Leaderboard
South Africa
South Africa
Worldwide
Rank
Level
1
User
Gauteng
85
2
User
Gauteng
83
3
User
Gauteng
79
4
User
Gauteng
76
5
User
Gauteng
75
6
User
Gauteng
75
7
User
Gauteng
73
9
User
Gauteng
62
10
jeneane wilson
Limpopo
54
11
Dennis Phieros
Gauteng
51
12
TeachMee
Gauteng
49
13
Ruan Kruger
Gauteng
45
14
liwei zhu
iTjhingalanga-Kapa
45
15
Andrew Hartogh
Gauteng
44
17
Kavishaur Dwarika
Gauteng
42
18
User
Gauteng
42
20
Jurie Botha
iTjhingalanga-Kapa
39
21
AglowOwl456
Eastern Cape
38
23
Melissa Posthumus
Gauteng
33
24
Max Hayes
iTjhingalanga-Kapa
32
26
Calvin Ferreira
Gauteng
32
27
Peter Williams
Gauteng
30
29
User
Gauteng
29
30
Gabriela Bold
iTjhingalanga-Kapa
28
32
Jenny
Gauteng
27
33
User
Gauteng
26
34
User
Gauteng
26
35
David Jones
iTjhingalanga-Kapa
26
38
User
Eastern Cape
25
43
Masixole
Gauteng
23
45
Olivia Hansen
Gauteng
22
46
User
Gauteng
22
47
User
Gauteng
22
50
User
Gauteng
21
51
Katekani
Gauteng
21
53
User
Gauteng
21
54
User
Gauteng
20
55
User
Gauteng
20
60
User
Limpopo
19
63
User
Gauteng
18
64
User
Gauteng
18
65
Fedile Kekana
Gauteng
17
66
Mastermulo
iTjhingalanga-Kapa
17
67
User
Gauteng
16
69
User
Gauteng
16
70
Liam Thom
Gauteng
16
71
User
Eastern Cape
16
72
Ilze Malan
Gauteng
16
74
User
Gauteng
15
75
User
Gauteng
15
77
User
Gauteng
15
81
Storm
Gauteng
14
83
User
Gauteng
14
84
User
Gauteng
14
85
Francois
Gauteng
14
88
Nicolas Taylor
iTjhingalanga-Kapa
13
89
User
Gauteng
13
90
User
Gauteng
13
91
User
Eastern Cape
13
93
User
Gauteng
13
96
Josephine Wiggett
iTjhingalanga-Kapa
13
97
User
Gauteng
13
98
User
Gauteng
13
99
Gregory Byrnes
Gauteng
13
100
User
Gauteng
13
101
Welile
GaZulu-Natala
13
102
User
Gauteng
12
103
User
Gauteng
12
104
User
GaZulu-Natala
12
105
User
Gauteng
12
106
User
Gauteng
12
107
User
Limpopo
12
108
User
Gauteng
12
109
JOHAN VERMEULEN
Gauteng
12
111
Josh Kaplan
Gauteng
12
113
User
Gauteng
12
114
xplosive Nelson
iTjhingalanga-Kapa
12
115
kevine shama
iTjhingalanga-Kapa
12
116
User
Gauteng
12
117
User
Gauteng
12
118
User
Gauteng
12
119
User
Gauteng
12
120
User
Gauteng
11
122
User
GaZulu-Natala
11
125
User
Gauteng
11
126
User
GaZulu-Natala
11
127
User
Eastern Cape
11
128
User
Gauteng
11
130
User
Gauteng
11
131
User
Gauteng
11
132
Skhulile Mdaka
Gauteng
11
133
User
Gauteng
11
135
Caroline Wong
Region
10
136
User
Gauteng
10
137
User
Gauteng
10
138
Mateo
Gauteng
10
139
User
Gauteng
10
140
User
Gauteng
10
142
User
Gauteng
10
143
Koketso
Gauteng
10
146
User
Gauteng
10
148
User
Gauteng
10
150
User
Gauteng
10
151
User
Gauteng
9
152
Mia Ravens
iTjhingalanga-Kapa
9
156
Dia Deepraj
iTjhingalanga-Kapa
9
158
User
Gauteng
9
160
User
Gauteng
9
161
User
