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North America
Rank
Level
1
Yanni Klepak
100
2
Algorox
100
4
Winston C
99
6
Morning fire drill
99
7
Sleep Amaris!!
98
8
Etash Guha
97
9
Mental math skills are overrated in trading
97
10
Annie Kim Myung-ho Jung
97
11
Vanderbly
97
12
Sawyer West
97
13
Brian Caulfield
97
14
Leonid Didyk
97
15
K. Gee
95
16
Carl Letscher IV
95
18
Rich Caputo
95
19
commandotaco
95
20
Aidan Lytle
94
21
Pratik Rathore
93
22
Trent
93
23
Yu Wen Lu
93
24
Michael Nguyen
92
25
Weiyi Xiao
92
26
E S
92
27
Rahul Jain
91
28
Thanujeet Nanugonda
91
30
Looking for a Junior Trader position: xhe22@berkeley.edu
91
31
Osten Loo
91
32
Favian Ho
90
33
Rohan Bagchi
90
34
Quincy Cason
90
35
Guo Shi Bei
90
36
Will
90
37
Looking for a Junior Trader position: jl6953@stern.nyu.edu
89
38
Gregory Eck2856
88
39
ade rev
88
40
Andrew Smiciklas [Valley HS]
88
41
luust
88
42
Anna
88
43
Sid Sridhar
87
44
Daniel Madsen
87
46
Billybeatbox
87
47
emerson
87
48
Leah
87
49
Owen Summers
86
50
George Washington
86
51
John Smith
86
52
Joshua He
86
53
Joe Scarborough
85
54
Blank Ygcp
85
55
TreeMint
85
56
Michelle Hosea
85
57
Matthew Chen
84
58
Bob Dobbs
84
59
Daregs
84
60
Ima Coder
83
61
Brian Chao
83
62
Pepperminty
83
63
James Doehring
83
64
Kimora Williams
83
65
Cameron Moats
83
66
dealpenguin2018@gmail.com
83
67
Dustin
83
68
robert
83
69
Ilrak Kerakeip
82
70
Dickson Wu
82
71
Jenn Jia
82
72
Koyomin
81
73
SUB TO PEWDIEPIWE
81
74
Travis Grady
81
75
P Stevens
81
76
Bobo
81
77
Steven Fan
81
78
Ed
81
79
Stanislav Perumov
81
80
Frazer Smith
80
81
EK
80
82
Andrew Komick
80
83
Tuby Zong
80
84
Debabi
80
85
DraticalSA1
80
86
Jeremy K. Stoltzfus
80
87
Will- Hole
80
88
@Modoz_CR
79
89
Jimmie
79
90
Justin
79
91
Samuel Ogunsanya
79
92
Jordan Katz
79
93
Andrew Couser
79
94
ishaan grewal
79
95
Jake Bloodsworth
79
96
Eason Wu
79
97
PA
78
98
Joseph Hernandez
78
99
Joseph Gelb
78
100
treedoeseverything
78
101
Kyler Sood
78
102
first last
78
103
Matan Gans
78
104
Michael 1
77
105
Kevin Wang
77
106
Stephen Cheng
77
107
Kevin Feng
77
108
Yanira Rose Arellano Solis
77
109
Sabrina Frias
77
110
Yanqi Huang
77
111
Debabi
77
112
Anahi Marie Barrientos
77
113
Mason Lien
77
114
Aviral Somani
77
115
Viral Jhaveri
77
117
Towel YouTube
76
118
Rye
76
120
Ethan Loftspring
76
121
Tanmay Joshi
76
123
Nolan Middendorf
76
124
Jiawei Huang
76
126
bob smith
75
127
Raven688
75
128
Jayhawk
75
129
Gianni Manginelli
75
130
Kristen Park
75
131
Eugene Park
75
132
Shahid M Salam
75
133
Jozef Putrycz
75
136
Favian Ho Two
74
137
Hakase
74
138
John Z
74
139
MathHead
74
141
Andrew W
74
142
John Yin
74
143
Joseph Cano
74
144
Michael Bosworth
74
145
Danny Estenberg
74
146
Philip Speegle
74
147
Steve Wong
74
148
Favian Ho Three
74
149
Amineh Beltran
74
150
S X
73
151
Sanjay Reddy
73
152
door glass
73
153
