Leaderboard
France
France
Worldwide
Rank
Level
3
Axel Brisse
Île-de-France
95
4
RandomID
Occitanie
93
9
jolijumper
Occitanie
86
12
Psyl Monst
Île-de-France
84
13
coy95 coy95
Île-de-France
82
14
Michel Zou
Auvergne-Rhône-Alpes
80
15
compte gmail
Occitanie
79
19
Leo Bouvier
Auvergne-Rhône-Alpes
77
23
Julien Fraboulet
Occitanie
71
24
User
Region
71
25
Tyrael
Île-de-France
70
26
Bruno B
Île-de-France
70
30
Harsha
Île-de-France
66
31
Anthony PERUZZO
Île-de-France
65
32
Perrin Tom
Hauts-de-France
65
33
Francesco Rambaldi
Auvergne-Rhône-Alpes
64
39
Black Cat
Grand-Est
61
40
Etienne Cros
Île-de-France
61
41
Alexia
Île-de-France
61
43
walid mejdoub
Île-de-France
60
45
Mert G.
Île-de-France
59
46
Arthur Lagier
Pays-de-la-Loire
59
50
User
Bretagne
56
52
Pascal
Occitanie
55
56
Martin Tovmassian
Auvergne-Rhône-Alpes
54
57
Vincenzo Russo
Île-de-France
54
62
phorcy
Occitanie
52
64
Althar
Île-de-France
52
66
Alexis LECAPLAIN
Occitanie
51
67
axel vignal
Auvergne-Rhône-Alpes
51
69
User
Bretagne
51
71
Themask
Hauts-de-France
51
75
Matthew Iqbal
Île-de-France
50
76
David O
Île-de-France
50
77
Guillaume Dubois
Grand-Est
49
78
Yulia Dembitskaya
Île-de-France
49
82
dorian rurange
Auvergne-Rhône-Alpes
48
84
Pierre Goutagny
Auvergne-Rhône-Alpes
47
96
Thibault Payerne
Île-de-France
46
98
Anthony A.
Île-de-France
45
100
Maria Yvoni Ouziel
Île-de-France
45
105
Sonido
Île-de-France
44
110
Marian Rotariu
Occitanie
44
122
Maresquier Aline
Île-de-France
42
123
User
Grand-Est
42
125
User
Occitanie
42
126
Carol Mathers
Nouvelle-Aquitaine
42
131
User
Occitanie
42
132
Maxence1402a
Île-de-France
42
135
User
Occitanie
41
148
Jason Kong
Île-de-France
41
150
Amaury De BATZ
Île-de-France
40
158
Nietzsche
Hauts-de-France
40
159
mathis riera
Île-de-France
40
162
etienne E
Grand-Est
39
166
Ana Martiashvili
Hauts-de-France
38
169
Johanna Bunthae
Île-de-France
38
173
Vincent Ragel
Île-de-France
38
174
User
Occitanie
37
181
User
Grand-Est
37
186
Alex Panda
Auvergne-Rhône-Alpes
36
191
Fren Dren
Île-de-France
36
194
User
Grand-Est
36
197
Paul Carayon
Île-de-France
35
198
User
Occitanie
35
211
User
Bretagne
34
216
User
Occitanie
34
219
User
Occitanie
33
221
Louis Romero
Île-de-France
33
225
Walid EL AYED
Bretagne
33
226
User
Grand-Est
32
227
User
Occitanie
32
231
User
Grand-Est
32
232
MyMaths Prof
Île-de-France
32
235
User
Occitanie
32
238
Cauchy Schwarzy
Pays-de-la-Loire
31
240
thierry kauffmann
Auvergne-Rhône-Alpes
31
241
Neil Lokhun
Île-de-France
31
245
User
Occitanie
31
276
User
Occitanie
29
277
Boubacar
Île-de-France
29
279
User
Region
28
280
samy Bouzidi
Île-de-France
28
282
User
Bretagne
28
283
User
Grand-Est
28
287
Nuage Magique
Grand-Est
28
291
User
Bretagne
28
294
Quignodon Thibault
Île-de-France
27
295
Marc R
Île-de-France
27
296
sara yaz
Île-de-France
27
302
User
Occitanie
27
309
LeSknx
Grand-Est
26
312
User
Grand-Est
26
314
azerty azerty
Auvergne-Rhône-Alpes
26
321
User
Occitanie
26
323
User
Occitanie
26
331
User
Grand-Est
25
333
Pierre Olive
Île-de-France
25
343
ju bbin
Île-de-France
24
344
Rémy Rouvet
Occitanie
24
346
User
Normandie
24
348
Anthony Peruzzo
Île-de-France
24
351
User
Occitanie
24
357
Alexandre Goncalves
Île-de-France
24
361
Lassa
Bretagne
23
365
DanZ
Occitanie
23
366
ledrypotato
Nouvelle-Aquitaine
23
373
quentin courtheoux
Île-de-France
23
375
pierre ghesquiere
Occitanie
23
376
User
Normandie
23
380
Jennifer Rockwell
Île-de-France
23
383
User
Occitanie
23
385
User
Region
23
390
User
Occitanie
22
395
Hugo Locussol
Île-de-France
22
403
Guillaume Schneegans
Île-de-France
21
404
Muppet32
Île-de-France
21
405
Ysa Alilou
Auvergne-Rhône-Alpes
21
407
Lucas
Île-de-France
21
424
Noufissa BENABDELJALIL
Île-de-France
21
427
User
Occitanie
21
429
User
Occitanie
21
432
Quarnite
Île-de-France
21
433
User
Region
21
434
User
Region
21
437
Laetitia Schulcz
Île-de-France
20
448
User
Occitanie
20
454
Jackma
Île-de-France
20
455
User
Occitanie
20
457
User
Occitanie
20
459
User
Occitanie
20
460
User
Region
20
461
User
Region
20
474
User
Grand-Est
19
477
M. Krypton
Île-de-France
19
479
User
Occitanie
19
486
User
Grand-Est
18
494
User
Region
18
495
User
Region
18
496
tami el grande
Île-de-France
17
502
Catharina MASCHKA
Île-de-France
17
511
User
Occitanie
17
515
User
Occitanie
16
525
Lucie
Île-de-France
16
526
User
Occitanie
16
527
Gonzague Denise
Normandie
16
528
Mimitiger
Île-de-France
16
534
User
Grand-Est
16
536
User
Occitanie
16
539
fabio
Île-de-France
15
541
Ricky bitch.
