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Math Olympiad tutoring

tutoringMath Olympiad tutoring is booming. Winning the Math Olympiad can bring a lot of benefits and support from the government and secure your future, so parents are increasingly sending their children to specialized Math Olympiad tutoring to help them win. Math Olympiad tutors collect similar types of questions from past Math Olympiad questions and focus on those types of questions, and since the types of questions often change, they also expose students to a variety of challenging questions to increase their ability to handle challenging questions. In this way, the number of students who ranked high in the Math Olympiad who received specialized Math Olympiad tutoring is increasing. Now is the time to get specialized Math Olympiad tutoring.

Math Olympiad participants

participantsThe Math Olympiad is a competition and event held in many countries, and is a great way to identify math talent and foster it nationally. The Math Olympiad has a very long history and a large number of participants, so it is very difficult to win. Therefore, the future of the student who wins the Math Olympiad is guaranteed, and various benefits and support are provided by the government. Every year, many students apply to win the Math Olympiad, but many are frustrated. Some of the math prodigies who apply to the Math Olympiad are so ridiculously talented that they are sometimes compared to university math professors. These talented students win math olympiads, and it is difficult for ordinary students to catch up with them, no matter how hard they try. Because math is a discipline where hard work alone can only take you so far, the state provides benefits and support for these students.

Cultivating Talent in China

Cultivating Talent in ChinaPeople say that China has a lot of math geniuses because of its large population, but China produces more math geniuses than other countries because its math education system is organized from a young age. Producing such math geniuses is a great advantage for the country when they think about working as a researcher in China. Each such talent is the property of the country, so it can be ahead of other countries in terms of technology. Therefore, many countries strive to cultivate talents. They increase their budgets or reorganize their education systems, but no country has done it better than China.

This year’s Chinese Math Olympiad in the spotlight

Chinese Math OlympiadThis year, the Chinese Math Olympiad will be held in the month of August. This year’s Chinese Math Olympiad is said to be the largest ever held in China. In international math olympiads, China has always been the top ranked country and has won the first place for 6 consecutive years, so many countries are watching this Chinese math olympiad closely. Therefore, many countries are following China’s lead and increasing the size and budget of their math olympiads, and attention is turning to the International Math Olympiad. I wonder which country will win the International Mathematical Olympiad this year?

