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Albert
100
2
guerdin
100
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Manup B
100
4
Sanprit Nayan
99
5
I doubt people hire traders from here
99
6
Aryaman Garg
99
7
Cyril Guzeev
98
8
Yu Kai Tan
97
9
Emilia san
97
10
Awesome Melody
97
11
Dyian Lim
96
12
Dhruva Murari
96
13
Rupayan Mallick
95
14
Shivank Khard
95
15
James TSANG
95
16
Rushabh Vora
94
17
Hayley Cassandra Hay Ee Yap
93
18
Gabba Gabba
93
19
Sachin Dubey
92
20
Karan Trivedi
91
21
Sandy Chung
91
22
Zner Atsituab
91
23
Theo Lee
91
24
Vince Anthony Santos Ong
91
25
Aayush Sacheti
90
26
Kendrick LAM
90
27
Rishabh Jain
90
28
Migs de las Llagas
90
29
Jagat
89
30
Chris
89
31
Anant Tayal
88
32
Nicolas 80
88
33
Marian Gianna Flores
88
34
Vince Anthony Ong
88
35
Rudra Parikh
87
36
Sunny Cho Arizona
87
37
LF Junior Trader Position: 1902010326@pku.edu.cn
87
38
Eugene Lau
87
39
Martin Johan Magtibay Ocho
87
40
Sanchi Wankhade
87
41
Илья Горячев
87
42
Lam Kendrick
87
43
PollosHermanos
86
44
Vikalp
86
45
Divanshu Anand
86
46
Panneer
86
47
shivam Agrawal
86
48
Kirby Hassan
86
49
RUSHI
86
50
Michael Ho
86
51
Umesh Meena
85
52
HT
85
53
harshit sharma
85
54
Olga
85
55
Vanilla D
85
56
Harshit Baranwal
85
57
Zahid Ahmed
84
58
Cr7pro
84
60
SRIJITA PAUL
84
61
jitender ahuja
84
62
Monica Cruz
84
63
abhishek sood
83
64
Abhishek Kaushal
83
65
Aditya Kumawat
83
66
Mehak Dhiman
82
67
Surya Shekhawat IIT ISM
82
68
bigblackclock
82
69
Dhirendra singh yadav
82
70
Tiffany Chu
82
71
sebastian ronny
82
72
Ketut Artayasa
82
73
sumit nayak
81
74
Varun Nagar
81
75
Julien Olasiman
81
76
ADITYA KUMAR Singh
81
77
Ajinkyasinh Rajput
81
78
鄭凱仁
81
79
made sukma
81
80
Julian Carlos Gatchalian
81
81
Ahsan Barkati
81
82
smallIndianClock
80
83
Aditya Raj
80
84
almer hutapea
79
85
Guttacaro
79
86
study
79
87
Hedy Li
79
88
Max Holm
79
90
siddhu salvi
79
91
chaitanya jaolekar
79
92
Tejas Shyam Padgelwar
79
93
Иван Вихрев
79
94
Surabhi Sinha
78
95
Kartik
78
96
TBTR
78
97
raushan kumar
78
98
Corfaitch
78
99
Sphener
78
100
JJ
78
101
Chris Wallace
77
102
wadood
77
103
Harry Suen
77
104
Victor
77
105
Daniel Yip
77
106
Harry Ho
77
107
RP Gaur
77
108
Aarush Sahoo
77
109
K Venkat Madhav
77
110
SANYAM MODI
76
111
veeravalli ushasri
76
112
Sachin Sardiwal
76
113
Deepanshu
76
114
Alfred Monique Ventura
76
115
tushar gupta
76
116
Epycle
76
117
Jj Teoh
75
118
TGITG
75
119
Clement R
75
120
SOMASHEKAR A C
75
121
Namit Wadhwa
74
122
utkarsh srivastava
74
123
74
124
hamid
74
125
Nikolai Sy
74
126
ravi agarwal
74
127
GhulianiLakshya
74
128
Tanay Batra
74
129
sachin
73
130
divyansh anand
73
131
Arpit Agarwal
73
132
Rob
73
133
Roshan Jha
73
134
Karen Davtyan
73
135
Jackydukdik
73
136
Ashu
72
137
scjennywong
72
138
Ronit Chidara
72
139
Abdul Saboor
72
140
Jackie
72
141
Richard Akira Heru
72
142
Rajrishi Bhaisare
72
143
Sanjana Pramanik
72
144
Joel Jacob Thomas
72
145
Yash Shukla IIT BHU
72
146
Lin Bing Han
71
147
Ashish Ranjan
71
148
Dikshant Chawla
71
149
Shanon
71
150
Karthick Jayaraman
71
151
Nikhil Nehra
71
152
71
153
Dhaval Narwani
71
154
rishabh gupta
71
155
71
156
Anubhav
71
157
Harjot singh Bhatti
71
158
Thomas Lehmann
71
159
Jiunhao Lau
70
160
Kashyap Nepaliya
70
161
Gitin Arora
70
162
Дарья Сурова
70
163