Île-de-France
15
545
Fait Belacqua
Île-de-France
15
546
User
Occitanie
15
547
User
Normandie
15
559
User
Region
15
571
User
Occitanie
14
574
User
Bretagne
14
589
Naw HH
Île-de-France
13
591
dio cane
Île-de-France
13
592
User
Grand-Est
13
593
User
Occitanie
13
594
User
Occitanie
13
598
Layht Mabba
Île-de-France
13
601
Yan Bouglie
Auvergne-Rhône-Alpes
13
603
User
Occitanie
13
610
User
Occitanie
13
611
User
Grand-Est
13
616
User
Occitanie
13
622
Fabio Valle
Île-de-France
13
624
Krogan
Hauts-de-France
12
625
Vincent KUBICKI
Hauts-de-France
12
626
Mikamath
Centre-Val de Loire
12
628
User
Occitanie
12
653
tango charlie 99
Bretagne
11
658
User
Grand-Est
11
659
User
Grand-Est
11
660
User
Grand-Est
11
664
User
Grand-Est
11
666
User
Occitanie
11
668
User
Occitanie
11
671
Amaury Dupont
Île-de-France
11
680
Sylvain Thi
Auvergne-Rhône-Alpes
11
681
Isaac Sabana
Île-de-France
10
683
Stefan Iliev
Auvergne-Rhône-Alpes
10
686
Qg Dygj
Île-de-France
10
687
User
Occitanie
10
689
User
Occitanie
10
694
User
Bretagne
10
698
User
Grand-Est
10
703
Clément Bonnefoy
Bourgogne-Franche-Comté
10
705
User
Grand-Est
10
709
User
Occitanie
10
722
User
Region
10
723
User
Region
10
727
Florian chavernac
Occitanie
9
733
User
Occitanie
9
734
User
Grand-Est
9
737
Shadow Stonk
Île-de-France
9
748
User
Bretagne
9
749
User
Occitanie
9
751
User
Region
9
752
Irakos Cinq
Île-de-France
8
753
Pascal
Île-de-France
8
765
User
Grand-Est
8
768
cheima hammou
Île-de-France
8
769
Alexandre Mendes
Île-de-France
8
772
User
Bretagne
8
778
Jawad favori
Île-de-France
8
783
mimitiger
Île-de-France
8
785
théophane cengiz
Île-de-France
8
788
Yohann Marmonier
Auvergne-Rhône-Alpes
8
789
User
Grand-Est
8
807
Gaïan Germani
Île-de-France
7
817
User
Grand-Est
7
822
User
Occitanie
7
823
User
Grand-Est
7
827
User
Occitanie
7
828
User
Bretagne
7
829
User
Occitanie
7
830
cristina libralato
Île-de-France
7
833
User
Grand-Est
7
836
User
Occitanie
7
837
Guillaume
Region
7
838
User
Region
7
839
User
Region
7
847
User
Occitanie
6
852
User
Occitanie
6
854
User
Occitanie
6
857
Arnaud ca
Bretagne
6
861
laurentgh
Île-de-France
6
873
User
Grand-Est
6
878
User
Grand-Est
6
883
User
Region
6
884
User
Region
6
892
User
Normandie
5
896
User
Occitanie
5
901
User
Normandie
5
902
User
Bretagne
5
905
ALIPRE
Île-de-France
5
906
Carla Thollet
Occitanie
5
910
Aristide Wang
Île-de-France
5
914
Clar78
Île-de-France
5
934
User
Grand-Est
5
946
User
Occitanie
5
951
User
Grand-Est
5
952
RawSugar
Region
5
957
User
Region
4
966
Liline
Île-de-France
4
969
jonathan b
Île-de-France
4
997
User
Region
4
998
Naomi
Region
4
999
Olivia Besancon
Region
4

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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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