Mental Math Trainer

Mathematics Runs the Universe

When mathematics is omnipresent in our world then mastering the mental math game and being comfortable with numbers will make you a smarter person in all aspects of your life. This is not only true because you will be able to calculate the change you are supposed to receive in a split second when buying bread at the bakery but also because you will be able to determine the tip for the obliging waitress with ease after a delicious dinner.

Not to mention that other people will believe that you are a mental calculator. 'What an impressive person', they will be thinking while they wonder how you have acquired these great skills.

Already our ancestors most likely came up with the idea of counting things. They might have sat around a campfire and counted the number of people in order to figure out how many pieces of fruit they have to collect so that each one of them is satisfied and can enjoy his or her fruit.

You might also have come across counting this way in the very first months or years of your life. You have started counting the number of birds in the trees or you have counted the number of white cars crossing a bridge.

Mathematics is the language of science or differently stated the language of Nature is mathematics. The famous Fibonacci1 sequence first appears in a book written by Fibonacci where the sequence is used to calculate the growth of rabbit populations. In addition, there is a closed-form expression known as Binet’s formula which relates the magic sequence of numbers to the golden ratio. This shows that math is also present in arts.

Wherever you look you can see the presence of mathematics. Flowers have spirals that line up with this sequence of integer numbers. To give another example, seashells form perfect mathematical curves (logarithmic spirals to be precise) originating from their chemical balance.

When it comes to mental calculation, did you know that both our numbers and our fingers are called digits. What a coincidence! The first and simple mental arithmetic tasks are performed with our fingers as aid. Later in (primary) school we used abacus to count to even higher numbers.

What is Mental Math?

Have you ever wondered what mental mathematics is all about? Numbers are needed, they are part of our lives every day, and we typically do not even notice how strongly they are omnipresent in our day-to-day life.

For example, to call a friend, you need a phone number. The time you spent on the phone is measured in numbers of hours, minutes and seconds. Birthday dates are represented as numbers as well. When you want to prepare a dinner and you have invited some guests, you will count the number of people to prepare enough food for everyone. These examples are not exhaustive as there are a lot more but you probably get the point.

You can already see that being comfortable with numbers will make daily life easier and more satisfactory. In addition, being able to memorize numbers or doing simple arithmetic operations with numbers in your head will bring even more ease and will be even more gratifying in your daily routines.

This is not limited to your leisure or recreational time at all. You will also benefit in your professional environment. You can calculate estimates or exact results quickly in your head so you know that there is no typo when using a math solver, math bot, or spread sheet on your personal computer. You are working in a grocery store and you are comfortable calculating the change easily in your head. You are a mathematics teacher and you do math activities at the blackboard without any additional tools.

Example of someone thinking of a mental math problem.
Illustrative example of someone thinking of mental math training. The person thinks of a so-called two-by-two (2by2) and a three-by-one (3by1) multiplication problem. Besides, there is also one-by-one (1by1) and others.

All these reasons have hopefully convinced you that it is good to get better at mental math and arithmetic, be it math multiplication, addition, subtraction, or division. All those topics are important, interesting and worth familiarizing with.

Your Private Online Math Tutor

If you have read so far, you have seen that mastering mental math or being able to do arithmetic calculations in your head will have a crucial impact on your life.

On one hand, you will feel more comfortable solving daily problems on the spot such as calculating the tip for a waitress or estimating the change when buying some bread at the bakery.

On the other hand, if you become an expert in mental math, that is, you can add, subtract, multiply, and divide numbers in your head faster than most people can do with a calculator. Or you can square two-digit, three-digit, or even four-digit numbers fast and without writing anything down on paper, it will make you an artist and you could perform and demonstrate your skills in front of various audiences.

In either case, this web application will help you to practice and improve your abilities in mental math problem solving. It does not matter whether you are a beginner or an advanced mathematician. The math problems are tailor-made so that it is ensured you progress at your pace and level of skill.

Once you are signed up, which is absolutely free of any charge, you can track your improvement with detailed statistical analysis, graphs and charts. It shows your daily activity as well as how you have improved over time. Not to mention that, in case you want to, you can also climb the leaderboard of this math trainer web app to show off your skills to others.

You can see this website as a mathematics teacher that can and will help you to become more comfortable with numbers and do mental calculations with ease. It basically will help you to benefit from knowing mathematics in the modern world and you can see your progress at any point in time.

