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Turkey
Worldwide
Rank
Level
1
batuhan yılmaz
Ankara
96
2
User
Trabzon
85
3
vasty
Ankara
73
4
bb bbb
Şanlıurfa
72
5
User
İstanbul
72
6
gskuzu
İstanbul
71
7
User
Ankara
68
8
Batuhan Türkmen
İstanbul
65
9
Damla
İstanbul
64
10
ozy ata
İstanbul
62
11
User
Samsun
61
12
lufer
İstanbul
61
13
User
Kırklareli
59
14
Cankan Günaydın
Ankara
58
15
kutas
İstanbul
55
16
User
İstanbul
55
17
ipek
İstanbul
54
18
User
Zonguldak
53
19
feyyaz
İstanbul
52
20
Baquant
Kayseri
52
21
User
İstanbul
52
22
ahmetyamankısacık
İstanbul
50
23
User
İstanbul
50
24
User
İstanbul
50
25
User
İstanbul
47
26
Ozgur Hoca
Bursa
47
27
User
İstanbul
47
28
Pinch Harmonic
İstanbul
47
29
User
İstanbul
46
30
User
Ankara
45
31
User
İstanbul
45
32
ozgur hamsici
İstanbul
44
33
Gokay Gunaydin
Kocaeli
44
34
User
Diyarbakır
43
35
User
İzmir
43
36
Bezgin Bekir
Bursa
42
37
bezgin birinci
Bursa
42
38
User
İstanbul
41
39
User
İstanbul
41
40
User
Antalya
40
41
Mesut Muslu
İstanbul
40
42
User
İstanbul
39
43
Kadir B
İstanbul
38
44
User
İstanbul
38
45
User
İstanbul
38
46
Furkan Berkay
Erzurum
36
47
Elif Bayındır
İstanbul
35
48
User
İstanbul
35
49
User
İstanbul
35
50
Taklaking
İstanbul
35
51
User
İstanbul
34
52
tolln tolln
İstanbul
34
53
User
Ankara
34
54
User
Ankara
33
55
User
Ankara
32
56
User
İstanbul
30
57
User
İzmir
30
58
Matematikci Esma
Çanakkale
29
59
User
Ankara
29
60
User
İzmir
29
61
Birinci bekir
İstanbul
29
62
User
İstanbul
29
63
asiya
İstanbul
29
64
User
Ankara
28
65
Emir Gürergil
İstanbul
28
66
User
İstanbul
27
67
User
Antalya
27
68
User
Samsun
26
69
User
İstanbul
26
70
User
Ankara
26
71
Lufer
İstanbul
26
72
User
İstanbul
25
73
AKELEMON
Ankara
25
74
User
Ankara
25
75
Firuze In
Ankara
25
76
Erdi Gultekin
İstanbul
25
77
User
Ankara
25
78
User
İstanbul
24
79
User
İstanbul
24
80
User
İzmir
24
81
Pervez Naseer
İstanbul
22
82
User
İstanbul
22
83
User
İstanbul
22
84
User
Sakarya
22
85
User
İstanbul
21
86
User
İstanbul
21
87
User
Edirne
21
88
User
İstanbul
21
89
User
İstanbul
21
90
User
İstanbul
21
91
Keri Arslancan
İstanbul
20
92
User
Ankara
20
93
User
İstanbul
20
94
User
İstanbul
20
95
User
İstanbul
20
96
User
İzmir
20
97
User
Ankara
20
98
User
Ankara
19
99
User
İstanbul
19
100
User
Bursa
19
101
User
Ankara
19
102
User
Aydın
19
103
Seha Alpsoy
İstanbul
19
104
User
İstanbul
19
105
User
İstanbul
19
106
User
İstanbul
19
107
User
İstanbul
19
108
User
İstanbul
18
109
User
İstanbul
18
110
User
İzmir
18
111
User
Mersin
18
112
User
İstanbul
18
113
cadet goose
İstanbul
18
114
First Last
İstanbul
18
115
User
İstanbul
17
116
User
İstanbul
17
117
User
İstanbul
17
118
User
İstanbul
17
119
User
Adana
16
120
User
İstanbul
16
121
User
İstanbul
16
122
User
İstanbul
16
123
User
İstanbul
16
124
User
İzmir
15
125
