ្យាល័យបាក់ទូក សាលាជ័យថាវី និងក្នុងពេលឆាប់នៅតាមស្តង់នានា និងបណ្ណាគារផ្សេងៗ។ ខ្ញុំបាទសង្ឃឹមជឿជាក់ថា មិត្តៗ សិស្សានុសិស្សទាំងអស់នឹងបន្តគាំទ្រស្នាដៃនេះ។

ទំនាក់ទំនងជាវដុំ និងចម្ងល់នានា ៖
ទូរស័ព្ទលេខ ៖ 012 77 44 09
Email : group_cmg@yahoo.com

New book is now available on market!!!

2010-04-07T11:39:00.003+07:00

This is the 2nd book I have compiled after the first book, Magic Math. This 2nd book called " SIMPLY UNIQUE 1 ", is totally different from the first book. Unlike Magic Math which focus on outstanding student competitions and olympiad level, SIMPLY UNIQUE 1 is for all levels of students and everyone, mainly focus on tips to faster in calculating arithmatics and increase the speed of doing exercises. Hope to see supports and comments from all of you. Further info or demand please contact:
Phone : +855 12 77 44 09
Email :group_cmg@yahoo.com

New membership selection!

2010-03-14T10:14:00.000+07:00

ដោយយើងសង្កេតឃើញថាដំណើរការរបស់ក្រុមកន្លងមកមិនទាន់មានភាពរលូននៅឡើយ ក្រុមយើងក៏បានកំណត់គម្រោងថ្មីផ្សេងៗទៀតសម្រាប់ការអនុវត្តន៍នៅជំហានទី២ ( មិនា ២០១០ ដល់ មិនា ២០១១ )។ ហេតុដូច្នេះហើយយើងសម្រេចជ្រើសរើសសមាជិកថ្មីបន្ថែមទៀតដើម្បីចូលរួមចំនែកជាមួយក្រុមក្នុងការអនុវត្តគម្រោងបន្តបន្ទាប់ទៀត។ ដោយឡែកយើងនឹងដកសមាជិកភាពរបស់សមាជិកចាស់មួយចំនួន ដូច្នេះប្រសិនបើសមាជិកដែលមានបំណងចង់បន្តសមាជិកភាព សូមមេត្តាផ្តល់ពត៌មានឲយើងខ្ញុំ។ មិត្តភក្តិទាំងឡាយណាដែលចង់ចូលរួមជាសមាជិក និងសមាជិកដែលចង់បន្តសមាជិកភាពសូមបំពេញ បែបបទនេះ។ ក្នុងនោះមានសមាជិកមានបីប្រភេទដែលមានលក្ខខណ្ឌដូចតទៅ៖

យ់ាងហោចជានិស្សិតឆ្នាំទី១ ( លើកលែងសមាជិកដែលកាន់ខាងកុំព្យូទ័រ )
មានចំណេះខ្ពស់យ៉ាងតិចមួយក្នុងចំណោម គណិតវិទ្យា រូបវិទ្យា អក្សរសាស្រ្តខ្មែរ អង់គ្លេស និង កុំព្យូទ័រ(webpage design)
មានប្រវត្តិរូបល្អក្នុងការសិក្សា(អតីតសិស្សពូកែទូទាំងប្រទេសត្រូវបានលើកទឹកចិត្ត)
មានឆន្ទៈក្នុងការចូលរួមការងារក្រុម និងអប់រំអ្នកដទៃ
មានសីលធម៌ល្អ និង ចេះយោគយល់គ្នា

យ់ាងហោចជាជាសិស្សថ្នាក់ទី១១
មានចំណេះល្អយ៉ាងតិចមួយក្នុងចំណោម គណិតវិទ្យា រូបវិទ្យា អក្សរសាស្រ្តខ្មែរ អង់គ្លេស និង កុំព្យូទ័រ
មានប្រវត្តិរូបល្អក្នុងការសិក្សា
មានឆន្ទៈក្នុងការចូលរួមការងារក្រុម អប់រំអ្នកដទៃ និងរៀនសូត្របន្ថែម
មានសីលធម៌ល្អ និង ចេះយោគយល់គ្នា

មានឆន្ទៈក្នុងការចូលរួមការងារក្រុម និងខិតខំសិក្សា
មានសីលធម៌ល្អ និង ចេះយោគយល់គ្នា
ចង់ក្លាយជាសិស្សពូកែ និង ចូលរួមអភិវឌ្ឍសង្គម

ប្រសិនបើមិត្តទាំងឡាយណាមានចំណាប់អារម្មណ៍ សូមមេត្តារួសរាន់បំពេញនិងដាក់ពាក្យនៅផ្ទះលេខ០៩ ផ្លូវ២០៥ សង្កាត់ទួលស្វាយព្រៃ២ ខណ្ឌចំការមន ក្រុងភ្នំពេញ រឺផ្ញើ Email មកកាន់ group_cmg@yahoo.com រឺ darareaksmeys@yahoo.com។ សម្រាប់ពត៌មានបន្ថែម សូមទំនាក់ទំនងលេខទូរស័ព្ទ +855 12 77 44 09
ផុតកំណត់ទទូលពាក្យ ៖ ថ្ងៃទី ២៥ ខែ មិនា ឆ្នាំ ២០១០
បញ្ជាក់ ៖ សូមមេត្តារួសរាន់ ព្រោះការដាក់ពាក្យពុំមានបង់ប្រាក់ទេ តែនាពេលឆាប់ៗខាងមុន យើងនឹងកំណត់តម្លៃសមាជិកភាព!!!

Online Mathematics Competition!

2010-02-11T21:58:00.004+07:00

Following message is a information we got from an Indian institute about an online competition which will be held on Saturday, 13th February from 4:30pm to 7pm (Phnom Penh time) and other competitions which you can find out more from the following link.

Hello Math Enthusiast,
After huge success of MathmatiKa '09, we are back with MathematiKa 2K10 with some new challenges of Mathematics. IIIT-Hyderabad, India cordially invites you to be a part of Mathematika 2K10, an online competition that emphasizes on fusion of mathematics and computing.

Where: http://felicity.iiit.ac.in/~math
TestRun: 16th February, 2010
Main Event: 17th February, 2010

This Online Math Contest will consist of 10-12 problems made randomly from different domains of existing Math. All problem statements will be visible to the contestant from the start of contest spanning over a 8 hour period. The solution to each problem would be an integer or a floating point number which is to be submitted in real-time.

Also, make sure to bring your appetite for math, programming and fun. There will be plenty of all three to go around.

Regards
Mathematika 2K10 Team
http://felicity.iiit.ac.in/~math

find out previous problems click here

Group reform!

