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Rank
Level
1
Albert
100
2
guerdin
100
3
Manup B
100
4
Christian Balboa
100
5
Aryaseto
99
6
Cyril Guzeev
99
7
Vince Anthony Santos Ong
98
8
Anyone dare challenge me
97
9
Ram Emmanuel Vallarta Tuason
96
10
Rupayan Mallick
95
11
Provid
95
12
Johnny Tan
95
13
Neil Andross Serrano Ocava
94
14
YEE SEAN
94
15
Tejas ___
94
16
Cheong Choon Kit
93
17
Emilia san
92
18
JeongWon KIM
91
19
Max Holm
90
20
nuthan priya
89
21
QW
89
22
Tan Qi Wei
89
23
ChihYao Chang
88
24
Yu Kai Tan
87
25
Vikalp
87
26
Lawrence Mikkel Anatalio Mendoza
87
27
Vince Anthony Ong
86
28
asha shrestha
85
29
Joaquim I╤igo Creighton Castillo
85
30
Aayush Sacheti
85
32
Ashutosh Tiwari
85
33
Andreas Dwi Putra
84
34
Иван Вихрев
84
35
Dominique Sy
84
36
Gabba Gabba
83
37
Dhruva Murari
83
38
AK
82
39
Sanprit Nayan
82
40
Aryaman Garg
81
41
Hayley Cassandra Hay Ee Yap
81
42
James TSANG
80
43
Li Chaofan
80
44
Sachin Dubey
79
45
Awesome Melody
79
46
Sunny Cho Arizona
79
47
Dyian Lim
79
48
Rishabh Jain
78
49
Shivank Khard
78
50
LF Junior Trader Position: 1902010326@pku.edu.cn
77
51
Alois🌀
77
52
Michael Kan
77
53
Anton Kaprenin
77
54
Rushabh Vora
77
55
Divanshu Anand
77
56
Theo Lee
77
57
Steven Suntoso
76
58
####???
76
59
Bhuvnesh Khandelwal
76
60
Deepak Panchal
76
61
Chris Wallace
76
62
JR Ang
76
63
Karan Trivedi
75
64
Zner Atsituab
75
65
Nttngl
75
66
Sandy Chung
74
67
PollosHermanos
74
68
Guttacaro
74
69
Chris
73
70
Kendrick LAM
73
71
Aj
73
72
SAUMYA CHAUDHRY
73
73
Migs de las Llagas
73
74
Harshit Baranwal
73
75
Martin Johan Magtibay Ocho
72
76
Илья Горячев
72
77
Varun Nagar
72
78
Anant Tayal
72
79
ADITYA KUMAR Singh
72
80
Hedy
72
81
abhishek sood
72
82
siddhu salvi
72
83
8drien
72
84
Shiva Kumar Pogula
71
85
tran nhat minh
71
86
Neeraj Kukreja
71
87
Rudra Parikh
71
88
Toleti Sandeep
71
89
RUSHI
71
90
Eugene Lau
71
91
Kalyan.bakki
70
92
Sanchi Wankhade
70
93
Kirby Hassan
70
94
9096676233
70
95
shivam Agrawal
70
96
Lam Kendrick
70
97
HT
70
98
Panneer
70
99
Umesh Meena
69
100
Michael Ho
69
101
Leung
69
102
Olga
69
103
SRIJITA PAUL
69
104
Vanilla D
69
105
Zahid Ahmed
69
106
Vanessa So
69
107
jitender ahuja
69
108
harshit sharma
69
109
Monica Cruz
69
110
Sean Jang
69
111
Rahul
69
112
Cr7pro
68
113
j c
68
114
Dhirendra singh yadav
68
115
Chan Winson
68
116
Gitin Arora
68
117
Lacshay Shekhar
68
118
wahStar
68
119
Abhishek Kaushal
68
120
Surya Shekhawat IIT ISM
67
121
Aditya Kumawat
67
122
User
67
123
SACHIN URADE
67
124
bigblackclock
67
125
Siddhartha Malani
67
126
RP Gaur
67
127
sumit nayak
67
128
Ketut Artayasa
67
129
Julien Olasiman
67
130
Harry Ho
67
131
Mehak Dhiman
67
132
Tobias Kaiser
67
133
Ruchin Raj
66
134
sebastian ronny
66
135
Sachin bhavre
66
136
Nathanael Choo
66
137
Julian Carlos Gatchalian
66
138
鄭凱仁
66
139
Muhammad Ammar
66
140
Tiffany Chu
66
141
smallIndianClock
66
142
made sukma
66
143
Ahsan Barkati
65
144
Teemo Player
65
145
Ajinkyasinh Rajput
65
146
Aditya Raj
65
147
Surabhi Sinha
65
148
Naveen Kumar
65
149
Victor
65
150
study
64
151
almer hutapea
64
152
Kartik
64
153
Sean Jang
64
154
Walang Alam Lvl. 100
64
155
Joel Jacob Thomas
64
156
raushan kumar
64
157
ashok kumar
64
158
Tushar Gupta
64
159
wadood
64
160
TBTR
64
161
utkarsh srivastava
64
162
SG
64
163
Arpit Agarwal
63
164
chaitanya jaolekar
63
165
SEENI MOHANTY
63
166
Dandy Kennedy
63
167
Corfaitch
63
168
Yugam Jayant
63
169
JJ
63
170
Daniel Yip
63
171
Pak Bun Ko
63
172
Harry Suen
63
173
Anshul Agarwal
63
174
Sphener
63
175
Alfred Monique Ventura
63
176
Srihari Srikanth
62
177
SANYAM MODI
62
178
Derek Ong
62
179
Rubel Kazan
62
180
K Venkat Madhav
62
181
Sachin Sardiwal
62
182
Jj Teoh
62
183
Adit Anand
61
184
vinay Reddy
61
185
ravi agarwal
61
186
Aarush Sahoo
61
187
Clement R
61
188
Deepanshu
61
189
damm
61
190
Nikolai Sy
61
191
tushar gupta
61
192
Anas
60
193
Roshan Jha
60
194
hamid
60
195
Ramona Chia
60
196
Namit Wadhwa
60
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A Web App for Mathematics Training

