Europe
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Europe
Rank
Level
1
Miklós Horváth
100
2
Guys, who is now a Trader? snd18@ic.ac.uk
100
3
Jamie Porter
100
4
Gerd Wichers
100
5
Giovanni Casalegno
99
6
Matthew peters
99
7
LiviuRebreanu
99
8
Eddie
98
9
Joonas Majuri
98
10
Joonas Majuri
98
11
M Yu
98
12
Justin Leemburg
97
13
Slavomira Rohacova
96
14
zhujik mnbv
96
15
Giulio
96
17
Pavalosk
95
18
Boris Volkovich
94
19
Tobias Bangsbo
94
20
Tom Scotney
94
21
Casper Kejser
94
22
Jack jack jack
93
23
ZH Liu
93
24
Having a Quant Trading interview in a few days
92
25
Antonis Peronis
92
26
Elliott M
92
27
kashmiriMirch
91
28
Derek Leung
91
29
Meio
91
30
isaac
90
31
Marcell Szilvási
90
32
Olle Rehnquist
90
33
Matthijs van Driel
90
34
Brian Charles
90
35
Lucas Silva
90
36
Liz Maassen
90
37
Thomas Thybo
89
38
pancarte
89
39
Jarosław Kaczyński
89
41
Michel Zou
89
42
imbahero NO one
89
43
SeptemberDU3
89
44
Longinus torwaldzki
89
45
Kel Thuzad
88
46
François Ardèche
88
47
Ihor Riabchich
88
48
ChimChim
87
49
Ozymandias
87
50
Gilbert Zenner
86
51
Zizi
86
52
First Last
86
53
Trym Lyssand
86
54
Marek Jopek
86
55
Patricio Battilana
86
56
Miguel Juncais
86
57
Motivation
85
58
Francesco Perniciaro Spatrisano
85
59
Janez Novak
84
60
Jonathan
84
61
Lukas Johansson
84
62
Umar Hussain
84
64
Erik Sier
84
66
Yash Singh
83
67
Christian Petralito
83
68
Delage David
83
70
Anton Kaprenin
82
71
Ozzy Dee
82
72
Kim Se Hun
82
73
Mateusz Morawiecki
82
74
Pi Pu
82
75
Bruno Hatchondo
81
76
blghtning
81
77
doktor smurf
81
78
Charlotte Roder
81
79
Dāvis Šterns
81
80
Meterzolf of Symbols
80
81
Gabriel Nguyen
80
82
Hugo Daniel
80
83
KD
80
84
Nicolas Varlot
80
85
Naël 1e6
80
86
Manon L
80
87
tothetop
80
88
AVE
79
89
un deux
79
90
TheDecayedOne
79
91
Minas Alafasos
79
92
Ich Rechne
79
93
Bublina
79
94
Smith
79
95
Gaetan Cretton
79
96
Jonathan
79
97
Martin Emilov
79
98
Shampoo
78
99
Arnold Smolders
78
100
Megamath
78
101
Ypsilon
78
102
Rocco Di Vincenzo
78
103
M Wdl
78
104
Marcus Hodgart
78
105
Petralito Pet
78
106
George
78
107
Francesco D
78
108
Ian Veninga
78
109
David Y
77
110
Wouter Huisman
77
111
Soren Delplace
77
112
Sandro
77
113
John Dear
77
114
Jagoda
77
115
Miljan Raykovich
76
116
1102 Lu Hongyu
76
117
ricky
76
118
Balazs
76
119
Robin David
76
120
Lawkvo
76
121
Siany
76
122
Diego Caligiore
76
124
dene
76
125
Sonya Evlanchik
76
126
luci j
75
127
Mário Gomes
75
130
Alex Aits
75
131
Maxence Tricheur
75
132
Psyl Monst
75
133
Me15951
75
134
Aarush
74
135
Alexander Belushkin
74
136
imbahero NO one
74
137
Tolga Celebi
74
138
Anano Basilaia
74
140
Woodrow Wilson
74
141
Santa Claus
74
142
Leonid Didyk
74
143
Albert Chefen
74
144
Gabi
74
145
Raúl García
74
146
San Antonik
73
148
oskwara
73
149
Hans Olesen
73
150
Sherwin Liu
73
151
Nils Asklöv
73
152
Yannick Vels
73
153
Asuma Sarutobi
73
154
72
155
Joonas Jõeleht
72
156
Tuukka Tuomikoski
72
157
Reinis Spaile
72
158
luka riba
72
