Leaderboard
Connecticut
Rank
Level
1
K H
Hartford
85
2
Daregs
Westport
82
3
D G
West Haven
80
4
clide
Stamford
78
5
Bernd Pfrommer
Darien
76
6
User
Westport
69
7
Satyrykal
Redding
66
8
Jim Smith5614
Stamford
65
9
bobopop
Farmington
62
10
User
New Haven
62
11
Lukas Baker
Suffield
60
12
User
New Haven
50
13
User
Norwalk
49
14
Collin Crader
Avon
47
15
Amanda Chang
Cheshire
47
16
User
Guilford
47
17
User
Hartford
44
18
Ian MacDonald
Cheshire
44
19
John Ordway
Westport
44
20
Alla Shved
West Hartford
43
21
Liam Ahern
New Haven
43
22
Nigel Wade
New Haven
42
23
User
Manchester
42
24
A RAJATABLA
Norwalk
41
25
User
New Haven
40
26
User
Stonington
36
27
User
Norwalk
34
28
User
Redding
34
29
User
Norwalk
33
30
Alex
Danbury
33
31
User
West Haven
33
32
User
Greenwich
28
33
User
Westport
27
34
User
Danbury
25
35
User
New Haven
24
36
User
Fairfield
24
37
User
Westport
24
38
User
Westport
24
39
User
Hartford
24
40
User
New Haven
23
41
User
New Haven
23
42
User
New Haven
23
43
User
Manchester
22
44
User
Danbury
22
45
User
Waterbury
21
46
User
Westport
21
47
Ryan Miklautsch
Greenwich
20
48
David
Greenwich
20
49
DG
West Haven
20
50
Kyle Bleakley
Trumbull
19
51
User
Vernon
19
52
User
Westport
19
53
bobopop
Farmington
19
54
Bobopop
Farmington
19
55
User
West Haven
19
56
User
Norwalk
18
57
User
Wallingford
18
58
User
New Haven
18
59
User
New Haven
17
60
User
Westport
17
61
User
New Haven
17
62
User
West Haven
16
63
User
Stamford
16
64
User
Greenwich
16
65
User
Woodbury
16
66
User
South Windsor
15
67
User
Greenwich
15
68
User
Colchester
15
69
User
Westport
15
70
User
New Britain
14
71
User
West Haven
14
72
User
Trumbull
14
73
Jill Studdard
West Haven
14
74
User
Watertown
14
75
User
Westport
13
76
User
Norwalk
13
77
User
Bristol
13
78
User
New Haven
13
79
User
Milford
13
80
User
New Haven
13
81
User
New Haven
12
82
User
Greenwich
12
83
User
Groton
12
84
User
Trumbull
12
85
User
Westport
12
86
User
New Haven
12
87
User
Danbury
12
88
Ethan Labagnara (Class of 2020)
Cheshire
12
89
TheBindingYoshi
Farmington
12
90
User
New Haven
11
91
User
New Haven
11
92
User
Darien
11
93
User
Trumbull
11
94
User
Danbury
11
95
User
West Hartford
11
96
User
Greenwich
11
97
Yingjie
New Haven
11
98
User
West Haven
11
99
User
New Haven
11
100
User
Trumbull
10
101
Ellie Nelson
Stamford
10
102
User
New Britain
10
103
Danielle Payne
Wallingford
10
104
User
South Windsor
10
105
User
New Haven
10
106
User
Clinton
10
107
User
Farmington
10
108
User
New Haven
10
109
Soni Singh
Newtown
10
110
User
Darien
9
111
Becky
New Haven
9
112
User
New Haven
9
113
User
Westport
9
114
User
Hartford
9
115
User
New Britain
9
116
User
New Britain
9
117
User
New Haven
9
118
User
Stamford
9
119
User
Stamford
9
120
User
West Hartford
9
121
User
Meriden
9
122
User
West Haven
8
123
User
West Haven
8
124
User
Westport
8
125
User
West Haven
8
126
User
West Haven
8
127
User
West Haven
8