User
Ankara
15
126
User
Bursa
15
127
User
İstanbul
15
128
User
Gaziantep
15
129
User
İstanbul
15
130
User
Ankara
15
131
User
Ankara
15
132
User
İstanbul
14
133
User
İstanbul
14
134
User
İstanbul
14
135
User
İstanbul
14
136
User
İstanbul
14
137
User
Antalya
13
138
Deniz ARI
İstanbul
13
139
Mehmet Çiçek
Ankara
13
140
User
İstanbul
13
141
User
Ankara
13
142
User
Aydın
13
144
Ahmet Soyyiğit
İstanbul
13
145
User
Ankara
13
146
User
İstanbul
13
147
User
Ankara
12
148
User
İstanbul
12
149
User
Ankara
12
150
User
Sakarya
12
151
User
İstanbul
12
152
User
Ankara
12
153
User
Ankara
12
154
User
Ankara
12
155
User
İstanbul
12
156
User
Ankara
11
157
User
İstanbul
11
158
User
İstanbul
11
159
User
Zonguldak
11
160
User
Ankara
11
161
User
İstanbul
11
162
User
İzmir
11
163
User
İstanbul
11
164
User
İstanbul
11
165
User
Ankara
10
166
User
İstanbul
10
167
User
Ankara
10
168
User
İstanbul
10
169
User
İstanbul
10
170
Eva O
İzmir
10
171
Nurcan Bayindir
İstanbul
10
172
User
Ankara
10
173
User
İzmir
10
174
Küpçü Bey
İstanbul
10
175
Furkan⚡️Berkay
Erzurum
10
176
User
Ankara
10
177
User
İstanbul
10
178
User
Bursa
10
179
Mehmet
Konya
10
180
User
İstanbul
10
181
User
İzmir
10
182
User
Eskişehir
10
183
Yusuf
Ankara
10
184
User
Ankara
10
185
User
Ankara
10
186
User
İzmir
10
187
User
İstanbul
9
188
User
İstanbul
9
189
User
İstanbul
9
190
User
Ankara
9
191
User
İzmir
9
192
User
İzmir
9
193
User
İstanbul
9
194
Axelth Y
İstanbul
9
195
User
İstanbul
9
196
User
Ankara
9
197
User
Ankara
9
198
User
İstanbul
9
199
User
Kayseri
8
200
Ilk
İstanbul
8
201
User
İstanbul
8
202
User
İstanbul
8
203
Barış BATI
İstanbul
8
204
User
İstanbul
8
205
User
Ankara
8
206
User
İstanbul
8
207
User
Ankara
8
208
User
İstanbul
8
209
User
Bolu
8
210
User
İstanbul
8
211
User
İstanbul
8
212
User
İstanbul
8
213
User
İstanbul
8
214
User
Ankara
8
215
User
İstanbul
8
216
User
İstanbul
8
217
User
Ankara
8
218
User
Ankara
8
219
User
İstanbul
8
220
User
Ankara
8
221
User
Bursa
8
222
User
Denizli
7
223
User
Mersin
7
224
Gizem Demirkan
İstanbul
7
225
User
Ankara
7
226
User
Erzurum
7
227
User
İstanbul
7
228
User
İstanbul
7
229
User
İstanbul
7
230
User
Kayseri
7
231
User
İzmir
7
232
User
Ankara
7
233
User
İstanbul
7
234
User
Çorum
7
235
User
Ankara
7
236
User
Ankara
7
237
User
İstanbul
7
238
User
Samsun
6
239
User
Konya
6
240
Kutluhan Çağlar
Ankara
6
241
User
İstanbul
6
242
User
İstanbul
6
243
User
İstanbul
6
244
User
Ankara
6
245
User
Ankara
6
246
User
İstanbul
6
247
Furkan Berkay
Denizli
6
248
User
İstanbul
6
249
User
İstanbul
6
250
User
Bursa
6
251
Muhammed Şahin
İstanbul
6
252
User
İstanbul
6
253
User
İstanbul
6
254
User
Bursa
6
255
User
İstanbul
6
256
User
İstanbul
6
257
User
İzmir
5
258
User
İstanbul
5
259
User
Ankara
5
260
User
İstanbul
5
261
User
İstanbul
5
262
