Greater Middle East
Worldwide
Greater Middle East
Rank
Level
1
Musti
99
2
Noura
98
3
ipek
87
4
Mustafa Alelq
87
5
prankster gangster hamster damster curious furious delicious hit or miss trump is obama
85
6
bruhette
84
8
Ahmed Abdulaal
81
9
Maayan Shav Artza
79
10
Utku Ozan ÇANKAYA
79
11
mad jer
77
12
Almog
76
13
Angel Cheikh
76
15
Youssef Aly Elsawy
76
16
Anaik Gill
75
18
Jaafer AL-Muallim
74
19
Mansur Damiev
72
21
omer mor
72
22
batuhan yılmaz
71
23
Mohamad Ternanni
70
24
P Md
69
25
HosseinKhabiri
69
26
Ali YILDIZ
69
27
vasty
68
28
Mohamed Lashuel
68
29
Dogukan Alan
67
30
atunsay
67
31
66
33
coffee or vodka
66
37
Redji_Tissemsilt
64
39
mahdi rezvani
63
40
Tugberk Kocatekin
63
41
RolaMelbakly
62
42
ozge
62
43
issam baba
62
44
Sidrah kamran
62
46
ShadenM elbakly
61
48
bb bbb
60
49
Fahad
60
50
Mossa Alshakhouri
59
51
rahma safraoui
57
52
Baquant
57
53
Otmane AMEL
57
54
56
55
Hadeel Hamzah
56
56
56
57
Fatima Batool
56
58
Carbon Clan
55
59
gskuzu
55
60
manga
55
61
Gagoru Bhaiyya
54
62
shazia yasins zdvdgygf.cutjn
54
63
Fahad AlShammari
54
64
Alaa M. Kamal
54
65
Rana EB
53
68
Barış Tacirlioğlu
53
69
Al Yessa
52
70
52
72
Naserddin Ben Sufia
52
73
Deniz Güzin
51
74
Sam Sepiol
51
75
;)
51
77
דוד בליקוב
51
78
Marco Tzenios
51
79
Shaima
50
80
Batuhan Türkmen
50
81
Ashish Kar
50
84
Moo
50
85
49
86
Damla
49
91
Zulfiya Shakirova
49
92
Yazen bouterfif
49
93
Burak Ağdaş
49
94
Martin Diamond
49
95
48
96
Ali Saud
48
97
Haluk
48
99
ozy ata
48
100
48
101
48
104
CiciBebe
47
105
47
107
iamfasterthanall
47
108
lufer
47
109
47
110
mahmoud dahroug
47
111
r4iny_mood
47
112
47
113
Arqancı
47
114
Akasergen
47
115
47
117
abdullah
46
118
Yeonwoo Ryu
46
119
46
120
AminoAcids
46
121
Khawaja Ali Zubair
46
124
45
126
Malik Muhammad Kashif Saeed
45
127
ipek
45
128
45
129
45
131
Faizan Rabbani
45
132
45
134
3zALD
44
135
PANTHER GAMING
44
136
44
137
Dhawi Almajnouni
44
140
Pinch Harmonic
44
141
Hurshil kar
44
143
44
145
Cankan Günaydın
44
146
43
147
43
149
Alyeldeen Alyeldeen
43
150
boris lipovetzky
43
151
43
152
42
153
Shihan Al Farsi
42
154
Qasim Ali Shobber
42
155
Furkan⚡Berkay
42
156
asser khaled
42
157
Minwoo Kim
41
158
Sara El Hariri
41
159
41
160
41
161
Baris Y
41
162
40
163
40
164
40
166
Firuze In
40
167
Hassan ALI
40
168
rachida
40
169
40
171
SergeiPetrov
40
172
39
174
39
175
kutas
39
176
Yunwon Cho
39
177
Monts
38
178
38
180
Moh almahdood
38
181
Kirill Zlobin
38
182
feyyaz
38
183
38
184
38
185
عبدالعزيز الجريوي
38
187
Emre Kurtulan
38
188
Ocram
38
189
38
190
Bruno Bucciarati
37
191
37
192
37
194
37
196
36
197
36
198
Baquant
36
199
ahmetyamankısacık
36
200
Ozgur Hoca
36
202
36
203
Abbas Ayoub