Gauteng
9
162
User
Gauteng
9
163
Johann van Niekerk
iTjhingalanga-Kapa
9
166
Martin Oosthuizen
Gauteng
8
170
Aiden Grove
Gauteng
8
173
User
Limpopo
8
176
User
Gauteng
8
180
Rachel Vickers
iTjhingalanga-Kapa
8
183
User
Gauteng
8
184
User
Gauteng
8
185
User
Gauteng
8
191
Y Sithole
Gauteng
7
193
Elizma van Niekerk
Gauteng
7
196
User
Gauteng
7
197
User
Gauteng
7
198
User
Gauteng
7
199
User
Gauteng
7
201
Brittain Walker
Gauteng
7
202
User
Gauteng
7
203
Clinton Magano
Gauteng
7
204
User
Gauteng
7
206
Matt
Gauteng
7
207
User
iMpumalanga
7
208
Devarpan Chakraborty
Gauteng
6
209
thabelo
Gauteng
6
214
User
Gauteng
6
215
Mauritz Z
iTjhingalanga-Kapa
6
217
User
Gauteng
6
218
User
Gauteng
6
220
Wimstrydom
iTjhingalanga-Kapa
6
221
User
Gauteng
6
223
User
Gauteng
6
224
User
Gauteng
6
225
User
Gauteng
6
226
Nadia Deale
iTjhingalanga-Kapa
6
227
User
Gauteng
6
229
User
Gauteng
6
232
User
Gauteng
6
234
User
Gauteng
6
235
User
Gauteng
6
236
Richard Brenchley
Gauteng
6
237
User
Gauteng
6
238
User
Gauteng
6
240
User
Gauteng
6
244
User
Gauteng
6
246
User
Gauteng
6
249
Ilze Kluin
Gauteng
5
251
Timothy Twelves
Gauteng
5
254
Tihan Jansen van Rensburg
iTjhingalanga-Kapa
5
256
User
Gauteng
5
257
User
Gauteng
5
258
User
Gauteng
5
260
User
Gauteng
5
261
User
Gauteng
5
262
User
Gauteng
5
264
Pure T00T
iTjhingalanga-Kapa
5
267
User
Gauteng
5
268
User
Eastern Cape
5
269
tlotliso ledwaba
iTjhingalanga-Kapa
5
270
User
Gauteng
5
272
User
Gauteng
5
274
User
Gauteng
5
278
User
Gauteng
4
280
User
Gauteng
4
283
User
Gauteng
4
285
User
Gauteng
4
287
User
Gauteng
4
291
User
Gauteng
4
292
User
Gauteng
4
296
User
Gauteng
4
297
User
Gauteng
4
300
User
Gauteng
4
302
User
Gauteng
4
304
User
Gauteng
4
305
User
Gauteng
4
307
User
Gauteng
4
308
User
Gauteng
4
309
Raume
GaZulu-Natala
4
313
User
Gauteng
4
314
User
Gauteng
4
315
User
Gauteng
4
316
User
Gauteng
4
320
User
Gauteng
3
322
User
Gauteng
3
323
User
Limpopo
3
325
User
Gauteng
3
327
User
Gauteng
3
328
User
Gauteng
3
329
User
Gauteng
3
331
User
Gauteng
3
334
User
Gauteng
3
335
User
Gauteng
3
338
User
Gauteng
3
339
User
Gauteng
3
343
James Gray
iTjhingalanga-Kapa
3
344
User
Gauteng
3
346
User
Gauteng
3
347
User
Gauteng
3
348
User
Foreisetata
3
349
User
Gauteng
3
353
User
Eastern Cape
3
354
Keannu
GaZulu-Natala
3
355
User
Gauteng
3
357
User
Gauteng
3
358
Basil Dlamini
Gauteng
3
359
User
Gauteng
3
361
User
Gauteng
3
362
User
Gauteng
3
365
mfundo makanda
iTjhingalanga-Kapa
3
367
User
Gauteng
3
368
User
Foreisetata
3
370
User
Gauteng
3
372
User
Gauteng
3
373
User
Gauteng
3
376
User
Gauteng
3
380
Basetsana Sekhaolelo
iTjhingalanga-Kapa
3
381
User
Gauteng
3
383
User
