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Philippines
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Rank
Level
1
Christian Balboa
National Capital Region
100
2
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National Capital Region
87
3
User
Bicol
86
7
User
Region
78
17
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National Capital Region
74
32
User
Calabarzon
64
34
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Calabarzon
62
35
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Sambales
62
38
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National Capital Region
59
41
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Davao
58
42
kl
Davao
57
54
User
Calabarzon
51
55
User
Calabarzon
51
56
User
Calabarzon
51
57
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Central Visayas
51
60
ken oira
Bicol
50
75
User
Calabarzon
45
76
User
Region
45
78
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National Capital Region
44
79
User
Calabarzon
44
81
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Calabarzon
43
88
User
Davao
42
90
User
Ilocos
42
91
User
Calabarzon
42
94
User
Calabarzon
41
99
User
Davao
40
100
meeks
Calabarzon
40
103
User
Region
39
104
User
Region
39
105
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Region
39
106
User
Region
39
113
User
Calabarzon
38
117
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Benget
38
121
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Calabarzon
35
122
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Central Luzon
35
125
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National Capital Region
35
126
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Calabarzon
35
127
User
Davao
35
138
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Region
34
139
User
Central Luzon
33
141
John E
Central Luzon
33
142
User
Calabarzon
33
143
Dapper 0989
National Capital Region
33
147
User
Region
32
151
User
Calabarzon
31
152
User
Central Luzon
31
160
Jana Banana
National Capital Region
29
162
User
Central Luzon
29
166
User
Davao
29
168
Charyl Ann Villaver
Region
29
169
User
Region
29
175
bhernan buenagua
National Capital Region
28
176
Ser Patrick de Dios
National Capital Region
28
177
User
Region
28
179
User
Calabarzon
27
192
User
Region
26
194
User
Calabarzon
25
198
User
Calabarzon
25
199
maurice lim
Central Luzon
25
200
User
Region
25
201
User
Region
25
206
seonshine
Calabarzon
24
207
User
Region
24
208
Julien Olasiman
Region
24
212
Anna Brunner
National Capital Region
23
214
Iron Trusty Miner
Central Luzon
23
217
User
Central Luzon
23
219
User
Region
23
231
User
Calabarzon
22
233
User
Region
22
237
Rafael Abenido
National Capital Region
21
245
User
Ilocos
21
247
User
Calabarzon
21
248
User
Region
21
249
User
Region
21
254
JULIEN OLASIMAN
Central Visayas
20
255
Silas Chiew
Davao
20
257
User
Calabarzon
20
259
User
Davao
20
262
User
Davao
20
264
User
Central Luzon
20
268
User
Cavite
20
269
User
Central Luzon
19
272
User
Calabarzon
19
273
teknologike
Central Visayas
19
277
User
Davao
19
278
User
Calabarzon
19
280
User
Central Luzon
19
283
User
Calabarzon
19
286
Mathew Paglinawan
National Capital Region
19
287
User
Region
19
290
Xianzhang "Jack" Liu
National Capital Region
18
303
User
Calabarzon
18
304
Sheen Estevez
Region
18
305
User
Region
18
306
User
Region
18
307
Ya Ni
Ilocos
17
316
User
Calabarzon
17
318
User
Central Luzon
17
320
User
Central Luzon
17
325
User
Region
17
326
User
Region
17
328
Justin Chris Loriega
Central Visayas
16
335
Charlene Roxas
National Capital Region
16
344
User
Calabarzon
16
345
User
Central Luzon
16
346
User
Davao del Sur
16
347
User
Region
16
348
User
Region
16
349
User
Region
16
355
User
Calabarzon
15
363
User
Calabarzon
15
369
User
Calabarzon
15
371
User
Calabarzon
15
372
User
Pampanga
15
373
User
Calabarzon
14
375
User
Calabarzon
14
379
User
Calabarzon
14
380
User
Calabarzon
14
382
Ryan Niño Javier
National Capital Region
14
387
User
Calabarzon
14
388
User
Calabarzon
14
394
User
Region
14
395
User
Cavite
14
397
User
Calabarzon
13
398
User
Calabarzon
13
399
Enrico Gutierrez
National Capital Region
13
401
Patricia Elaine Espiritu
Central Visayas
13
410
User
Central Luzon
13
412
User
Region
13
414
Lorenz Victor Coriage
National Capital Region
12
417
User
Central Luzon
12
425
User
Calabarzon
12