tran nhat minh
70
164
ANIL PRASAD
70
165
Pooja karade
70
166
Kin Fung, Nicholas Ko
70
167
Kim Li
70
168
HiepQH
70
169
Vir Brendan Agero
70
170
Saptarshi Kumar
69
171
ประยุทธ์ จันทร์อังคารพุธ
69
172
Ruchin Raj
69
173
Severnoe Siyanie
69
174
Kushagra Kacholia
69
175
Hans Gilbert
69
176
Teow Sin Wei
69
177
HoanNguyen
69
178
Ramona Chia
69
179
Akshat Kumar
69
180
69
181
Kumar Raj
68
182
Ayush
68
183
Phung Dang Khoi
68
184
CTY
68
185
Prakash Milan
68
186
68
187
68
188
Kaushik Samantaray
68
189
68
190
黃兆宏
68
191
Julian Vidal Polania
68
192
Leung
68
193
Agrim
68
194
68
195
Nikhil Mudholkar
67
196
Siddhartha Malani
67
197
67
198
fox
67
199
Parth Lakhera
67
200
Ka Ming Sit
67
201
Sid
67
202
Nitin Shukla
67
203
Dhaval Parekh
67
204
Aman Modi
67
205
67
206
Ashutosh Gupta
67
207
Phùng Đăng Khôi
67
208
Stanislav Kenzie Handoyo
67
209
Đăng Khôi Phùng
67
210
anvesh voma
66
211
Swapnil Modani
66
212
Yi Min Li
66
213
Anvi
66
214
66
215
Harryyyy
66
216
Kaustubh Bhoir
66
217
nunununun
66
218
Dewansh Nigam
66
219
Wadim
66
220
Dhruv Mahajan
66
221
vardhan gupta
66
222
66
223
66
224
Christian Balboa
66
225
CM
66
226
Ankur Prakash
66
227
iamgermanshepherd
66
228
66
229
65
230
Vaibhav Rathore
65
231
RIN
65
232
Eskay
65
233
65
234
Super Nicholas The MLG BACON HAIR
65
235
Rahul Chanduka
65
236
Piyush Kumar
65
237
65
238
Diana Sharafutdinova
65
239
Jacks
65
240
Lucca
65
241
Anant 007
65
242
Trimitra Mahesa Aditya
65
243
listen to JJ Lin
64
244
Tarang Desai
64
245
KHUSHBU KACHHWAHA
64
246
64
247
64
248
64
249
Pooja Karade
64
250
hansraj choudhary
64
251
Harsh vardhan
64
252
grv SAW
64
253
nishant jha
64
254
Manu Sharma
64
255
Isa V
64
256
64
257
64
258
Utkarsh Saxena
64
259
Sriram Yenamandra
64
260
Ameya D
64
261
XPPUN THE KK 1234
64
262
63
263
Tay Yi Jiang Ace
63
264
KSUKan
63
265
eli
63
266
Adarsh Dubey
63
267
Esther
63
268
Eunseop Jeong
63
269
Rashi Tomer
63
270
Priyang Tripathi
63
271
Vipul Ramtekkar
63
272
Deepak Panchal
63
273
63
274
Shreyas Kumar
63
275
62
276
Jin Young Bang
62
277
Pogula Shiva Kumar
62
278
Asish Pradhan
62
279
G GG
62
280
Sumeet Nandi
62
281
Vikas Singh
62
282
De Linger
62
283
Timmy LORTZ [09R13M]
62
284
Satya swarup Jena
62
285
Yousef c t
62
286
sasidharreddy lankireddy
62
287
Ishaan Tehlan
62
288
Zarif Aiman
61
289
Chirag Garg
61
290
RockySince1951
61
291
k wai
61
292
Gaurav Kaushik
61
293
Archit Mundra
61
294
minh thuận trần
61
295
Human Being
61
296
Lian kwan
61
297
Rahul Choudhary
61
298
Sabir Molla
61
299
61
300
61
301
61
302
Leonardo Melchor Bania
61
303
Arish
61
304
suraj singh
61
305
60
306
Nadav Levi
60
307
60
308
60
309
Chen Jeffrey
60
310
Teo Nicholas
60
311
Sinswien Lee
60
312
Евгений Васильев
60
313
60
314
Divyansh Golyan
60
315
60
316
Parth Sharma
60
317
Vardh An
60
318
Samim Molla
59
319
Smriti
59
320
Anupam Dhar
59
321
Asterohnefos
59
322
Imad's Zone
59
323
59
324
Nttngl
59
326
MAI Quang Tuan
59
327
59
328
Prashant Kumar
59
329
ankur yadav
59
331
Rohan Rai
58
333
Himanshu Raj Khandelwal
58
334
Severnoe Siyanie
58
335
Puneet
58
336
태헌김
58
337
jatin rajani
58
338
Tanmay Singh
58
339
FDWinnertube
58
340
Preet Khalsa
58
341
58
342
Pankaj Sinha
58
343
VN
58
344
Daattavya Aggarwal
58
346
Nitish Roat
58
347
Shirish Shubhanker
58
348
Pak Bun Ko
58
349
Kavin
58
350
