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Rank
Level
1
User
Bicol
86
3
User
Region
78
6
User
Calabarzon
64
8
Raezelle Ramos
Calabarzon
62
9
Eliana Patio
Sambales
62
11
Rcjot Rcappy
Davao
58
19
User
Calabarzon
51
20
User
Calabarzon
51
21
Julien Olasiman
Central Visayas
51
24
ken oira
Bicol
50
26
Keisha Aranda
National Capital Region
49
35
User
Calabarzon
45
36
User
Region
45
37
Lucas De Venecia
National Capital Region
44
38
User
Calabarzon
44
43
User
Davao
42
45
User
Ilocos
42
46
User
Calabarzon
42
48
User
Calabarzon
41
52
User
Davao
40
53
meeks
Calabarzon
40
56
User
Region
39
57
User
Region
39
58
Jerome Evangelista
Region
39
59
User
Region
39
62
User
Calabarzon
38
66
Adrielle Rein
Benget
38
71
LolTreeMan LTM
National Capital Region
35
72
User
Calabarzon
35
73
User
Davao
35
82
User
Region
34
83
User
Calabarzon
33
87
User
Region
32
88
Mirafuente Mark Rayden C
Region
32
90
User
Calabarzon
31
101
User
Davao
29
103
Charyl Ann Villaver
Region
29
104
User
Region
29
108
bhernan buenagua
National Capital Region
28
109
Ser Patrick de Dios
National Capital Region
28
110
User
Region
28
122
User
Region
26
124
User
Calabarzon
25
128
User
Calabarzon
25
129
maurice lim
Central Luzon
25
130
User
Region
25
131
User
Region
25
134
seonshine
Calabarzon
24
135
User
Region
24
136
Julien Olasiman
Region
24
138
Iron Trusty Miner
Central Luzon
23
141
User
Central Luzon
23
143
User
Region
23
152
User
Calabarzon
22
154
User
Region
22
155
Rafael Abenido
National Capital Region
21
163
User
Ilocos
21
165
User
Calabarzon
21
166
User
Region
21
167
User
Region
21
171
JULIEN OLASIMAN
Central Visayas
20
172
Silas Chiew
Davao
20
174
User
Calabarzon
20
176
User
Davao
20
179
User
Davao
20
181
Xianzhang "Jack" Liu
National Capital Region
20
182
User
Central Luzon
20
186
User
Cavite
20
187
teknologike
Central Visayas
19
191
User
Davao
19
192
User
Calabarzon
19
194
User
Central Luzon
19
197
User
Calabarzon
19
200
Mathew Paglinawan
National Capital Region
19
201
User
Region
19
214
User
Calabarzon
18
215
Sheen Estevez
Region
18
216
User
Region
18
217
User
Region
18
225
User
Calabarzon
17
227
User
Central Luzon
17
229
User
Central Luzon
17
234
User
Region
17
235
User
Region
17
237
Charlene Roxas
National Capital Region
16
246
User
Calabarzon
16
247
User
Central Luzon
16
248
User
Davao del Sur
16
249
User
Region
16
250
User
Region
16
251
User
Region
16
252
User
Calabarzon
15
255
Justin Chris Loriega
Central Visayas
15
261
User
Calabarzon
15
267
User
Calabarzon
15
269
User
Calabarzon
15
270
User
Pampanga
15
271
User
Region
15
272
Ryan Niño Javier
National Capital Region
14
277
User
Calabarzon
14
278
User
Calabarzon
14
284
User
Region
14
285
User
Cavite
14
294
User
Central Luzon
13
296
User
Region
13
297
Lorenz Victor Coriage
National Capital Region
12
300
User
Central Luzon
12
308
User
Calabarzon
12
310
User
Calabarzon
12
313
User
Region
12
314
User
Region
12
315
User
Cavite
12
316
User
Region
12
318
User
Calabarzon
11
323
Allen Plays
Calabarzon
11
329
Erica Lorenzo
National Capital Region
11
330
User
Calabarzon
11
336
User
Central Luzon
11
337
User
Region
11
338
User
Davao del Sur
11
344
User
Ilocos
10
346
User
Calabarzon
10
347
hatchi
Calabarzon
10
352
User
Davao
10
353
User
Ilocos
10
356
User
Calabarzon
