Leaderboard
Maryland
Rank
Level
1
Sawyer West
Saint Marys City
95
2
User
Saint Marys City
88
3
User
Saint Marys City
73
4
User
Greenbelt
62
5
User
Saint Marys City
61
6
Sheikh Selim
Baltimore
57
7
Akash Marakath
Columbia
56
8
Alexander Paskal
College Park
55
9
akansha sehgal
Baltimore
53
10
User
College Park
51
11
User
Severn
50
12
User
Saint Marys City
50
13
User
Baltimore
47
14
Micheal Erb
Gaithersburg
45
15
User
Baltimore
45
16
User
Elkridge
43
17
Matthew Lee
Gaithersburg
43
18
User
College Park
40
19
User
Annapolis
39
20
User
Baltimore
38
21
User
College Park
37
22
Raghavendra Murthi
Bethesda
37
23
User
Baltimore
35
24
User
Olney
34
25
Momma G
Cape Saint Claire
33
26
User
Columbia
33
27
User
Ellicott City
33
28
User
College Park
32
29
User
Fort Meade
32
30
User
Fort Washington
32
31
User
Gaithersburg
32
32
User
Ellicott City
31
33
User
Baltimore
31
34
User
Severn
31
35
User
Baltimore
31
36
User
Ellicott City
31
37
User
Ellicott City
30
38
User
Rockville
30
39
User
Baltimore
30
40
User
College Park
29
41
User
Hyattsville
28
42
User
Baltimore
28
43
User
College Park
28
44
Kaitlyn Sharo
Severn
28
45
User
Gaithersburg
27
46
User
College Park
27
47
User
Ocean Pines
26
48
User
Grantsville
26
49
User
Baltimore
26
50
User
Germantown
26
51
User
Baltimore
26
52
User
Baltimore
25
53
User
Potomac
25
54
User
Baltimore
25
55
TheGr8TJ
Takoma Park
24
56
User
Baltimore
24
57
User
Bethesda
24
58
User
Parole
23
59
User
Baltimore
23
60
User
College Park
23
61
User
Baltimore
23
62
User
College Park
22
63
User
Silver Spring
22
64
User
Bethesda
22
65
User
Baltimore
22
66
Rebecca Huynh
Owings Mills
22
67
User
Beltsville
22
68
User
Baltimore
22
69
User
Baltimore
21
70
User
Crofton
21
71
User
Bethesda
21
72
User
Montgomery Village
21
73
User
Taneytown
21
74
User
College Park
21
75
User
Potomac
20
76
User
Ellicott City
20
77
User
Takoma Park
20
78
User
Silver Spring
20
79
Hunter Rice
Annapolis
19
80
User
Reisterstown
19
81
TheGr8TJ
Takoma Park
19
82
User
Baltimore
19
83
User
Sykesville
19
84
User
Columbia
18
85
User
Baltimore
18
86
Taurian Gibson-Gardner
Takoma Park
18
87
User
Bethesda
18
88
sassy
Silver Spring
18
89
User
Takoma Park
18
90
User
Takoma Park
18
91
User
Bethesda
18
92
User
Gaithersburg
18
93
James Blaser
Saint Marys City
18
94
Berkeley Poulsen
College Park
18
95
User
Hyattsville
18
96
User
Severna Park
18
97
User
Rockville
18
98
User
Ellicott City
18
99
Safwan Sheikh
Baltimore
17
100
User
Olney
17
101
User
Bethesda
17
102
User
Silver Spring
16
103
User
Urbana
16
104
User
College Park
16
105
User
Owings Mills
16
106
User
Pikesville
15
107
Fernando Lopez Torres
Takoma Park
15
108
User
Takoma Park
15
109
User
Takoma Park
15
110
User
Takoma Park
15
111
User
Takoma Park
15
112
User
Catonsville
15
113
User
Towson
15
114
User
Baltimore
15
115
User
Germantown
15
116
User
Bethesda
15
117
User
Chester
15
118
User
Takoma Park
14
119
User
Takoma Park
14
120
User
Beltsville
14
121
User
Gaithersburg
14
122
User
Gaithersburg
14
123
User
Glen Burnie
14
124
User
Rockville
14
125
User
Ellicott City
14
126
User
Glenelg
13
127
User
College Park
13
128
Mauricio Apolinar Alberto
Takoma Park
13
129
User
Takoma Park
13
130
Syco
Takoma Park
13
131
User
College Park
13
132
User
Gaithersburg
13
133
User
Ellicott City
13
134
User
Bowleys Quarters
13
135
User
Potomac
13
136
User
Rockville
13
137
User
Columbia
12
138
User
Germantown
12
139
User
Takoma Park
12
140
User
Pasadena
12
141
User