2010-01-27T13:16:00.002+07:00

Cambodidan Mathematics Generation was founded on October 2008 by gathering former outstanding students especially in Mathematics during high school education and choosing new generations who are willing to learn as well contribute to social development in the future. The purpose of this group establishment is mainly to contribute to development education sector in Cambodia by trying support students with advices, documents and trainings. Base on the concept of "people who know more help people who know less" meaning that all members have equal rights to give others advices or ideas to others depending on what they know.
It has been over one year of process with the first plan policy which focus on sharing knowledge via internet. Since this is our first experience also a try for us, we admit that there have been many problems during the period due to the business of most members; however, we also would like to offer thanks to all members and contributors who have contributed the the group. Actually, not only this one plan, our group still have many more plans to work. Therefore, since number of our active members is very limited which is one the major factor for the past slow progress, thus we decided to reform some of our group policies in order to strengthen and improve the group. At the same time, without your contributions, there might be still many difficulties for us to settle. Thus, we would like to ask for volunteers especially those who think you can contribute to the group during this 2nd plan with good knowledge of subjects or skills such as Mathematics, Computer, Webpage design, Literature, etc.

If you are interested in, we are planning to have a meeting with everyone on Sunday, 7th February 2010 (actual time and place will be confirmed later).

Objectives of the meeting are focusing on:

Vision of the group
Major plan for the 2nd year of the group (March 2010 to March 2011)
Arrangement for weekly meetings and activities
Selection of local active members
Group structure and duties and a few more points.

If anyone(don't have to be recent members) want to participate in the meeting, please inform us beforehand by sending us your full name, phone number, Email, Occupation, subjects or skills you may be able to contribute to the group, and available time to attend the meeting, to:
Email : group_cmg@yahoo.com or darareaksmeys@yahoo.com or sms to
Phone : +855 12 77 44 09

For oversea members who are interested in this reform, please kindly share us some ideas or suggestion for the new structure and policies of the group.

Thanks in advance to the contribution to education sector in Cambodia.

Saing Darareaksmey,
Group president

SUSI, Study of The United States Institutes For Student Leaders

2010-01-21T00:33:00.001+07:00

The Public Affairs Section of the U.S. Embassy is pleased to announce the opportunity to participate in FY-2010 Study of the United States for Student Leaders, specifically for those who have worked on the promotion of Global Environmental issue. The program will take place over the course of five weeks, July and August, 2010, for a group of 20 students from Cambodia, Laos and Vietnam.

The Study of the U.S. Institutes for Student Leaders are intensive academic programs whose purpose is to provide groups of undergraduate student leaders with a deeper understanding of the United States, while simultaneously enhancing their leadership skills. The institute will consist of a balanced series of seminar discussions, readings, group presentations and lectures. The coursework and classroom activities will be complemented by educational travel to other parts of the United States, local site visits, and volunteer opportunities. The institute will include an academic residency component of approximately four weeks and a domestic travel component of approximately one week that will conclude with a 2-3 day program in Washington, D.C.

The Study of the U.S Institute on Global Environmental Issues will explore the Role that environmental policy has played in the economic and political development of the U.S. The institute will use experiential learning techniques to expose participants to current themes in the field, including natural resource management, sustainable development/agricultural practices, food security, ecotourism, energy generation (new and traditional forms), and water management and treatment. The Institute might also examine the relationship between environmental security and national security.

All candidates should be proficient in English so that they can be an active participant in the academic program. Host institutions will take into account that the level of comprehension and speaking ability of students may vary, and will prepare lectures and discussions that meet the highest academic standards while using language appropriate for students where English is their second or third language. The participants are expected to be highly motivated first through third year undergraduate students from colleges, universities, and other institutions of higher education, who demonstrate leadership through academic work, community involvement, and extracurricular activities. Candidates will have a strong interest in the environment and may come from various fields of study and will include Agriculture, Biology, Ecotourism, Engineering, Environmental Law, Environment Science, International Affairs, Public Policy and Sustainable Development. Participants from non-elite backgrounds, from both rural and urban sectors, and with little or no prior experience in the United States or elsewhere outside their home country are encouraged to apply for this program.

To be eligible, applicants must:

have a strong interest in the environment;

be fluent in English with minimum TOEFL score of 500 or 61 on Internet-based TOEFL or higher;

be typically 25 years of age or younger;

first to third year undergraduate students;

be committed to returning to their home universities following completion of their institute program;

demonstrate strong leadership qualities and potential in their university and community activities, especially in environmental issues;

indicate a serious interest in learning about the United States;

have a sustained high level of academic achievement, as indicated in grades, awards, and teacher recommendations;

have demonstrated commitment to community and extracurricular university activities;

have had little or no prior study or travel experience in the United States or elsewhere outside of their home country;

be mature, responsible, independent, confident, open-minded, tolerant, thoughtful and inquisitive;

be willing and able to fully participate in an intensive academic program, community service, and educational travel program; and

be comfortable with campus life, prepared to share living accommodations, and able to make adjustments to cultural and social practices different from those of their home country.

Application Instruction

Applications may be downloaded from Click here or picked up at the American Corners at Pannasastra University of Cambodia (PUC), the Educational Advising Center, Royal University of Phnom Penh (RUPP), and at the Public Affairs Section of the U.S. Embassy. Interested applicants must submit completed applications and supporting documents, including transcripts and two recommendation letters from your school and your social activity institution no later than January 22, 2010. For further information on this program, please contact Ms. Nhim Pheakdey at the Public Affairs Section, U.S. Embassy Phnom Penh, No.1, Street 96, Sangkat Wat Phnom, at 023-728-179 email: nhimp@state.gov.

Global Undergraduate Exchange Program for FY 2010

2009-11-12T10:39:00.001+07:00

The Public Affairs Section of the U.S. Embassy is pleased to announce the opportunity to compete for the 2010 Global Undergraduate Exchange Program (Global UGRAD Program) which is sponsored by the Educational and Cultural Affairs Office of the U.S. Department of State.

The Global UGRAD Program will provide one-semester and academic-year scholarships to outstanding undergraduates for non-degree programs at accredited U.S. institutions. Scholarships will be available in all academic fields of study except Medicine, Nursing, Veterinary medicine, and Pharmacology.

The length and start date of the scholarship award will depend upon the applicant's interests, the need for pre-program English language training, as well as placement option and availability of funds. Students accepted into the full academic year program will travel to the U.S. for the fall 2010. Students accepted into the one-semester program will travel for the fall 2010 or in the winter (January) 2011.

Eligible applicants must:

Be currently enrolled in an undergraduate degree program and who will have completed their first year of undergraduate study prior to starting their UGRAD Program.
Have at least one semester or an equivalent term to complete at their home institutions upon completion of their UGRAD Program. The UGRAD semester or academic year must not be the last academic term of their undergraduate study.
Be highly motivated non-elite or less-privileged undergraduate students who demonstrate leadership through academic work, community involvement, and extracurricular activities.
Have a good knowledge of English with minimum TOEFL score of 500 or 173 on Computer based TOEFL, 61 on Internet-based TOEFL.
Have no previous study experience in the United States.
Participants should also be 24 years or younger at the time of application.
Application Instructions

Interested students who do not already have an official TOEFL score of 500 or above should plan to take the Institutional TOEFL Practice (ITP) on September 26, and October 17, 2009 at the Royal University of Phnom Penh. Registration for the ITP is available through the Educational Advising Center at RUPP (room 103) from Monday-Friday, with a registration deadline of September 21, and October 12 2009. Please contact Mr. Hang Chanthon for registration of the ITP at 023-884-320.