Matthew Padgett
73
154
Wilhelm Glaser-Gallion
73
155
Robert Hansen
73
156
Alan Shenkerman
73
157
John Smith
73
159
Harsh Mishra
73
160
Sharon
73
162
Rocky
72
163
Yohan Ninan
72
164
Adam Gawne
72
165
Rohit Chatterji
72
169
Steven Mai
72
170
Eric Liu
72
171
Hj Boobus
72
172
Jeffrey Hu
72
173
S A
72
174
Hakase
72
175
Jeremy Stoltzfus
72
176
Marcello Delgado
72
177
Austin Chou
72
178
Samuel Zhao
72
179
Awanish Khanal
72
183
71
184
SPONDULIX
71
185
SuperRobDog
71
186
RobDogLovesYou
71
187
71
188
71
189
Gacha Tiny
71
190
Minh Dang [STUDENT]
71
192
GoRobDogGo
71
193
Hello There
71
194
SeeRobDogRun
71
195
RobDogSharkDoDo
71
196
RobDogRocks
71
197
RobCoughDog
71
198
ItzCosmicGaming
71
199
Miguel Mejia
71
200
Caden Hanscom
70
201
Tony Grippando
70
202
Anthony Pei
70
203
Haining Zhou
70
204
Gurekmann Gill
70
205
Sherine Kokado
70
206
Karen Jiang
70
207
Richard Ramirez
70
208
Hosam Ali
70
209
TARAN KATTA
70
211
Alex Musslewhite
70
212
Grayson Silverman
70
213
Vladimir Sagan
70
214
Hoàn Phạm Long
69
215
Jason Xie
69
216
Russell Kim
69
218
Hannah Chu
69
221
Aidan
69
222
Yanlai Yang
68
223
Justin Yan
68
224
masub j
68
225
Sai Charan Chaduruvelly
68
226
J.D. Slattery
68
227
Andy Chen
68
228
Robert H
68
229
Arnav Singh
68
231
Simon Lin
68
232
Brandon Williams
68
233
Amanda Chuang
67
234
Robert Dole
67
235
Zhe Hu
67
236
Prabhakar Zutshi
67
237
Erika Petersen
67
238
Jaime Duenas-Gonzalez [STUDENT]
67
239
wullack
67
241
Ryan Burke
67
242
Richard
67
243
Justin D'Souza
67
244
Mj
67
245
LyraTheDragon
67
246
Izaan A
67
247
Kuvam Shahane
67
248
Ben Brown
67
249
Alex Kwon
66
251
Hoang Khanh Tu Duong
66
252
Damon Zachary Thompson
66
253
Hadi Rizvi
66
254
Aarij Rehman
66
255
Tyson Barney
66
256
Arthur Li
66
257
RobOhMyOhMy
66
258
RobbieBobbie
66
260
Maggie Basta
66
261
KRZ
66
263
Daddy Dick-Nuts
66
264
Gordon He Guo
65
265
yoyoyoyo
65
266
Vache Darbinyan
65
267
Andrew Sheinberg
65
268
Foster Honeck
65
269
Samuel honestly
65
270
Reed Peterson
65
271
Lance Johnson
65
272
Spitzer
65
273
SIRawsomerobdogpersonmanguydude
65
274
Dinofloss
65
275
JJCUBER
65
276
William Qiu
65
277
Sooji Kang
65
278
Tanisha Grewal
65
279
camden
65
280
Kalen Meine
65
281
Jacob Hess
65
282
Robby Czajkowski
64
283
hYdRoFlAsKsksksks
64
284
AP9
64
285
Ryan Zhang
64
286
EON RODRIGUEZ
64
287
Danielle Teter
64
288
64
289
SenorRobDof
64
290
Kenneth He
64
291
harshavardhan
64
292
Tanishq Pauskar
64
293
Sanjay Suresh
64
294
Christopher Reed
64
295
Kevin Chen
64
296
Mario Cuomo
64
297
Jay Yun
64
298
aperson
64
299
Zhang Boyuan
64
300
Jon Batscha
63
301
Shrek Shrotio
63
302
Nathaniel Day
63
303
Manuel Zwerger
63
304
Arlene Siswanto
63
305
Blues Brothers
63
306
David X
63
307
Cem Adatepe
63
308
Arsenal
63
309
Qiushi Yu
63
310
Alston Dsouza
63
311
Nikhil Kokra
63
312
Peter Luo
63
313
test
63
315
Manav Aggarwal
63
316