Parkville
12
142
User
Rockville
12
143
User
Olney
12
144
User
East Riverdale
12
145
User
Catonsville
12
146
Benedict Wills
Annapolis
11
147
User
Takoma Park
11
148
Miriam Ortiz Gonzalez
Takoma Park
11
149
User
Catonsville
11
150
User
Wheaton-Glenmont
11
151
User
Columbia
11
152
User
Bethesda
11
153
User
College Park
11
154
User
Takoma Park
10
155
User
Takoma Park
10
156
User
Takoma Park
10
157
User
Baltimore
10
158
User
Hyattsville
10
159
User
Montgomery Village
10
160
User
Baltimore
10
161
Matheus Mendes
Catonsville
10
162
User
Rockville
10
163
User
Ashton-Sandy Spring
9
164
Dha
Owings Mills
9
165
User
Severn
9
166
User
Takoma Park
9
167
User
Baltimore
9
168
User
Takoma Park
9
169
User
Potomac
9
170
User
Bethesda
9
171
User
College Park
9
172
User
Gaithersburg
9
173
User
Lutherville-Timonium
9
174
User
Baltimore
9
175
User
Rockville
9
176
User
Columbia
8
177
User
Rockville
8
178
User
Takoma Park
8
179
User
Gaithersburg
8
180
User
Takoma Park
8
181
User
Takoma Park
8
182
User
Edgewood
8
183
User
Bethesda
8
184
Katie
Baltimore
8
185
kevers
Baltimore
8
186
User
Bethesda
8
187
User
Rockville
7
188
User
Bethesda
7
189
User
Fort Washington
7
190
User
Gaithersburg
7
191
User
Takoma Park
7
192
User
Takoma Park
7
193
User
Takoma Park
7
194
User
Takoma Park
7
195
User
Takoma Park
7
196
User
Takoma Park
7
197
User
Takoma Park
7
198
User
Gaithersburg
7
199
User
Parkton
7
200
User
North Bethesda
7
201
User
Towson
7
202
User
Owings Mills
7
203
User
Ellicott City
7
204
User
Towson
7
205
User
Reisterstown
7
206
User
College Park
7
207
User
Germantown
7
208
User
Columbia
7
209
User
Baltimore
6
210
Sierra Reid
Towson
6
211
User
Catonsville
6
212
User
Potomac
6
213
User
Arnold
6
214
User
Baltimore
6
215
User
Takoma Park
6
216
User
Takoma Park
6
217
User
Takoma Park
6
218
User
Takoma Park
6
219
User
Takoma Park
6
220
User
Takoma Park
6
221
User
Takoma Park
6
222
User
Bethesda
6
223
User
Baltimore
6
224
User
Gaithersburg
6
225
User
Rockville
6
226
User
Baltimore
6
227
User
Ellicott City
6
228
User
Bethesda
6
229
User
Bethesda
6
230
User
Saint Marys City
5
231
User
Takoma Park
5
232
David Cerna Martir
Takoma Park
5
233
User
Annapolis
5
234
User
Takoma Park
5
235
Eleshady Gebreyohannes
Takoma Park
5
236
User
Takoma Park
5
237
User
Takoma Park
5
238
User
Takoma Park
5
239
User
Takoma Park
5
240
User
Takoma Park
5
241
User
Takoma Park
5
242
User
Takoma Park
5
243
User
Takoma Park
5
244
Ariel Dickison
Takoma Park
5
245
User
Rockville
5
246
User
Takoma Park
5
247
User
Takoma Park
5
248
User
Takoma Park
5
249
User
Owings Mills
5
250
Cristina Tous
College Park
5
251
User
Catonsville
5
252
User
Baltimore
5
253
User
Silver Spring
5
254
User
Hagerstown
4
255
User
Baltimore
4
256
User
Severna Park
4
257
User
Glenelg
4
258
User
Annapolis
4
259
User
Takoma Park
4
260
User
Takoma Park
4
261
User
Takoma Park
4
262
User
Takoma Park
4
263
User
Takoma Park
4
264
User
Takoma Park
4
265
User
Takoma Park
4
266
User
Takoma Park
4
267
User
Takoma Park
4
268
User
Takoma Park
4
269
User
Takoma Park
4
270
User
Fort Washington
4
271
User
Reisterstown
4
272
User
Bethesda
4
273
User
Middle River
4
274
User
Edgewood
4
275
User
Bel Air North
4
276
User
Potomac
4
277
User
Bethesda
4
278
User
Frederick
4
279
User
Rockville
4
280
User
Baltimore
4
281
User
Gaithersburg
4
282
User
Parkville
3
283
User
Baltimore
3
284
User
College Park
3
285
User
Cumberland
3
286
User
Hanover
3
287
User
Owings Mills
3
288
User