159
Sean McCarthy
72
160
Richard Winterpeen
72
161
Cucumba
72
162
Scott Wilton
72
163
Dekaz Turuz
72
164
Kyle
72
165
JoEp
71
166
Yuri Roukes
71
167
Gregor Beni
71
168
nico stef
71
169
Ela
71
170
gabrielperone
71
171
João Gomes
71
172
Michael Sakowski
71
173
asd
71
174
Maciej Kopanski
71
175
JaapBakker
70
176
lisanne vis
70
177
Calculator
70
178
Math McMathface
70
179
Riley Payne
70
180
Shields
70
181
shield
70
182
Fried Lohr
70
183
Jeff
70
185
Antoine
70
186
Jennifer Hardy
70
187
Vlad Sitaru
70
188
James Krano
70
189
Henk
70
190
Joonas Majuri
70
191
Pim Kouwenhoven
70
192
BichodoMato
69
193
asdada
69
194
Aeroex Aeroex
69
195
Alessandro Flammini
69
196
Shrootz
69
197
Joe al shwarizmi
69
198
Volha Taliaronak
69
199
Sacha Di Martino
69
200
Hayk Darbinyan
69
201
69
202
ReynaertPJ
68
203
Nvc Nvc
68
204
Vitto130457
68
205
MATH
68
206
Laura Scott
68
207
68
208
Tim Tamet Martinez
68
209
compte gmail
68
211
Arnaud MULLER
68
212
Jomppe Vesangasta
68
213
Kornel Rakowski
68
214
zipsy pony
68
215
shirlene yung
68
216
asd sadsa
67
217
Maciej Jaworski
67
218
Anais Deere
67
219
imbahero
67
220
Karna Potwar
67
222
Milos Basic
67
223
Ishmael O'Kearns
67
224
Szleper
67
225
WhiteFalcon
66
226
Pan Mun Jom
66
227
Abhiraj
66
228
Bunk McGregor
66
229
Jack
66
230
Olli Tiainen
66
231
66
232
AmauryM
66
233
Toluwalase 104
66
235
Maarten van den Akker
66
236
juodumas
66
237
Helyey
66
238
Andreas Falk
66
239
Nabih Hanbali
66
240
Jana
66
241
66
242
abdul hassad
65
243
Predrag Milic
65
244
Just van Aanholt
65
246
Francois Méré
65
247
Robbe
65
248
Maria Obregon
65
249
Alexandru Dima
65
250
Guus Veldhuijzen
65
251
Peter Vree
65
253
Emmanuel Brun d'Aubignosc
65
254
RandomID
64
256
Lylia • Draw Ly
64
257
Matias Leikkonen
64
258
Felix Markus Heimann
64
259
TECHNICKE LYCEUM
64
260
Aarthi Thangavel
64
261
Erik Skytting
64
262
Cumsa Treasurer
64
263
Kaiya
64
264
MB
64
265
blu
64
266
Human Calculator
64
267
64
268
vitor shadows
64
269
oedoen v Horvath
64
271
MartimG
63
272
Daisy Liu
63
273
Hlieb Halunko
63
274
EF
63
277
63
279
Ulrich Hornheimer
63
280
Zweit Mail
63
281
Bruno
63
283
Elizabeth Brown
62
284
dario furrer
62
285
Firas
62
286
richard penny
62
287
Simon
62
288
Seb
62
289
Elena
62
290
Harjan Khaira
62
292
Elmedin
62
294
Emanuela Szostakow
61
295
Joonas Majuri
61
296
Tyrael
61
297
pim
61
298
Tasos Lls
61
299
BuzzB
61
300
Agualva Cacem
61
301
Just Kata
61
302
RedditSpeaks
61
303
dsfds sdf
61
304
Nikos Bosse
61
305
Mark
61
306
Erik M. L. Johannesen
61
308
Evans Rozario
60
309
Tom Bour
60
310
Stelios Antorkas
60
311
MG
60
312
Jur Tasseron
60
314
Mark Brand
60
315
jozo jozyk
60
316
Petr Novák
60
317
A
60
318
ViniP00
60
319
Christopher Dick
60
320
metalzt
60
321
Egor mashukov
60
323
André Gonçalves de Castro
59
325
Roger Ralio
59
326
Evrard
59
327
Wenyu Cheng
59
328
Marco
59
329
Szilard Kui
59
330
F CDN
59
331
Frank
59
332
Oliver Sier
59
333
Caio Caetano Luna
59
334
Azortyen
59
