What Is The Remainder When 2022^2020 Is Divided By 20

 What Is The Remainder When 2022^2020 Is Divided By 20?

This problem is a bit harder If you do not know about basic Theory Numbers as well as Modulo's Theory. 

Why those theories are important?

Remember that: All dividing problem which is finding the remainder, you must to understand clear the division of natural number. It starts from 2 to 11 or more than that. Exponential formula is the important once for you to use as the power. After that, modulo's theory as I have uploaded already either in this site or my YouTube Channel.

Here is the solution for you:

Why 1=2

 Why 1=2

In Mathematics operation and logical 1 is equal to 1, can not equal to 2. But, the question here is 1=2?  How do you think about this statements?
It is the common problem that you guy should think about its mistake. For me, I can not believe it. I will find the proof for you which is the statement above is truth.

Let's 100=100

Click Here To Find More Math Problem

As you see in the solution, and the conclusion 1 is equal to 2. 
Let's give any idea about this problem and find the mistake of the solution.
Thank you!

Vietnamese's Mathematics Problem

 Vietnamese's Mathematics Problem

These problems I have researched in many Vietnam Math Books to share in my blog. But, I hope these problems can help you to fulfill your shortages of Math. If you want to be good at Math, the only thing you must do is Do More Math Problems Every Day. Push yourself, motivate yourself to be crazy with study, especially Math.

Let's try to solve these problems:
I will release the link for you to download the book so that you can find the solutions by yourself.

Click Here To Download Book

Click Here To Download This Book

Click Here To Download

I hope my efforts can be a small factor of your studies.

Thank you!

Enjoy your study

Find The Last Digit Number Of 2023 The Power of 2023

 Find The Last Digit Number Of 2023 The Power of 2023

There are many way to find the last digit number of complicated Math Problems. But, In here I want to shower the best solution to find the last digit number of every single Mathematics amount by just using Dividing Operation.

If you want to be out-standing with these type of problem, you should understand clearly about Modulo Theory. 

Solution:

Here Is The Video That I have Made For You.

Click Here To Watch Video

Remainder Theory

 The Remainder Theorem is useful for evaluating polynomials at a given value of x, though it might not seem so, at least at first blush. This is because the tool is presented as a theorem with a proof, and you probably don't feel ready for proofs at this stage in your studies. Fortunately, you do not "have" to understand the proof of the Theorem, you just need to understand how to use the Theorem.

The Remainder Theorem starts with an unnamed polynomial p(x), where "p(x)" just means "some polynomial p whose variable is x". Then the Theorem talks about dividing that polynomial by some linear factor x – a, where a is just some number.

Math Out-Standing Student Problem​ For Grade 12

Math Out-Standing Student Problem​ For Grade 12

In 2020 of Examination Mathematics For Out-Standing Students in Camboida was cancelled cause of Covid-19, but, Before cancelling, this problem was the most popular problem which occurred mostly in every province. 

You can try to solve by yourself or you can research more about two variables function. There are ton of problems on the internet, but here I just picked some of them to share with all of you.

You can watch solution which was solved by me, where you can check the tips, method, the theory that I used to solve It. 

Thank you very much!

Perfect Problems

 Common Problems

These are the problems of common daily problems that you all should try to solve everyday. 
I have research these problems for all you, specially our Cambodian students to challenge with other countries in the local and around the world.

Day 01

Examinations Of Math Out Standing Student For Grade 12 In 2020

 Examinations Of Math Out Standing Student For Grade 12 In 2020

These are some tests of Math For Out Standing Student in 2020 which I picked up from the internet. You can see list of these problems are in my book, and also some problems I already solved in my channel. You can see that: Limit, sum of sequence, find the general term of sequence, find the derivative of function, find the sum of function, geometry, function equation, trigonometry function, polynomial function, one variable function, two variables function, find the maximum and minimum of function, trigonometry equation, and so on. These type of problems are the common problems for Math Out Standing For Grade 12 in Cambodia.

Here are some of these tests:

Sihanouk 2020

Phom Penh 2020

You can find solution by yourself

Khmer Math Out-Standing Student For Grade 12

 Khmer Math Out-Standing Student For Grade 12

These are problems, I picked up from many examinations, many books both Khmer and Foreign, and so on. All you guy can copy or download this problems from my blog to try by yourself to solve them. I guarantee that you will understand and get close to succeed of your examination. 

My recommendation to you, you should have basic of Mathematics with theory, operation, and also being better in the normal class as well before you try to solve theses problems.

You also can find the solutions in my YouTube Channel: Thin Sokkean
Then, you go to the playlist of " Math Out Standing Student" while you can find other problems and solutions as well. 

I hope that these can help you to be an out standing student .
Have a good study !

These are some common problems that I think you should know If you want to join the testing.

Thank you💓😍

Khmer Math Book For Grade 9

Khmer Math Book For Grade 9

This a Math Book of Khmer author which collected all problems and solutions for Cambodian students. In this book, collected since 1986 to 2015 of all examination which were taken place in national grade of testing.