128
User
New Milford
8
129
User
Berlin
8
130
User
Westport
8
131
User
West Haven
8
132
User
Hartford
8
133
User
Watertown
8
134
User
Bristol
8
135
User
New Haven
8
136
User
Greenwich
8
137
User
Westport
8
138
User
Groton
7
139
User
Suffield
7
140
User
Washington
7
141
User
Hartford
7
142
User
Groton
7
143
User
New London
7
144
User
Trumbull
7
145
User
Westport
7
146
User
Trumbull
7
147
User
Trumbull
7
148
User
Redding
7
149
User
West Haven
7
150
User
Trumbull
7
151
User
Fairfield
7
152
User
Danbury
7
153
User
Milford
6
154
User
Danbury
6
155
Aidan Smith
New Milford
6
156
User
Hartford
6
157
User
West Haven
6
158
User
New Haven
6
159
User
Vernon
6
160
Josefina
New Haven
6
161
User
Wallingford
6
162
User
Hartford
6
163
User
New Milford
6
164
User
Westport
6
165
Sridhar Nadendla
Stamford
6
166
User
New Haven
6
167
User
West Haven
6
168
User
Stamford
6
169
Jeffrey Walker
West Haven
5
170
User
Manchester
5
171
User
New Haven
5
172
User
New Britain
5
173
User
West Haven
5
174
User
Norwalk
5
175
User
Clinton
5
176
User
Westport
5
177
User
Greenwich
5
178
User
Wilton
5
179
User
Wallingford
5
180
User
Stamford
5
181
User
Plainfield
5
182
User
New Milford
5
183
User
West Haven
5
184
User
Hartford
5
185
User
New Haven
5
186
User
New Haven
5
187
User
New Haven
5
188
User
New Haven
5
189
User
Orange
5
190
User
Bloomfield
5
191
User
Fairfield
4
192
User
Milford
4
193
User
New Haven
4
194
User
Seymour
4
195
User
Trumbull
4
196
User
New Haven
4
197
User
Meriden
4
198
User
Colchester
4
199
User
Darien
4
200
User
Newington
4
201
User
Newtown
4
202
User
West Hartford
4
203
Bobopop
Farmington
4
204
User
Greenwich
4
205
User
Bridgeport
4
206
User
Westport
4
207
User
New Milford
4
208
User
Stamford
4
209
User
West Haven
4
210
User
West Haven
4
211
User
New Haven
4
212
User
Trumbull
4
213
User
Manchester
4
214
User
Simsbury
4
215
Average Ape
New Milford
3
216
User
New Haven
3
217
User
Hartford
3
218
User
Bridgeport
3
219
User
Greenwich
3
220
Maria Stadler
Fairfield
3
221
User
Hartford
3
222
User
Watertown
3
223
User
Ledyard
3
224
Spencer
Stamford
3
225
User
Danbury
3
226
User
Norwalk
3
227
User
Stamford
3
228
User
Farmington
3
229
User
West Haven
3
230
Vandana Sood
Branford
3
231
User
Hartford
3
232
User
Westport
3
233
User
Stafford
3
234
User
Madison
3
235
User
South Windsor
3
236
User
Stamford
3
237
William Feinberg
Guilford
3
238
User
Stamford
3
239
User
Danbury
3
240
User
New Haven
3
241
User
Stratford
3
242
User
Vernon
3
243
User
Enfield
3
244
User
Enfield
3
245
User
New Haven
3
246
User
Greenwich
2
247
User
Woodstock
2
248
User
Stamford
2
249
User
Norwalk
2
250
User
West Haven
2
251
User
Norwich
2
252
User
New Haven
2
253
User
West Haven
2
254
User
Groton
2
255
User
Stamford
2
256
User
Rocky Hill
2
257
User
Meriden
2
258
User
New Milford
2
259
User
New Haven
2
260
User
Groton
2
261
User
New London
2
262
User
Stafford
2
263
