Leaderboard
Indiana
Rank
Level
1
Samuel Ogunsanya
Avon
87
2
User
Indianapolis
70
3
David Keen
Greenfield
69
4
CanterBerryBoi69
Zionsville
66
5
Jayhawk
Carmel
65
6
User
Hicksville
64
7
User
Hicksville
56
8
User
Granger
56
9
Oleg Aprelikov
West Lafayette
56
10
Joseph Yu
West Lafayette
55
11
User
Munster
52
12
User
Granger
51
13
User
Zionsville
50
14
User
Zionsville
48
15
User
Terre Haute
47
16
User
Hicksville
41
17
User
City
40
18
User
West Lafayette
40
19
User
Bloomington
40
20
User
Lebanon
40
21
Buckeye fan
Carmel
39
22
User
Indianapolis
38
23
amelia flowers
Munster
36
24
User
Connersville
36
25
User
Hicksville
35
26
User
West Lafayette
32
27
User
Winamac
31
28
Chloe McGuire
West Lafayette
30
29
User
Brownsburg
30
30
User
West Lafayette
28
31
Joshin Kumar
West Lafayette
27
32
User
North Manchester
26
33
User
Hicksville
24
34
User
Indianapolis
22
35
User
West Lafayette
22
36
User
Carmel
22
37
Valerie Schultz
Fishers
22
38
User
West Lafayette
21
39
User
Noblesville
21
40
User
West Lafayette
21
41
User
Avon
20
42
User
Granger
20
43
User
Granger
20
44
Will Hippe
Muncie
20
45
cherrsig
Indianapolis
20
46
User
Terre Haute
19
47
Barrett Schrock
Lebanon
19
48
User
City
18
49
Nathan O'Connor
Indianapolis
18
50
User
North Manchester
18
51
User
Indianapolis
18
52
User
North Manchester
17
53
User
North Manchester
17
54
Rayan Nasser
Bloomington
17
55
User
North Manchester
17
56
User
Newburgh
17
57
User
Bloomington
16
58
User
Hicksville
16
59
Evan Price
Zionsville
16
60
User
Notre Dame
16
61
User
Fort Wayne
16
62
User
Fort Wayne
15
63
User
Bloomington
14
64
User
South Bend
14
65
User
Bloomington
14
66
User
West Lafayette
14
67
User
Indianapolis
14
68
User
West Lafayette
14
69
User
Indianapolis
14
70
User
Seymour
14
71
User
Bloomington
14
72
User
Indianapolis
14
73
User
West Lafayette
14
74
User
Noblesville
13
75
User
North Manchester
13
76
User
Bloomington
13
77
User
Carmel
13
78
User
West Lafayette
13
79
User
Bloomington
13
80
Kevin Lu
Bloomington
13
81
User
West Lafayette
13
82
User
North Manchester
13
83
B
Bloomington
13
84
User
Bloomington
13
85
Nicholi
Westfield
13
86
User
Indianapolis
13
87
User
Goshen
13
88
User
Merrillville
13
89
User
West Lafayette
12
90
Allen Sayger
Bunker Hill
12
91
User
Carmel
12
92
User
Crown Point
12
93
User
West Lafayette
12
94
User
Indianapolis
12
95
User
Terre Haute
12
96
User
Evansville
12
97
User
Rushville
11
98
User
Franklin
11
99
Maria
Munster
11
100
User
La Porte
11
101
User
West Lafayette
11
102
User
North Manchester
11
103
User
Indianapolis
11
104
User
La Porte
11
105
Joe Wata
La Porte
11
106
User
Hicksville
11
107
User
Bloomington
11
108
User
West Lafayette
11
109
User
Notre Dame
10
110
User
Indianapolis
10
111
User
Indianapolis
10
112
User
Brownsburg
10
113
Joshua Schrock
Lebanon
10
114
User
Indianapolis
10
115
User
West Lafayette
10
116
User
Columbus
10
117
User
North Manchester
10
118
User
Valparaiso
10
119
User
Indianapolis
9
120
User
Fairland
9
121
PPAL
Zionsville
9
122
User
West Lafayette
9
123
User
North Manchester
9
124
User
Bloomington
9
125
User
Carmel
9
126
User
Bloomington
9
127
User
Mccordsville
9
128
User
North Manchester
9
129
User
Carmel
9
130
User
Notre Dame
9
131
User
North Manchester
9
132
User
Notre Dame
9
133
Jaycie
Indianapolis
8
134
User
Greenwood
8
135
User
North Manchester
8
136
User
Franklin
8
137
User
Lebanon
8
138
User
City
8
139
User
Brazil
8
140
User
Fishers
8
141
User
West Lafayette
8
142
User
West Lafayette
8
143
User
Greenwood
8
144
User
North Manchester
8
145
User
North Manchester
8
146
User
Fort Wayne
8
147
User
Lebanon
7
148
User
Franklin
7
149
User
Bloomington
7
150
User
Greenfield
7
151
User
North Manchester
7
152
User
Franklin
7
153
User
Bloomington
7
154
User
Granger
7
155
User
Lawrence
7
156
Calvin
Bloomington
7
157
User
Hicksville
7
158
User
Indianapolis
7
159
User
North Manchester
7
160
User
Paoli
7
161
User
Notre Dame
