Leaderboard
Mexico
Mexico
Worldwide
Rank
Level
4
danaeavg@hotmail.com
Ciudad de México
77
5
Leydan Sánchez
Coahuila de Zaragoza
75
9
User
Jalisco
61
10
User
Nuevo León
61
12
User
Nuevo León
60
13
Paulina Diaz De La Paz
Baja California
56
14
Saul Villa
Ciudad de México
55
15
Eduardo Escamilla
Nuevo León
54
16
User
Nuevo León
54
17
Josue Chicatti
Guerrero
51
18
Edgar Gallegos
Nuevo León
50
19
User
Nuevo León
47
20
Luis Vazquez
Jalisco
46
21
Raul Aldana
Sinaloa
46
22
User
Puebla
45
26
User
Nuevo León
42
27
Herman Santos
Ciudad de México
41
28
User
Nuevo León
40
30
YyGaNz
Jalisco
38
31
User
Jalisco
38
33
User
México
37
34
User
Nuevo León
37
37
Hach
Querétaro
35
38
User
Jalisco
35
39
Xavier B
Nuevo León
35
40
Alvaro
Nuevo León
34
41
User
México
34
42
Agustín Díaz
Nuevo León
33
43
Leonardo Rodriguez Gutierrez
Chihuahua
33
48
User
Nuevo León
30
49
User
Nuevo León
29
50
User
Yucatán
29
51
User
Nuevo León
28
52
Ivan Charles
Nuevo León
28
55
Jose Pijamas
Oaxaca
28
56
User
Oaxaca
28
57
User
Nuevo León
28
58
Riley Hollis
Baja California Sur
27
61
User
Nuevo León
27
62
Hannah Jeong
Nuevo León
27
63
User
Jalisco
27
64
User
México
27
65
Garcia
México
27
66
User
Nuevo León
26
67
User
Nuevo León
26
69
User
Jalisco
26
70
User
Puebla
26
71
User
Nuevo León
25
72
User
Chihuahua
25
73
User
México
25
74
User
México
24
75
User
Nuevo León
24
76
User
Chihuahua
23
77
Woo Jin Kang
Nuevo León
23
78
User
Nuevo León
23
79
User
Jalisco
23
80
NEHEMIASQUISPE
Nuevo León
23
81
User
Nuevo León
23
82
User
Nuevo León
22
83
User
Nuevo León
22
84
Eduardo Valencia
Nuevo León
22
86
User
México
22
87
User
Nuevo León
22
88
User
Nuevo León
22
89
User
Nuevo León
22
92
Matt Smelser
Jalisco
21
93
User
México
21
96
User
Sinaloa
21
97
User
Guanajuato
21
99
User
México
20
100
User
México
20
101
User
Nuevo León
20
102
User
México
20
103
User
México
20
104
User
México
20
105
Nicolæs
Nuevo León
19
106
User
Morelos
19
108
User
Nuevo León
19
109
User
Nuevo León
19
110
User
Nuevo León
19
111
marioplus
Puebla
19
112
User
México
19
113
User
Nuevo León
19
114
User
Puebla
19
115
User
Nuevo León
18
116
User
Nuevo León
18
117
User
Tabasco
18
118
User
Nayarit
18
119
Sarah Namorado
México
18
120
User
México
18
121
User
México
18
122
User
México
18
123
User
México
18
126
User
Jalisco
17
127
User
México
17
128
User
Nuevo León
17
129
User
Nuevo León
17
130
User
Nuevo León
16
131
User
Querétaro
16
132
User
Guanajuato
16
133
User
Jalisco
15
134
User
Nuevo León
15
136
User
Nuevo León
15
137
User
México
15
139
User
México
15
141
User
México
15
142
User
Nuevo León
14
143
User
Nuevo León
14
144
Tacos
Guanajuato
14
145
veronica amaya
Puebla
14
147
User
Nuevo León
14
148
User
Jalisco
14
150
Sandra Carolina Peréz Castillo
Nuevo León
14
151
User
Nuevo León
14
152
User
Nuevo León
14
153
User
Nuevo León
13
154
User
Chihuahua
13
155
User
México
13
156
User
Hidalgo
13
157
User
Nuevo León
13
158
User
Chihuahua
13
159
User
México
13
160
Quasimodo y Moly
Baja California
13
161
User
Tamaulipas
13
162
User
México
13
163
User
Chihuahua
13
164
User
Nuevo León
12
165
User
Nuevo León
12
166
User
Nuevo León
12
168
Yohanan Salmerón Chaparro
Guerrero
12
169
User
México
12
170
DAVID PRUNEDA
Coahuila de Zaragoza
12
171
User