36
204
Don Aubearn
36
206
35
207
35
208
35
209
35
210
35
212
Magic Tacos
35
213
35
215
35
217
34
218
Guilda Akbari
34
220
34
221
34
223
34
224
34
226
33
227
33
228
Rosie
33
230
Yash Manwani
33
231
Gokay Gunaydin
33
234
Ahmed Mandy
33
235
33
236
33
238
Ammad Ali
32
239
32
240
bezgin birinci
32
242
Thugs
32
243
Bezgin Bekir
32
244
32
246
32
247
32
249
omar taha
32
251
31
252
Water-Playz
31
253
Zaaid Ahmed
31
254
31
255
31
256
31
258
31
259
31
260
ChessManiacMustafa
31
261
31
262
DaCleverHorse
31
263
31
264
31
266
30
268
Aaqib
30
269
Rahaf k
30
271
ozgur hamsici
30
272
30
273
30
274
30
275
Shaked
30
277
Amane Abdel Samad
30
278
nahman PC
30
280
30
282
Romain Gérard
29
283
29
285
Hajira Zaman
29
286
m shabbir
29
287
29
289
29
290
29
291
29
292
28
293
28
294
28
295
Nikko Chia
28
296
28
297
28
299
Kadir B
28
300
Mesut Muslu
28
301
28
302
28
304
28
305
28
308
27
309
27
310
Lol wut
27
311
27
312
27
314
T1357T
27
316
27
318
Elowy Many
27
319
27
320
27
321
Omeed
27
322
Laasya Ganesh
27
324
27
325
27
326
27
328
Furkan Berkay
27
331
Amit Levy
26
333
Taklaking
26
335
26
336
HB
26
338
26
339
26
341
26
342
26
343
Anagha Mridulal
26
344
26
346
26
347
26
348
26
349
26
350
26
351
Multiply X
26
352
Elif Bayındır
26
353
26
355
Leena
26
358
25
360
25
361
25
362
Nikki Canceko
25
364
25
365
Abdulaziz
25
366
25
368
25
370
25
373
Nima
25
376
tolln tolln
25
377
أم غزة
25
379
24
380
Zeyad
24
383
24
384
24
385
afullmatch afullmatch
24
386
24
388
24
389
Matematikci Esma
24
390
24
391
24
395
24
396
Patrick Gerald Tamayosa
24
399
24
404
24
406
23
407
Khalil Khemiri
23
410
23
411
23
412
23
415
23
416
23
417
Harivansh
23
418
no definitions
23
420
Ali Abbas
23
421
23
422
Ali Melody Melody
23
423
Hilel Dresdener
23
424
23
426
23
427
Nadhira Samsudeen
23
428
23
429
23
430
23
432
23
434
22
435
22
436
22
437
Vijit Singh
22
439
22
440
22
441
22
443
22
444
22
445
22
446
22
447
Birinci bekir
22
448
Sima Jabri
22
451
22
453
22
454
22
455
سيد صلاح
22
456
M.Ahmad mushtaq
22
457
22
458
Fayrouz Basha
22
459
22
461
I love Pokemon
22
462
Irem
22
463
small fred
21
465
21
466
Aadarsh Mathew
21
467
21
471
21
472
21
473
21
474
21
475
21
476
21
479
21
482
Sultanbek Jumakulyyev
21
486
21
487
21
488
21
489
787890_
21
491
21
493
20
494
Rabab BOULAICH
20
496
20
497
Deeko
20
498
Michael Cherniak
20
499
Keita the hero
20

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Questions answered
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Difficulty levels

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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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