Leaderboard
Romania
Romania
Worldwide
Rank
Level
1
Palfi Csaba Sandor
Cluj
76
2
InSane Samp
Neamţ
74
3
Bogdan Boroș
Bucureşti
73
4
User
Neamţ
67
5
User
Timiş
66
6
Alex Hazi
Bihor
63
7
Alexandru Ioan Pricop
Neamţ
58
8
User
Bucureşti
55
9
User
Iaşi
51
10
User
Bucureşti
51
11
User
Neamţ
49
12
User
Constanţa
47
13
Alexandru Stefan
Iaşi
45
14
Zoltán Király
Timiş
45
15
User
Arad
39
16
User
Argeş
39
17
hagea
Bucureşti
39
18
User
Bacău
38
19
User
Bucureşti
37
20
Vanilla
Neamţ
36
21
Dan Damian
Ilfov
36
22
User
Bucureşti
36
23
User
Neamţ
36
24
Ion Prodan
Bucureşti
36
25
Slavic Dragovtev
Braşov
36
26
Cristian Sava
Bucureşti
34
27
User
Suceava
33
28
User
Constanţa
32
29
User
Bucureşti
31
30
User
Mureş
30
31
User
Neamţ
30
32
User
Bucureşti
30
33
User
Bucureşti
30
34
nimeni baubau
Buzău
30
35
User
Timiş
29
36
ChaSeR
Bucureşti
29
37
User
Bucureşti
29
38
User
Maramureş
29
39
User
Bucureşti
29
40
User
Timiş
28
41
Tibor Toro
Bucureşti
27
42
Raz3Romania
Suceava
27
43
LiviuRebreanu
Suceava
27
44
User
Neamţ
26
45
User
Timiş
26
46
User
Maramureş
26
47
User
Bucureşti
26
48
User
Hunedoara
24
49
User
Arad
24
50
User
Bucureşti
24
51
C Alex
Timiş
24
52
User
Arad
24
53
Tina
Arad
24
54
User
Vâlcea
24
55
Andreea
Cluj
23
56
User
Bucureşti
23
57
User
Maramureş
23
58
User
Arad
23
59
User
Bihor
23
60
User
Vrancea
23
61
User
Cluj
22
62
User
Bucureşti
22
63
Luca Fanut
Prahova
21
64
User
Bucureşti
21
65
User
Bucureşti
20
66
User
Bucureşti
20
67
User
Iaşi
20
68
User
Maramureş
20
69
User
Neamţ
20
70
Akos
Region
20
71
User
Cluj
20
72
User
Bucureşti
19
73
User
Bucureşti
19
74
User
Suceava
19
75
User
Cluj
19
76
User
Bucureşti
19
77
User
Mureş
18
78
User
Arad
18
79
User
Bucureşti
18
80
User
Bucureşti
18
81
User
Bucureşti
18
82
User
Dâmboviţa
18
83
User
Arad
17
84
User
Suceava
17
85
User
Cluj
17
86
User
Bucureşti
17
87
User
Teleorman
17
88
User
Hunedoara
17
89
User
Neamţ
17
90
User
Cluj
17
91
User
Botoşani
17
92
User
Cluj
17
93
User
Bucureşti
16
94
User
Covasna
16
95
User
Bucureşti
16
96
User
Bucureşti
16
97
Alina
Bucureşti
16
98
User
Bucureşti
16
99
User
Bucureşti
16
100
User
Bucureşti
16
101
User
Bucureşti
16
102
User
Prahova
16
103
User
Cluj
16
104
User
Cluj
15
105
User
Bucureşti
15
106
User
Cluj
15
107
User
Cluj
15
108
User
Neamţ
15
109
User
Neamţ
15
110
User
Bucureşti
15
111
User
Galaţi
15
112
User
Arad
15
113
User
Cluj
14
114
Sara
Arad
14
115
User
Arad
14
116
User
Bucureşti
14
117
User
Bucureşti
14
118
User
Braşov
14
119
User
Bucureşti
14
120
User
Timiş
14
121
User
Dâmboviţa
14
122
Horea Stefan
Mureş
14
123
User
Cluj
13
124
User
Cluj
13
125
User
Cluj
13
126
User
Iaşi
13
127
User
Timiş
13
128
User
Bucureşti
13
129
User
Bucureşti
13
130
User
Bucureşti
13
131
User
Bucureşti
13
132
User
Cluj
13
133
User
Constanţa
12
134
User
Arad
12
135
User
Bucureşti
12
136
User
Bucureşti
12
137
User
Arad
12
138
User
Bucureşti
12
139
User
Harghita
12
140
User
Bucureşti
12
141
User
Timiş
12
142
User
Cluj
12
143
Ervin Calin Ilies
Bucureşti
