Math 2nd Day Phnom Penh Cambodia 20/04/2023

• Phnom Penh is a capital city of Cambodia where many clever students, great teachers which make students from Phnom Penh are mostly good at Math If compare to countryside students. In 2023, For 1st day of out standing student examination, I just got problems paper on social media and I will share with all of you here. Some of those problems I used to do when I was in high school.

Math Out Standing Problem 2012, 2013, 2014

•  Math out standing student whole country in Cambodia 2012, 2013, 2014 .

Math 1st Day Phnom Penh Cambodia 19/04/2023

•  Phnom Penh is a capital city of Cambodia where many clever students, great teachers which make students from Phnom Penh are mostly good at Math If compare to countryside students. In 2023, For 1st day of out standing student examination, I just got problems paper on social media and I will share with all of you here. Some of those problems I used to do when I was in highschool.

Prove that `(1/2).(3/4)......((2n-1)/(2n))\leq1/sqrt(3n+1)`

•  This is the problem that I picked up from book : 101 Solved Problem in Algebra from The USA IMO with the 43th problem.

What is the coefficient of `x^2` when `(1+x)(1+2x)...(1+2^nx)` is expanded?

•  This is the problem that I picked up from book : 101 Solved Problem in Algebra from The USA IMO with the 32th problem. 

Vietnamese Mathematical Olympiad 2017

•  This is the 2007 Vietnamese Mathematical Olympiad Problem number 6. This is kind of problem that you need to use Permutation Formular . Moreover, you have to know about Sum of Sigma as well. 

Math For Out-Standing Student 2023

• This is the sequence combined with logarithm function which lead us to be understood of method to find the general formula of sequence. It is the basic of method statement for you to know how to find the general form of sequence when you have the power of number in our sequence. 

Prove that `(a_n+3/2^(n+2))^(1/n)(m-(2/3)^(n(m-1)/m))<(m^2-1)/(m-n+1)`

• This is the problem that I picked up from Math Book Around The World which is written by  Mr. Lim Phalkun And Mr. Sen Piseth.  This is the problem which combined many methods, many theory such  Bernualli.

Prove that `1/a_1+1/a_2+1/a_3+...+1/a_20` is a natural number

Find function `f(x)` satisfied `f(x)f(y)-f(xy)-90=10(x+y)/xy`

 

Math PreyVeng Cambodia 2023

• Day 01

Math Chum Kiri District, Kampot 24/03/2023

• Solution Here:  Download PDF

Math Out Standing 2023 Provincial, Cambodia

Solution 

If `x_1, x_2 ` are the root of equation `x^2-x-3=0` Find the value of `A=7x_1^5+19x_2^4`

Solution

Math Problem and Solution Video

 

Problem 000

Prove that `a^2+b^2+c^2\geqa^(4/3)+b^(4/3)+c^(4/3)`

Prove that `x^2023+y^2023+z^2023=0` If `(x^2+y^2+z^2)/(a^2+b^2+c^2)=x^2/a^2+y^2/b^2+z^2/c^2`

• This is the problem that I picked from Vietnamese collection problems which is the basic for kind of this question. 
• From that origin problem is `x^2019+y^2019+z^2019=0` but, I have changed it to `2023` .

Prove that `x, y, z >0` Then `M=x/(2x+y+z)+y/(x+2y+z)+z/(x+y+2z)\leq3/4`

 

Find all number which its square has 4 digits number and divisible 33

• In order to solve type of this problem, you have to understand about divisible theory of natural number. As GCD (Greatest Common Divisor) and LCM (Least Common Divisor). When you know about GCD and LCM, you surely can simplify the problem to be more easier to solve. 
• As example of our problem, `33=3.11` and `GCD(3;11)=1` Then, our problem can be found as divisible with `3` and `11` 

 Solution

Solve the equation `sin^2012x+cos^2012x=1/2^1005`

Solve the equation `sin^2012x+cos^2012x=1/2^1005`

• I will solve this problem  by Khmer language and in order to solve this problem, you have to use derivative of function which you call find the minimum value of function .
• This is the problem 02 of Vietnamese Out-Standing Student grade 12.

Vietnamese Mathematics Provincial 2011

Vietnamese Mathematics Provincial 2011

• This is the problems of Vietnamese Mathematics Provincial examination in 2011. I just picked problem number 04 to share all of you which is related to sequence. As you know, sequences are the problems which need more strategy to solve where you have to combine all your understanding.

Cambodia National Math 2019, 22/04/2019 Day 02

 

Cambodia National Math 2019, 22/04/2019 Day 02

Math Cambodia 2019 Day 02

• This was the problem that released for Out Standing Student in Cambodia in 2019 for 2nd day of testing.
• There were two days of the testing. This is the first day of exam.
• You all can Click here to download

Cambodia Grade 12, 22/04/2019 Day 01

Cambodia National Math 2019, 22/04/2019

• This was the problem that released for Out Standing Student in Cambodia in 2019.
• There were two days of the testing. This is the first day of exam.

• You can watch solution here:

Mathematics Out Standing Student Phnom Penh 2020, Cambodia

 Mathematics Out Standing Student Phnom Penh 2020, Cambodia

• This was the problem that released for Out Standing Student in Phnom Penh, Cambodia in 2020.
• There were two days of the testing. This is the first day of exam.