Mathematical Database – Resource Sharing

<< Math Olympiad, IMO HK Preliminary Selection Contests >>
File / Description Date of Upload Language Provider
1. IMO 1988 Hong Kong Preliminary Selection Contest 14 / 03 / 2003 Eng IMO HK Committee
2. Solution to the 1988 contest 14 / 03 / 2003 Eng IMO HK Committee
3. IMO 1989 Hong Kong Preliminary Selection Contest 14 / 03 / 2003 Eng IMO HK Committee
4. Solution to the 1989 contest 14 / 03 / 2003 Eng IMO HK Committee
5. IMO 1990 Hong Kong Preliminary Selection Contest 14 / 03 / 2003 Eng IMO HK Committee
6. Solution to the 1990 contest 14 / 03 / 2003 Eng IMO HK Committee
7. IMO 1991 Hong Kong Preliminary Selection Contest 14 / 03 / 2003 Eng IMO HK Committee
8. Solution to the 1991 contest 14 / 03 / 2003 Eng IMO HK Committee
9. IMO 1992 Hong Kong Preliminary Selection Contest 14 / 03 / 2003 Eng IMO HK Committee
10. Solution to the 1992 contest 14 / 03 / 2003 Eng IMO HK Committee
11. IMO 1993 Hong Kong Preliminary Selection Contest 14 / 03 / 2003 Eng IMO HK Committee
12. Solution to the 1993 contest 14 / 03 / 2003 Eng IMO HK Committee
13. IMO 1994 Hong Kong Preliminary Selection Contest 14 / 03 / 2003 Eng IMO HK Committee
14. Solution to the 1994 contest 14 / 03 / 2003 Eng IMO HK Committee
15. IMO 1995 Hong Kong Preliminary Selection Contest 14 / 03 / 2003 Eng IMO HK Committee
16. Solution to the 1995 contest 14 / 03 / 2003 Eng IMO HK Committee
17. IMO 1996 Hong Kong Preliminary Selection Contest 14 / 03 / 2003 Eng IMO HK Committee
18. Solution to the 1996 contest 14 / 03 / 2003 Eng IMO HK Committee
19. IMO 1997 Hong Kong Preliminary Selection Contest 14 / 03/ 2003 Eng IMO HK Committee
20. Solution to the 1997 contest 14 / 03 / 2003 Eng IMO HK Committee
21. IMO 1998 Hong Kong Preliminary Selection Contest 14 / 03 / 2003 Eng IMO HK Committee
22. Solution to the 1998 contest 14 / 03 / 2003 Eng IMO HK Committee
23. IMO 1999 Hong Kong Preliminary Selection Contest 14 / 03 / 2003 Eng IMO HK Committee
24. Solution to the 1999 contest 14 / 03 / 2003 Eng IMO HK Committee
25. IMO 2000 Hong Kong Preliminary Selection Contest 14 / 03 / 2003 Eng IMO HK Committee
26. Solution to the 2000 contest 14 / 03 / 2003 Eng IMO HK Committee
27. IMO 2001 Hong Kong Preliminary Selection Contest 14 / 03 / 2003 Eng IMO HK Committee
28. Solution to the 2001 contest 14 / 03 / 2003 Eng IMO HK Committee
29. IMO 2002 Hong Kong Preliminary Selection Contest 14 / 03 / 2003 Chi IMO HK Committee
30. Solution to the 2002 contest 14 / 03 / 2003 Chi IMO HK Committee
31. IMO 2003 Hong Kong Preliminary Selection Contest 14 / 05 / 2003 Chi IMO HK Committee
32. IMO 2003 Hong Kong Preliminary Selection Contest 14 / 05 / 2003 Eng IMO HK Committee
33. Solution to the 2003 contest 14 / 05 / 2003 Eng IMO HK Committee
34. IMO 2004 Hong Kong Preliminary Selection Contest 01 / 06 / 2003 Chi IMO HK Committee
35. IMO 2004 Hong Kong Preliminary Selection Contest 01 / 06 / 2003 Eng IMO HK Committee
36. Solution to the 2004 contest 11 / 06 / 2003 Eng IMO HK Committee
37. IMO 2005 Hong Kong Preliminary Selection Contest 09 / 02 / 2007 Eng IMO HK Committee
38. Solution to the 2005 contest 09 / 02 / 2007 Eng IMO HK Committee
39. IMO 2006 Hong Kong Preliminary Selection Contest 09 / 02 / 2007 Eng IMO HK Committee
40. Solution to the 2006 contest 09 / 02 / 2007 Eng IMO HK Committee
41. IMO 2007 Hong Kong Preliminary Selection Contest 09 / 02 / 2007 Eng IMO HK Committee
42. Solution to the 2007 contest 09 / 02 / 2007 Eng IMO HK Committee
43. IMO 2008 Hong Kong Preliminary Selection Contest 05 / 10 / 2007 Eng IMO HK Committee
44. Solution to the 2008 contest 05 / 10 / 2007 Eng IMO HK Committee
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<< Math Olympiad: IMO Team Selection Tests >>
File / Description Date of Upload Language Provider
1. IMO 1997 Hong Kong Team Selection Test 1 14 / 03 / 2003 Eng IMO HK Committee
2. IMO 1997 Hong Kong Team Selection Test 2 14 / 03 / 2003 Eng IMO HK Committee
3. IMO 1997 Hong Kong Team Selection Test 3 14 / 03 / 2003 Eng IMO HK Committee
4. IMO 1998 Hong Kong Team Selection Test 1 14 / 03 / 2003 Eng IMO HK Committee
5. IMO 1998 Hong Kong Team Selection Test 2 14 / 03 / 2003 Eng IMO HK Committee
6. IMO 2000 Hong Kong Team Selection Test 1a 06 / 06 / 2003 Eng IMO HK Committee
7. IMO 2000 Hong Kong Team Selection Test 1a (solutions) 06 / 06 / 2003 Eng IMO HK Committee
8. IMO 2000 Hong Kong Team Selection Test 1b 06 / 06 / 2003 Eng IMO HK Committee
9. IMO 2000 Hong Kong Team Selection Test 1b (solutions) 06 / 06 / 2003 Eng IMO HK Committee
10. IMO 2001 Hong Kong Team Selection Test 1 06 / 06 / 2003 Eng IMO HK Committee
11. The fourth Hong Kong (China) Mathematical Olympiad 14 / 03 / 2003 Eng IMO HK Committee
12. IMO 2003 Hong Kong Team Selection Test 1 14 / 05 / 2003 Eng IMO HK Committee
13. The fifth Hong Kong (China) Mathematical Olympiad 14 / 05 / 2003 Eng IMO HK Committee
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<< Math Olympiad: Training Materials >>
File / Description Date of Upload Language Provider
1. Exercises on Combinatorics 1 14 / 03 / 2003 Eng Anonymous
2. Exercises on Combinatorics 2 14 / 03 / 2003 Eng Anonymous
3. Exercises on Graph Theory 14 / 03 / 2003 Eng Anonymous
4. IMO exercises 14 / 03 / 2003 Eng Anonymous
5. Problem set 14 / 03 / 2003 Eng Anonymous
6. Problem set 14 / 03 / 2003 Eng Anonymous
7. Problem set 14 / 03 / 2003 Eng Anonymous
8. Problem set 14 / 03 / 2003 Eng Anonymous
9. Problem set 14 / 03 / 2003 Eng Anonymous
10. Problem set 14 / 03 / 2003 Eng Anonymous
11. IMO 2000 Hong Kong team training material 14 / 03 / 2003 Eng Anonymous
12. IMO 2000 Hong Kong team training material 14 / 03 / 2003 Eng Anonymous
13. Functional equations in IMO 14 / 03 / 2003 Eng KKK
14. Notes on functional equations 14 / 03 / 2003 Eng KKK
15. Notes on generating functions 14 / 03 / 2003 Eng KKK
16. Notes on recurrence relations 14 / 03 / 2003 Eng KKK

