Leaderboard
Ireland
Ireland
Worldwide
Rank
Level
1
Thomas Joyce
Limerick
84
3
User
Louth
66
6
NestleSnipes
Baile Átha Cliath
64
7
Sophie O'Brien
Baile Átha Cliath
62
8
Jonathan Lester
Baile Átha Cliath
57
9
User
Ciarraí
53
10
User
Gaillimh
52
11
Gordon Cowpar
Limerick
51
12
Lucy Gorey
Cill Dara
50
13
User
Louth
50
19
User
Gaillimh
43
20
User
Port Láirge
40
21
Steffen Bakken
Baile Átha Cliath
40
23
User
Corcaigh
39
24
User
Loch Garman
39
29
User
Ciarraí
38
31
User
Port Láirge
36
34
User
Louth
35
35
User
Port Láirge
35
37
User
Donegal
34
38
abi power
Port Láirge
32
39
User
Port Láirge
32
40
User
Laois
32
44
User
Ciarraí
31
46
James(^•ᴥ•^)
Baile Átha Cliath
30
47
User
Port Láirge
29
48
User
Cill Dara
29
49
User
Ros Comáin
29
51
Martina Nowotny
Port Láirge
28
53
User
Carlow
28
54
Bla Cotter
Baile Átha Cliath
28
55
User
Connacht
28
56
Maria Rusu
Port Láirge
27
58
User
Port Láirge
27
59
User
Offaly
27
62
roisin kiersey
Port Láirge
26
63
User
Port Láirge
26
67
User
Gaillimh
26
68
User
Limerick
26
70
User
Connacht
26
71
User
Corcaigh
25
72
User
Port Láirge
25
73
Emma Fitzpatrick
Port Láirge
25
74
User
Port Láirge
25
75
User
Port Láirge
25
76
User
Port Láirge
25
77
User
Laois
25
79
User
Corcaigh
25
80
User
Corcaigh
24
81
User
Gaillimh
24
83
Siri Nandipaty
Baile Átha Cliath
24
85
User
Port Láirge
23
86
User
Port Láirge
23
87
User
Cill Dara
23
88
User
Gaillimh
23
89
User
Port Láirge
22
91
User
Gaillimh
22
93
User
Port Láirge
22
94
User
Cill Dara
22
97
Sarah Tighe
Gaillimh
22
98
User
Port Láirge
21
99
User
Port Láirge
21
100
User
Port Láirge
21
103
ruth kearney
Port Láirge
21
104
User
Port Láirge
21
105
User
Port Láirge
21
106
User
Port Láirge
21
107
User
Port Láirge
21
108
User
Port Láirge
21
109
User
Port Láirge
21
110
Lauren Douris
Port Láirge
21
111
User
Port Láirge
21
112
User
Port Láirge
21
115
User
Port Láirge
20
116
User
Port Láirge
20
117
User
Port Láirge
20
118
User
Port Láirge
20
120
User
Port Láirge
20
122
User
Gaillimh
20
125
User
Port Láirge
19
126
User
Port Láirge
19
127
User
Port Láirge
19
128
User
Donegal
19
132
User
Port Láirge
18
133
User
Port Láirge
18
135
User
Port Láirge
18
136
User
Port Láirge
18
137
User
Port Láirge
18
138
User
Donegal
18
141
User
Port Láirge
17
142
User
Port Láirge
17
143
User
Port Láirge
17
144
User
Port Láirge
17
145
User
Port Láirge
17
146
User
Port Láirge
17
147
User
Port Láirge
17
148
User
Donegal
17
150
User
Port Láirge
16
152
User
Port Láirge
16
153
User
Port Láirge
16
154
User
An Clár
16
157
User
Corcaigh
15
158
User
Maigh Eo
15
159
User
Port Láirge
15
160
User
Port Láirge
15
161
User
Port Láirge
15
162
User
Port Láirge
15
163
User
Gaillimh
15
164
User
An Clár
15
165
User
Loch Garman
15
168
User
Port Láirge
14
169
User
Port Láirge
14
171
User
Port Láirge
14
172
User
Port Láirge
14
175
Éilis Russell
Baile Átha Cliath
14
178
User
Port Láirge
13
179
User
Port Láirge
13
180
User
Port Láirge
13
181
User
Port Láirge
13
184
User
Louth
13
186
User
Connacht
13
187
User
Port Láirge
12
188
sarah tighe
Gaillimh
12
189
User
Port Láirge
12
190
User
Port Láirge
12
191
User
Port Láirge
12
192
User
Port Láirge
12
193
User
Port Láirge
12
194