Link To Download This Book:

Download Here

As you can see in the photon.

How To Do With This Book

In order to study effectively with this book, you should try to do by yourself by just looking to the problems, then you should try to think about the tips to solve those problems. The more you think, the more you understand.

Here Another Book

Download This Book Here

1001-Problems For Grade 9

How To Study History

 As you know, history is a difficult subject to study, to remember all events, all backgrounds of each country and around the world such as WWI and WWII which are very complicated to understand. In fact, the causes and effects. I always ask my teachers during the classes with " Why". By asking why, I can understand the whole things which were happened by the authors. 

These are some tips that you can apply in to your studying of History.

1. Think As You Are Watching Movie

This is true that you study history is same as you are watching movie, just by watching to reading or listening. You can read all pages, all letters in your books to understand the basic of history. Or you can listen to your teachers' explanation. By this, you also can ask more when you are wondering.

2. Telling History To Your People

After you know something, the best thing to remember them clearly and permanently is Teaching. Just by Teaching, you can remember all steps of events, all patterns of events, because you are saying out what you both understood and remembered.
One proverb that I have ever heard " The Best Way To Remember Is Teaching"

3. Researching More

The best way to get new knowledge is "Researching". By doing research about history on social media, you actually can get more information about what you have understood. It likes you are adding more clearly and fact information to your brain.

Khmer Math For Out Standing Student Grade 12

 Khmer Math For Out Standing Student Grade 12

This problem is picked up from Vietnamese problems which always appears in all IMO examination every single year. In fact, this problem is related to basics Mathematics operations (Squaring Both Sides) by parts. 

I have create this photo for you that you can write this problem to find the solution by yourself or you can go to find the solution by this link below:
Solution Is Here

By Thin Sokkean

Math Out Standing Problem For Grade 12

Math Out Standing Problem For Grade 12

There are two of problems that I have researched in many books and combine them together to share with all of you.
The solution will is here:
Click here to get solution

Math Out-Standing Student Problem#96

This is the problem relates to divisible of natural number. I used to solve a lot of problems about this type of problem. In order to solve this problem, you need to simplify 192=16.12 and use the thesis of do as the problem wants.
In this video, I have tell you detail about even natural number and odd natural number.
Odd natural number is written n=2k+1 , It can't divided by 2.
Even natural number is written n=2k  , It divided by 2
Square of odd natural number order.

Math Out-Standing Student Problem#96

Click Here To Watch Full Video

Math Out-Standing Student Problem#95

This is the problem sum of sequence. To solve this type of problem, you need to simplify the general term of it with spread it to become two other sequences factor order. As I did, I used the formula of a^2-1 =(a-1)(a+1) then inverse the equation. Then let a=3^(2^n) and the last section, I multiply both sides with 2^(n+1).

Click Here To Watch Full Video

Problem Should Study For BaccII 2020

This is the video of analysis of Mathematics for grade 12 in Cambodia during BaccII. In this video, I took all tests from 2013 to 2019 for BaccII and led me to conclude that there are some section which always appears in every year of examination such as:
1. Complex Number
2. Limit
3. Integral 
4. Differential Equation
5. Probability
6. Geometry In Space
7. Conic
8. Function and Graph

Click Here To Watch Video:

Full Video

Math Out-Standing Student Problem#92

This is a video of problem about Mathematics Out Standing Student which is related to divisible and divisor. In order to solve this type of problem, you need to use formula of a^n - b^n to make factor of prime. Such as fact, 2010=67.30 then I will show that the following number is both divided by 30 and 67. I know that, GCD(30;67)=1 then If that number divided to 2010, then It will also divided by 30 and 67.
In this video, I show clearly both 30 and 67 when I just use the one formula.

Click Here To Watch Full Video

Math Out-Standing Student Problem#94

This is the problem which is related to function and sequence of number. In order to solve this problem, you need to take the (n+1) power of 2 to the left side, then you need to simplify the right side by using factorial condition as I showed.
The second, you need to let n=0,1,..., n-1 then you will get the relationship of our problem, then finding the limit of it.

What Book Should We Read ?

There are many important things that why we should reading?
In fact, Reading can provide us like: knowledge, entertainment, improve our mindset, improve our memory and so on. By the way, in order to get all those things from reading, we need to choose the right book to read.

Choosing book to read is meant what kind of book should we read? what language of the book is written? These are the basic things which readers mostly never think about. 

When you want to read the book, first thing you should do is the kind of book, biography of successful people or political book or mindset book? Secondly, what language of the book should I read ? English or your mother tongue ?
This is depending your understanding of language. If you know English very well, you should choose English written book, It will improve your understanding of English more. unfortunately, If your is English is not good yet, you should choose your mother tongue written book, because you can understand the meaning of that book better than English.

This video, I explain why you should read the book and what kind of book should you choose to read?? 

Math Out Standing Student Grade 12 in 2020

These problems and solutions, I solve by myself for helping all of you (student in grade 12) to research and understand how to solve these type of problems. All of these problems have high potential to take place in every examination such as: scholarship, out standing, NIE,...