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South Africa
South Africa
Worldwide
Rank
Level
1
Kavishaur Dwarika
Gauteng
80
2
User
Gauteng
72
3
User
Gauteng
71
5
User
Gauteng
55
6
Calvin Ferreira
Gauteng
47
7
User
Gauteng
46
8
Gabriela Bold
iTjhingalanga-Kapa
45
11
Liam Thom
Gauteng
42
14
Max Hayes
iTjhingalanga-Kapa
40
15
User
Gauteng
40
16
User
Eastern Cape
40
18
Fedile Kekana
Gauteng
38
19
User
Gauteng
37
20
Jenny
Gauteng
36
21
User
Gauteng
36
23
JOHAN VERMEULEN
Gauteng
35
26
Francois
Gauteng
34
29
User
Gauteng
32
30
Masixole
Gauteng
32
31
User
Gauteng
32
32
User
Gauteng
31
33
User
Gauteng
31
35
Katekani
Gauteng
30
37
User
Gauteng
30
38
Johann van Niekerk
iTjhingalanga-Kapa
29
39
Olivia Hansen
Gauteng
28
40
Gregory Byrnes
Gauteng
28
42
User
Gauteng
26
43
User
Gauteng
26
44
User
Gauteng
25
45
User
Gauteng
25
47
User
Gauteng
25
48
User
Gauteng
25
51
Elizma van Niekerk
Gauteng
24
52
User
Gauteng
23
55
Mateo
Gauteng
22
58
User
Eastern Cape
21
59
Josephine Wiggett
iTjhingalanga-Kapa
21
60
User
Gauteng
21
61
User
Gauteng
21
62
User
Gauteng
21
63
User
Gauteng
21
65
User
Gauteng
21
67
Martin Oosthuizen
Gauteng
21
69
User
Gauteng
21
70
Nadia Deale
iTjhingalanga-Kapa
21
72
User
Gauteng
20
74
User
Eastern Cape
20
75
User
Gauteng
20
77
User
Eastern Cape
20
78
User
Gauteng
19
81
Josh Kaplan
Gauteng
18
84
User
Gauteng
17
85
User
Gauteng
17
86
User
Gauteng
17
88
User
Gauteng
17
91
User
Gauteng
17
92
User
Gauteng
16
93
User
Gauteng
16
96
Devarpan Chakraborty
Gauteng
16
97
Mauritz Z
iTjhingalanga-Kapa
16
100
User
Gauteng
15
102
User
Gauteng
15
103
User
Gauteng
15
104
User
Gauteng
15
105
User
Gauteng
15
106
User
Gauteng
15
109
User
Gauteng
14
110
User
Eastern Cape
14
111
Matt
Gauteng
14
112
User
Gauteng
14
113
User
Gauteng
14
114
User
Gauteng
14
115
User
Gauteng
14
117
User
Gauteng
13
119
User
GaZulu-Natala
13
120
User
Gauteng
13
121
User
Gauteng
13
122
User
Gauteng
13
123
User
Gauteng
12
124
User
Gauteng
12
126
User
Gauteng
12
127
Mia Ravens
iTjhingalanga-Kapa
12
128
User
GaZulu-Natala
12
129
User
Gauteng
12
130
User
Gauteng
12
134
Belinda
iTjhingalanga-Kapa
11
135
User
Gauteng
11
137
Aiden Grove
Gauteng
11
138
Rachel Vickers
iTjhingalanga-Kapa
11
139
User
Gauteng
11
140
Y Sithole
Gauteng
11
144
User
Gauteng
10
147
Clinton Magano
Gauteng
10
148
User
Gauteng
10
151
User
Gauteng
10
152
User
Gauteng
10
153
User
Gauteng
10
154
Ilze Kluin
Gauteng
10
156
User
Gauteng
9
158
User
Gauteng
9
159
User
iMpumalanga
9
160
Wimstrydom
iTjhingalanga-Kapa
9
162
User
Gauteng
9
163
User
Gauteng
9
164
User
Gauteng
9
166
User
Gauteng
9
167
User
Gauteng
9
168
Brittain Walker
Gauteng
8
169
thabelo
Gauteng
8
170
Timothy Twelves
Gauteng
8
172
User
Gauteng
8
173
User
Gauteng
8
174
User
Gauteng
8
175
Raume
GaZulu-Natala
8
177
Richard Brenchley
Gauteng
7
179
User
Gauteng
7
180
User
Gauteng
7
182
User
