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Rank
Level
1
User
Ankara
93
2
User
İstanbul
86
3
User
İstanbul
84
4
User
İstanbul
84
5
User
İstanbul
80
6
kutas
İstanbul
79
7
Baquant
Kayseri
77
9
ipek
İstanbul
70
10
ozgur hamsici
İstanbul
69
11
feyyaz
İstanbul
67
12
ahmetyamankısacık
İstanbul
67
13
Erdi Gultekin
İstanbul
66
14
User
İstanbul
63
15
User
İstanbul
61
16
User
İstanbul
60
17
Mesut Muslu
İstanbul
56
18
User
İstanbul
55
19
User
İstanbul
55
20
User
İzmir
54
21
taha inan
İstanbul
54
22
User
İstanbul
51
23
ALPSENCER
Ankara
51
24
tolln tolln
İstanbul
49
25
AKELEMON
Ankara
49
26
Yigitomer
İstanbul
49
27
Kadir B
İstanbul
48
28
User
İstanbul
48
29
asiya
İstanbul
45
30
Elif Bayındır
İstanbul
44
31
User
İstanbul
43
32
User
Edirne
43
33
User
Ankara
43
34
Seha Alpsoy
İstanbul
43
35
User
İstanbul
43
36
Eva O
İzmir
43
37
User
İzmir
42
38
User
Aydın
42
39
User
İstanbul
42
40
User
İzmir
42
41
Mehmet Çiçek
Ankara
40
42
Emir Gürergil
İstanbul
39
43
User
Ankara
39
44
User
İstanbul
39
45
User
İstanbul
37
46
User
İstanbul
36
47
User
İzmir
36
48
User
Ankara
36
49
User
İstanbul
35
50
User
Ankara
35
51
User
İstanbul
34
52
User
İstanbul
34
53
User
İstanbul
34
54
User
İstanbul
34
55
User
Ankara
33
56
User
İstanbul
33
57
User
İstanbul
33
58
Yusuf
Ankara
33
59
Pervez Naseer
İstanbul
32
60
User
İstanbul
32
61
cadet goose
İstanbul
32
62
User
İzmir
32
63
Küpçü Bey
İstanbul
32
64
Ahmet Soyyiğit
İstanbul
31
65
User
İstanbul
31
66
User
Eskişehir
31
67
User
İstanbul
30
68
User
İstanbul
30
69
User
Bursa
30
70
User
İzmir
30
71
User
İstanbul
29
72
User
İstanbul
29
73
User
İzmir
29
74
User
İstanbul
28
75
User
Sakarya
28
76
User
İstanbul
28
77
User
Bursa
28
78
User
İstanbul
28
79
User
Ankara
28
80
User
Ankara
27
81
User
İstanbul
27
82
User
İstanbul
27
83
User
Mersin
26
84
First Last
İstanbul
26
85
User
Aydın
26
86
User
Ankara
26
87
User
İstanbul
26
88
User
Mersin
25
89
User
Erzurum
25
90
User
İstanbul
24
91
User
İstanbul
24
92
User
İstanbul
24
93
User
İstanbul
24
94
User
İstanbul
23
95
User
İstanbul
23
96
User
Ankara
23
97
User
Çorum
23
98
User
İstanbul
22
99
Kutluhan Çağlar
Ankara
22
100
User
İstanbul
21
101
User
Gaziantep
21
102
Deniz ARI
İstanbul
21
103
User
Ankara
21
104
User
İstanbul
21
105
User
İstanbul
21
106
User
Kayseri
21
107
User
İstanbul
20
108
User
İstanbul
20
109
Mehmet
Konya
20
110
User
İzmir
20
111
User
Ankara
20
112
User
İstanbul
20
113
Barış BATI
İstanbul
20
114
User
İstanbul
19
115
User
Ankara
19
116
User
Ankara
19
117
User
İstanbul
19
118
User
İstanbul
19
119
User
İstanbul
18
120
User
İstanbul
17
121
User
Ankara
17
122
User
Kayseri
17
123
Ilk
İstanbul
17
124
User
İstanbul
17
125
User
İstanbul
17
126
User
Bursa
17
127
User
Kayseri
17
128
User
İstanbul
17
130
User
İzmir
16
131
User
İzmir
16
132
User
İstanbul
16
133
User
İstanbul
16
134
User
İstanbul
16
135
User
Bursa
16
136
Gizem Demirkan
İstanbul
16
137
User
İstanbul
16
138
Muhammed Şahin
İstanbul
16
139
User
İstanbul
16
140
User
Sakarya
15
141
User
Ankara
15
142
User
İstanbul
15
143
User
İstanbul
15
144
User
İstanbul
15
145
User
İstanbul
15
146
User
İstanbul
15
147
User
Ankara
15
148
