Leaderboard
Ireland
Ireland
Worldwide
Rank
Level
1
User
An Mhí
89
5
12345Philip12345
Baile Átha Cliath
62
7
User
Louth
53
9
Kevin Cooke
Baile Átha Cliath
46
11
Mats Heijmans
Baile Átha Cliath
44
12
Louis Angelini
Corcaigh
43
14
Billy Lee
Corcaigh
40
22
Sophie O'Brien
Baile Átha Cliath
36
24
User
An Iarmhí
35
27
Michael Kane
Baile Átha Cliath
32
29
User
An Cabhán
31
30
User
An Cabhán
31
31
User
An Cabhán
30
33
User
Corcaigh
29
35
User
An Cabhán
28
37
User
An Cabhán
26
42
User
An Cabhán
26
44
User
Corcaigh
25
45
User
An Cabhán
24
47
User
Louth
22
49
Saoirse Corbett
Baile Átha Cliath
22
50
User
Corcaigh
21
51
User
Corcaigh
21
52
Jonathan Lester
Baile Átha Cliath
21
53
User
Port Láirge
21
55
User
Ciarraí
21
56
User
An Cabhán
21
57
User
An Cabhán
21
58
User
Port Láirge
21
62
User
Louth
20
63
User
Gaillimh
20
66
User
Port Láirge
18
70
Steffen Bakken
Baile Átha Cliath
18
71
User
Ciarraí
18
75
User
Port Láirge
18
77
User
Donegal
18
78
User
An Cabhán
17
79
User
An Cabhán
17
80
abi power
Port Láirge
17
82
User
Port Láirge
17
83
Martina Nowotny
Port Láirge
17
85
User
Corcaigh
16
86
User
Gaillimh
16
88
DA BEAN
Cill Dara
16
90
Lucy Gorey
Cill Dara
16
91
User
An Cabhán
16
92
Maria Rusu
Port Láirge
15
93
User
Cill Dara
15
95
User
An Cabhán
15
96
roisin kiersey
Port Láirge
15
97
User
Ciarraí
15
100
User
Port Láirge
14
101
User
An Cabhán
14
102
User
Cill Dara
14
103
User
Laois
14
104
User
Gaillimh
14
106
User
Port Láirge
14
108
User
Port Láirge
13
110
Emma Fitzpatrick
Port Láirge
13
111
User
Port Láirge
13
113
User
Port Láirge
13
114
User
Port Láirge
13
115
E Murphy
Louth
13
116
User
Port Láirge
13
118
User
Port Láirge
12
120
User
An Cabhán
12
121
User
An Cabhán
12
122
User
Corcaigh
12
124
User
An Clár
12
125
User
Port Láirge
12
126
User
Port Láirge
12
127
User
Port Láirge
12
128
User
Port Láirge
12
129
User
Gaillimh
12
134
User
An Cabhán
11
136
User
Port Láirge
11
138
User
Louth
11
139
User
Port Láirge
11
140
User
Port Láirge
11
141
ruth kearney
Port Láirge
11
142
User
Port Láirge
11
143
User
Port Láirge
11
144
User
Port Láirge
11
145
User
Port Láirge
11
146
User
Port Láirge
11
147
User
Port Láirge
11
148
Lauren Douris
Port Láirge
11
151
User
An Cabhán
11
152
User
An Cabhán
11
153
User
An Cabhán
11
155
User
Port Láirge
10
156
User
Port Láirge
10
160
User
Port Láirge
10
161
User
Port Láirge
10
164
User
Port Láirge
10
165
User
Port Láirge
10
166
User
Cill Dara
10
167
User
Port Láirge
10
169
User
Offaly
10
173
User
An Cabhán
10
174
User
An Cabhán
10
176
User
Cill Dara
10
178
User
Port Láirge
10
179
User
Port Láirge
10
183
User
Port Láirge
10
187
User
An Mhí
10
188
User
Port Láirge
10
191
User
Corcaigh
9
194
User
Port Láirge
9
196
User
Port Láirge
9
199
Sarah Tighe
Gaillimh
9
201
User
Port Láirge
9
202
User
Ciarraí
9
203
User
Maigh Eo
9
204
User
Laois
9
205
josephine
An Clár
9
207
User
Port Láirge
9
209
User
Port Láirge
9
210
User
Port Láirge
9
211
User
Port Láirge
9
212
User
Port Láirge
9
213
User
Port Láirge
9
214
User
Port Láirge
9
215
User
Port Láirge
9
216
User
Ros Comáin
9
218
User
Gaillimh
9
219
User
Offaly
9
220
User
Carlow
9
224
User
Gaillimh
9
228
User
Port Láirge
9
229
User
Port Láirge
9
230
User
Gaillimh
9
233
User
Port Láirge
8
234
User
Port Láirge
8
235
User
Gaillimh
8
237
User
Port Láirge
8
240
User
Port Láirge
8
241
sarah tighe
Gaillimh
8
242
User
Limerick
8
245
User
Port Láirge
8
246
User
Port Láirge
8
247
Siri Nandipaty
Baile Átha Cliath
8
249
User
Ros Comáin
8
250
User
Port Láirge
8
251
User
Port Láirge
8
256
User
Port Láirge
7
257
User
Port Láirge
7
258
User
Corcaigh
7
260
Dijana Ostojic
Baile Átha Cliath
7
263
User
Port Láirge
7
264
User
Port Láirge
7