User
Cill Dara
12
197
User
An Mhí
12
198
User
Loch Garman
12
199
User
Gaillimh
12
202
User
Port Láirge
11
203
User
Port Láirge
11
204
User
Port Láirge
11
205
User
Port Láirge
11
206
User
Port Láirge
11
207
User
Port Láirge
11
208
User
Port Láirge
11
209
Fel_iix
Baile Átha Cliath
11
210
User
Port Láirge
11
211
User
Port Láirge
11
212
User
Limerick
11
217
Tom Walsh
Baile Átha Cliath
11
220
User
Donegal
11
224
User
Carlow
10
225
User
Port Láirge
10
226
Black Uchiha
Baile Átha Cliath
10
227
User
Donegal
10
228
User
Port Láirge
10
229
User
Maigh Eo
10
231
User
Gaillimh
10
235
User
Sligeach
10
236
User
Port Láirge
9
239
User
Port Láirge
9
240
User
Port Láirge
9
241
User
Port Láirge
9
242
User
Port Láirge
9
243
User
Port Láirge
9
244
User
Port Láirge
9
246
User
An Clár
9
250
Domhnall O'Suibhne
Baile Átha Cliath
9
252
User
Port Láirge
8
253
Ciara Lenane
Port Láirge
8
254
User
Port Láirge
8
256
josephine
Baile Átha Cliath
8
260
User
Port Láirge
8
261
User
Port Láirge
8
262
User
Loch Garman
8
263
User
Port Láirge
8
264
User
Port Láirge
8
265
User
Port Láirge
8
266
User
Port Láirge
8
268
User
Corcaigh
8
271
User
Leitrim
8
272
User
Offaly
8
274
User
Port Láirge
7
275
User
Port Láirge
7
276
User
Port Láirge
7
277
User
Port Láirge
7
278
User
Port Láirge
7
282
User
Port Láirge
7
283
User
Port Láirge
7
284
User
Port Láirge
7
285
User
Port Láirge
7
286
User
Port Láirge
7
289
User
Donegal
7
290
User
Laois
7
292
User
Carlow
7
295
User
An Mhí
7
301
User
Port Láirge
6
302
User
Port Láirge
6
303
User
Port Láirge
6
304
Lilianna Broderick
Port Láirge
6
305
User
Port Láirge
6
307
User
Port Láirge
6
308
Andrea
Port Láirge
6
309
User
Port Láirge
6
312
User
Port Láirge
6
314
User
Gaillimh
6
317
User
Port Láirge
5
318
User
Port Láirge
5
319
User
Port Láirge
5
320
User
Port Láirge
5
323
User
Port Láirge
5
325
User
Port Láirge
5
326
User
Port Láirge
5
328
User
Corcaigh
5
331
User
Louth
5
332
User
Donegal
5
334
User
An Clár
5
340
User
Loch Garman
4
341
User
Port Láirge
4
342
User
Port Láirge
4
343
User
Port Láirge
4
344
User
Port Láirge
4
345
User
Port Láirge
4
346
User
Port Láirge
4
347
User
Port Láirge
4
348
User
Port Láirge
4
349
User
Gaillimh
4
350
User
An Clár
4
351
User
Port Láirge
4
352
User
Port Láirge
4
353
User
Port Láirge
4
357
User
An Mhí
4
358
User
Donegal
4
359
User
Louth
4
362
User
Port Láirge
3
363
User
Port Láirge
3
364
User
Gaillimh
3
365
User
Gaillimh
3
367
User
Region
3
368
User
Gaillimh
3
369
User
Port Láirge
3
370
User
Port Láirge
3
371
User
Port Láirge
3
372
User
Port Láirge
3
373
User
Donegal
3
375
User
Limerick
3
382
User
Connacht
3
383
User
Corcaigh
2
384
User
Port Láirge
2
385
User
Port Láirge
2
387
User
Gaillimh
2
388
User
Port Láirge
2
391
User
Corcaigh
2
393
User
Port Láirge
2
400
User
Limerick
2
402
User
Ciarraí
2
406
User
An Mhí
2
407
User
An Mhí
2
410
User
Limerick
2
415
User
Louth
2
418
User
An Longfort
1
420
User
Corcaigh
1
421
User
Louth
1
423
User
Gaillimh
1
424
User
Ciarraí
1
427
User
Port Láirge
1
430
Martu N
Port Láirge
1
432
Graham James Keane
Connacht
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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