Leaderboard
France
France
Worldwide
Rank
Level
2
François Ardèche
Auvergne-Rhône-Alpes
96
3
Maxence Tricheur
Île-de-France
96
4
Calculator
Île-de-France
91
5
RandomID
Occitanie
85
6
Delage David
Île-de-France
82
11
Psyl Monst
Île-de-France
76
13
Bruno Hatchondo
Île-de-France
71
18
jolijumper
Occitanie
66
19
Trivial
Île-de-France
66
21
OverFukos
Hauts-de-France
66
22
Caio Caetano Luna
Île-de-France
66
27
Julien Fraboulet
Occitanie
62
29
Black Cat
Grand-Est
62
30
Hk TNS
Île-de-France
59
33
Nicolas P
Île-de-France
56
35
Etienne Cros
Île-de-France
56
37
Harsha
Île-de-France
55
43
User
Grand-Est
53
45
William Cuozzo
Auvergne-Rhône-Alpes
52
50
User
Occitanie
50
58
Sabik Badr
Île-de-France
48
61
Florian Clairicia
Île-de-France
48
63
Ruben Dahan
Île-de-France
47
67
Jan Goralczyk
Île-de-France
46
68
Nicolas
Île-de-France
46
69
Harris Baghli
Hauts-de-France
45
71
coy95 coy95
Île-de-France
45
72
Martin Tovmassian
Auvergne-Rhône-Alpes
44
73
walid mejdoub
Île-de-France
44
75
Anthony PERUZZO
Île-de-France
44
77
User
Normandie
44
78
Alex Panda
Auvergne-Rhône-Alpes
44
81
Alexis Lecaplain
Auvergne-Rhône-Alpes
43
88
Perrin Tom
Hauts-de-France
42
90
Axel Brisse
Île-de-France
40
93
axel vignal
Auvergne-Rhône-Alpes
40
94
User
Bretagne
39
95
Sonido
Île-de-France
39
99
User
Normandie
39
102
Anthony Peruzzo
Île-de-France
39
103
Pascal
Occitanie
38
110
Uwe Klose
Normandie
38
113
Mikamath
Centre-Val de Loire
37
115
Mikamath
Centre-Val de Loire
37
117
phorcy
Occitanie
36
120
Bruno B
Île-de-France
35
122
nefarrious
Nouvelle-Aquitaine
35
125
Maxime Toquebiau
Île-de-France
34
126
User
Occitanie
34
127
Billie
Île-de-France
34
131
Marie Valentine
Île-de-France
34
132
Anthony A.
Île-de-France
33
139
samy Bouzidi
Île-de-France
33
140
Pierre Goutagny
Auvergne-Rhône-Alpes
32
144
Rémy Rouvet
Occitanie
31
150
User
Occitanie
30
152
User
Normandie
29
156
User
Grand-Est
29
160
Francesco Rambaldi
Auvergne-Rhône-Alpes
29
162
Ana Martiashvili
Hauts-de-France
29
164
Amaury De BATZ
Île-de-France
29
167
User
Bretagne
28
168
Paul Bismuth
Île-de-France
28
172
Maresquier Aline
Île-de-France
28
175
Alexia
Île-de-France
28
179
Yadablaba
Nouvelle-Aquitaine
27
180
Themask
Hauts-de-France
27
181
Althar
Île-de-France
27
184
Vincenzo Russo
Île-de-France
27
187
User
Normandie
27
191
Guillaume Dubois
Grand-Est
27
200
thibault payerne
Île-de-France
25
202
Cauchy Schwarzy
Pays-de-la-Loire
25
203
User
Grand-Est
25
205
User
Grand-Est
25
207
User
Occitanie
25
209
Matthew Iqbal
Île-de-France
24
219
Fren Dren
Île-de-France
24
223
Mert G.