Gauteng
2
385
User
Gauteng
2
392
User
Gauteng
2
394
User
Gauteng
2
395
User
Gauteng
2
396
User
Gauteng
2
397
User
Foreisetata
2
398
User
Gauteng
2
399
User
Gauteng
2
400
User
Eastern Cape
2
402
User
Gauteng
2
404
User
Gauteng
2
405
User
Gauteng
2
406
User
Gauteng
2
407
User
Gauteng
2
408
User
Gauteng
2
409
User
Gauteng
2
410
User
Gauteng
2
411
User
Gauteng
2
412
User
Gauteng
2
413
User
Gauteng
2
416
User
Gauteng
2
417
User
Gauteng
2
419
User
Gauteng
2
420
User
Gauteng
2
421
User
Eastern Cape
2
422
Jaiden Naidoo
Gauteng
2
423
User
Gauteng
2
424
User
Gauteng
2
426
User
Gauteng
2
429
User
Gauteng
2
431
User
Gauteng
2
432
User
Gauteng
2
434
User
Gauteng
2
435
User
Gauteng
2
436
User
Gauteng
2
441
User
Gauteng
2
443
User
Gauteng
2
444
User
Gauteng
2
446
User
Gauteng
2
450
User
Gauteng
1
451
User
Gauteng
1
452
User
Gauteng
1
453
User
Gauteng
1
454
izelda nel
Gauteng
1
456
User
Gauteng
1
458
User
Gauteng
1
459
User
Eastern Cape
1
460
User
Gauteng
1
461
User
Limpopo
1
465
User
Gauteng
1
466
User
Gauteng
1
470
User
Gauteng
1
472
Dia Deepraj
iTjhingalanga-Kapa
1
473
Melissa Posthumus
Gauteng
1
474
User
iMpumalanga
1
477
User
Gauteng
1
478
User
Gauteng
1
479
User
Limpopo
1
484
User
Gauteng
1
485
User
Gauteng
1
487
User
Gauteng
1
491
User
Gauteng
1
492
User
Gauteng
1
493
User
Gauteng
1
494
User
Eastern Cape
1
495
User
Gauteng
1
496
User
Gauteng
1
498
User
Gauteng
1
499
User
Eastern Cape
1
501
User
Foreisetata
1
502
User
Gauteng
1
503
User
Gauteng
1
504
User
Gauteng
1
507
User
Gauteng
1
508
Jemma
Gauteng
1
510
User
Gauteng
1
511
User
Gauteng
1
512
User
Gauteng
1
515
User
Gauteng
1
516
User
Gauteng
1
517
User
iMpumalanga
1
519
User
Gauteng
1
521
User
Limpopo
1
523
User
Gauteng
1
524
User
Gauteng
1
526
User
Gauteng
1
527
User
Gauteng
1
528
User
Gauteng
1
529
User
Gauteng
1
530
User
Gauteng
1
531
User
Gauteng
1
532
User
Gauteng
1
536
User
Gauteng
1
537
User
Gauteng
1
538
User
Gauteng
1
541
User
Gauteng
1
542
User
Eastern Cape
1
543
User
Gauteng
1
544
User
Gauteng
1
545
User
Gauteng
1
546
k@thehunters.co.za
iTjhingalanga-Kapa
1
549
User
Gauteng
1
550
User
Gauteng
1
552
User
Gauteng
1
553
User
Gauteng
1
558
User
Eastern Cape
1
561
User
Gauteng
1
562
User
Gauteng
1
564
User
Foreisetata
1
565
User
Gauteng
1
566
User
Gauteng
1
568
User
Gauteng
1
569
User
Gauteng
1
570
User
Gauteng
1
571
User
Gauteng
1
572
Adam Luyt
Eastern Cape
1
573
User
Gauteng
1
575
User
Gauteng
1
576
User
Gauteng
1
580
User
Gauteng
1
581
User
Gauteng
1
582
User
Gauteng
1
583
User
Gauteng
1
584
User
Gauteng
1
586
User
Gauteng
1
587
User
Gauteng
1
588
louis muller
Gauteng
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