Leaderboard
Mexico
Mexico
Worldwide
Rank
Level
1
Eduardo Escamilla
Nuevo León
90
5
Eduardo Mora
Ciudad de México
70
8
danaeavg@hotmail.com
Ciudad de México
62
9
Edgar Gallegos
Nuevo León
57
10
Jorge Rolando Chávez Mackay
Nuevo León
54
11
Paulina Diaz De La Paz
Baja California
53
12
Leydan Sánchez
Coahuila de Zaragoza
53
13
Angelica Munoz
Querétaro
52
14
David R. Parrish B.
Ciudad de México
51
17
User
Nuevo León
49
18
Daniel Zond
Aguascalientes
47
20
Josue Chicatti
Guerrero
39
21
User
Nuevo León
39
22
User
Nuevo León
39
23
User
Nuevo León
38
24
User
Nuevo León
37
25
Pete Nelson
Ciudad de México
37
26
User
Puebla
36
27
Julio Andrés Arriaga Rangel
Nuevo León
36
28
Yash Sharma
Jalisco
35
30
Luis Vazquez
Jalisco
33
32
Alvaro Villarreal
Nuevo León
33
33
User
Nuevo León
32
34
Ed McWilliams
Morelos
32
37
Saul Villa
Ciudad de México
29
38
YyGaNz
Jalisco
27
40
Avrock Zoxa
Nuevo León
27
41
User
Nuevo León
26
42
User
Nuevo León
25
44
Agustín Díaz
Nuevo León
25
48
User
Nuevo León
22
49
Raul Aldana
Sinaloa
22
50
Herman Santos
Ciudad de México
22
51
User
Sinaloa
22
52
veronica amaya
Puebla
21
53
Ivan Charles
Nuevo León
21
56
Martin jimenes guzman
Ciudad de México
21
58
User
Jalisco
21
60
User
Nuevo León
21
61
Adan O
Guanajuato
20
62
User
Jalisco
20
64
User
Nuevo León
20
67
Hach
Querétaro
19
68
User
Nuevo León
19
70
User
Jalisco
19
71
User
Nayarit
19
72
User
Nuevo León
19
73
User
Jalisco
18
74
Arturo Olvera
Ciudad de México
18
77
User
Nuevo León
17
79
User
Nuevo León
16
80
User
Nuevo León
16
81
Riley Hollis
Baja California Sur
15
82
User
Puebla
15
84
User
Region
15
85
User
Nuevo León
15
88
Nicolæs
Nuevo León
15
89
Leonardo Rodriguez Gutierrez
Chihuahua
15
91
User
Morelos
14
92
User
Nuevo León
14
93
User
Nuevo León
14
95
User
Jalisco
14
96
Jon Merino
Puebla
14
97
User
Querétaro
13
99
User
México
13
100
User
Nuevo León
13
101
Wooferz Frankerz
Ciudad de México
13
102
Eduardo Valencia
Nuevo León
13
104
User
Hidalgo
12
105
User
Nuevo León
12
106
User
México
12
107
User
Nuevo León
12
108
User
Nuevo León
12
110
User
Nuevo León
12
112
Jose Pijamas
Oaxaca
12
113
User
Chihuahua
12
114
User
Nuevo León
12
116
User
Oaxaca
12
117
User
Nuevo León
12
118
Yohanan Salmerón Chaparro
Puebla
12
119
User
Nuevo León
11
120
User
México
11
123
Hannah Jeong
Nuevo León
11
124
User
Chihuahua
11
125
User
Nuevo León
11
126
User
Nuevo León
11
127
User
Jalisco
11
128
User
Nuevo León
11
129
Xavier B
Nuevo León
11
130
User
Oaxaca
11
131
User
Nuevo León
11
132
User
Tabasco
11
133
User
Nayarit
10
134
User
Nuevo León
10
135
User
Nuevo León
10
136
User
Nuevo León
10
137
User
Nuevo León
10
138
User
Nuevo León
10
139
User
Yucatán
10
140
User
Nuevo León
10
143
User
Chihuahua
10
144
User
México
10
146
User
Jalisco
10
147
User
Hidalgo
10
149
Woo Jin Kang
Nuevo León
9
150
User
Nuevo León
9
152
User
Nuevo León
9
153
Tacos
Guanajuato
9
154
Sarah Namorado
México
9
155
User
Nuevo León
9
157
User
México
9
158
User
Jalisco
9
159
Matt Smelser
Jalisco
9
160
User
México
9
163
User
México
9
164
User
México
9
165
User
Nuevo León
9
166
User
Nuevo León
9
167
User
México
9
168
User
Nuevo León
9
169
User
Nuevo León
8
171
User
Nuevo León
8
172
User
Jalisco
8
175
NEHEMIASQUISPE
Nuevo León
8
177
User
México
8
179
Favio Villaseñor
Jalisco
8
180
Marcela MV
Nuevo León
8
181