Lindsay Lehman
63
317
Akum Kang
63
319
Bill Huang
63
320
vinu
62
321
Daniel
62
322
John Ordway
62
323
Jeffrey Xu
62
325
MrRobDoggy
62
326
Grace Waggener
62
327
ALotOfNothing
62
328
Brandon Pozil
62
329
Derek
62
330
B K
62
331
Shiva Konamani
62
332
Patrick Pai
62
333
Luis Lopez Cabrera
62
334
Violet
62
337
David Fernandes
61
338
R G
61
339
Rohit Narayanan
61
340
Yi L Lin
61
341
Shizhuo Duan
61
342
sirius
61
343
Ash
61
344
David Knight
61
345
Gyarados Pokémon
61
346
Kimberly Zhang
61
347
Paula Paintsil
61
348
RobbieMcDoggie
61
349
PapaRobDog
61
351
Scott
61
353
Shawn McGee
61
354
Jordan Pepeson
61
355
Jagath Vytheeswaran
60
356
Rus
60
357
Allen Chen
60
358
Brandon Lee
60
359
Bongo
60
360
Matthew
60
361
Henry
60
362
RobbieDoggie
60
363
Pataki
60
364
Tyler Dennis
60
365
Josh Walter
60
366
Les Miserable
60
367
Bernd Pfrommer
60
368
Robo Panic
60
370
SirRobDog
60
371
Alex Neill
60
372
RyanKamp15
60
373
Julian T.
60
374
Kara Korussi
60
376
MrRobDog
60
377
JASON ROSEN
60
380
sakshi agte
60
381
StreamerBTW
60
382
Rajat Agrawal
60
383
Yash Patel
60
384
Sergei
60
386
Jack Twardos
59
387
Daniel Larkin
59
388
Owen Bai
59
389
Harry G
59
390
Mike Orr
59
391
Octavius
59
392
Steven Walker
59
393
CEL-IV
59
394
Looking for a Junior Trader position
59
395
Eli Burt
59
396
Chris
59
397
RobDog
59
398
Class Rocks
59
399
Alex Leonardi
59
400
Kyu
59
401
59
402
Aurelie Chow
59
403
RobDoggy
59
404
Florida
59
405
Xiaoman Zhang
59
407
Tyler Chiu
59
411
CEL IV
58
412
RobDogLog
58
413
BrokenSwordG
58
414
clide
58
415
CEL 4
58
418
Garrett Gordon
58
419
Richard Williams
58
420
aryaman sethi
58
421
Andrew Huang
58
422
Vikram Krishna
58
423
U DONT KNO ME
58
424
Abhinav Kurada
58
425
Gurak
58
426
Hrithvik Alex
58
428
Cameron Allen
58
429
Atharva Shukla
58
430
Pranav Pillai
58
431
58
434
cello cat
58
435
Samuel Paris
58
436
Kyle Coletta
58
438
Martín Harari
58
439
Gertibird
57
440
Kaos
57
442
Hello my name is Finn Dedek
57
443
Robert Dye
57
444
Test Subject
57
445
Finn Maloney
57
447
57
451
A S
57
452
FINSKO GOI
57
455
Elyse Paneral
57
456
Brady
57
459
Max Anderson
57
460
John Raffaele
57
461
Natalie Schnose
57
463
Colton Nishida
57
464
tony huang
57
466
Bachir Flitti
57
467
Michael Ko
57
470
Fundamental Discipline
56
471
Lincoln Anderson
56
472
CL
56
473
Maaz Ahmad
56
475
Seo Young Lee
56
476
Ademola Oladosu
56
477
Eve Freeman
56
478
CEL IV
56
480
Giancarlo Pickering
56
483
Chris Hansen
56
485
Jeremy Griffin
56
486
Edna Castellanos
56
487
idk
56
488
Kris Patel
56
489
Michael Lu
56
490
Samantha Hallgren
56
491
Alex Wen
56
492
Raymond
56
493
Rahul R Ramaswamy
56
496
Badminton King
56
498
Elliot Han
56
499
Theo V
56
500
Ayan Guha
56

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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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