265
User
Gaillimh
7
266
User
Port Láirge
7
267
User
Port Láirge
7
268
User
An Clár
7
269
User
Port Láirge
7
270
User
Port Láirge
7
271
User
Port Láirge
7
273
User
Loch Garman
7
274
User
Donegal
7
277
User
Cill Dara
7
278
Hikaru Hikaru
Baile Átha Cliath
7
280
User
Port Láirge
7
281
User
Port Láirge
7
282
User
Port Láirge
7
283
User
Donegal
7
286
User
Port Láirge
7
287
User
Port Láirge
7
290
User
Limerick
6
291
User
Carlow
6
295
User
Donegal
6
297
User
An Mhí
6
299
User
An Clár
6
302
User
Port Láirge
6
306
User
Port Láirge
6
307
Black Uchiha
Baile Átha Cliath
6
308
User
Donegal
6
310
User
Port Láirge
6
313
User
Louth
6
315
User
Port Láirge
6
316
User
Port Láirge
6
324
User
Port Láirge
5
325
User
Port Láirge
5
326
User
Port Láirge
5
327
User
Port Láirge
5
328
Ciara Lenane
Port Láirge
5
331
Tom Walsh
Baile Átha Cliath
5
332
User
Port Láirge
5
334
User
Port Láirge
5
335
User
Limerick
5
337
User
Maigh Eo
5
342
User
Port Láirge
5
343
User
Port Láirge
5
344
User
An Mhí
5
348
User
Donegal
5
349
User
Gaillimh
5
352
User
Loch Garman
5
353
User
Gaillimh
5
355
User
Port Láirge
5
356
User
Port Láirge
5
359
Éilis Russell
Baile Átha Cliath
5
361
User
Port Láirge
5
362
User
Port Láirge
5
363
User
Port Láirge
5
364
User
Port Láirge
5
365
User
Port Láirge
5
366
User
Port Láirge
5
370
User
Port Láirge
5
371
User
Corcaigh
4
380
User
Corcaigh
4
381
User
Port Láirge
4
382
User
Port Láirge
4
383
User
Port Láirge
4
385
User
Gaillimh
4
386
User
Port Láirge
4
387
User
Port Láirge
4
388
User
An Clár
4
391
User
Port Láirge
4
392
User
Port Láirge
4
393
User
Port Láirge
4
394
User
Port Láirge
4
395
Lilianna Broderick
Port Láirge
4
401
User
Donegal
4
403
User
Port Láirge
4
408
User
Louth
4
409
User
Maigh Eo
4
410
User
Laois
4
414
Andrea
Port Láirge
4
415
User
Port Láirge
4
416
User
An Cabhán
4
422
User
Port Láirge
3
423
User
Port Láirge
3
424
User
Port Láirge
3
425
User
Port Láirge
3
427
User
Corcaigh
3
428
User
Corcaigh
3
432
User
Carlow
3
434
User
Port Láirge
3
440
User
Limerick
3
441
User
Port Láirge
3
442
User
Port Láirge
3
443
User
An Cabhán
3
445
User
Leitrim
3
446
User
Offaly
3
449
User
An Mhí
3
450
User
Port Láirge
3
451
User
Corcaigh
3
458
User
Port Láirge
3
461
User
Gaillimh
3
462
User
Louth
3
464
User
Loch Garman
3
466
User
Port Láirge
2
467
User
Port Láirge
2
468
User
Port Láirge
2
469
User
Port Láirge
2
470
User
Port Láirge
2
471
User
Port Láirge
2
472
User
Port Láirge
2
473
User
Port Láirge
2
474
User
Corcaigh
2
475
User
Gaillimh
2
476
User
Donegal
2
479
User
An Clár
2
482
User
An Clár
2
484
User
Port Láirge
2
485
User
Port Láirge
2
486
User
Port Láirge
2
492
User
Loch Garman
2
495
User
Port Láirge
2
496
User
Port Láirge
2
497
User
Port Láirge
2
499
User
Gaillimh
2
500
User
An Longfort
2
501
User
Gaillimh
2
503
User
Port Láirge
2
504
User
Port Láirge
2
506
User
Carlow
2
509
User
Maigh Eo
2
511
User
Gaillimh
2
513
User
Port Láirge
2
514
User
Port Láirge
2
515
User
Port Láirge
2
517
User
Port Láirge
2
518
User
Donegal
2
520
User
An Mhí
2
521
User
Donegal
1
523
User
Ciarraí
1
524
User
Donegal
1
527
User
Corcaigh
1
531
User
Louth
1
532
User
Corcaigh
1
533
User
Limerick
1
535
User
Port Láirge
1
536
User
Port Láirge
1
539
User
Gaillimh
1
540
User
Port Láirge
1
545
User
Corcaigh
1
548
User
Port Láirge
1
552
User
Donegal
1
558
User
Louth
1
559
User
Limerick
1
566
User
Ciarraí
1
570
User
Maigh Eo
1
573
User
Louth
1
578
User
An Mhí
1
579
User
An Mhí
1
583
User
An Longfort
1
585
User
Louth
1
587
User
Gaillimh
1
588
User
Ciarraí
1
593
User
Port Láirge
1
596
Martu N
Port Láirge
1
597
User
Limerick
1
598
Graham James Keane
Connacht
0

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