Europe
Worldwide
Europe
Continental Team
Rank
Level
1
Joe shwarizmi
100
2
Giovanni Casalegno
100
3
Miklós Horváth
100
4
Matthew peters
99
5
Pi
99
7
Przegrywacz
98
9
Michał Bielicki
97
10
miklos mobile
97
11
Joonas Majuri
97
12
Tom Scotney
97
13
Maciej Jaworski
97
14
LiviuRebreanu
97
15
Sacha DM
97
16
Milan van de Meeberg
95
17
Francesco D
94
18
Danny Bragan
94
19
zhujik mnbv
93
20
Siggi
93
21
Ivan Angeli
93
22
Daphne Muller
92
23
Khog
91
24
Liz Maassen
91
25
Eddie
91
26
AmauryM
91
27
Jason C
91
28
Aleksandr Kostrub
90
29
tony
90
30
JoEp
89
31
kashmiriMirch
89
32
Joonas Majuri
89
33
Dene
88
34
Titus Pellegrom
87
35
Leonid Didyk
87
36
Oskar Dee
86
38
imba hero
86
39
Benjamin Button
85
40
Ihor Riabchich
85
41
Youss B.
85
42
Jamie Porter
84
43
Penguinaki
84
44
Justin Leemburg
84
45
Arouf gangsta (adm ou nevrax # RPZ la 1°10)
84
46
Gerd Wichers
84
47
Ljy08042003
83
48
Giulio
83
49
Łukasz Niemkiewicz
83
50
Kuschel Muschel
83
51
Pavalosk
83
52
Vitor Gouveia
83
53
Max Hofer
82
54
Sandro Lindenmann
82
55
Slavomira Rohacova
82
56
zoran acimovic
82
57
Mart
81
58
MG
81
61
User
81
62
Francesco Perniciaro
81
63
Marcell Szilvási
81
64
Matteo M
80
65
Jordan Seligmann
80
66
First Last
80
67
Boris Volkovich
80
68
Delage David
80
69
alfred hamberg
79
70
Jonathan
78
71
M
78
72
Cangurino
78
73
Harrison ieab
77
74
Casper Kejser
77
75
Eeshwar Sahnan
77
76
Jarosław Kaczyński
77
77
Tobias Bangsbo
77
78
Roderik Turksema
76
79
ZH Liu
76
80
Mischa Tromp
76
81
blu
76
82
Arthur De Magalhaes
76
83
François Ardèche
76
84
Andrew
76
85
Lucas Silva
76
86
Ana
76
87
Having a Quant Trading interview in a few days
76
88
Fabian Fake2
75
89
Reinis Spaile
75
90
Michel Zou
75
91
Phil Dori
75
92
Elliott M
75
93
Brian Charles
75
94
Derek Leung
75
95
oto g
75
96
Marek Jopek
74
97
Me15951
74
98
Meio
74
99
Gabriel Nguyen
74
100
Matthijs van Driel
74
101
isaac
74
102
Siany
74
103
Olle Rehnquist
74
104
Giovanni Passuello
73
105
tom
73
106
Trym Søvik Lyssand
73
107
Thomas Thybo
73
108
Erik Sier
73
109
Pim Kouwenhoven
73
110
Mateusz Morawiecki
73
111
Milch
73
112
imbahero NO one
73
113
Ganjo
73
114
Raúl García
73
115
ChimChim
72
116
pancarte
72
117
SeptemberDU3
72
118
Kel Thuzad
72
119
Jagoda
72
120
Andreas Falk
72
121
Kamadol
72
122
Leny Krief
72
123
Milos Basic
71
124
Merel Turksema
71
125
Alex Nordio
71
126
Gilbert Zenner
71
127
Ozymandias
71
128
z
71
129
Isabel Barnes
71
130
Miguel Juncais
70
131
kapi
70
132
Bruno Hatchondo
70
133
blghtning
70
134
Pierre Desforges
70
135
Malte
70
136
Christian Petralito
70
137
Mary Health
69
138
tothetop
69
139
Jaanus Lukk
69
140
rice pen
69
141
Motivation
69
142
Jonathan
69
143
Janez Novak
69
144
R B
69
145
Umar Hussain
69
146
Monsieur Y
69
147
Lukas Johansson
68
148
KD
68
149
Yash Singh
68
150
Kim Se Hun
68
151
Christodoulos Chatzimiltis
68
152
Elina Hurskainen - Salonen
68
153
The Krasich
68
154
Albert Chefen
67
155
enes köksal
67
156
Ich Rechne
67
157
Marnix Heuker of hoek
67
158
Juliette.Parachey
67
159
Ale Flammini
67
161
doktor smurf
66
162
Sonya Evlanchik
66
163
San Antonik
66
164
Rory Dunne
66
165
Enzo Andreacchio
66
166
Amandine ROUSSEAU
66
167
Talya Stern
66
168
Lylia
66
169
Meterzolf of Symbols
66
170
Pi Pu
66
171
Adrian G
66
172
Charlotte Roder
66
173
AVE
65
174
Hi There
65
175
David Y
65
176
Hugo Daniel
65
177
Dāvis Šterns
65
178
Tone
65
179
Nicolas Varlot
65
180
Jonny
65
181
Naël 1e6
65
182
Tasos Lls
65
183
Manon L
64
184
John Dear
64
185
THE ROGERS
64
186
Bublina
64
187
Anja albrizio
64
188
Danica Pallagast
64
189
James
64
190
Minas Alafasos
64
191
Smith
64
192
Asuma Sarutobi
64
193
un deux
64
194
Kalkulacka
64
195
Hans Olesen
64
196
Alexander Belushkin
64
197
Megamath
64
198
Miljan Raykovich
64
199
Max Hansen
64
200
Ypsilon
64
201
Rocco Di Vincenzo
63
202
Ian Veninga
63
203
M Wdl
63
204
George
63
205
TheDecayedOne
63
206
Martin Emilov
63
207
Clemens Cullmann
63
208
Petralito Pet
63
209
Shampoo
63
210
Gaetan Cretton
63
211
iCristi ツ
63
212
Arnold Smolders
63
213
tristan
62
214
Marcus Hodgart
62
215
Erik Skytting
62
216
Robin David
62
217
Marco
62
218
Wouter Huisman
62
219
Habib Edesse
62
220
Sam B
62
221
Massimo S
62
222
Soren Delplace
61
223
Michail Zampetakis
61
224
luci j
61
226
1102 Lu Hongyu
61
227
Shaun Marshall
61
228
Psyl Monst
61
229
Pieter Schuller
61
230
Max Bridge
61
231
ricky
61
232
Petar Nizić - Nikolac
61
233
Balazs
61
234
Jennifer Hardy
61
235
dario furrer
61
236
S Dan
60
237
Lawkvo
60
238
Mirk Krichma
60
239
James Froehlich
60
240
shield
60
241
Mário Gomes
60
242
Anano Basilaia
60
243
Michael Sakowski
60
244
Alex Aits
60
Minimum Level: 60
Teams in Europe
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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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