12
144
LyonSsS L
Bucureşti
12
145
User
Bucureşti
12
146
User
Bucureşti
12
147
User
Bucureşti
11
148
User
Braşov
11
149
User
Bucureşti
11
150
Zacky LPYi
Sibiu
11
151
User
Bucureşti
11
152
User
Cluj
11
153
MrAlexozo
Bucureşti
11
154
Tudor Oprescu
Bucureşti
11
155
Zsolt Tasnadi
Bucureşti
11
156
User
Neamţ
11
157
User
Bucureşti
11
158
User
Constanţa
10
159
User
Bucureşti
10
160
User
Bucureşti
10
161
User
Bucureşti
10
162
User
Bacău
10
163
User
Timiş
10
164
User
Ialomiţa
10
165
User
Bucureşti
10
166
User
Bucureşti
10
167
User
Cluj
10
168
User
Bucureşti
10
169
User
Neamţ
10
170
User
Bucureşti
10
171
User
Cluj
10
172
User
Cluj
10
173
User
Braşov
10
174
User
Bucureşti
10
175
User
Cluj
10
176
User
Cluj
10
177
User
Cluj
9
178
Samantha Swan
Dolj
9
179
George Cristian Pruteanu
Bucureşti
9
180
unforgivably gay
Harghita
9
181
User
Bucureşti
9
182
User
Cluj
9
183
User
Bucureşti
9
184
User
Constanţa
9
185
User
Timiş
9
186
User
Teleorman
9
187
User
Bacău
9
188
Daniel Georgescu
Sibiu
9
189
User
Dolj
9
190
User
Bihor
9
191
User
Bucureşti
9
192
User
Sălaj
9
193
User
Arad
9
194
User
Olt
9
195
User
Dolj
9
196
User
Galaţi
9
197
User
Cluj
9
198
User
Buzău
8
199
User
Bucureşti
8
200
User
Timiş
8
201
User
Bucureşti
8
202
User
Neamţ
8
203
User
Ilfov
8
204
User
Arad
8
205
User
Iaşi
8
206
User
Region
8
207
odv
Sibiu
8
208
User
Botoşani
8
209
User
Bacău
7
210
User
Cluj
7
211
Zaharia
Sibiu
7
212
User
Bihor
7
213
User
Bucureşti
7
214
Edina
Arad
7
215
User
Vâlcea
7
216
User
Bacău
7
217
Enes Production Gaming
Constanţa
7
218
User
Bucureşti
7
219
User
Braşov
7
220
User
Bucureşti
7
221
User
Bucureşti
7
222
User
Bucureşti
7
223
Puppy Wang
Bucureşti
7
224
User
Bucureşti
7
225
Andrei Muntean
Cluj
7
226
User
Cluj
7
227
User
Arad
6
228
User
Arad
6
229
User
Arad
6
230
User
Bucureşti
6
231
User
Bucureşti
6
232
User
Iaşi
6
233
User
Botoşani
6
234
User
Bucureşti
6
235
User
Bucureşti
6
236
User
Suceava
6
237
Nagy Imola
Cluj
6
238
User
Bucureşti
6
239
User
Bucureşti
6
240
User
Bucureşti
6
241
User
Bucureşti
6
242
User
Ilfov
6
243
User
Arad
6
244
User
Braşov
6
245
User
Iaşi
6
246
User
Bucureşti
6
247
User
Prahova
6
248
User
Prahova
6
249
User
Bucureşti
6
250
User
Bucureşti
6
251
User
Bucureşti
6
252
mihai Gameplays
Bucureşti
6
253
User
Arad
6
254
Andrea Molnar
Cluj
5
255
User
Bucureşti
5
256
User
Bucureşti
5
257
User
Bucureşti
5
258
User
Cluj
5
259
User
Bucureşti
5
260
User
Bucureşti
5
261
User
Iaşi
5
262
User
Cluj
5
263
User
Suceava
5
264
User
Arad
5
265
User
Bucureşti
5
266
User
Mureş
5
267
raptorus1984
Cluj
5
268
User
Covasna
5
269
User
Bucureşti
5
270
User
Argeş
5
271
User
Bucureşti
5
272
User
Mureş
5
273
User
Iaşi
5
274
User
Bucureşti
5
275
User
Cluj
5
276
User
Timiş
5
277
User
Cluj
5
278
User
Alba
5
279
User
Bihor
5
280
User
Suceava
5
281
User
Iaşi
5
282
User
Bucureşti
5
283
User
Cluj
5
284
User
Iaşi
5
285
User
Cluj
4
286
User
Bucureşti
4
287
User
Iaşi
4
288
User
Cluj
4
289
User
Bucureşti
4
290
Eduard Zepciuc
Suceava