Eastern Cape
7
186
User
Gauteng
6
187
User
Gauteng
6
188
User
Gauteng
6
190
User
Gauteng
6
191
User
Gauteng
6
195
User
Gauteng
6
197
User
Gauteng
6
199
User
Gauteng
6
200
User
Eastern Cape
6
201
Keannu
GaZulu-Natala
6
203
User
Eastern Cape
6
205
User
Gauteng
5
206
User
Gauteng
5
208
User
Gauteng
5
209
User
Gauteng
5
211
User
Gauteng
5
212
User
Gauteng
5
214
User
Gauteng
5
218
User
Gauteng
5
219
User
Gauteng
5
221
User
Gauteng
5
222
User
Gauteng
5
224
User
Gauteng
5
225
User
Gauteng
5
226
User
Gauteng
5
227
User
Gauteng
5
230
User
Gauteng
4
231
User
Gauteng
4
232
User
Gauteng
4
235
James Gray
iTjhingalanga-Kapa
4
236
User
Gauteng
4
237
User
Gauteng
4
238
User
Gauteng
4
241
User
Gauteng
4
244
mfundo makanda
iTjhingalanga-Kapa
4
246
User
Gauteng
4
250
Basetsana Sekhaolelo
iTjhingalanga-Kapa
4
252
User
Gauteng
4
253
User
Gauteng
4
254
User
Eastern Cape
4
255
User
Gauteng
4
256
Jaiden Naidoo
Gauteng
4
258
User
Gauteng
4
260
User
Gauteng
4
261
User
Gauteng
4
263
User
Gauteng
4
267
User
Gauteng
3
269
User
Gauteng
3
270
User
Gauteng
3
272
User
Gauteng
3
273
User
Gauteng
3
274
User
Gauteng
3
277
User
Eastern Cape
3
278
User
Gauteng
3
279
User
Gauteng
3
280
User
Gauteng
3
281
User
Gauteng
3
284
User
Gauteng
3
287
User
Gauteng
3
290
User
Gauteng
3
291
User
Gauteng
3
293
User
Gauteng
3
294
User
Gauteng
3
296
User
Gauteng
3
297
User
Gauteng
3
298
User
Gauteng
3
299
User
Gauteng
3
300
User
Gauteng
3
301
Ashley Hogan
Gauteng
3
304
User
Region
3
305
User
Gauteng
2
307
User
Gauteng
2
308
User
Gauteng
2
309
User
Gauteng
2
310
User
Gauteng
2
311
izelda nel
Gauteng
2
314
User
Gauteng
2
315
User
Limpopo
2
319
User
Gauteng
2
322
User
Gauteng
2
323
User
iMpumalanga
2
324
User
Gauteng
2
325
User
Gauteng
2
328
User
Gauteng
2
329
User
Eastern Cape
2
330
User
Foreisetata
2
331
User
Gauteng
2
332
User
Gauteng
2
333
User
Gauteng
2
335
User
Gauteng
2
336
User
Gauteng
2
337
User
Gauteng
2
340
User
Gauteng
2
342
User
Gauteng
2
343
User
Gauteng
2
344
User
Gauteng
2
347
User
Gauteng
2
348
User
Gauteng
2
349
User
Gauteng
2
351
User
Gauteng
2
352
User
Gauteng
2
353
User
Gauteng
2
355
User
Gauteng
2
356
User
Gauteng
2
357
User
Gauteng
2
358
User
Gauteng
2
359
User
Gauteng
2
361
User
Gauteng
2
362
User
Gauteng
2
364
User
Eastern Cape
2
368
User
Eastern Cape
2
369
User
Gauteng
2
372
User
Gauteng
1
373
User
Gauteng
1
376
User
Gauteng
1
377
User
Eastern Cape
1
378
User
Gauteng
1
379
User
Gauteng
1
380
User
Gauteng
1
381
k@thehunters.co.za
iTjhingalanga-Kapa
1
383
User
Gauteng
1
384
User
Gauteng
1
387
User
Gauteng
1
392
User
Eastern Cape
1
395
User
Foreisetata
1
396
User
Gauteng
1
397
User
Gauteng
1
399
User
Gauteng
1
400
Adam Luyt
Eastern Cape
1
401
User
Gauteng
1
403
User
Gauteng
1
406
louis muller
Gauteng
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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