Do you want to be fast at mental math? Many people do, but the options for doing the necessary exercises are simply too cumbersome for all but the most dedicated of trainees. In physical fitness, many people are interested in training their bodies but allocating the time, energy, and money for it is a significant obstacle. Likewise, lugging around books and whatnot for math practice is a threshold that just doesn't meet the standards of modern life.

Training yourself to be skilled at mental math needs to be quick and convenient. mathtrainer.org is a web app that works in your browser rather than a program you have to download and install on your computer or phone. This allows users to try and use the app without having to install new software. As a web app, updates are also much simpler. There is no need to download endless updates—the website will always be the most current version.

You can access a web app from any device connected to the internet and equipped with a web browser, including smartphones, tablets, and desktop computers. Moreover, you are free to use whichever browser you prefer, including Google Chrome, Safari, Firefox, and others. Google Chrome is the recommended browser for the best maths training since it tends to lead the pack in supporting the latest web technologies.

Math Trainer is designed to offer a similar experience regardless of what you’re using to access it, whether it be Android, iOS, Windows, or another operating system. Though an on-screen touch keyboard will appear on mobile devices, you may prefer to use the app on a desktop with a keyboard. Hopefully the advantages of a web app for convenient mathematics training are apparent.

Another part of making the app easy to use is eliminating the need for signing up and logging in. Users can get started with their math training as soon as they click the start button on this page. After progressing to higher levels in the app, your progress is automatically saved so long as your return to the site through the same browser.


What's a Mental Math Tip?

A mental math tip is a sequence of steps that can be taken to solve a math problem in your head. Click the arrow below to see an example for the following problem:

÷
984
3
328

A tip like this one is available for every problem in Math Trainer, so there's always help if you get stuck. With enough math practice, you'll be able to predict what the tips will say—you'll have learned mental math!