427
User
Calabarzon
12
430
User
Region
12
431
User
Cavite
12
432
User
Region
12
437
User
Calabarzon
11
443
User
Calabarzon
11
453
Erica Lorenzo
National Capital Region
11
454
User
Calabarzon
11
459
User
Central Luzon
11
460
User
Region
11
461
User
Davao del Sur
11
464
User
Calabarzon
10
465
Jerome Quiambao
Central Luzon
10
470
User
Calabarzon
10
471
User
Calabarzon
10
478
User
Ilocos
10
480
User
Calabarzon
10
481
hatchi
Calabarzon
10
486
User
Davao
10
487
User
Ilocos
10
490
User
Calabarzon
10
491
User
Region
10
492
User
Region
10
493
User
Cebu
10
494
User
Region
10
495
User
Davao del Sur
10
496
User
Cebu
10
499
User
Calabarzon
9
500
User
Calabarzon
9
509
User
Mimaropa
9
512
User
Calabarzon
9
515
User
Calabarzon
9
518
User
Calabarzon
9
520
User
Davao
9
525
User
Calabarzon
9
528
Ace Life
Calabarzon
9
530
Raphael Deguito
Region
9
531
Elise Esteban
National Capital Region
8
532
User
Calabarzon
8
533
User
Calabarzon
8
534
User
Bicol
8
546
fuckboy
Calabarzon
8
551
User
Calabarzon
8
553
User
Davao
8
559
kim Seongjin
National Capital Region
8
562
User
Region
8
563
Damien Jones
Region
8
564
User
Calabarzon
7
567
User
Calabarzon
7
579
User
Calabarzon
7
588
User
Calabarzon
7
591
User
Davao
7
599
User
Calabarzon
7
600
User
Region
7
601
User
Region
7
602
User
Region
7
603
User
Pampanga
7
604
User
Benget
7
605
User
Region
7
606
User
Region
7
612
User
Calabarzon
6
614
User
Calabarzon
6
620
User
Calabarzon
6
623
User
Bicol
6
624
User
Davao
6
625
Michael Judrick Aringo
National Capital Region
6
635
User
Calabarzon
6
639
User
Ilocos
6
640
User
Calabarzon
6
651
User
Calabarzon
6
652
User
Cavite
6
653
User
Cebu
6
654
User
Region
6
657
User
Calabarzon
5
660
User
Calabarzon
5
667
User
Calabarzon
5
673
User
Calabarzon
5
674
User
Calabarzon
5
680
User
Calabarzon
5
681
User
Calabarzon
5
684
Chris Alden Carreon
National Capital Region
5
686
User
Calabarzon
5
687
User
Calabarzon
5
690
User
Calabarzon
5
694
User
Calabarzon
5
696
User
Calabarzon
5
697
Franklin Lee
National Capital Region
5
701
User
Davao
5
703
User
Calabarzon
5
712
Cemara Perdana
National Capital Region
5
719
User
Region
5
722
User
Davao
4
723
User
Calabarzon
4
726
Allen Plays
Calabarzon
4
729
User
Calabarzon
4
730
Seo Yeon Cho
National Capital Region
4
735
User
Calabarzon
4
736
User
Calabarzon
4
739
Mylene Enriquez
National Capital Region
4
744
User
Calabarzon
4
747
Wynlie Ann Maljato
National Capital Region
4
756
User
Calabarzon
4
757
User
Calabarzon
4
758
User
Davao
4
771
User
Calabarzon
4
773
User
Cebu
4
774
User
Region
4
775
User
Region
4
777
User
Calabarzon
3
779
User
Davao
3
780
User
Calabarzon
3
781
User
Calabarzon
3
784
User
Calabarzon
3
792
User
Davao
3
797
User
Davao
3
814
User
Davao
3
817
User
Calabarzon
3
819
User
Calabarzon
3
820
User
Calabarzon
3
821
User
Calabarzon
3
822
User
Calabarzon
3
823
User
Calabarzon
3
824
Carole Monteloyola
National Capital Region
3
834
User
Calabarzon
3
835
User
Calabarzon
3
845
User
Davao
3
848
User
Calabarzon
3
849
User
Davao
3
851
User
Region
3
852
User
Region
3
853
User
Region
3
854
User
Region
3
855
User
Region
3
856
User
Region
3
858
User
Region
3
859
User
Region
3
860
User
Region
3
863
Moises
Calabarzon
2
881
User
Calabarzon
2
886
User
Calabarzon
2
894
User
Davao
2
895
User
Davao
2
904
User
Calabarzon
2
908
Sephiesogorg
National Capital Region
2
911
User
Davao
2
914
User
Mimaropa
2
916
Julius Yerro
National Capital Region
2
923
User
Calabarzon
2
927
User
Calabarzon
2
929
User
Caraga
2
939
User
Calabarzon
2
941
User
Calabarzon
2
944
User
Calabarzon
2
948
User
Calabarzon
2
950
User
Calabarzon
2
957
User
Calabarzon
2
959
User
Davao
2
960
User
Calabarzon
2
965
User
Pampanga
2
966
User
Region
2
967
User
Region
2
968
User
Region
2
969
User
Region
2
970
User
Region
2
971
User
Region
2
972
User
Region
2
973
User
Region
2
974
User
Region
2
975
User
Region
2
976
User
Region
2
977
User
Cebu
2
978
User
Region
2
979
User
Region
2
980
User
Region
2
981
User
Iloilo
2
982
User
Region
2
983
User
Region
2
984
User
Region
2
985
User
Region
2
987
User
Region
2
988
User
Region
2
989
User
Region
2
990
User
Region
2
991
User
Region
2
992
User
Benget
2
993
User
Pampanga
2
994
User
Calabarzon
1
995
User
Calabarzon
1
997
User
Calabarzon
1
999
User
Calabarzon
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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