Students receiving a 500 or above on the TOEFL or ITP are invited to apply for the Global UGRAD Program. The application and detailed instructions are available here (DOC - 107 KB). Applicants must submit all required supporting documents and test score reports directly to the Public Affairs Section, U.S. Embassy Phnom Penh at #1, Street 96, Sangkat Wat Phnom, by November 13, 2009. For further information, please contact Mr. Bun Sambath at tel. 023-728 683, or email: bunsa@state.gov.

Deadline : November 13, 2009

Here's how to win your free trip to YES2009. 500 FREE trips to YES2009 worth over 1,000,000 USD are up for grabs!

2009-11-03T09:38:00.004+07:00

There is a great opportunity to win a FREE trip to Malaysia to join a program called "SEACHANG, YES2009" .. What you all have to do is just sign up an account to answer 3 simple questions. That is it!! Don't miss the chance. I personally think that it is an awesome program which encourages youth to raise their voices in changing in society and provides youth a chance to meet up with other youths from South East Asia countries in order to share idea, experience and CHANGES that they want for their personal life as well as their communities and countries.

GIVE YOURSELF A CHANCE. DON'T MISS IT.

Say YES to CHANGE..

For further info and signing up, pls click here

P.S: The DEADLINE is 8th November 2009

Thank you!!

Happy one year anniversary of the group!

2009-10-04T22:37:00.003+07:00

After this group was officially founded on 1st October 2008, We have been working quite hard on improving Mathematics education and encourage students in Cambodia to work harder and harder to achieve their goals and become outstanding students. Since our group is newly created without any experiences, our first target was just to gathering Cambodian former top high school students to get ideas to contribute to develop education system in Cambodia. Moreover, We just try to gather high school students who want to build their capacity on various subjects especially Mathematics. Third, the successful factor in the first year is we have shared documents and ideas with everyone though it can be seen that most group works were conducted via Internet. However, those were all we could do at the beginning since most of us are students not experts. Starting with just an idea, we finally created this site for the group! Soon after the existence of this blog, we established another discussion site for storing our documents and discussion between members, www.group.google.com/groups/groupcmg. Furthermore, We finally created the third site in Khmer language, www.groupcmg.wordpress.com, for those who have limited language ability.

Actually, we realized that our first year was not perfect, many things still have to be corrected; however, with the experience in the first year, we promise to better all the systems in the group!

Here is our slogan: Commit and Master to make Glories
•Commit : Everyone join
•Master : Everyone learn
•Glories : Everyone succeed

We are setting our targets for the second year, so share your ideas if you want somethings from us. Also, we also would love to cooperate with any organizations, so if you are interested to working and helping us, please contact us.

Contact:
Group founder, Saing Darareaksmey
Phone Number : +855 12 77 44 09
Email : group_cmg@yahoo.com

Many books are available now!

2009-08-26T23:58:00.002+07:00

Our group library, which used to be available for members only, is now available to everyone for download many great math books. We decided this because we want to increase chances for all Cambodian students to have enough sources to improve their education. Please click here to download

OEC freshman result!

2009-08-03T23:48:00.003+07:00

Here are 4 of 6 successive applicants for last saturday test, if you see your name below, please follow the interview schedule(Saturday 08 August 2009) as following:

9am Choup Mithona
9:20am Heng Pagnarith
9:40am Heang Vanny
10am Meas Sopheaktra

Location : to be confirmed later
For more infomation, feel free to contact us 012 77 44 09

OEC ANNUAL Selection Test 2009

2009-07-24T22:00:00.005+07:00

OEC is a non-profit organization whose mission is to advance the academic development of Cambodia students by disseminating information about foreign educational opportunities, providing assistance in the university application process, enhancing the educational experience, and ultimately building a network of young professionals who will bring social change to the community.

We are inviting the current grade 11, 12 and year 1 students who have high English proficiency to come for the mock TOEFL test to join the Annual OEC Program. This program has been in existence for several years and its aim is to assist the under-privileged but talented Cambodian students to apply for admission and financial aid/scholarship to pursue undergraduate study at elite US universities and colleges. We divide this test into 2 categories as following:

1.For 1st year students,

Test Date: 01 AUGUST 2009
Time: 0800am to 1130am
Venue: Cheythavy Thmei ( sala Chomnes Tou Tov ) Room : Kompong Cham

Minimum requirement for High school diploma : Grade C

P.S: Please confirm your attendance by emailing to group_cmg@yahoo.com along with your name, school, level of English and Phone number. No later than 30th July 2009, 12am.

2.For 11th and 12th grade,

Test Date: 09 AUGUST 2009
Time: 0800am to 1130am
Venue: Bak Touk High School

P.S: Please confirm your attendance by emailing to bunleang9@hotmail.com and group_cmg@yahoo.com along with your name, school, level of English and Phone number. No later than 2nd August 2009, 12am.

SEALNet (project cambodia) result!

2009-07-22T22:11:00.004+07:00

Just don't want people who apply for SEALNet have doubt regarding the result, Here is the list of successive candidates:

Vuochlin Veung
Chea Sang
Vuochly Veung
Ting Layseang
Pal Sreyvin
Song Chhapon Mina
Lim Leanghour
Maro Chhum
Im Soryaphea
Iep Poachean
Khin Lyda
Taing Soklei
Pors Ponnary
Sourmolivann Lip
Chuop Mithona

IMO 2009 Germany - Day 1 Problems

2009-07-16T13:17:00.000+07:00

Problem 1. Let n be a positive integer and let a1,a2,a3,...,ak ( k≥ 2) be distinct integer in the set { 1,2,...,n} such that n divides ai(ai+1-1) for i = 1,2,...,k-1. Prove that n does not divide ak(a1-1).

Problem 2. Let ABC be a triangle with circumcenter O. The points P and Q are interior points of the sides CA and AB respectively. Let K,L and M be the midpoints of the segments BP,CQ and PQ. respectively, and let Γ be the circle passing through K,L and M. Suppose that the line PQ is tangent to the circle Γ. Prove that OP = OQ.

Problem 3. Suppose that s1,s2,s3, ... is a strictly increasing sequence of positive integers such that the sub-sequences ss_{1},ss_{2},ss_{3}, ... and ss_{1+1},ss_{2+1},ss_{3+1}, ... are both arithmetic progressions. Prove that the sequence s1,s2,s3, ... is itself an arithmetic progression.

Your chance to learn many things from SEALNet!

2009-06-11T21:34:00.007+07:00

Project Cambodia (Arts)
When: Monday 10 August 2009 – Tuesday 25 August 2009
Location: Phnom Penh, Cambodia

Project Cambodia 2009 (PC09) aims to help renew interest in traditional Cambodian performing arts through the production of two outreach concerts in Phnom Penh. PC09, partnered with Cambodian Living Arts, hopes to innovate the presentation of traditional Cambodian dance and storytelling by incorporating elements of other contemporary performing arts styles. In creating a very dynamic program, the production will particularly appeal to youth and overall provide greater access to exciting arts for the wider community. We envision the establishment of the first annual youth concert in Phnom Penh and celebration of traditional Cambodian arts, which is independently owned by Cambodian youth of diverse social backgrounds.
Objectives

The main objective of PC09 is to identify, encourage, and support Cambodian youth by creating an opportunity for these students to gain leadership and personal development skills and experience.
• Empower youth and give them the tools to positively impact their community and culture.
• Promote the development of performing arts by aiming to provide a solid platform for young Cambodian artists to experiment and expose their talents.
• To equip Cambodian youth leaders with skills to engage in their society in any given discipline.
Requirements
• Students of grade 11 or 12 in any high schools or freshman in any universities.
• Proper level of English proficiency.
• Strongly interested in our project and volunteer to distribute the project.