335
Vladislav Kubík
59
336
econ dumdum
59
337
Zsombor Oláh
58
338
Lucas Alava
58
340
Kamil Kozioł
58
341
Mitch Hodges
58
342
Joonas Majuri
58
343
YUi
58
344
Skyer
58
345
Joanne Okanlawon
58
346
phipsae
58
347
Eliete Costa
58
348
58
350
ramin
58
351
Uli Kaiser
58
352
Jorge Segura
58
353
Fridtjov Stokkeland
58
354
yunus.tan
58
355
Dork Nada
58
357
Rambo
58
358
Miguel Vasconcelos
58
359
fas are
57
360
Frank Burton
57
361
Edisher Kipiani
57
363
Roel Stillekens
57
364
icecuber
57
365
DY brave
57
366
Mágico Freire
57
367
R Kepser
57
368
JovBla
57
369
Roland Tóth
57
370
Fabi89
57
375
Jordi
56
376
Ignas Masiokas
56
377
Lerp derpderp
56
378
Christian K
56
379
joannapereda
56
380
56
381
Trade Ticker
56
382
Alireza Saeed-Akbari
56
383
Aleksandra Strzelecka
56
384
Alexander Zhang
56
385
MC
56
386
56
387
Daan Wimmers
56
388
Aurimas Likas
56
389
Palfi Csaba Sandor
56
390
Asdad Dsaad
56
391
Tim
55
393
55
394
Cosmin Nastasa
55
395
Ricky Green
55
396
eis
55
397
Tommy Jankowski
55
398
Seweryn Piotrowski
55
399
Juki Ikuj
55
400
Yasmine MARENZI
55
402
edmond turquieh
55
403
muh arithmetic
55
404
Daniele Transerici
55
405
ChainLink
55
406
Roninkoi
55
407
InSane Samp
55
409
Ben Nordwick
55
410
Xavier
54
411
Bogdan Boroș
54
412
Natalie Wall
54
413
Bruno Jahn
54
414
Maximilian Borstell
54
415
Joonas Majuri, Vesanka
54
416
Amandine Roche
54
418
Sven Polak
54
419
El Barto
54
422
Jerry Laurent
54
423
Philomène Labilloy
54
424
GreenSmurf
54
425
Vitalijus Pliaska
54
426
Lars Holtappels
54
427
Siddhant Manchanda
53
428
Mustapha Chrifi
53
429
Gillian Tyldesley
53
430
Daisy S
53
431
Daan Commandeur
53
432
Rik Noij
53
433
yavie kementari
53
434
Paul Smith
53
435
Jordan Laforet
53
437
Sarah Alexandra
53
438
Princewood
53
439
João Vigário
53
440
Boudewijn Weel
53
441
Kelvin Yeung
53
442
hesham gaber
53
443
Nick Davies
53
444
Benjamin Oosterom
53
445
PinkDraconian
53
447
Carles Pinyol Mas
53
448
Thomas Blaker
53
450
Fabian
53
451
Michał Koziński
53
452
Amrita
53
453
shanoon kadds
53
454
Janek Terlikowski
53
455
Daphne Muller
53
456
Muhamed Ashiq
52
457
Marcardy
52
458
thomle
52
459
tom mueller
52
460
Mark L
52
461
Simon Kallmaier
52
463
connor davies
52
464
Theresa Boetticher
52
465
a a
52
466
Tomás Santos
52
467
Maeve Sinnott
52
468
Tijn Ackermans
52
469
52
470
Jan Chlopčík
52
471
Andrei Puspana
52
472
Alexandra Hotti
52
473
Johnny Nguyen
52
474
Simi Chavda
52
475
Erik B
52
476
52
477
Joel
52
478
TomTom
51
480
Sabik Badr
51
481
Jan Zitko
51
483
Raman Noodles
51
484
Gonçalo Ganhão
51
485
Gorgoroth
51
486
Engineer Zainub
51
487
Mihai Pirtac
51
488
titold wacikiewicz
51
489
Olivier van der Vet
51
490
51
491
Jessey S.
51
492
An za
51
493
Helios Chromatic
51
494
Vitor Gouveia
51
495
OverFukos
51
496
Shreyans Jain
51
497
Jusu Jusunovs
51
498
Fabrizio Lilliu
51
499
Floris
51
500
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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