User
Kayseri
15
149
User
Ankara
14
150
User
İstanbul
14
151
User
İstanbul
14
152
User
İstanbul
14
153
User
İstanbul
14
154
User
Ankara
14
155
User
İstanbul
14
156
User
İzmir
14
157
User
İstanbul
14
158
User
İzmir
14
159
User
Ankara
13
160
User
Kayseri
13
161
User
Ankara
13
162
User
İzmir
13
163
User
İstanbul
13
164
User
Ankara
13
165
User
İstanbul
13
166
User
İstanbul
13
167
User
Trabzon
13
168
User
İstanbul
13
169
Nurcan Bayindir
İstanbul
12
170
User
Ankara
12
171
User
İstanbul
12
172
User
İstanbul
12
173
User
Ankara
12
174
User
İstanbul
12
175
User
Kocaeli
12
176
User
İstanbul
12
177
User
İstanbul
11
178
User
İstanbul
11
179
User
Konya
11
180
User
Adana
11
181
User
Bolu
10
182
User
İstanbul
10
183
User
İstanbul
10
184
User
Ankara
10
185
User
Manisa
10
186
User
Sakarya
10
187
User
İzmir
10
188
User
İstanbul
9
189
User
İstanbul
9
190
User
Bursa
9
191
User
İstanbul
9
192
User
İstanbul
9
193
User
Samsun
8
194
User
İstanbul
8
195
User
İstanbul
8
196
User
İstanbul
8
197
esspe
İstanbul
8
198
User
İstanbul
8
199
User
Ankara
8
200
User
Ankara
7
201
User
İstanbul
7
202
User
Ankara
7
203
User
İstanbul
7
204
User
İzmir
7
205
User
İstanbul
7
206
User
Ankara
7
207
User
İstanbul
7
208
User
İstanbul
6
209
User
İstanbul
6
210
User
İzmir
6
211
MEHMET VECDİ GÖNÜL
İzmir
6
212
User
İstanbul
6
213
User
İstanbul
6
214
User
Elazığ
6
215
User
Bursa
6
216
User
İzmir
6
217
User
İstanbul
6
218
User
Region
5
219
User
Konya
5
220
User
Denizli
5
221
User
İstanbul
5
222
User
Düzce
5
223
User
İstanbul
5
224
imad musa
İstanbul
5
225
User
İstanbul
5
226
User
İstanbul
4
227
User
İstanbul
4
228
User
İstanbul
4
229
High Tower
İstanbul
4
230
HEROGLU
Kastamonu
4
231
User
İzmir
4
232
User
İstanbul
4
233
User
Antalya
4
234
User
İstanbul
4
235
User
İstanbul
4
236
User
Ankara
4
237
User
İstanbul
3
238
User
İstanbul
3
239
User
İstanbul
3
240
User
İstanbul
3
241
User
Kocaeli
3
242
User
Diyarbakır
3
243
User
Ankara
3
244
User
İstanbul
3
245
User
İstanbul
3
246
User
İstanbul
3
247
User
İzmir
3
248
User
İstanbul
3
249
User
İstanbul
3
250
User
İstanbul
3
251
User
Denizli
3
252
User
Ankara
3
253
User
Konya
3
254
User
İstanbul
3
255
User
İstanbul
3
256
User
Ankara
3
257
User
Antalya
3
258
User
Isparta
3
259
User
Nevşehir
2
260
User
Ankara
2
261
User
İstanbul
2
262
User
Ankara
2
263
User
Adıyaman
2
264
User
Konya
2
265
User
Kocaeli
2
266
User
İstanbul
2
267
User
İstanbul
2
268
User
İstanbul
2
269
User
İzmir
2
270
User
Antalya
2
271
User
Balıkesir
2
272
User
Ankara
2
273
User
Düzce
2
274
User
Ankara
2
275
Gizem Özyurt
İstanbul
2
276
User
Antalya
2
277
User
Sakarya
2
278
User
İstanbul
2
279
User
İstanbul
1
280
User
Kocaeli
1
281
User
İstanbul
1
282
User
Muğla
1
283
User
Antalya
1
284
User
İstanbul
1
285
User
İzmir
1
286
User
İstanbul
1
287
User
Diyarbakır
1
288
User
İstanbul
1
289
User
Ankara
1
290
User
İstanbul
1
291
User
İstanbul
1
292
User
İstanbul
1
293
User
İstanbul
1
294
User
İstanbul
1
295
xdacer
İstanbul
1
296
Greenwich
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 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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