Île-de-France
23
227
User
Occitanie
23
229
Paul Carayon
Île-de-France
23
240
User
Occitanie
22
244
User
Occitanie
22
245
User
Region
22
248
thierry kauffmann
Auvergne-Rhône-Alpes
22
251
Arthur Lagier
Pays-de-la-Loire
22
254
User
Bretagne
21
260
User
Grand-Est
21
269
MyMaths Prof
Île-de-France
20
272
Thibault Payerne
Île-de-France
20
273
User
Grand-Est
20
274
Yulia Dembitskaya
Île-de-France
20
276
etienne E
Grand-Est
20
277
User
Bretagne
20
280
Carol Mathers
Nouvelle-Aquitaine
20
281
dorian rurange
Auvergne-Rhône-Alpes
19
283
ju bbin
Île-de-France
19
297
Neil Lokhun
Île-de-France
19
307
Maria Yvoni Ouziel
Île-de-France
18
315
User
Occitanie
18
319
Louis Romero
Île-de-France
18
322
Lassa
Bretagne
18
326
Johanna Bunthae
Île-de-France
18
328
Ralph Cathcart
Île-de-France
18
331
Marian Rotariu
Occitanie
17
333
Quignodon Thibault
Île-de-France
17
340
Jean Forest
Auvergne-Rhône-Alpes
17
342
LeSknx
Grand-Est
17
347
User
Normandie
17
351
Marc R
Île-de-France
17
352
Guillaume Schneegans
Île-de-France
17
357
User
Bretagne
16
359
Muppet32
Île-de-France
16
365
Maxence1402a
Île-de-France
16
366
User
Grand-Est
16
376
David O
Île-de-France
16
386
Jason Kong
Île-de-France
15
388
Nietzsche
Hauts-de-France
15
391
User
Grand-Est
15
398
User
Occitanie
15
405
DanZ
Occitanie
15
406
sara yaz
Île-de-France
15
411
Ysa Alilou
Auvergne-Rhône-Alpes
15
420
Laetitia Schulcz
Île-de-France
14
432
ledrypotato
Nouvelle-Aquitaine
14
435
User
Occitanie
14
436
Vincent Ragel
Île-de-France
14
439
tami el grande
Île-de-France
14
444
Al Valkova
Île-de-France
14
449
Lucas
Île-de-France
13
452
mathis riera
Île-de-France
13
455
Sam-Rayden
Île-de-France
13
457
KaaTeeK
Occitanie
13
458
User
Occitanie
13
465
User
Occitanie
13
471
User
Grand-Est
13
478
azerty azerty
Auvergne-Rhône-Alpes
13
479
User
Grand-Est
13
483
User
Occitanie
13
487
Nuage Magique
Grand-Est
12
492
quentin courtheoux
Île-de-France
12
507
Rodolphe Henry
Auvergne-Rhône-Alpes
12
508
pierre ghesquiere
Occitanie
12
513
User
Occitanie
12
514
Lorraine Félix
Île-de-France
12
519
Pierre Olive
Île-de-France
12
529
kml ben
Hauts-de-France
11
534
User
Normandie
11
551
Hugo Locussol
Île-de-France
11
554
Isaac Sabana
Île-de-France
11
556
User
Occitanie
11
568
Walid EL AYED
Bretagne
11
569
Jennifer Rockwell
Île-de-France
11
570
Naw HH
Île-de-France
11
574
User
Occitanie
11
576
Tamazgha azerty
Île-de-France
11
586
dio cane
Île-de-France
10
587
fabio
Île-de-France
10
593
User
Grand-Est
10
598
User
Bretagne
10
604
User
Occitanie
10
606
User
Occitanie
10
607
Boubacar
Île-de-France
10
608
Ricky bitch.
Île-de-France
10
616
Djibi
Île-de-France
10
626
Krogan
Hauts-de-France
10
630
User
Occitanie
10
634
Catharina MASCHKA
Île-de-France
10
643
Layht Mabba
Île-de-France
9
648
User
Occitanie
9
651
User
Occitanie
9
657
Vincent KUBICKI
Hauts-de-France
9
661
User
Bretagne
9
662
Alexandre Goncalves
Île-de-France
9
663
User
Grand-Est
9
672
Yan Bouglie
Auvergne-Rhône-Alpes
9
673
User
Occitanie
9
677
User
Occitanie
9
682
Fait Belacqua
Île-de-France
9
684
User
Occitanie
9
690
User
Occitanie
9
695
Amar Tarik
Île-de-France
9
697
User
Occitanie
8
703
tango charlie 99
Bretagne
8
720
Stefan Iliev
Auvergne-Rhône-Alpes
8
722
Evan Wierre
Hauts-de-France
8
730
User
Grand-Est
8
735
User
Occitanie
8
737
User
Occitanie
8
739
User
Normandie
8
740
Qg Dygj
Île-de-France
8
741
Gonzague Denise
Normandie
8
743
User
Grand-Est
8
746
User
Grand-Est
8
748
Noufissa BENABDELJALIL
Île-de-France
8
749
Mimitiger
Île-de-France
8
751
User
Occitanie
7
761
User
Occitanie
7
767
Jackma
Île-de-France
7
768
User
Grand-Est
7
771
User
Occitanie
7
774
User
Grand-Est
7
783
User
Bretagne
7
787
User
Occitanie
7
788
User
Occitanie
7
792
User
Grand-Est
7
795
Irakos Cinq
Île-de-France
7
799
Pascal
Île-de-France
7
800
M. Krypton
Île-de-France
7
807
User
Occitanie
7
811
Quarnite
Île-de-France
7
818
User
Bretagne
7
824
User
Grand-Est
6
825
User
Occitanie
6
828
User
Region
6
830
Florian chavernac
Occitanie
6
833
User
Occitanie
6
835
User
Occitanie
6
845
User
Grand-Est
6
851
User
Occitanie
6
857
User
Grand-Est
6
877
Clément Bonnefoy
Bourgogne-Franche-Comté
6
883
User
Occitanie
6
885
User
Grand-Est
6
886
User
Occitanie
6
887
User
Occitanie
6
888
User
Grand-Est
6
892
User
Occitanie
6
897
User
Grand-Est
6
898
User
Occitanie
6
907
User
Grand-Est
5
910
Fabio Valle
Île-de-France
5
914
cheima hammou
Île-de-France
5
915
Alexandre Mendes
Île-de-France
5
916
Amaury Dupont
Île-de-France
5
920
User
Normandie
5
922
User
Region
5
932
User
Grand-Est
5
933
User
Grand-Est
5
934
User
Grand-Est
5
940
User
Occitanie
5
944
User
Bretagne
5
946
User
Occitanie
5
949
Shadow Stonk
Île-de-France
5
981
Gaïan Germani
Île-de-France
5
989
Jawad favori
Île-de-France
5
992
Pierre Millon
Île-de-France
5

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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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