數學資料庫

~ 2007 年 6 月 24 日 ~
八名香港代表隊成員於2006年8月前往新疆烏魯木齊參加中國女子數學奧林匹克(CGMO),並獲得1金1銀6銅的佳績。她們會在「香港隊 CGMO 2006 遊記」為大家展開新疆「神秘」的一頁! ~ 2007 年 6 月 22 日 ~

更新數學文章 從解手繩到DNA 英文版亦同時推出!

~ 2005 年 11 月 25 日 ~

想了解一下今年香港IMO隊在墨西哥的經歷?IMO 2005遊記可以滿足你!

[更新記錄]

三角形是我們認識的基本圖形之一,它有很多有趣的性質。例如:三角形有很多個「心」,如重心、內心、外心、垂心、旁心等。它們都是三角形內一些特別的直線(如中線和角平分線)的交點。更奇妙的一點是重心、外心和垂心原來位於同一直線上呢!這條直線稱為三角形的「歐拉線」。如欲知道更多有關資料,可參考 http://db.math.ust.hk/notes_download/elementary/geometry/ge_G2/e_control.htm。

Mathematical Database – Teaching Module – Probability

Teaching Module: Probability

Form 4-7 students who are interested in mathematics.

The module is divided into two parts. The first part (lessons 1-5) aims to clarify the basic concepts in probability such as sample space, events, probability function, independent events, random variables, etc. We will try a more interactive approach: giving students some paradoxical arguments and ask them to figure out what’s wrong in there. Perhaps after discussion with others they will come up with some ideas, and hopefully the students will discover that in order to explain the flaw they need to have a more firm grasp on the subject.

The second part (lessons 6-7) discusses two selected topics: random walk and card shuffling. Computer programs will be provided. Students need to perform experiments, record the experimental data and perhaps propose conjectures.

Mathematical Database – Teaching Module – Countability

Teaching Module: Countability

Target

Time spent

Brief Description

Content

Teachers’ Guide

Target

Form 4-7 students who are interested in mathematics.

Time spent

1.5 hours for each lesson.

Brief Description

In this module we attempt to guide students to explore the infinite by first introducing to them the notions of sets and mappings. This is followed by the concept of countability and some related applications.

The module consists of a total of 8 lessons. In lesson 1 the notion of sets is introduced and vast amounts of examples are given. In lessons 2 and 3 students are guided to compare the “size” of sets, along which the notions of one-to-one correspondence and mappings are introduced. After that we put forward the concept of countability in lessons 4 and 5 as a first step to deal with the infinite, where students will be guided to appreciate how infinite sets differ considerably from finite ones. Some further applications and explorations of countability will be dealt with in lessons 6 to 8. In particular, we will show that there can be no set with “maximum size” .

Content

Teachers’ Guide

The teachers’ guide of this teaching module is avaliable here.

數學資料庫 – 教學單元

這裏的教學單元是在香港大學教育資助委員會的資助以及香港中文大學數學系的指引下完成,是 Interface Project (A Prelude to Advanced Mathematics) 的一部份。這些教學單元的對象主要是對數學有與趣之本港中四至中七學生。數學老師在選定一個教學單元後,只需從這裏下載該單元的一份教師指引以及相關的工作紙,便可給學生提供一個為期六至八堂,每堂大約一小時的課外活動。這些課外活動的特色是以活動為主(例如看漫畫、利用電腦進行實驗,然後完成工作紙),旨在向學生解釋概念,並非傳授具體的數學知識和技巧。在過程中學生可以擴闊眼光,接觸到他們在中學課程裏學不到的數學概念。

教學單元 語言 堂數 簡介 最後更新
Probability 英文 7 隨意抽出一個正整數,它是 10 的整數冪的機會率是多少呢?本教學單元從這個問題談起,逐步引導學生弄清楚機會率這個看似熟識的概念。在最後兩堂,我們還會探討 random walk 和 card shuffling 這兩個經典的題目。 7/12/2003
Countability 英文 8 到底正整數多還是正偶數多?到底正整數多還是正實數多?無限是否一定等於無限呢?本單元將指導學生討論「無限」的概念,從而對「無限」有更深入的認識。此外,我們亦會介紹「可數性」理論的一些應用。 7/1/2004
Iterations, Fractals and Chaos 英文 7 碎形和混沌是近年新興的數學詞語,到底它們是甚麼?它們跟迭代又有甚麼關係?本單元設計了一系列的數學實驗,希望引導學生應用中學所學的數學,探討一些有趣的數學現象,從而對數學有更深入的理解。 14/3/2004