Get Better at Mental Math

The ability to quickly perform mental calculations offers advantages in certain circumstances. But even without applications, getting better at mental math is a great way to stimulate one’s mind. It develops better number sense and intuition for quantifying the world around us. Practicing mental calculation will strengthen your foundation for learning more advanced maths topics.

Nonetheless, the tangible benefits of improving at mental math are many. It is certainly expected that educated people are able to do simple arithmetic without having to pull out a calculator. An inability to do so may reflect poorly on you, while being well-practiced in mental calculation will leave your contemporaries impressed. In many scientific and technical circles, mental math ability is even more highly regarded.

For students, mental calculation speed will often have a direct impact on math and science test scores. At all grade levels, it is not sufficient to know how to solve math problems when tests have a time limit on them. The highest-scoring test takers are able to answer questions both correctly and efficiently. Improving mental math skills will only benefit a student’s academic career.

Calculating the solution to an arithmetic problem in your head is often faster than pulling out a device to tell you the answer. For example, figuring out how much to tip a server at a restaurant is a straightforward arithmetic problem that many people are unable to perform without a calculator. By training your brain to solve basic math problems, you can save time in situations like these.

Mental math can also be relied upon when calculation devices are not available. Even with the conveniences of modern life, we occasionally find ourselves without access to our cell phones or other capable devices. A mind skilled in mental math is always available to you.

Finally, getting better at mental math enables a quick estimate and sanity check on results obtained from calculators. While computers are extremely reliable at solving math problems, there is always the risk of incorrectly inputting the problem to the computer. By getting better at mental mathematics, you will develop an intuition for whether the results of calculators make sense.

In fact, the ability to estimate is often sufficient to avoid using calculators altogether. While the use of computers is widespread, estimation is an increasingly valued skill in many industries. There are many situations where complex math will eventually be required, but a preliminary estimate is needed quickly. A major boost to productivity!


Use a Math Trainer

Mental math ability is a lot like physical fitness training. You may be out of shape in the beginning, but with diligent training you can and will improve. Initially you might not enjoy the exercise, but you will reap significant rewards for your effort. As you become more fit, you’ll begin to enjoy the activity much more. If you are serious about it, your mental calculation fitness could become a source of energy, galvanizing you to face the challenges of life with enthusiasm.

In physical training, you break down the fibers in your muscles during a workout session. Your muscles actually sustain tiny tears during resistance training exercises. While you rest afterwards, your body repairs the damage, rebuilding the fibers thicker and stronger.

A similar process is believed to occur for cognitive tasks. A 2016 study found "extensive evidence that brain-training interventions improve performance on the trained tasks".1 Therefore you can expect training your brain to answer mental math questions will lead to improved performance over time.

In the context of physical fitness, a "trainer" often refers to a trained professional who guides the workout and recovery process. Personal trainers are tasked with assessing a trainee's level of ability, prescribing an exercise regimen, and offering feedback as the training goes along. The word "trainer" could also refer to a system that automates the role of a personal trainer. Many aerobic exercise machines today offer interactive training programs with feedback and analysis of a user's performance.

A math trainer is needed for optimal math fitness. Like in physical fitness, the trainer should be compatible with users at a variety of skill levels and should guide them to the next level. It should give an accurate assessment of a user's strengths and weakness, as well as offer helpful feedback on where to focus one's efforts. Learning the ropes of mental maths with a math trainer should be a seamless, rewarding journey to ever-greater abilities.


Mental Calculation

Mental calculation, or mental math, is performing arithmetical calculations without the aid of tools or supplies. As opposed to using a calculator or pencil and paper, mental math is performed entirely in one’s head.

People use mental calculation when computation aides are not available, when it is faster to do so, or when they wish to practice math, show off, or participate in mental math competitions. Most people perform basic mental calculation using elementary arithmetic on a daily basis. An inability to calculate mentally is a serious obstacle to many common tasks.

In U.S. schools, mental calculation is taught only for the most elementary arithmetic, such as single-digit addition and multiplication of two numbers between 0 and 12. To solve addition problems involving multiple digits, you are taught to add columns of digits from right to left, carrying the tens digit if the column sum exceeds 9. For example, how would you approach this addition problem?