User
México
8
182
User
Nuevo León
8
184
User
Sinaloa
8
185
User
México
8
186
User
México
8
187
User
Jalisco
8
189
User
Yucatán
8
190
User
Nuevo León
7
191
User
México
7
192
User
Nuevo León
7
194
User
Chihuahua
7
195
User
Nuevo León
7
198
User
México
7
199
User
México
7
200
User
México
7
201
User
México
7
202
User
Sinaloa
7
203
Quasimodo y Moly
Baja California
7
207
User
Nuevo León
7
208
User
Nuevo León
7
210
User
Puebla
7
211
User
México
7
212
User
Jalisco
7
214
User
México
7
215
User
México
7
218
User
México
7
219
DAVID PRUNEDA
Coahuila de Zaragoza
6
220
User
Tabasco
6
221
User
Querétaro
6
222
User
Nuevo León
6
223
User
Jalisco
6
225
User
Nuevo León
6
226
User
Nuevo León
6
227
User
México
6
228
User
Guanajuato
6
229
User
Puebla
6
230
User
México
6
231
User
México
6
232
User
Tamaulipas
6
233
marioplus
Puebla
6
234
User
México
6
235
User
Nuevo León
6
236
User
Guanajuato
6
237
User
Nuevo León
6
238
Miguel
Baja California
6
242
User
México
6
243
User
Nuevo León
6
244
User
Nuevo León
6
245
Armando Villarino
Baja California
6
246
User
Tamaulipas
6
247
User
Guanajuato
6
249
Lucia Martinez Gonzalez
Nuevo León
5
251
User
Guanajuato
5
252
User
Nuevo León
5
253
User
México
5
254
User
Nuevo León
5
255
User
México
5
256
User
Nuevo León
5
257
User
Nuevo León
5
259
User
Guanajuato
5
260
User
Nuevo León
5
261
User
Sinaloa
5
262
User
Nuevo León
5
263
User
México
5
264
User
México
5
265
User
Tamaulipas
5
266
User
Guanajuato
5
267
User
México
5
268
User
Guanajuato
5
269
User
Guanajuato
5
270
User
México
5
271
User
Jalisco
5
272
User
Nuevo León
5
274
User
Nuevo León
5
275
Cemhta C
Nuevo León
5
276
User
Guanajuato
5
278
User
México
5
279
User
México
5
280
User
Quintana Roo
5
281
User
Nuevo León
5
282
Juan Felipe Cantu Garza
Nuevo León
4
283
User
Jalisco
4
285
User
Guanajuato
4
286
Sandra Carolina Peréz Castillo
Nuevo León
4
287
User
Nuevo León
4
291
User
Nuevo León
4
292
User
Nuevo León
4
293
User
México
4
294
User
Sinaloa
4
295
User
Nuevo León
4
296
User
Querétaro
4
297
User
Nuevo León
4
298
User
México
4
299
User
Jalisco
4
300
User
México
4
301
Patitchi
Nuevo León
4
303
User
Nuevo León
4
304
User
Chihuahua
4
305
User
Nuevo León
4
306
User
México
4
307
User
Sinaloa
4
309
User
Nuevo León
4
310
User
México
4
311
Bibi
Hidalgo
4
313
User
Nuevo León
4
314
User
Nuevo León
4
316
User
Jalisco
4
319
User
Morelos
3
320
User
Nuevo León
3
321
User
Sonora
3
322
User
Puebla
3
323
User
México
3
325
User
Tamaulipas
3
327
User
Jalisco
3
328
User
México
3
329
User
Nuevo León
3
331
User
Nuevo León
3
332
User
Jalisco
3
333
User
Quintana Roo
3
335
User
Guanajuato
3
337
Jesús José Tronco Valencia
Nuevo León
3
339
User
Guanajuato
3
340
User
México
3
341
User
México
3
342
User
Nuevo León
3
343
User
Tamaulipas
3
345
User
Guanajuato
3
346
User
Nuevo León
3
347
User
Jalisco
3
348
User
Querétaro
3
350
User
Jalisco
3
351
User
Nuevo León
3
352
User
Nuevo León
3
354
Mr diaXo
Ciudad de México
3
355
User
Nuevo León
2
356
User
Yucatán
2
357
User
México
2
359
User
Querétaro
2
360
User
Sinaloa
2
361
User
Nuevo León
2
362
User
Nuevo León
2
364
User
Morelos
2
365
User
Puebla
2
369
User
Nuevo León
2
370
User
Zacatecas
2
371
User
Guanajuato
2
372
User
Jalisco
2
374
User
Sonora
2
376
User
Nuevo León
2
377
User
Nuevo León
2
379
User
México
2
380
User