58
351
Anubhab Dutta
58
352
58
353
Debu Dubey
58
354
58
355
Naman Jain
58
356
Rangga Puraditama
57
357
57
358
Ketan Sharma
57
359
57
360
57
361
57
362
Chan Lok Hin
57
363
Bryan Cheuk
57
364
YIALSH JAPIBA
57
365
Kaiwei Lim
57
366
nurik bissenbay
57
367
hoàn phạm long
57
368
siddarth a
57
369
souparna
57
370
Vijendra Pal Singh
57
371
ongzz
57
372
Harsh
57
373
Annaseline Susilo
57
375
Tobias Kaiser
57
376
Mohit Kumar
57
377
57
378
Chalermwat Puapolthep
57
379
56
380
56
381
Epycle
56
383
Roshni
56
384
Jiyeon
56
385
Dharmesh Damania
56
386
56
387
56
388
Piyush Kumar
56
390
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56
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56
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56
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56
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56
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56
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56
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56
406
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56
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SUMIT RAJ
55
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55
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55
410
Shibasis
55
412
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55
413
Charles Cheng
55
414
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55
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Yerzhan Abzhanov
55
416
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55
417
55
418
irakli
55
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55
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Inferno Shade
55
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Ksss
55
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54
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54
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54
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54
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My
54
450
Anh Minh Tran Ngoc
54
451
54
453
54
454
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54
455
53
456
My senior is a loser
53
457
53
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53
460
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53
461
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53
462
Abhishek J
53
463
53
464
AMAN GUPTA
53
465
suresh
53
466
53
467
Abhishek Mullanavar
53
468
abhishek mahapatro
53
469
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53
470
Chesca Bernabe
53
471
& LEARN PLAY
53
472
Sam
53
473
53
474
52
475
Ashish Tiwary
52
476
surbhi dhanetwal
52
477
Samantha Lim
52
479
52
481
Samurai- The artist
52
482
ROBIN KUMAR
52
483
Lalit Pradhan
52
484
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52
486
HIMANSHU BAGHEL
52
487
52
488
Alex R
52
489
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52
490
Sachit Mehrotra
52
491
Nicky Fang
52
492
52
493
52
494
Amanda Margo
52
495
Kim Tanhui
52
496
52
497
Tahseen Quayum
52
498
Lester Tey
51
500
mani gidla
51

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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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