10
357
User
Region
10
358
User
Region
10
359
User
Cebu
10
360
User
Region
10
361
User
Davao del Sur
10
362
User
Cebu
10
363
User
Mimaropa
9
366
User
Calabarzon
9
369
User
Calabarzon
9
372
User
Calabarzon
9
374
User
Davao
9
379
User
Calabarzon
9
382
Ace Life
Calabarzon
9
384
Raphael Deguito
Region
9
385
User
Region
9
393
fuckboy
Calabarzon
8
398
User
Calabarzon
8
400
User
Davao
8
406
kim Seongjin
National Capital Region
8
409
User
Region
8
410
Damien Jones
Region
8
411
User
Region
8
412
User
Region
8
417
User
Calabarzon
7
426
User
Calabarzon
7
429
User
Davao
7
437
User
Calabarzon
7
438
User
Region
7
439
User
Region
7
440
User
Region
7
441
User
Pampanga
7
442
User
Benget
7
443
User
Region
7
444
User
Region
7
451
User
Calabarzon
6
455
User
Ilocos
6
456
User
Calabarzon
6
467
User
Calabarzon
6
468
User
Cavite
6
469
User
Cebu
6
470
User
Region
6
475
User
Calabarzon
5
476
User
Calabarzon
5
479
Chris Alden Carreon
National Capital Region
5
481
User
Calabarzon
5
482
User
Calabarzon
5
485
User
Calabarzon
5
489
User
Calabarzon
5
491
User
Calabarzon
5
492
Franklin Lee
National Capital Region
5
496
User
Davao
5
498
User
Calabarzon
5
507
Cemara Perdana
National Capital Region
5
514
User
Region
5
515
User
Region
5
516
User
Sambales
5
521
Mylene Enriquez
National Capital Region
4
526
User
Calabarzon
4
529
Wynlie Ann Maljato
National Capital Region
4
530
User
Region
4
539
User
Calabarzon
4
540
User
Calabarzon
4
541
User
Davao
4
554
User
Calabarzon
4
556
User
Cebu
4
557
User
Region
4
558
User
Region
4
559
User
Region
4
560
User
Region
4
563
User
Davao
3
568
User
Davao
3
585
User
Davao
3
588
User
Calabarzon
3
590
User
Calabarzon
3
591
User
Calabarzon
3
592
User
Calabarzon
3
593
User
Calabarzon
3
594
User
Calabarzon
3
595
Carole Monteloyola
National Capital Region
3
605
User
Calabarzon
3
606
User
Calabarzon
3
616
User
Davao
3
619
User
Calabarzon
3
620
User
Davao
3
622
User
Region
3
623
User
Region
3
624
User
Region
3
625
User
Region
3
626
User
Region
3
627
User
Region
3
629
User
Region
3
630
User
Region
3
631
User
Region
3
633
User
Calabarzon
2
638
User
Calabarzon
2
647
User
Davao
2
648
User
Davao
2
657
User
Calabarzon
2
661
Sephiesogorg
National Capital Region
2
664
User
Davao
2
667
User
Mimaropa
2
669
Julius Yerro
National Capital Region
2
676
User
Calabarzon
2
680
User
Calabarzon
2
682
User
Caraga
2
692
User
Calabarzon
2
694
User
Calabarzon
2
697
User
Calabarzon
2
701
User
Calabarzon
2
703
User
Calabarzon
2
710
User
Calabarzon
2
712
User
Davao
2
713
User
Calabarzon
2
718
User
Pampanga
2
719
User
Region
2
720
User
Region
2
721
User
Region
2
722
User
Region
2
723
User
Region
2
724
User
Region
2
725
User
Region
2
726
User
Region
2
727
User
Region
2
728
User
Region
2
729
User
Region
2
730
User
Cebu
2
731
User
Region
2
732
User
Region
2
733
User
Region
2
734
User
Iloilo
2
735
User
Region
2
736
User
Region
2
737
User
Region
2
738
User
Region
2
740
User
Region
2
741
User
Region
2
742
User
Region
2
743
User
Region
2
744
User
Region
2
745
User
Benget
2
746
User
Pampanga
2
748
User
Davao
1
758
User
Davao
1
764
User
Calabarzon
1
769
User
Davao
1
770
User
Calabarzon
1
772
erick estrada
Region
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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