7
162
User
Bloomington
6
163
User
Carmel
6
164
User
Terre Haute
6
165
User
North Manchester
6
166
User
West Lafayette
6
167
User
North Manchester
6
168
User
Muncie
6
169
User
Notre Dame
6
170
User
Indianapolis
6
171
Dan Gustafson
Indianapolis
6
172
User
Sheridan
6
173
User
Brazil
6
174
User
North Manchester
6
175
User
Carmel
6
176
User
Fishers
6
177
User
Brazil
6
178
User
North Manchester
6
179
User
North Manchester
6
180
User
Granger
6
181
User
Indianapolis
6
182
User
Marion
6
183
User
North Manchester
6
184
User
North Manchester
6
185
User
Lebanon
6
186
User
Indianapolis
6
187
User
Middlebury
6
188
User
Granger
6
189
User
North Manchester
5
190
User
Schererville
5
191
User
Valparaiso
5
192
User
North Manchester
5
193
User
Bloomington
5
194
User
Bloomington
5
195
User
Bloomington
5
196
User
City
5
197
User
Lebanon
5
198
User
North Manchester
5
199
User
Hammond
5
200
User
West Lafayette
5
201
User
Bristol
5
202
User
Bloomington
5
203
User
West Lafayette
5
204
User
Bloomington
5
205
User
Indianapolis
5
206
User
Fort Wayne
5
207
User
Greenwood
5
208
User
Shelbyville
5
209
User
South Bend
5
210
User
Terre Haute
5
211
User
Indianapolis
5
212
User
Advance
5
213
User
Indianapolis
5
214
User
North Manchester
5
215
User
North Manchester
5
216
User
North Manchester
5
217
User
New Albany
5
218
User
Westfield
5
219
User
Indianapolis
4
220
User
Indianapolis
4
221
User
Bloomington
4
222
User
North Manchester
4
223
User
Shelbyville
4
224
User
Jeffersonville
4
225
User
Hammond
4
226
User
North Manchester
4
227
User
Lafayette
4
228
User
Fishers
4
229
User
South Bend
4
230
User
City
4
231
User
Indianapolis
4
232
User
West Lafayette
4
233
User
Greenwood
4
234
User
South Bend
4
235
User
Bloomington
4
236
User
Carmel
4
237
User
West Lafayette
4
238
User
North Manchester
4
239
User
North Manchester
4
240
User
Crown Point
4
241
User
Sellersburg
4
242
User
North Manchester
4
243
User
Warsaw
4
244
User
Bloomington
4
245
User
Chandler
4
246
User
Bloomington
4
247
Anna Schrock
Lebanon
4
248
User
Shelbyville
4
249
User
North Manchester
4
250
User
Valparaiso
3
251
User
Evansville
3
252
User
North Manchester
3
253
User
West Lafayette
3
254
User
Shelbyville
3
255
User
Plymouth
3
256
User
North Manchester
3
257
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South Bend
3
258
User
North Manchester
3
259
User
West Lafayette
3
260
User
North Manchester
3
261
User
North Manchester
3
262
User
North Manchester
3
263
User
North Manchester
3
264
User
Notre Dame
3
265
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North Manchester
3
266
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North Manchester
3
267
User
North Manchester
3
268
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North Manchester
3
269
User
Ferdinand
3
270
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Crown Point
3
271
User
Lakes Of The Four Seasons
3
272
User
Hebron
3
273
User
Goshen
3
274
User
Columbus
3
275
User
South Bend
2
276
User
Indianapolis
2
277
User
North Manchester
2
278
User
North Manchester
2
279
User
North Manchester
2
280
User
Elkhart
2
281
User
North Manchester
2
282
User
North Manchester
2
283
User
North Manchester
2
284
User
Goshen
2
285
User
Plymouth
2
286
User
Highland
2
287
Alec Burtner-Abt
Indianapolis
2
288
User
Indianapolis
2
289
User
North Manchester
2
290
User
North Manchester
2
291
User
Indianapolis
2
292
User
Indianapolis
2
293
Nunya Buisness
Newburgh
2
294
User
West Lafayette
2
295
User
Indianapolis
2
296
User
North Manchester
2
297
User
Lebanon
2
298
User
North Manchester
2
299
User
North Manchester
2
300
User
North Manchester
2
301
User
North Manchester
2
302
User
North Manchester
2
303
User
Evansville
2
304
User
Poseyville
2
305
User
Bloomington
2
306
User
Mishawaka
2
307
User
North Manchester
2
308
User
West Lafayette
2
309
User
North Manchester
2
310
User
Indianapolis
2
311
Z. H.
Evansville