Baltimore
3
289
User
Upper Marlboro
3
290
User
Takoma Park
3
291
User
Takoma Park
3
292
User
Takoma Park
3
293
User
Takoma Park
3
294
User
Reisterstown
3
295
User
Saint Marys City
3
296
User
Baltimore
3
297
User
Takoma Park
3
298
User
Takoma Park
3
299
Amate Ayivi Koutodjo
Takoma Park
3
300
User
Takoma Park
3
301
User
Takoma Park
3
302
Ozy Silverstone
Takoma Park
3
303
User
Takoma Park
3
304
User
Takoma Park
3
305
User
Takoma Park
3
306
User
Takoma Park
3
307
Ranashia
Takoma Park
3
308
User
Takoma Park
3
309
User
Takoma Park
3
310
User
Takoma Park
3
311
User
Takoma Park
3
312
User
Takoma Park
3
313
User
Takoma Park
3
314
User
Takoma Park
3
315
User
Baltimore
3
316
User
Edgewood
3
317
User
Bowie
3
318
User
Rockville
3
319
User
Columbia
3
320
User
Glen Arm
3
321
User
Crofton
3
322
User
Montgomery Village
3
323
User
Prince GeorgeS County
3
324
User
Rockville
3
325
User
Beltsville
3
326
User
Potomac
3
327
User
Rockville
3
328
User
Olney
3
329
User
Gaithersburg
3
330
User
Catonsville
2
331
User
Rockville
2
332
User
Sparks Glencoe
2
333
Matthew Lee
Gaithersburg
2
334
User
Stevensville
2
335
User
Clarksville
2
336
Toddy Ison
Gaithersburg
2
337
User
Baltimore
2
338
User
Bethesda
2
339
User
Baltimore
2
340
Lane Martin
Lutherville-Timonium
2
341
User
Takoma Park
2
342
User
North Laurel
2
343
User
North Bethesda
2
344
Elijah Peaks
Takoma Park
2
345
User
Takoma Park
2
346
User
Takoma Park
2
347
User
Takoma Park
2
348
User
Takoma Park
2
349
User
Takoma Park
2
350
User
Takoma Park
2
351
User
Takoma Park
2
352
User
Takoma Park
2
353
User
Takoma Park
2
354
User
Takoma Park
2
355
User
Takoma Park
2
356
User
Takoma Park
2
357
User
Takoma Park
2
358
User
Takoma Park
2
359
User
Takoma Park
2
360
User
Takoma Park
2
361
User
Silver Spring
2
362
User
Fairland
2
363
User
Takoma Park
2
364
User
Takoma Park
2
365
User
Takoma Park
2
366
User
Takoma Park
2
367
User
Takoma Park
2
368
User
Takoma Park
2
369
User
Takoma Park
2
370
User
Takoma Park
2
371
User
Takoma Park
2
372
User
Takoma Park
2
373
User
Takoma Park
2
374
User
Takoma Park
2
375
User
Takoma Park
2
376
User
Takoma Park
2
377
User
Towson
2
378
User
Takoma Park
2
379
User
Takoma Park
2
380
Gary Einhorn
Takoma Park
2
381
User
Aspen Hill
2
382
User
Aberdeen
2
383
User
Edgewood
2
384
User
Gaithersburg
2
385
User
Gaithersburg
2
386
User
Columbia
2
387
User
Damascus
2
388
User
Elkridge
2
389
User
North Bethesda
2
390
User
Bowie
2
391
User
Oxon Hill-Glassmanor
2
392
User
Germantown
2
393
User
Hyattsville
2
394
User
Wheaton-Glenmont
2
395
User
Savage
2
396
User
Fort Washington
2
397
Jessica Stouffer
Rockville
2
398
User
Beltsville
2
399
User
Silver Spring
2
400
User
Columbia
2
401
User
Cockeysville
2
402
User
South Laurel
2
403
User
Baltimore
2
404
User
Linthicum Heights
2
405
User
Columbia
2
406
User
Bethesda
2
407
User
Columbia
2
408
User
College Park
2
409
User
Hyattsville
2
410
User
Rockville
2
411
User
Baltimore
1
412
User
Baltimore
1
413
User
Green Valley
1
414
User
Greenbelt
1
415
User
Clarksburg
1
416
User
Stevensville
1
417
User
Baltimore
1
418
User
Greenbelt
1
419
User
Seabrook
1
420
User
Bethesda
1
421
User
Gaithersburg
1
422
User
Linganore-Bartonsville
1
423
User
Essex
1
424
User
Germantown
1
425
User
Silver Spring
1
426
Hayden Cookson
Takoma Park
1
427
Pamela Silva
Takoma Park
1
428
Carlos Winston
Owings Mills
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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