4
291
User
Bucureşti
4
292
User
Sălaj
4
293
User
Iaşi
4
294
User
Bucureşti
4
295
User
Timiş
4
296
User
Bucureşti
4
297
User
Cluj
4
298
User
Arad
4
299
User
Tulcea
4
300
User
Timiş
4
301
User
Bucureşti
4
302
User
Bucureşti
4
303
User
Bacău
4
304
User
Bucureşti
4
305
User
Bucureşti
3
306
User
Bucureşti
3
307
User
Cluj
3
308
User
Iaşi
3
309
User
Bucureşti
3
310
User
Prahova
3
311
Alex Hazi
Bihor
3
312
User
Mehedinţi
3
313
Frisan
Arad
3
314
User
Arad
3
315
User
Cluj
3
316
User
Timiş
3
317
User
Bucureşti
3
318
User
Timiş
3
319
User
Satu Mare
3
320
User
Bucureşti
3
321
User
Dolj
3
322
User
Bucureşti
3
323
User
Bucureşti
3
324
User
Bucureşti
3
325
OliNonstopGamer
Prahova
3
326
User
Timiş
3
327
User
Prahova
3
328
User
Timiş
3
329
User
Prahova
3
330
User
Cluj
3
331
User
Mureş
3
332
User
Iaşi
3
333
User
Bucureşti
3
334
User
Argeş
3
335
Zselyku
Bihor
3
336
User
Prahova
3
337
User
Buzău
3
338
User
Bucureşti
3
339
User
Cluj
3
340
User
Arad
3
341
User
Dolj
3
342
User
Sibiu
2
343
User
Mureş
2
344
User
Timiş
2
345
User
Bucureşti
2
346
User
Bucureşti
2
347
User
Bucureşti
2
348
User
Timiş
2
349
User
Bucureşti
2
350
User
Brăila
2
351
User
Timiş
2
352
User
Braşov
2
353
Frisan
Arad
2
354
User
Cluj
2
355
User
Cluj
2
356
User
Braşov
2
357
User
Cluj
2
358
User
Bucureşti
2
359
User
Bucureşti
2
360
User
Ilfov
2
361
User
Cluj
2
362
User
Bucureşti
2
363
Alex Dumitrascu
Bucureşti
2
364
User
Braşov
2
365
User
Cluj
2
366
User
Bucureşti
2
367
User
Bucureşti
2
368
User
Bucureşti
2
369
Alexa Mateias
Bucureşti
2
370
User
Bucureşti
2
371
User
Alba
2
372
User
Cluj
2
373
User
Prahova
2
374
User
Bucureşti
2
375
User
Bucureşti
2
376
User
Timiş
2
377
User
Timiş
2
378
User
Cluj
2
379
User
Cluj
2
380
User
Bucureşti
2
381
User
Arad
2
382
User
Botoşani
2
383
User
Timiş
2
384
User
Arad
1
385
User
Ilfov
1
386
User
Bucureşti
1
387
User
Timiş
1
388
User
Constanţa
1
389
User
Sălaj
1
390
User
Maramureş
1
391
User
Bucureşti
1
392
User
Bacău
1
393
User
Bucureşti
1
394
User
Iaşi
1
395
User
Bucureşti
1
396
User
Galaţi
1
397
User
Cluj
1
398
User
Bucureşti
1
399
Covaciu Claudia
Cluj
1
400
User
Bucureşti
1
401
User
Arad
1
402
User
Cluj
1
403
User
Harghita
1
404
User
Bucureşti
1
405
User
Bucureşti
1
406
User
Timiş
1
407
User
Cluj
1
408
User
Harghita
1
409
User
Bucureşti
1
410
User
Ilfov
1
411
User
Botoşani
1
412
User
Bucureşti
1
413
User
Prahova
1
414
User
Gorj
1
415
User
Bucureşti
1
416
User
Bucureşti
1
417
User
Iaşi
1
418
User
Bihor
1
419
User
Bucureşti
1
420
User
Bucureşti
1
421
User
Bucureşti
1
422
User
Bucureşti
1
423
User
Ilfov
1
424
User
Ilfov
1
425
User
Ilfov
1
426
User
Cluj
1
427
User
Ilfov
1
428
User
Bucureşti
1
429
User
Bucureşti
1
430
User
Constanţa
1
431
User
Prahova
1
432
User
Dolj
1
433
User
Arad
1
434
User
Bucureşti
1
435
User
Bucureşti
1
436
User
Arad
1
437
User
Bucureşti
1
438
User
Bucureşti
1
439
Dimitrie
Arad
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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