2
312
User
Carmel
2
313
User
Highland
2
314
User
North Manchester
2
315
User
North Manchester
2
316
User
North Manchester
2
317
User
North Manchester
2
318
User
North Manchester
2
319
User
Indianapolis
2
320
User
Madison
2
321
User
North Manchester
2
322
User
North Manchester
2
323
User
North Manchester
2
324
User
Indianapolis
2
325
User
Owensburg
2
326
Yasmin Owens
North Manchester
2
327
User
Carmel
2
328
User
North Manchester
2
329
User
Indianapolis
2
330
User
Culver
2
331
User
Washington
2
332
User
Lebanon
2
333
User
North Manchester
2
334
User
North Manchester
1
335
User
West Lafayette
1
336
User
Westfield
1
337
User
Zionsville
1
338
User
North Manchester
1
339
User
Hicksville
1
340
User
North Manchester
1
341
User
West Lafayette
1
342
User
Brownsburg
1
343
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Carmel
1
344
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West Lafayette
1
345
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Lafayette
1
346
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Fort Wayne
1
347
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Bloomington
1
348
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Fishers
1
349
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West Lafayette
1
350
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1
351
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North Manchester
1
352
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North Manchester
1
353
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North Manchester
1
354
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Muncie
1
355
User
Columbus
1
356
User
North Manchester
1
357
User
North Manchester
1
358
gabriel
Avon
1
359
User
Indianapolis
1
360
User
North Manchester
1
361
User
North Manchester
1
362
User
North Manchester
1
363
User
North Manchester
1
364
User
North Manchester
1
365
User
North Manchester
1
366
User
North Manchester
1
367
User
North Manchester
1
368
User
West Lafayette
1
369
User
Indianapolis
1
370
User
Indianapolis
1
371
User
Winchester
1
372
User
Elkhart
1
373
Stephanie Garcia
Schererville
1
374
User
Fishers
1
375
User
Notre Dame
1
376
User
Lebanon
1
377
User
Bloomington
1
378
User
North Manchester
1
379
User
Muncie
1
380
User
North Manchester
1
381
User
North Manchester
1
382
User
Indianapolis
1
383
User
North Manchester
1
384
User
North Manchester
1
385
User
North Manchester
1
386
User
North Manchester
1
387
User
North Manchester
1
388
User
Charlestown
1
389
User
North Manchester
1
390
User
East Chicago
1
391
User
West Lafayette
1
392
User
Fort Wayne
1
393
User
Bloomington
1
394
User
Munster
1
395
User
North Manchester
1
396
User
North Manchester
1
397
User
Hammond
1
398
User
Fairbanks
1
399
User
Marion
1
400
User
North Manchester
1
401
Audra
Franklin
1
402
User
North Manchester
1
403
User
Fort Wayne
1
404
User
North Manchester
1
405
User
North Manchester
1
406
User
Crawfordsville
1
407
User
North Manchester
1
408
User
North Manchester
1
409
User
North Manchester
1
410
User
North Manchester
1
411
User
Fishers
1
412
User
Noblesville
1
413
User
North Manchester
1
414
User
North Manchester
1
415
User
Fishers
1
416
User
North Manchester
1
417
User
Avon
1
418
User
North Manchester
1
419
User
North Manchester
1
420
User
North Manchester
1
421
User
North Manchester
1
422
User
North Manchester
1
423
User
North Manchester
1
424
User
Indianapolis
1
425
User
Fort Wayne
1
426
User
Indianapolis
1
427
User
Indianapolis
1
428
User
Richmond
1
429
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Indianapolis
1
430
User
Indianapolis
1
431
User
North Manchester
1
432
User
North Manchester
1
433
User
Indianapolis
1
434
User
North Manchester
1
435
User
Plymouth
1
436
User
Greenfield
1
437
User
North Manchester
1
438
User
North Manchester
1
439
User
Kokomo
1
440
User
North Manchester
1
441
User
North Manchester
1
442