If you are interested in this program and want to apply, please click here!
Sorry for inconvinience, since we have some problems with the survey website, please send all the answers to our mail group_cmg@yahoo.com if you want to apply. Thanks for your cooperation!

Just want to confirm, for question 4 and 5, you should write between 200 and 250 words.

Note : Deadline is 28th June 2009 by 12:00am

A cool book you should read!

2009-05-12T10:55:00.001+07:00

Valentin Boju - The Math Problems Notebook Valentin Boju - The Math Problems Notebook bogdanl_yex

Publish at Scribd or explore others: Books software help

Challenges in Geometry for Mathematical Olympians Past and Present Challenges in Geometry for Mathematical Olympians Past and Present pmkrishn1968 Maths Olympiad Collection

Publish at Scribd or explore others: School Work Math & Engineering Non-fiction teaching Pythagorean Theorem

The 36th Ship for South East Asian Youth Program 2009

2009-05-01T13:05:00.000+07:00

Recently, there is a program called Ship for South East Asian Youth Program ( SSEAYP ) which will be held from 27 October 2009 until 17 December 2009. This program is a great opportunity for all Cambodian youth to show their ability and represent their country in global stage. Usually, successive contestants will be given a chance to visit 4 countries in South East Asia and Japan by ship in order to show their tradition, culture and ability. I am sure this is your turning point if you take part in this program!

How many contestants will be selected?
1 leader ( selected by ministry of education, youth and sport )
2 skilled artists ( 1 male and 1 female )
26 contestants ( 13 males and 13 females )

If you are interested in this program, please see if you complete the requirement as following:
Have good health and between the age of 18 and 30 ( counting until 1st April, 2009 )
Have good knowledge in English ( both speaking and Writing)
Have good characteristics ( friendly and have good morality )
Love art and have awareness of ASEAN, environment problem and education
Have good discipline and responsibility
Can support to buy personal insurance during the program
Can support to buy using material, souvenir and passport
Have ability and enough time to join the training lasting about 2 months prior to the departure

The application form can be bought at Youth Department which is near Paññasastra University of Cambodia ( south campus ).

Deadline : 29th May 2009

Try these excercises!

2009-05-01T12:56:00.001+07:00

Happy Khmer New Year 2009

2009-04-12T09:00:00.004+07:00

I would like to send this greeting card to all our buddies and members here.

Please take a look at our group web in khmer version!

2009-02-10T09:31:00.001+07:00

http://www.groupcmg.wordpress.com

Methematica- A math_computing free contest. anyone can join!

2009-02-09T19:30:00.003+07:00

Important : Registered as soon as possible. 13Feb is the deadLine.

It is one of the onlie mathematic_computing competition. I'm not sure, but base on reading, Anyone can register for it and take award if they pass regardless of where , how old you are.

Some exam question can be found in here. Most of the problems might need to use computer programming. http://felicity.iiit.ac.in/~math/WLogin/Handle.py/Handle?RequestedPage=ArchivesPage

To register , visit this page.

http://felicity.iiit.ac.in/~math/

P.S I have created my own team. If any one wanna join, can.

My team is Jupiter (I'm alone, not yet have member). (Find it in Registered team)

Mathematical Excalibur from Hong Kong

2009-02-03T16:47:00.001+07:00

Mathematical Excalibur is a mathematic magazine that publish after The 35th International Mathematical Olympiad was held in Hong Kong. This magazine was written in English and Traditional Chinese by Hong Kong University of Science and Technology, Department of Mathematics.
Anyway you can receive material for new issue, just create your individual subscription to author of this magazine. You can download it here: http://www.math.ust.hk/excalibur/

Dear all members here!

2009-01-17T10:41:00.003+07:00

Dear all member here! I'm Piseth, the last senior member of CMG. I'm really pleased that Xiao Wei invite me to contribute with CMG. Hrm... my English is not good so I can't write too much. I have something want to ask. CMG has a Khmer blog, right? Why we don't update it?

B3, Clue

2009-01-17T00:33:00.005+07:00

I have tried to solve the problem B3. I haven't completed the solution yet. But i hope my clue woule be useful for e.one to try.

Here is what i observe :

thanks

Time to be active, A1&&B1 brief solution

2009-01-12T13:44:00.004+07:00

Sorry don't have time to type. I will try to solve some more when get some time. Just to encourage e.one to solve it together. Thanks :)

Harvard Math Competition: Test Your Math Skill

2009-01-12T03:22:00.007+07:00

Hi All,

You may want to test your math skills. Below is a math competition at Harvard University.

To read and try to solve last December's competition, go here

For more information about the competition, go here

I would be happy to see your solutions. Show and prove your skill as a new generation of the Khmer Empire!

Suggestion for Search Engines

2009-01-11T00:43:00.002+07:00

To All,

I have a small suggestion. To make our blog more friendly to search engines, could you please write your comments in full?

Thanks.

Congratulation to Those Who Pass First SG Scholarship Selection Round as well as Console Those Who Did Not

2009-01-06T23:13:00.001+07:00

Time for Jupiter to introduce you another nice piece

2009-01-03T23:43:00.000+07:00

piano* - piano

,br> enjoy!

Merry Christmas and Happy New Year

2008-12-24T12:04:00.002+07:00

All de best wishes...........

Olympiad Resources

2008-12-18T08:32:00.003+07:00

http://www.kvntpcbadarpur.com/Olympiad.htm

http://www.ebook3000.com/International-Mathematical-Olympiads-1959-1977_10527.html

http://www.pdf-search-engine.com/math-olympiad-pdf.html

http://knowfree.net/2008/04/19/mathematical-olympiad-in-china-problems-and-solutions.kf

Nothing is limited here!

2008-12-14T22:46:00.002+07:00

As we have many great members in our group, more and more books are available now! We are so delighted to inform all members that the following books are available for you now, just send us the name of the books, you'll get as soon as possible....

Romanian Mathematical Competition 2003
Romanian Mathematical Competition 2004
Romanian Mathematical Competition 2006

Let Solve this problem:)

2008-12-14T00:02:00.001+07:00

3 men play a game with the understanding that the
loser is to double the money of the other two . After 3
games each lost just one and each has $24 . How much
each have at the start of the game ?

Some Tips for Singapore Scholarship

2008-12-12T14:14:00.005+07:00

As requested, the following info may help you to prepare for SG scholarship, THE SECOND ROUND, after you pass khmer exam.