Nuevo León
12
172
User
Nuevo León
12
173
Ivan Viveros
Nuevo León
12
174
User
Nuevo León
12
175
User
Jalisco
12
176
User
Nuevo León
11
177
User
Nuevo León
11
180
Favio Villaseñor
Jalisco
11
183
User
México
11
184
User
México
11
185
Lucia Martinez Gonzalez
Nuevo León
11
186
User
Nuevo León
11
187
User
México
11
188
User
México
11
189
User
México
11
190
User
Nuevo León
11
192
User
México
11
193
User
Nuevo León
10
194
User
Sinaloa
10
195
User
Jalisco
10
196
User
México
10
197
User
Guanajuato
10
198
User
Guanajuato
10
199
User
Nuevo León
10
200
Victoria Fernández
Nuevo León
10
203
User
Jalisco
9
205
User
México
9
207
User
Nuevo León
9
208
Cemhta C
Nuevo León
9
209
User
México
9
210
Juan Felipe Cantu Garza
Nuevo León
9
211
User
Jalisco
9
212
User
Nuevo León
9
213
User
Nuevo León
9
214
Bibi
Hidalgo
9
215
User
Nuevo León
9
217
User
Nuevo León
8
218
User
Puebla
8
220
User
Tamaulipas
8
222
User
Nuevo León
8
223
Armando Villarino
Baja California
8
224
User
Guanajuato
8
226
User
Quintana Roo
8
227
User
Sinaloa
8
228
User
Nuevo León
8
229
User
Sonora
8
230
John Santa Maria
Puebla
8
231
User
Puebla
8
232
Karen Fonseca
Baja California
8
233
User
Guanajuato
7
234
User
Nuevo León
7
235
Miguel
Baja California
7
238
User
Guanajuato
7
239
User
Nuevo León
7
240
User
México
7
241
User
Nuevo León
7
242
User
Nuevo León
7
243
User
Sinaloa
7
246
User
Morelos
7
247
User
Nuevo León
7
248
User
Jalisco
7
249
User
Guanajuato
7
250
User
México
7
251
User
México
7
252
User
Nuevo León
7
253
User
Nuevo León
7
255
User
Nuevo León
6
256
User
Sinaloa
6
257
User
Jalisco
6
259
User
Guanajuato
6
260
User
Nuevo León
6
262
User
Guanajuato
6
265
User
Nuevo León
6
266
User
México
6
267
User
Jalisco
6
268
User
Puebla
6
269
User
México
6
271
User
Guanajuato
6
272
User
Tamaulipas
6
274
User
Guanajuato
6
275
User
México
6
276
User
Nuevo León
6
277
User
Chihuahua
6
278
User
Querétaro
5
279
Patitchi
Nuevo León
5
280
User
Chihuahua
5
281
User
México
5
282
User
México
5
285
User
México
5
286
User
Nuevo León
5
289
User
Jalisco
5
290
User
Querétaro
5
291
User
Querétaro
5
292
User
Morelos
5
293
User
Sonora
5
294
User
México
5
295
User
México
5
296
User
Nuevo León
5
298
User
Nuevo León
4
299
Jesús José Tronco Valencia
Nuevo León
4
300
User
Nuevo León
4
302
User
Nuevo León
4
303
User
Yucatán
4
307
User
Nuevo León
4
309
User
Nuevo León
4
310
User
Nuevo León
4
311
User
Puebla
4
313
User
Guanajuato
4
314
User
Sonora
4
316
User
Nuevo León
4
317
User
Jalisco
4
318
User
Nuevo León
4
319
User
Nuevo León
4
320
User
Nuevo León
4
321
User
Nuevo León
4
322
User
Nuevo León
3
325
User
Zacatecas
3
326
User
Guanajuato
3
327
User
Nuevo León
3
329
User
Querétaro
3
331
User
Yucatán
3
332
User
Jalisco
3
333
Marcella Judith Figueroa-Pelayo
Baja California
3
334
User
Nuevo León
3
335
User
Nuevo León
3
336
User
Quintana Roo
3
337
User
Nuevo León
3
338
User
Nuevo León
3
340
User
México
3
341
User
Durango
3
343
User
Jalisco
3
344
User
Querétaro
3
345
User
Quintana Roo
3
346
User
Guanajuato
3
347
Cynthia Lisbeth Alonso Plancarte
Nuevo León
3
348
User
México
3
349
User
Puebla
3
350
User
Querétaro
3
351
User
México
3
352
User
México
3
353
User
Puebla
3
354
User
Nuevo León
3
355
User
Nuevo León
3
356
Humberto Mtz.