User
North Manchester
1
443
User
North Manchester
1
444
User
North Manchester
1
445
User
North Manchester
1
446
User
North Manchester
1
447
User
North Manchester
1
448
User
North Manchester
1
449
User
North Manchester
1
450
User
North Manchester
1
451
User
Crown Point
1
452
User
Lebanon
1
453
User
Hammond
1
454
User
North Manchester
1
455
User
East Chicago
1
456
User
Greenwood
1
457
Alyssa Dunn
Indianapolis
1
458
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Carmel
1
459
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North Manchester
1
460
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North Manchester
1
461
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Indianapolis
1
462
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Union City
1
463
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North Manchester
1
464
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North Manchester
1
465
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North Manchester
1
466
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North Manchester
1
467
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North Manchester
1
468
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North Manchester
1
469
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North Manchester
1
470
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North Manchester
1
471
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North Manchester
1
472
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North Manchester
1
473
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North Manchester
1
474
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North Manchester
1
475
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North Manchester
1
476
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North Manchester
1
477
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West Lafayette
1
478
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Columbus
1
479
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North Manchester
1
480
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North Manchester
1
481
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North Manchester
1
482
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North Manchester
1
483
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North Manchester
1
484
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North Manchester
1
485
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North Manchester
1
486
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North Manchester
1
487
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North Manchester
1
488
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North Manchester
1
489
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North Manchester
1
490
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Moores Hill
1
491
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North Manchester
1
492
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North Manchester
1
493
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North Manchester
1
494
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North Manchester
1
495
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Notre Dame
1
496
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North Manchester
1
497
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North Manchester
1
498
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North Manchester
1
499
User
Indianapolis
1
500
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Bloomington
1
501
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Crown Point
1
502
User
Indianapolis
1
503
User
Saint John
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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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