Leaderboard
Norway
Norway
Worldwide
Rank
Level
1
Andreas Forsgren
Romsa
84
2
Hannan
Romsa
64
4
Amogh Manral
Rogaland
52
6
User
Aust-Agder
48
7
User
Oslo
47
8
Sven Diekman
Akershus
46
9
User
Oslo
45
10
Ankit Mishra
Oslo
44
11
User
Oslo
43
12
User
Akershus
41
14
Stig Patey
Oslo
41
15
User
Hordaland
40
16
Yannick Langer
Sogn og Fjordane
39
17
User
Rogaland
38
18
Inter
Rogaland
38
19
And El
Akershus
36
20
Adrian Stal
Oslo
35
21
User
Vestfold
34
23
Anu
Oslo
33
24
Adrian Staalesen
Sør-Trøndelag
32
25
User
Oslo
32
26
User
Oslo
32
28
User
Rogaland
28
29
User
Oppland
28
30
User
Rogaland
28
31
User
Rogaland
28
32
User
Oslo
27
33
User
Oslo
25
34
User
Hordaland
25
35
User
Oslo
25
36
User
Oslo
25
38
User
Akershus
24
39
User
Oslo
24
41
User
Akershus
23
42
User
Oslo
21
44
Lord Babylon
Rogaland
21
45
Håkon Johansen
Oslo
21
46
User
Akershus
21
47
User
Hordaland
21
48
Peter Østergaard
Oslo
21
49
User
Vestfold
20
50
User
Oslo
20
51
User
Oslo
20
52
User
Oslo
20
53
User
Rogaland
20
56
User
Oslo
20
58
User
Akershus
19
59
User
Hordaland
18
60
User
Hordaland
18
61
User
Akershus
18
62
User
Oslo
17
63
User
Akershus
17
64
Anders BV
Oslo
17
65
User
Hordaland
16
67
User
Romsa
15
68
User
Rogaland
15
69
Ss sh
Oslo
15
70
Thor
Rogaland
15
71
User
Akershus
14
72
User
Hedmark
14
73
User
Oslo
14
74
Mashi Maro
Nordland
13
75
User
Nordland
13
78
User
Oslo
13
79
User
Oslo
13
80
User
Oslo
12
81
User
Akershus
12
82
User
Oslo
12
83
User
Oslo
12
84
User
Oslo
11
85
User
Oslo
11
87
Skiltluring
Romsa
11
88
User
Rogaland
11
89
User
Buskerud
11
90
User
Hordaland
10
93
User
Oslo
10
94
User
Rogaland
10
95
User
Oslo
10
97
User
Buskerud
9
98
User
Oslo
9
100
User
Vestfold
9
101
User
Hordaland
9
102
User
Oslo
9
103
User
Oslo
9
104
User
Romsa
9
105
User
Oslo
9
106
User
Buskerud
8
107
Mattias Tofte
Akershus
8
108
User
Oslo
8
109
Sebastian Angeltvedt
Hordaland
7
110
Sai
Rogaland
7
114
User
Oslo
6
115
Christopher Kolle
Rogaland
6
117
User
Buskerud
6
118
Orjan FUS
Sogn og Fjordane
6
119
User
Oslo
6
120
User
Oslo
5
121
User
Hordaland
5
122
User
Buskerud
5
126
Arif Khan
Hordaland
5
128
User
Rogaland
5
129
User
Vestfold
5
130
User
Akershus
5
131
Sai
Oslo
5
132
User
Oslo
4
133
User
Finnmark
4
134
User
Hordaland
4
135
User
Rogaland
4
136
User
Oslo
4
137
User
Østfold
4
139
User
Oslo
4
140
User
Oslo
4
141
User
Telemark
4
142
User
Oslo
4
143
User
Oslo
4
144
User
Hordaland
4
145
User
Finnmark
4
146
User
Østfold
4
147
User
Oslo
4
148
User
Oslo
4
149
User
Hedmark
3
150
User
Akershus
3
151
User
Oslo
3
152
Karma Shake
Oslo
3
153
User
Rogaland
3
155
User
Oslo
3
158
User
Oslo
3
160
User
Rogaland
3
161
User
Telemark
3
162
User
Oslo
3
163
User
Hordaland
3
164
User
Hedmark
3
165
User
Hordaland
3
166
User
Romsa
3
167
User
Vest-Agder
3
168
User
Oslo
3
170
User
Hordaland
3
171
User
Telemark
2
172
User
Oslo
2
173
User
Akershus
2
174
User
Rogaland
2
175
User
Buskerud
2
176
User
Buskerud
2
177
User
Buskerud
2
178
User
Buskerud
2
179
User
Buskerud
2
180
User
Buskerud
2
181
User
Buskerud
2
182
User
Hordaland
2
184
User
Telemark
2
185
User
Rogaland
2
190
User
Hordaland
2
195
User
Oslo
2
197
User
Oslo
2
198
User
Oslo
2
199
User
Rogaland
2
200
User
Telemark
2
202
User
Hordaland
2
203
User
Oslo
2
204
User
Romsa
2
205
User
Oslo
2
206
User
Oslo
1
207
User
Oslo
1
208
User
Akershus
1
209
User
Oslo
1
210
User
Oslo
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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