Sub-Saharan Africa
Worldwide
Sub-Saharan Africa
Rank
Level
1
Ghalib Sadan
100
3
dees
72
4
jeneane wilson
67
7
OWASS
61
13
Aderonke
55
15
Cborgx -
50
16
Nicolas Jouannaux
49
17
Kavishaur Dwarika
47
19
47
20
Buhe Dube
46
21
Bo Min Kim
45
26
Sunghun Kim
42
29
Calvin Ferreira
41
30
Teejay
40
31
Dennis Phieros
39
33
Chrispine
38
34
TeachMee
38
35
Dhruv
38
36
Melissa Posthumus
38
39
36
40
36
41
Marc'avent Tchona
36
46
34
47
34
48
34
49
liwei zhu
33
50
Ruan Kruger
33
51
Andrew Hartogh
33
52
David Asenso
33
56
Sanam M Mojarad
32
59
Joshua Wang
31
60
31
64
30
67
AglowOwl456
29
68
28
69
Jurie Botha
28
70
John Prentice
28
72
28
73
Kirk Jones
28
74
27
76
RyanDestroys
26
77
25
78
25
79
Tarjani Patel
25
80
Naomi K
24
81
24
82
Max Hayes
24
84
Gladys Elisa Somé
24
85
Storm Jakobsen
23
86
Peter Williams
23
88
23
90
22
91
22
96
21
98
Urim Kim
20
102
Ishmael
20
103
Sonia Wearn
20
105
Sumeiya Ali Sheriff
20
106
20
107
20
108
Jenny
20
109
Max Mauritz
19
111
19
113
19
114
Gabriela Bold
19
115
19
116
David Jones
19
117
Jeel
19
118
Buhe Dube
19
119
legundo
18
125
18
127
Bizzle O
18
130
Cornelius Lichtl
18
131
18
133
17
134
17
135
17
137
17
138
17
140
Jhooo
17
142
Fr
17
143
17
144
16
145
Chloe Coupienne
16
146
Masixole
16
147
16
148
Olivia Hansen
16
149
Sydney Sauti
16
151
Manatse
16
152
16
153
Q J
16
154
Billy Kaputula
16
156
16
157
16
158
16
159
Stefan
16
160
16
161
pm
16
164
16
165
Mark
16
167
Tina
15
168
15
170
15
171
15
173
15
174
Lucas
15
178
Joseph Sakala
15
180
CaniceMusaQuraishy
15
182
15
183
Katekani
15
184
15
186
14
188
14
189
14
195
14
197
14
198
14
199
14
200
Mastermulo
13
202
13
203
Allison Audiobooks
13
206
13
208
13
210
13
212
12
213
elikanah maina
12
214
Kashela Muchima
12
215
Welile
12
216
12
218
12
220
12
221
12
222
12
223
Amando Baldeo
12
224
Kelvin
12
225
12
226
Zoe Chang
12
227
Ilze Malan
12
229
Gabriel
12
233
Tshidiso Vatsha
11
237
11
238
Storm
11
239
Fedile Kekana
11
240
11
243
Alix Coupienne
11
244
ShwiftyPhoe
11
246
11
249
11
250
Nazira Soares
11
253
Mahmud Jaji
10
254
10
255
10
258
10
259
10
260
10
261
10
262
Nicolas Taylor
10
263
10
264
busiku martin hamilemba
10
265
10
266
Drew Orland
10
267
10
276
10
277
NULOS
10
278
10
279
10
280
10
281
Adam
10
284
10
285
10
290
9
293
9
295
9
296
9
297
gekko state
9
298
Liam Thom
9
299
9
301
Cobus Mostert
9
307
9
308
kevine shama
9
312
9
317
Josephine Wiggett
9
318
9
321
Christo Pietersen
9
322
9
323
Francois
9
324
9
326
8
329
Rishi Kanabar
8
331
Skhulile Mdaka
8
332
Janice Musaka
8
333
8
334
Josh Kaplan
8
338
8
342
Rokiya Diakhate
8
343
8
344
8
349
8
350
Gregory Byrnes
8
351
isibo niyoneza
8
355
8
365
8
366
Wega Irungu
8
367
Koketso
8
371
8
376
Amit Buchbut
7
381
7
382
7
383
Amalie Reite
7
384
Calum
7
386
Zuraina Dargaye
7
388
7
390
Caroline Wong
7
395
Adam Ratanshi
7
398
7
402
7
403
JOHAN VERMEULEN
7
404
7
406
Dia Deepraj
7
416
7
417
7
418
Mylene Aude Pengdwindé Sebogo
7
423
7
424
7
427
7
428
tshiamo
6
429
6
432
6
433
6
435
6
437
Mateo
6
438
Paul Emmanuel Atte
6
442
Belinda
6
445
6
449
waruru erick
6
462
Mia Ravens
6
465
Beteal Baraki
6
466
Kaleb Adane
6
468
6
471
Malkia Barlow-Mosha
6
474
6
477
6
480
6
481
Oluwatobiloba adewusi
6
484
6
489
6
494
6
498
6
500
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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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