Since this application is designed as a website it will always be available as soon as you have Internet. Furthermore, you do not have to download or update any software because as soon as there is an improvement it can be directly implemented. You will automatically visit the updated website the next time you want to practice mental math. This makes it also easier to consider and put into effect users' suggestions for improvement which are highly appreciated!

How to Learn and Practice Mental Math

Unfortunately, it is the truth that in order to get better and faster at mental math, it needs practice. There are no shortcuts. Thus, exercising and training on a regular basis are indispensable and essential ingredients that cannot be omitted.

However, just practicing without any proper plan might also not be the most time efficient way to get better. Therefore, here is a breakdown of how to learn and practice mental math:

  1. Learn the basics of how to do mental arithmetic
  2. Repeat, practice, practice, and practice the concepts with the help of a math trainer. This can be best done at
  3. Remember that math is fun: It all (the whole process, that is a. and b. above) should be seen as a cool math game!

The basics of how to do mental math are actually not so complicated and can be broken down into the following steps:

  1. Memorizing mental math tricks

    For instance, multiplying a two-digit number with 11 is as simple as adding the digits of the two-digit number and writing it in between the first and second digit. Here is an example to test it. Let’s say the math problem is 34 x 11. Therefore, the two digits of the two-digit number add up to 3 + 4 = 7. Writing it in between gives us 374 and voilà this is the result. Finally, we obtain 34 x 11 = 374 in a split second. This was very simple, wasn’t it?

  2. Calculating from left to right

    In (primary) school we usually learn it the other way around, but note that this is also done with pen and paper and therefore it is just fine!

  3. Breaking the math problems into smaller less complicated ones

    An example will clarify what is meant. In the addition problem 4 + 18, we break the 18 into 8 and 10. So the math exercise can be calculated as 4 + 8 which is 12, then adding the remaining 10, 12 + 10 which is 22. Finally, we obtain 4 + 18 = 22.

You can also consult resources on the Internet for further information and many mental math strategies. See references below 2–5. By following the steps above, being patient, disciplined, and ambitious, you will eventually get better at mental math. Remember that the learning curve is not always steep where you see daily improvements, it also has plateaus.

This means that despite practicing and exercising arithmetic calculations you do not see immediate amelioration in your statistics and data. These times can range from a couple of days to a couple of weeks or even to a couple of months. Such experiences should not discourage you.

Remember that it is normal and inherent to the learning process of human beings. In addition, what also helps is to find friends who also want to get better at mental math. This way you can share your experiences and motivate each other. Make it a competition if you feel like it but keep in mind that in the end math is fun.

Finally, this website and web app should represent a math learning center for you. Or differently stated it is a math teacher with which (or who) you can do cool math games while casually improving your feel for numbers and calculation skill.

Will Mental Math Boost Your Memory?

One way of prioritizing your cognitive heath is by living a healthy lifestyle. This means that you eat well, exercise physically on a regular basis, socialize, reduce stress and get enough quality sleep. However, there is also the following experts’ opinion: By playing games that exercise parts of your brain which are responsible for doing abstract things such as storing and retrieving information you can boost your memory.

There are different types of memory: Amongst others, there are short-term and long-term memory regions in the brain. Each type of memory activates different parts of the human brain. Games that stimulate these different brain regions will improve your memory.

What is the relation to mental math or mathematics? There are many games which will be of interest in order to boost your memory. One quite old game is chess for example. It involves accurate planning and requires creativity. It also needs problem-solving as well as decision-making skills. Depending on the circumstances, sometimes those mental workouts have to be done under heavy time pressure. Furthermore, chess increases your spatial memory because you have to visualize the board and possible sequences of moves.

When you do arithmetic in your head or practice mental math, the situation is actually quite similar. These kind of math games fulfill all requirements mentioned above in order to boost your memory. On one hand, you have to remember some basics such as addition, subtraction, or multiplication tables. Retrieving the corresponding information when solving a math puzzle activates the long-term memory.

On the other hand, as described above, larger and more difficult problems have to be broken in smaller ones. The results of each smaller problem have to be memorized and used to construct the final math solution. This in turn invokes the usage of short-term memory capacities.

In addition, math problems can oftentimes be solved in different ways as it somewhat depends on how a bigger problem is broken in smaller ones. This creativity requirement further sharpens and activates the memory of your brain.


[1] Fibonacci was a famous Italian mathematician. You can find out more about him and other mathematicians here.

[2] How to Improve Mental Math Skills: wikiHow

[3] Fast Arithmetic Tips: cut-the-knot

[4] Amazing Mental Math Techniques and Tricks: reddit

[5] Mental Calculation: wikipedia