User
East Haven
2
264
User
Wallingford
2
265
User
Bridgeport
2
266
User
Naugatuck
2
267
User
Wilton
2
268
User
Mansfield
2
269
User
Trumbull
2
270
User
Ansonia
2
271
User
New Haven
2
272
User
Avon
2
273
User
West Haven
2
274
User
West Haven
2
275
User
New Haven
2
276
User
Norwich
2
277
User
New Milford
2
278
User
New Milford
2
279
User
New Milford
2
280
User
Stamford
2
281
User
Durham
2
282
User
Fairfield
2
283
User
Wallingford
2
284
User
Windham
2
285
User
Suffield
2
286
User
Stamford
1
287
User
West Hartford
1
288
User
Plainville
1
289
User
East Lyme
1
290
User
Stamford
1
291
User
New Haven
1
292
Tom
New Haven
1
293
User
Darien
1
294
User
Marlborough
1
295
User
Trumbull
1
296
User
Trumbull
1
297
User
Avon
1
298
User
New Haven
1
299
User
Trumbull
1
300
User
New Haven
1
301
User
Stamford
1
302
User
Middletown
1
303
User
Greenwich
1
304
User
Mansfield
1
305
User
Mansfield
1
306
User
New Haven
1
307
User
New Haven
1
308
User
Danbury
1
309
User
Stamford
1
310
User
New Milford
1
311
User
Middletown
1
312
User
Farmington
1
313
User
Hamden
1
314
User
Danbury
1
315
User
East Hartford
1
316
User
West Haven
1
317
User
Middletown
1
318
User
Stamford
1
319
User
Bridgeport
1
320
User
West Haven
1
321
User
Mansfield
1
322
User
New Haven
1
323
User
Meriden
1
324
User
New Milford
1
325
User
Windsor
1
326
User
Southbury
1
327
User
Stamford
1
328
User
Greenwich
1
329
User
Hartford
1
330
User
Westport
1
331
User
New Haven
1
332
User
New Britain
1
333
User
New Haven
1
334
User
Trumbull
1
335
User
Middletown
1
336
User
Middletown
1
337
User
Monroe
1
338
User
Norwich
1
339
User
Westport
1
340
User
New Haven
1
341
User
New Milford
1
342
User
New Haven
1
343
User
East Hartford
1
344
User
Bridgeport
1
345
User
Torrington
1
346
User
New Milford
1
347
User
Stamford
1
348
User
New Britain
1
349
Chelsie
Watertown
1
350
User
Milford
1
351
User
Stratford
1
352
Hugh Seaton
Stamford
1
353
User
New Haven
1
354
User
Farmington
1
355
User
Greenwich
1
356
User
Milford
1
357
User
Trumbull
1
358
User
West Hartford
1
359
User
Stonington
1
360
User
Derby
1
361
User
Stonington
1
362
User
New Haven
1
363
User
Fairfield
1
364
User
New Haven
1
365
User
Stonington
1
366
User
New Haven
1
367
User
New Milford
1
368
User
Middletown
1
369
User
Stamford
1
370
User
Wethersfield
1
371
User
Stamford
1
372
User
Stamford
1
373
User
Hartford
1
374
User
New Haven
1
375
User
Sherman
1
376
User
Middletown
1
377
User
Middletown
1
378
User
New Canaan
1
379
User
Stamford
1
380
User
Brookfield
1
381
User
Darien
1
382
User
New Canaan
1
383
User
New Haven
1

Free

Free basic access

Login Optional

Progress saved automatically

Students

Works great in classrooms

25,000,000
Questions answered
100,000
Users
100
Difficulty levels

Cross-Platform

Use any operating system with Chrome, Safari, or Firefox

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.


Privacy Policy