Although, the first round hasn't started yet, it is important that you prepare for the second round. The reasons are: 1. It is only a week (usually) after the application result release that you will take the 2nd round 2. Unlike first round, the 2nd round is the SG turn to set the problem for exam. It might be very difficult compare to our standard highschool level especailly, to the best of my knowledge, for Physic, Chemisty and Biology.

The process may be found here. (it is written by sister Sokly)
http://www.khemaracorner.com/blog.php?id=70

OK now here is the process i recommend.

1) Knowing / Deciding what subject/major you will study in SG.

-Although it might look easy. Indeed, it was the hardest part for me, because once you select yr major, your whole life/ study here will be like that. Can't change. So make sure you study what you like. Right now i'm glad to study my be loved subject, Computer Science. :). This link contain all the subject that you might be able to apply.

http://www.nus.sg/oam/course/

Pls also be noted that, not all subject you can study. For example, Aero Space Engineering is the toughest subject here. They might not allow you to take it. For BIO/MEDICAL i am not sure, but the probability that you pass is low also.

2) Prepare for Entrance exam base on the major you choose.

-i) Normally in filling the application form, you will have to select three/five choice.

-ii) Because last year, NTU was the host to exam, I am 95% confident in saying that, this year, the exam will be in NUS format. Dun worry, some of you may not understand what it mean. It doesn't matter. NUS format has Part A B C and NTU is not like that. You will know when you download the exam syllabus.

-iii) Please visit this site to understand more as well as knowing which subjects you will have to take in 2nd round :

http://admissions.ntu.edu.sg/undergraduate/singapore/admission/Pages/CategoryE.aspx

For example, if you choose to study economic there you will have to take {Math AO, Humanity, English }. If you choose computer engineering you will have to take { Math A, Physic A, English}.

3) How to prepare syllabus after you choose major you like and knowing which subjects you are going to deal with in exam:

http://www.nus.edu.sg/oam/apply/catd/uee/paper.htm

This link contain all the syllabus and sample. (It is at the bottom of the page/webpage)

4) Preparing Document:

Unfortunately I only know abt MATH A level/ MATH AO LEVEL/ PHYSIC/ English.

i) FOR math both AO and A level it is a huge benefit and enough if you study throught this wesite:

http://www.wtamu.edu/academic/anns/mps/math/mathlab/col_algebra/index.htm

This web has sufficient knowledge to pass you the entrance exam. Remember to study within the syllabus area.

I don't know that website when i were preparing and i just know it now. Consider you r lucky.

For MATH AO level, there are some books at Hunsen Library. Find a book(s) with title Math AO level (=Ordinary level)

iii) English, it is not as hard as physic but at least it is still hard. Writing skill /reading/ vocab can learn from Toefl. If you are strong enough you can try SAT.

this website might help also :

http://admissions.ntu.edu.sg/undergraduate/singapore/admission/Pages/CategoryE.aspx

Beside that pls visit this link to see how excited you are if you pass :

http://gallery.ntu.edu.sg/photos/v/facilities/

(MY school view)

That's all i can help. Hope you pass.

Finally i would say girls are welcome than boys. haha you will understand when you come to live here. Only two girls are with us right now.

Cheer

Check it out!

2008-12-05T13:51:00.005+07:00

More books and documents are available now, please have a look if you are interested in or not!

1. Math Wonders to Inspire
2. 102 Combinatorial Problems
3. Complex Numbers from A to Z
4. Putnam and Beyond
5. The USSR Olympiad Problem Book
6. Geometric Problems on Maxima and Minima
7. Erdos-Mordell inequality TA
8. Contests Around the World 1999-2000
9. Contests Around the World 2000-2001
10. KedlayaInequalities
11. Olympiad Inequalities 2006 ( by Thomas J.Mildorf )
12. cartetitu Problems

PS: I wanna give a big thanks to Thya, a member from sisowath high school, who sent us her personal documents and books to share with all the members.

Moreover, we would be delighted if all members are active in our group discussion.

Requested Books

2008-11-27T13:23:00.004+07:00

Haha hello guys!

i know i am so passive these day. haha until muy geuch email to ask me teat.:)) thanks muy geuch...

Sorry I've just finish my exam. Hmm what am i supposed to do now.....

Well let first deal with the requested books:

Here are the upload files i uploaded. you guys can download free:

But notice that some files are in DJVU. DJVU is a program that must be used to view those files. If you haven't had it you can download as i upload here already. Try to use the program first. If you don't know how to use DJVU to view file you can post commet for help. Anyway it is totally easy to use DJVU.

DJVU viewer

1. Challenging Problem in Algebra

3. Mathematical Olympiad Tressure
4. Mathematical Olympiad Challenge
5. 102 combimonatoric problems

for User Olympiad book i will search and upload if i find.

By the way for those who email me to get IMO english version. I think you guys don't know abt IMO compendium.pdf yet? if so i would recommend you to pratice this book.

You can either ask The web master__ Reasmey for a copy or downlaod by simply click here.

Jupiter

Books we are finding!

2008-11-26T19:27:00.002+07:00

Hello everyone! As the group is having some problems in finding some books in software, we would like to ask everyone if you have any of these books as following:

1. Challenging problems in Algebra
2. The user Olympiad problem book
3. Mathematical Olympiad Tressure
4. Mathematical Olympiad Challenge
5. 102 combimonatoric problems

We will be so delighted if you can share with us, just send to the group mail group_cmg@yahoo.com ! Your participation will contribute alot to Cambodian future in Math competition! Thanks in advance....

Anyway, I would like give a big thanks to Sakheyna, a member from Sisowath, who us his books including Math contest around the world 1999-2000 and Math contest around the world 2000-2001. So everyone can have these books.... Thanks again

Further added members!

2008-11-25T08:55:00.002+07:00

Since we have many membership application forms remaining, we finally decided to select more members! Please see the following list:

Chan Marisa
Chim Eangchhe
Chhay Taklida
Chheng Phiron
Heng Piseth
Hong Makara
Hong Sothun
Keam Kongleaphy
Kheng Sovansak
Kien Forcefidele
Koch Sivkong
Meng Phanny
Nak Sreyleap
Nguy Kealong
Norn Saophanith
Prum Seiha
Sea Lihoung
Teik Solida
Uk Samphal
Ung Sunmeng
Veung Vouchlin
Veung Vouchly
Yem Marady
Yem Veasna

Singapore scholarship is available now!

2008-11-24T20:40:00.008+07:00

As every year, Singapore scholarship is the first released amongst other Bachelor degree scholarship, following by China, Japan, Malaysia and some others. This scholarship is usually offered to 2 to 3 Cambodian outstanding students ( who pass all the stages ) to study with full scholarship ( 100% free and even get salary from about 400$-800$ depending on your performance and year of study) in Bachelor degree in Singapore, a great education country. Students who are interested in this, please go to buy the Khmer form at Scholarship office ( just near Apsara TV station ). There will be a form shorted list test, a few exams and interview for those who pass the previous stage.

The first selection test will be on 31 December 2008.

Geometry problems of the week!

2008-11-18T08:51:00.006+07:00

Dear all members, please try to solve these exercises, we will be able to improve your geometry skill! Try to think it one by one, consider it carefully... You may be able to discuss these problems at www.groups.google.com/group/groupcmg .... Enjoy!