User
Ankara
5
263
User
İstanbul
5
264
User
İstanbul
5
265
User
Kocaeli
5
266
User
İstanbul
4
267
User
Antalya
4
268
User
İstanbul
4
269
User
Manisa
4
270
User
İzmir
4
271
User
İstanbul
4
272
User
İstanbul
4
273
esspe
İstanbul
4
274
User
Düzce
4
275
User
Region
4
276
User
Sakarya
4
277
User
Ankara
4
278
User
İstanbul
4
279
User
İstanbul
4
280
User
İstanbul
4
281
User
Konya
4
282
User
İzmir
4
283
User
Ankara
4
284
User
İstanbul
4
285
MEHMET VECDİ GÖNÜL
İzmir
4
286
User
Denizli
4
287
User
İstanbul
4
288
User
İstanbul
4
289
User
İstanbul
4
290
User
Ankara
4
291
User
İstanbul
3
292
User
İzmir
3
293
User
İstanbul
3
294
User
Ankara
3
295
User
İstanbul
3
296
User
Düzce
3
297
User
İstanbul
3
298
User
Ankara
3
299
User
İstanbul
3
300
User
Ankara
3
301
User
İstanbul
3
302
User
İstanbul
3
303
User
İstanbul
3
304
User
Elazığ
3
305
User
İstanbul
3
306
User
İstanbul
3
307
User
Antalya
3
308
User
Bursa
3
309
High Tower
İstanbul
3
310
User
İstanbul
3
311
User
Konya
2
312
User
İstanbul
2
313
User
İstanbul
2
314
User
İstanbul
2
315
User
İstanbul
2
316
User
İstanbul
2
317
User
Kocaeli
2
318
User
İstanbul
2
319
User
Diyarbakır
2
320
User
Ankara
2
321
imad musa
İstanbul
2
322
HEROGLU
Kastamonu
2
323
User
İstanbul
2
324
User
İstanbul
2
325
User
İzmir
2
326
User
İstanbul
2
327
User
İstanbul
2
328
Yigitomer
İstanbul
2
329
Kerim Dernek
Adana
2
330
User
İstanbul
2
331
User
Ankara
2
332
User
Ankara
2
333
User
İstanbul
2
334
User
İzmir
2
335
User
İstanbul
2
336
User
Nevşehir
2
337
Damla
İstanbul
2
338
User
Ankara
1
339
User
İzmir
1
340
User
İstanbul
1
341
User
İstanbul
1
342
User
Antalya
1
343
User
İstanbul
1
344
User
İstanbul
1
345
User
İstanbul
1
346
User
Ankara
1
347
User
Denizli
1
348
User
İstanbul
1
349
User
İzmir
1
350
User
Ankara
1
351
User
İstanbul
1
352
User
İstanbul
1
353
User
Adıyaman
1
354
User
İstanbul
1
355
User
Ankara
1
356
User
İstanbul
1
357
User
Konya
1
358
User
Konya
1
359
User
Kocaeli
1
360
User
Sakarya
1
361
User
İstanbul
1
362
User
Ankara
1
363
User
İstanbul
1
364
User
Ankara
1
365
User
İstanbul
1
366
User
İzmir
1
367
User
Antalya
1
368
User
Eskişehir
1
369
User
İstanbul
1
370
User
İstanbul
1
371
User
Balıkesir
1
372
User
İstanbul
1
373
User
İstanbul
1
374
User
Kocaeli
1
375
User
İstanbul
1
376
User
Ankara
1
377
User
Muğla
1
378
User
Antalya
1
379
User
İstanbul
1
380
User
İzmir
1
381
User
Düzce
1
382
User
Ankara
1
383
User
İstanbul
1
384
User
Diyarbakır
1
385
Gizem Özyurt
İstanbul
1
386
User
İstanbul
1
387
User
Ankara
1
388
User
İstanbul
1
389
User
Antalya
1
390
User
Sakarya
1
391
User
İstanbul
1
392
User
İstanbul
1
393
User
İstanbul
1
394
User
İstanbul
1
395
User
İstanbul
1
396
xdacer
İstanbul
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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