Nuevo León
3
357
User
Jalisco
3
358
User
Nuevo León
3
359
User
Nuevo León
3
360
User
Nuevo León
3
361
User
Quintana Roo
3
362
User
México
3
363
User
Yucatán
2
367
User
Nuevo León
2
368
User
Querétaro
2
369
User
Puebla
2
370
User
México
2
371
User
Jalisco
2
374
User
Nuevo León
2
375
User
Nuevo León
2
376
User
Nuevo León
2
377
User
Nuevo León
2
378
User
Hidalgo
2
381
User
Durango
2
383
User
Puebla
2
384
User
Jalisco
2
386
User
Querétaro
2
387
User
Querétaro
2
388
User
Nuevo León
2
389
User
Nuevo León
2
390
User
México
2
391
User
Nuevo León
2
392
User
Nuevo León
2
393
Mariana Ramirez Cisneros
Nuevo León
2
394
Arantza Luis Garcia
Nuevo León
2
395
User
Nuevo León
2
396
Maria Luisa Fernandez Maltos
Nuevo León
2
397
User
Nuevo León
2
398
User
México
2
399
User
Guanajuato
2
400
User
Nuevo León
2
401
User
Guanajuato
2
402
User
Jalisco
2
403
User
Guanajuato
2
404
User
Guerrero
2
405
User
Querétaro
2
406
User
Puebla
2
407
User
Nuevo León
2
408
User
Nuevo León
2
409
User
Nuevo León
2
410
User
Puebla
2
412
User
Puebla
2
413
User
Nuevo León
2
414
User
Nuevo León
2
415
User
México
2
416
User
Yucatán
2
417
User
México
2
418
User
Puebla
2
419
User
México
2
420
User
Nuevo León
2
421
User
Nuevo León
2
422
User
Nuevo León
2
423
User
Nuevo León
2
424
User
Nuevo León
2
425
User
Nuevo León
2
426
User
Nuevo León
2
427
User
Nuevo León
2
428
User
Nuevo León
2
429
User
Nuevo León
2
430
User
Nuevo León
2
431
User
Nuevo León
2
432
User
Nuevo León
2
433
User
Nuevo León
2
436
User
Zacatecas
2
437
User
México
2
438
User
Jalisco
2
439
User
Jalisco
2
440
User
Puebla
2
441
User
Quintana Roo
1
442
User
Guerrero
1
443
User
Hidalgo
1
444
User
Nuevo León
1
446
User
Nuevo León
1
449
User
Jalisco
1
451
User
Jalisco
1
452
User
Jalisco
1
453
User
Puebla
1
454
User
Nuevo León
1
456
User
Tamaulipas
1
457
Nicolás Mancera De Olloqui
Aguascalientes
1
458
Nico Mancera
Aguascalientes
1
459
User
México
1
460
User
Nuevo León
1
461
User
México
1
463
User
México
1
464
User
Jalisco
1
465
User
Nuevo León
1
466
User
Nuevo León
1
467
User
Nuevo León
1
468
User
Nuevo León
1
470
User
México
1
472
User
México
1
475
User
México
1
476
Veronica Amaya
Puebla
1
477
Fatima Lucia Cadena Martin
Nuevo León
1
478
Miryam Jeanneth Briseño Melicoff
Sonora
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 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, 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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