1.(Chinese Mathematical Olympiad, 2007) Triangle ABC is not isosceles. The incenter is I, the excenter is O. The incircle touches the sides BC, CA, AB at points D, E, F, respectively. Lines FD and AC intersect at P, lines DE and AB intersect at Q. The midpoints of segments EP amd FQ are M and N, respectively. Prove that MN and OI are perpendicular.

2. Determine the locus of the centres of all regular triangles circumscribed about a given acute triangle. (The triangle G is said to be circumscribed about the triangle H if the vertices of H lie on the sides of G.)

3. Given a convex quadrilateral ABCD and a point P in its interior such that AP=CP, and. Prove that DA.AB.BP=BC.CD.DP.

4. The angle bisector drawn from vertex C of an acute angled triangle ABC intersects the opposite side at the point F. The feet of the perpendiculars drawn from the point F to the sides BC and CA are P and Q, respectively. Let M denote the intersection of the lines AP and BQ. Prove that AB and CM are perpendicular to each other.

5. A' is the reflection of the vertex A of an equilateral triangle ABC about the opposite side. A line passing through A' intersects the lines AB and AC at the points C' and B', respectively. What is the locus of the intersection of lines BB' and CC'?

6. The angle bisectors of triangle ABC intersect sides BC, CA and AB at points A1, B1 and C1, respectively. On line A1B1, denote by F the perpendicular foot point of C1. Prove that line FC1 bisects angle AFB.

7. Let h denote the length of the tangents drawn to a circle from an exterior point P, and let the midpoint of the line segment connecting the points of contact be F. Prove that a chord AB of the circle satisfies the equality AP.PB=h2 if and only if the line AB passes through the point P or the point F.

8. The angle bisector drawn from vertex C of an acute angled triangle ABC intersects the opposite side at the point F. The feet of the perpendiculars drawn from the point F to the sides BC and CA are P and Q, respectively. Let M denote the intersection of the lines AP and BQ. Prove that AB and CM are perpendicular to each other.

Starting the Blog

2008-11-08T00:29:00.006+07:00

To all my respected senior members && friends who are willing to contribute to blog,

As having been viewing and posting some comments or post here together, I hope you all are commited to improve the math development in Cambodia together AS MUCH AS we can despite how busy we are. I do understand you are busy, that why I said AS MUCH AS possible. I am too busy with my university also, but I always spend some of the time i could to do sth useful for this blog such as posting, or sending some soft_copy of math book to dararasmey to share the member. I hope you all will think the way I do too, and i can see some of the senior like bong Sovanvichet even giving the book he wrote himself free. Thanks so much.

Now, the time won't wait. Yesterday is a history, tomorrow is a mystery , but today is a gift. (Uqoi :)). So, let begin the first step of developing blog by simply planing what we will/ should do.

1)should it be a good idea to have problems solving challenging?

To encourage the incentive of solving the problems, I would suggest a policy of giving credit to all members who solve problem we post here ORIGINALLY (not copy from book). Giving credit mean that, whenever a member solve a problem we will get one credit or score added to the database of the respective member. By the end of each month/year/ or even more competitive , week. We would do sth that please the first three top persons with the highest credit. Unfornately, there is no online judge like programming, so i guess, some of our senior (can also be me) would be the judges for weekly posted problem.

2)Database system

Any IT senior member who already study&& can write database? can Bong help me to write one to do the following job: store all member INFO?, add new member info, remove members, and other common task. I would say I can too, but I only use java and i'm just start Object Oriented Programming this semester, so not yet fluent. I would appreciate if any one can help me.

3) Category && Disivions

Moreover, it might be the time to think now how to divide the blog into subsection of grade. This might help the lower grade students/member to perform better. We can also divide post into, small topics, such as arithmetic, geometry, inequality, number theory, combinatorial problems and sth else.

That all the initial Ideas i could think of tonight.

SO what do all my friends and my respected senoir think? any more good idea or comments?

Bong, sovanvichet...., Bong dararith,...and Other senoir.... please together we find a good ways to promote mathematics velocity in this blog, as well as in cambodia, as it is all our goal despite of our busy time.

Thanks,

Younger,_senior member,

Pheng Sovanlandy

Recent added members!

2008-11-07T20:24:00.002+07:00

There are totally 43 recent added member which include: grade 9 ( 2 members ), grade 10 ( 12 members ), grade 11 ( 19 members ), grade 12 ( 4 members ), year 1 ( 3 members ), year 2 ( 2 members ) and year 5 ( 1 member).

If you see your name as following meaning that you are now becoming our group member! Please comfirm your email since there were some errors with some your emails which we could not reach.

Chan Sopheaktra
Chea Laline
Chea Pumsakheyna
Chet Stravy
Chhun Vannkuthea
Chov Prelsor
Eang Utdomvattanak
Eap Vithyea
Hen Pisithkun
Heng Samnang
Hong Panha
Hout Samnang
Hun Dararithy
Huy Chandara
Khun Pisith
Leng Sivlyza
Lim Ouy
Lim Sobunnavath
Lov Kimtheng
Men Chanpheaktra
Mong Sorikrath
Mony Sorithisey
Nak Bunna
Nong Yonsothya
Norn Sereyrith
Ouch Kithya
Pen Nakry
Pen Vuthy
Phav Makara
Phon Pechchenda
Sam Sokpanya
Sarim Bonita
Seng Hour
Seng Kruy
Seng SovanMinea
So Sakakrona
Taing Uytry
Tang Monyreach
Tek Hangnita
Teng Vannara
Uk Chamnan
Vichet Pisey
Yan Kunthea

Being our member, you can have those available books in our group and further suggested books ( if possible ) by just leaving us comments or send us directly to our mail.

Korean Scholarship is available now!

2008-11-04T19:56:00.004+07:00

This is a full scholarship for Cambodian students who have good personality and proper ability ( as requirement ) to study Bachelor degree in the major of Marinetime for 3 years in Korea Marinetime University in Busan, Korea. This scholarship is offered by SOMA group; 3 competent students will be selected.

Requirement :

_High School Diploma ( finished grade 12 )

_IELTS 5.5 ( minimum ) or equivalence

Deadline : 8 November 2008

Please contact us for more detail.

Please see this website : http://english.hhu.ac.kr/english/

Attention to all new members!