México
2
381
User
Querétaro
2
384
User
Yucatán
2
386
User
Nuevo León
2
387
User
Jalisco
2
388
User
Nuevo León
2
389
User
Nuevo León
2
390
Marcella Judith Figueroa-Pelayo
Baja California
2
391
User
Nuevo León
2
392
User
Nuevo León
2
393
User
Quintana Roo
2
394
User
Nuevo León
2
395
User
Nuevo León
2
396
User
Puebla
2
397
User
Nuevo León
2
398
User
Querétaro
2
400
User
México
2
401
User
Durango
2
402
User
Sonora
2
403
User
Quintana Roo
2
404
User
Yucatán
2
406
User
Guanajuato
2
407
User
Nuevo León
2
408
User
Sonora
2
413
User
Nuevo León
2
414
User
Querétaro
2
415
User
México
2
416
User
Jalisco
1
417
User
Puebla
1
418
User
México
1
420
User
Nuevo León
1
421
User
Jalisco
1
422
User
Jalisco
1
424
User
Querétaro
1
426
User
Jalisco
1
427
User
Nuevo León
1
428
User
Nuevo León
1
429
User
Quintana Roo
1
430
User
Nuevo León
1
431
User
Nuevo León
1
432
User
Nuevo León
1
433
User
Querétaro
1
435
User
Guanajuato
1
436
User
Nuevo León
1
437
Cynthia Lisbeth Alonso Plancarte
Nuevo León
1
439
User
Nuevo León
1
440
User
Jalisco
1
441
User
México
1
442
User
Hidalgo
1
443
User
México
1
444
User
México
1
445
User
Puebla
1
447
User
Nuevo León
1
449
User
Querétaro
1
450
User
Durango
1
451
User
México
1
452
User
México
1
455
User
Puebla
1
456
User
Puebla
1
457
User
Nuevo León
1
458
User
Nuevo León
1
459
Humberto Mtz.
Nuevo León
1
460
User
Jalisco
1
461
User
Nuevo León
1
463
User
Jalisco
1
464
User
Sinaloa
1
467
User
Querétaro
1
468
User
Querétaro
1
470
User
Nuevo León
1
471
User
Nuevo León
1
472
User
Puebla
1
473
User
Nuevo León
1
475
User
Nuevo León
1
476
User
México
1
477
User
Nuevo León
1
478
User
Nuevo León
1
479
lucy
Yucatán
1
480
User
Guanajuato
1
481
User
Morelos
1
482
User
Nuevo León
1
483
User
Nuevo León
1
484
Mariana Ramirez Cisneros
Nuevo León
1
485
User
México
1
486
Maria Luisa Fernandez Maltos
Nuevo León
1
487
Axel Chavez
Ciudad de México
1
488
User
Guanajuato
1
489
User
Quintana Roo
1
490
User
Nuevo León
1
491
User
Guanajuato
1
492
User
Guerrero
1
493
User
Hidalgo
1
494
User
Jalisco
1
495
User
Guanajuato
1
496
User
Nuevo León
1
498
User
Nuevo León
1
500
User
Guerrero
1
501
User
Querétaro
1
503
User
Jalisco
1
505
User
Puebla
1
506
User
Nuevo León
1
507
User
Nuevo León
1
508
User
Nuevo León
1
509
User
Puebla
1
511
User
Puebla
1
512
User
Nuevo León
1
513
User
Nuevo León
1
514
User
México
1
515
User
Yucatán
1
516
User
México
1
517
User
Jalisco
1
518
User
Jalisco
1
519
User
Puebla
1
520
User
Puebla
1
521
User
Nuevo León
1
522
User
México
1
524
User
Tamaulipas
1
525
Nico Mancera
Aguascalientes
1
526
User
México
1
527
User
Nuevo León
1
528
User
Nuevo León
1
529
User
Nuevo León
1
530
User
Nuevo León
1
531
User
Nuevo León
1
532
User
Nuevo León
1
533
User
Nuevo León
1
534
User
Nuevo León
1
535
User
Nuevo León
1
536
User
Nuevo León
1
537
User
Nuevo León
1
538
User
Nuevo León
1
539
User
Nuevo León
1
540
User
Nuevo León
1
541
User
Nuevo León
1
542
User
México
1
544
User
México
1
545
User
Jalisco
1
546
User
Nuevo León
1
547
User
Nuevo León
1
548
User
Nuevo León
1
549
User
Nuevo León
1
551
User
México
1
554
User
México
1
557
User
México
1
558
Veronica Amaya
Puebla
1

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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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