Example of two-digit
addition problem

If you were trained like many of us were, you’d add the right column to obtain 12. Since that’s two digits, you’d write the 2 under the right column and carry the 10 by writing a 1 above the left column. Finally, you’d add the two tens digits and the carried 1 to obtain the answer, 52.

To solve an addition problem mentally, it’s best to add the columns from left to right. In our example, you could add the tens digit of the second number, 30, to the first number, 14, to obtain 44. This is easier than the full problem because you’re just doing one mental calculation and tacking on the 4 from the 14 as the singles digit. Then you’d add the remaining ones digit of the second number, 8, to 44 to arrive at the answer, 52.

Which approach seems simpler to you? Can you do the first approach without pulling out a pencil and paper? It turns out the same advantages of left-to-right addition apply to much larger numbers as well. It’s unlikely that difficult addition problems can be solved right to left without needing to write it all out, which of course is more time consuming.

Mental math should be distinguished from the memorization of math facts such as multiplication tables. A foundation of memorized answers to simple math problems will make mental math easier, but performing maths in your head requires both memorized facts and the manipulation of numbers and operations to solve problems. This combination of skill and memory allows us to solve far more complex math questions than can be answered with readily-memorized math facts.

Many mental math tricks are specific to particular numbers or types of problems, usually dependent on the base of the number system used. In the decimal numeral system, for example, it is trivially easy to multiply by 10—just add a 0 to the end of the number. This mental math trick wouldn’t work in the hexadecimal numeral system, though, because the base is 16 instead of 10.

Therefore mental calculation is the ability to manipulate complex arithmetic problems in such a way that they can be resolved using simple memorized math facts.


Arithmetic

Arithmetic is the branch of mathematics concerning basic number operations: addition, subtraction, multiplication, and division. As kids, we are taught to do arithmetic because real-world math problems depend on a mastery of elementary arithmetic. Higher-level study of arithmetic and the integers, or whole numbers, is known as number theory.

Though the math kids initially study is arithmetic, the word is rarely used in this context anymore. Originally it comes from the Greek arithmos, meaning “number”. It has however been included in the “three Rs” of elementary Western education: reading, writing, and arithmetic.

There is evidence prehistoric humans were using arithmetic as hunter-gatherers. Archaeologists have uncovered a tally stick, believed to be over 20,000 years old, which may exhibit the earliest known sequences of prime numbers. An understanding of prime numbers, which are only divisible by themselves and the number 1, requires knowledge of the operation in arithmetic known as division.

From tally marks came base-10 numerals such as those used in Egypt over 5,000 years ago. Number systems based on 10 probably arose because humans have ten “digits” as fingers on their hands (or toes on their feet). A later advance in arithmetic was positional notation, which allowed the same symbols to represent different magnitudes depending on their position in the written number. These numeral systems allowed complex arithmetic to be communicated, recorded, and applied to the challenges faced by our ancestors.

The basic operation of arithmetic is addition. It combines two or more numbers into one, the sum of the terms. The terms can be added in any order, which is known as the commutative property of arithmetic. On a number line, the sum of two numbers is the total distance from zero covered by both numbers.

The inverse arithmetical operation of addition is subtraction. It finds the difference between two numbers. Subtraction is not commutative because the order of the numbers determines whether the answer is positive or negative. On a number line, the difference between two numbers is the distance between their positions.

A second basic operation of arithmetic is multiplication, which scales a number by another number. This second number is called a factor. Like addition, multiplication is commutative—you can change the order of the factors and still get the same answer. Multiplication on a number line can be viewed as adding the first number a total number of times equal to the second factor.

Finally, division is an arithmetical operation that is essentially the inverse of multiplication. Rather than scaling a number, it is divided into a number of pieces equal to the second number. Dividing by the number 0 is not defined in arithmetic because dividing something into zero pieces is impossible.

Basic arithmetic allows us to evaluate the answers to an unlimited number of mathematical expressions. Arithmetical expressions can be purely mathematical, as in 2 + 2, or they can represent quantities in the physical world, such as two items plus two more. Understanding the laws of arithmetic is tremendously powerful.


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