2008-10-31T23:50:00.000+07:00

If you are now selected to be our group new member, you will have a great chance to get many cool Mathematics books in software ( PDF or DJVU )! Please email us if you want to get any of the following books:

Elementary Level( 9th grade or below ):

Elementary Math Word Problems ( 2005 )
Introduction to Proofs ( unofficially prepared by CMG member in 2007 )

Intermediate Level ( 10th-11th grade ):

Junior Balkan Mathematical Olympiad ( 2003 )
Topics in Inequalities ( 2007 )

Olympiad Level ( 12th grade ):

Chinese Old Book ( Not sure for the Year! Written in Chinese )

Challenging Problems in Geometry ( 1996 )

Olympiad Problems from Arounf the World ( 1997 )

Problem-solving strategies ( 1998 )

Mathematical Problems and Proofs ( 2002 )

Math Olympiad Problems Collection ( 2003 )

103 Trigonometry Problems ( 2005 )

The IMO Compendium ( 2006 )

104 Number Theory Problems ( 2007 )

Mathematical Olympiad in China ( 2007 written in English )

Romanian Mathematical Olympiad ( 2007 )

New World Selection I ( Unofficially prepared by CMG member in 2007 )
New World Selection II ( Unofficially prepared by CMG member in 2008 )

University Level:
The William Lowell Putnam Mathematical Competition 1985–2000 ( 2002 )
Advanced Calculus with Application in Statistics ( 2003 )
Mathematics for Computer Science ( 2004 )
Hypercomplex Numbers in Geometry and Physics ( 2004 )

Unsolved series:
Solved and Unsolved Problems in Number Theory and Geometry 1 ( 2000 )
solved and Unsolved Problems in Number Theory and Geometry 2 ( 2000 )

Must Read it!

2008-10-31T00:00:00.002+07:00

Programming Contest

2008-10-29T22:56:00.003+07:00

For those who like doing math AND programming, GOOGLE this: ACM ICPC programming contest!

CoDe YoUr BrAiN!!!

http://cm2prod.baylor.edu/login.jsf

Rule of Inference, out of date Joke. haha

2008-10-29T17:22:00.001+07:00

Do you know therefore lim(x-->5)(1/(x-5))= what?

Math is actually fun!

2008-10-28T22:51:00.002+07:00

Knowledge=Power (1)
Work=Power.Time , Thus Power=Work/Time (2)
But Time=Money (3)
(2) & (3) , We get Power=Work/Money (4)
Replace (4) in (1) , we get:
Knowledge=Work/Money , Thus Money=Work/Knowledge

Therefore, when Knowledge approaches to infinity, the Money approaches to 0
And When Knowledge approaches to 0, the Money approaches to
So, if you do NOT understand any of this you will SOON be RICH, ha ha!

Additional && Advance Problem on pigeon Hole principle, (By Jupiter)

2008-10-23T14:19:00.010+07:00

Pigeon hole principle is quite easy to understand. Now look in this pictures. Suppose 10 pigeons are about to fly into 9 holes. Then there must be at least one hole that contain more than 1 pigeon. As a real example you can see here.

U may understand, it is impossible to have all the holes contain no more than 1 pigeon! (unless pigeon fly fly then disappear haha).

The problems here are all have solution. But i will post them in 2 week more time. I reason is, i want you guys to try to solve it together and get to know and learn from each other. For those who can solve please be sure to post yr solution in 2 week time. I would appreciate that. It require somehow my effort to post and write solution, So would you appreciate my effort by simply try to solve the problem and post yr good solution? I'm sure all mathematician like other to admire their solution including me.:D

As Smey has stated, The pigeon Hole principle is simple. Yet it application is so useful. He also posted some quite useful theorem, so you should take note it...

In my opinion, pigeon hole principle should be called dirichlet principle. Dirichlet was the one we owed for that theorem. There are two important theorem you should take note:

Theorem 1 : If k+1 or more objects are placed into the k boxes, the there is at least one box containing two or more of the objects.

Theorem 2: Generalizing: Let there be k1 boxes. If N or more objects are placed into the k boxes, then there is at least one box contaiing at least [N/k]+1 objects, where [a] denote the floor ceiling function of integer a. [4.5]=4 [-3.1]=-4.

As i have commited, this blog is for all level. I won't post problems that too hard nor too easy. Enjoy yr level!

Beginner Level:

1) A drawer contains 10 black socks and 10 white socks. You reach in and pull some out without looking at them. What is the least number of socks you must pull out to be sure to get 4 of the same color?

2) Show that in a group of 85 people at least 4 must have the same first initial of their names.

3) A bowl contains eight red balls, ten green balls and nine blue balls. A student selects balls at random without looking at them.
(a) What is the minimum number of balls the student must select to be sure of having at least two balls of the same color?
(b) What is the min number of balls the student must select to be sure of having at least three balls of the same color?
(c) What is the min number of balls the student must select to be sure of having at least three GREEN balls?

Intermediate level:

1) Let ABCD be a rectangle with AB=8, BC=9. Show that if select seven points in the interior of the rectangle, there are at lest two whose distance apart is less than or equal to 5.

2) There are 5 distinct points with integer coordinates in the {x,y} plane. Show that there must exist at least one pair of these points such that the midpoint of the line joining these two points also has integer coordinates.

3) Let S={2,5,8,11,14,...,71,74,77,80}. How many elements need to be selected from S to ensure that there will be at least two whose sum is 82.

Slightly Advance Level

1) Bill sent out at least one SMS message each minute during a period of exactly one hour. He sent a total of 70 messages over this duration. All these messages were sent to 16 friends and some of them received more than one message from him. Prove that there was a duration of a number of (consecutive) minute which bill sent out exactly 49 SMS messages.

2)Let S be a set of eight positive integers each of which is less than 30. Show that there must be two distinct subsets of S whose elements add up to the same sum. For instance, if the eight numbers are {2,4,5,8,12,15,18,24} , the two distinct subsets can be {2,4,12,15} and {4 , 5, 24}. The sum of both of these is 33.

3) Prove that in any permutation of the twenty_four members 1, 2, 3,..., 24 there must be at least an occurrence of four consecutive positions in the permutation containing numbers that are less than 20.

4) In a box there is a deck of personal identity cards. Each card contains a birthday information (d,m,y) where d, m, y are integer numbers referring to date, month and year respectively. Suppose you reach in the box and draw some cards without looking at them. What is the least number of cards you must draw so as to get two cards, whose birthdays (d1,m1,y1) and (d2,m2,y2) have an even sum. i.e (d1+m1+y1)+(d2+m2+y2) is even?

5) Jack picks 25 integers from 51, 52, 53, ... 97 and 98. Prove that among the 25 integers are three integers whose digits sum up to the same amount. Fore example, the sum of the digits of integer 52 is 7, which is the same as that of the integers 61, and 70.

Advance Level!

1) Given 27 distinct integers, prove that there must be 2 integers whose sum or difference is divisible by 50.

2) Prove that there exist integer x>3 such that 3^x has remainder 1 when divide by 10^10.

3) Given any 5 distinct real number a1, a2, a3,a4,a5. Prove that regardless of how the 5 number are chosen, we can always find two index i, j of number such that a[i]-a[j] is between in gap ]0, 1+a[i]a[j] [

Magic Math book is to be released in these few days!

2008-10-23T14:01:00.005+07:00

Magic Math book, which is the first publication of the group, is to be released during Read Exhibition at Alliance Fance du Cambodge from 23-25 October. However, since we have a little problem with the publication, the book may be able to be sold from the 2nd and 3rd day of the exhibition which from 24th October evening, thus please wait for a moment for purchasing this book.

The purposes of the publication of this book are:

to share all my knowledge regarding the way of solving mathematical problems espcially for national and international outstanding student competitions and scholarship exams

to encourage all Cambodian Generations to focus on Mathematics

to contribute strengthening human resources in Cambodia

to help students who love mathematics to be able to understand easily.

Hope all of you will support this publication.

Along with this book, I've created this blog for sharing competition experiences, solving mathematics strategies and mathematics documents.

Complete this form now to be our member!

2008-10-22T23:13:00.003+07:00

Be patient !!

2008-10-22T11:29:00.004+07:00

Actually, the blog now just like a baby who havent come out of mother's body.. You know, his mother have not even born so how can the baby come out??? Be patient !! Magic Math book will be released soon on Friday 24th October 2008 and it will be first available in READ EXHIBITON which will be held in Aliance ( France School). Moreover, after it's alive, we still need time to adapt it step by step so just be patient!!

Hopefully, all math genius here will enjoy contributing this blog!!

Our blog are alive now!

2008-10-18T22:50:00.002+07:00

The Pigeon Hole Principle (a part of Introduction to proof book)

2008-09-30T11:23:00.002+07:00

The so called pigeon hole principle is nothing more than the obvious remark: if you have fewer pigeon holes than pigeons and you put every pigeon in a pigeon hole, then there must result at least one pigeon hole with more than one pigeon. It is surprising how useful this can be as a proof strategy.
Example
Theorem. Among any N positive integers, there exist 2 whose difference is divisible by n-1.
Proof. Let a1, a2, ..., an be the numbers. For each ai, let ri be the remainder that results from dividing ai by n - 1. (So ri ai mod(n-1) and ri can take on only the values 0, 1, ..., n-2.) There are n-1 possible values for each ri, but there are n ri's. Thus, by the pigeon hole principle, there must be two of the ri's that are the same, rj = rk for some pair j and k But then, the corresponding ai's have the same remainder when divided by n-1, and so their difference aj - ak is evenly divisible by n-1.
Example
Theorem. For any n positive integers, the sum of some of these integers (perhaps one of the numbers itself) is divisible by n.
Proof. Consider the n numbers b1 (a1) mod(n), b2 (a1 + a2) mod(n), b3 (a1+a2+a3) mod(n), ..., bn = (a1 + ... + an) mod(n). If one of these numbers is zero, then we are done. Otherwise, only the n-1 numbers 1, 2, ..., n-1 are represented in this list, and so two of them must be the same, bi = bj (say i < j). This would then imply that (ai+1 + ... + aj) mod(n) = 0, proving our claim.
Exercises
Prove each of the following using the pigeon hole principle.
If a city has 10,000 different telephone lines numbered by 4-digit numbers and more than half of the telephone lines are in the downtown, then there are two telephone numbers in the downtown whose sum is again the number of a downtown telephone line.
If there are 6 people at a party, then either 3 of them knew each other before the party or 3 of them were complete strangers before the party.

Relax! back at one

2008-09-27T10:09:00.001+07:00

Back at One - Brian McKnight

Books available in software!

2008-09-27T09:35:00.003+07:00

Introduction to Proofs
New World Selection I
New World Selection II

Elementary Math word Problems (7th Grade)

12th grade—International Books
Advanced Calculus with Applications in Statistics
103 Trigonometry problems
104 Number Theory Problems
The William Lowell Putnam Mathematical Competition 1985-2000
Hypercomplex Numbers in Geometry and Physics
IMO Competition 1959-2004
Mathematical Problems and Proofs, Kluwer Academic
Math Olympiad problems Collection, version 1
Math Olympiad Problems and Solutions from around the world 1995-1996
Topics in Inequalities - Theorems and Techniques (1st Edition), Hojoo Lee
Mathscope, Vietnamese journal
Math Excalibur
IMO Compedium

Good tips for Mathematics Olympiad participants!

2008-09-27T09:25:00.001+07:00

The term "olympiad" is used generically to refer to a math contest in which students are asked not to compute numerical answers, but to give proofs of specified statements. (Example: "Prove that 2003 is not the sum of two squares of integers.") The most famous example is the International Mathematical Olympiad; most countries that participate at the IMO have national olympiads as part of their team selection process. Some areas have additional olympiads at the regional or local level.

The jump from short answers to olympiads is a tough one. Here are some tips for students making this transition.

Practice, practice, practice.

The only way to learn math is by doing.Proofs are essays. The better written a proof is, the more likely it is to be understood. Even such mundane things as grammar, spelling and handwriting are worth a bit of attention.

Define your terms. If you're going to use a word in a way that might not be commonly understood, define it precisely. Then stick to your definition!

Read the masters. No one ever learned how to do good mathematics in a vacuum. When you do practice problems, read the solutions even of the problems you solved.

There's more than one road. Different solutions can be equally valid; even when solutions agree in substance, differences in perspective can be significant and valuable.

It's not over when it's over. Don't hesitate to continue thinking about the problems on a contest after the time ends, or to discuss the problems with others.

Learn from your peers. They're smarter than you might have expected.

Learn from the past. Try to relate new problems to old ones; you may learn something from the similarities, or from the differences.

Patience. No one said this was easy!

2008-09-25T09:46:00.002+07:00

let solve this classic theorem together...

2008-09-23T17:02:00.002+07:00

OK so this is the first set problem for IMO 2009 students as well as for all young mathematicain. lolz.

1)Suppose there are seven coins, all with the same weight, and a counterfeit coin (fraud coin) that weights less than the others. How many weighings are necessary using a balance scale to determine which of the eight coins is the counter feit one? Give an algorithm for finding this counter feit coin.

Hint: the ans is only 2. lol

2) solve the same problem in case there are 11 coins and 1 counterfeit coin which is havier than others. (if possible try to solve the problem in case n coing and 1 lighter counterfeit coin)

OK here is the last one:

3) Each inhabitant of a remote village always tells the truth or always lies. A villager will only give a "yes" and "no" response to a question a tourist asks. Suppose you are a tourist visiting this area and come to a fork in the road. One branch leads to the ruins you wan to visit; the other branch leads deep into the jungle. A villager is standing at the fork in the road. What the only ONE question you can ask the villager to determind which branch to take?

Hint: use logic lol,

OH by the way smey, I have invented some java program that do some benefit job for math such as

1 ) test whether a 9*9 table of an interger is a soduku or not.

2) factorial a positive numbe for example : 60= [2^2].[3^1].[5^1]

dunno what else. lol just hope i can post on this website to reduce the time for calculation of math students. when i was in highschool if i want to factorial big number or test whether a number is prime or not it take so long. but now it take less than 1second lol.

Regard,

Old generation

2008-09-23T17:00:00.001+07:00

Ah finally there is such a blog. Thaks to dara_rasmey for creating this one. cool!

OK i am willing to contribute to this blog as well.

Cheer!

Information

2008-09-10T15:10:00.006+07:00

Since the blog is not ready, you all may have to email us to get further math documents.
Please email us along with your full name, school and grade.

Books available are:
Introduction to Proofs : includes many types of proof
New World Selection I : Collection of International Olympiad problems
New World Selection II : Collection of International Olympiad problems+Soduku solving skills
New World Selection III : IMO compendium+Collection of International Olympiad problems
Precious Inequality : Collection of Inequalities problems
The Training of Cambodian IMO team 2008 : The meterials from Cambodian IMO team 2008

You can propose for more books.

Thanks for visiting our blog and supporting our group.