20 Surprisingly Easy Ways to Solve Math Problems

Updated: Jun 15, 2021

Just this word will bring shivers down your spine and make you wonder about your whole existence.


We face math everywhere in life, from the day we are born to the final numbers carved in our tombs. In between these stages though, many people put way too much effort and lose valuable time trying to solve math problems which they encounter almost everywhere.


That is why we came up with an idea!

Why not write a blog, which will make solving math problems much easier for you. Following these tips will turn you from a frightened baby chipmunk to the alpha gorilla of mental math. All in barely just 10 minutes of your reading time. Don’t believe us? Let’s jump right in so you can prove us wrong:


1. Large Number Addition Trick



Large Number Addition Trick

This trick aims to solve math problems involving addition by simply adding the highlighted numbers, in descending order. With enough practice, you can use this trick without pen and paper – and simply just use your brain.





2. Finding square of numbers with the last digit 5



How to find the square numbers with the last digit 5

This trick saves you a lot of time from doing the multiplication on your own. It is essentially playing with the numbers you are given and ending in the correct result. A perfect way to solve math problems that include square numbers with the last digit 5 (my favorite number - many tricks involving this magical number)! If we had a gun to pointed at our head and were asked to explain these tricks in 4 steps, this how we would do it:

  • Step 1: Add up 1 to the digit next to five

  • Step 2: Multiply the result from step 1 with the digit itself

  • Step 3: Find the square of 5

  • Step 4: The result will be the concatenation of the result of the multiplication and the square of 5, in the order listed in the step



3. Subtracting numbers from 1000


The idea behind this trick is to subtract the last digit of the subtrahend is subtracted from 10 and the rest from 9. This is a great tip when aiming to solve math problems that involve subtracting any number from 1000. This is is how the trick goes:



How to subtract numbers from 1000


Step 1: Subtract the last digit of subtrahend from 10

Step 2: Subtract second to last digit from 9

Step 3: Repeat step 2 for every digit left of the subtrahend






4. Multiplication of two-digit numbers


The idea behind this is to minimalize brain work in solving it the long way method. In this method, we work with finding the digits directly instead of having to add two different multiplication results which take time. This is how you solve math problems involving multiplications of two-digit numbers



How to multiply two-digit numbers

Step 1: Multiply the first digits of the factors being multiplied

Step 2: Cross multiply the digits of the numbers (first digit of one number with the second digit of the second number, and the remaining with each other) and add them.

If the result is double-digit then add the first digit with the result from step 1 to get the first digit of the final result and the second digit is the second digit of the final result

Step 3: Multiply the second digits of the factors being multiplied and you get the last digit of the final result



5. Solving Math Problems by finding the percentage of a number


This trick shows us a shortcut to find a percentage of a number by using an easily findable percentage. Steps from the example are the following:



How to Solv Math Problems by finding the percentage of a number


Step 1: We find 10% of the number, which we know is just the number with a comma placed a position further starting from right to left. (235.0 to 23.5)

Step 2: Divide the result from step 1 by two to get the final result








6. Multiplication of even numbers by 5


Here we will see that the process is something that should be intuitive but will catch you by surprise. However, you will find it very useful in saving time and solve math problems in a much faster way. The process can be summed up in two simple steps:



Multiplication of even numbers by 5


Step 1: We divide the number by two

Step 2: We add a 0 to the result of the division as the last digit of the number to get our final result.






7. Multiplication of odd numbers by 5


Another fantastic way to solve math problems, involving the number 5. The trick here is similar to trick number 6, with one slight difference. Here is the deal:



Multiplication of odd numbers by 5

Step 1: Subtract 1 from the number given

Step 2: We divide the number by two

Step 3: We add a 5 to the result of the division as the last digit of the number to get our final result.






8. Finding a fraction of a number


This is simply following basic rules of multiplication by fractions but in a much simpler way. The steps for solving math problems including this pattern are the following:



How to find a fraction of a number


Step 1: Divide the given number by the denominator

Step 2: Multiply the result obtained in step 1 with the nominator and thus obtaining the final result.







9. Addition of big numbers


The main idea behind this trick is to solve math problems with numbers that are multiples of 10 for an easier addition process. Here is a thorough list of steps that you can automatically solve without a pen and paper (or calculator - for that matter)!



Addition of big numbers


Step 1: Add a number to each part of the addition to get them to reach the nearest multiple of 10

Step 2: Add up the results from the additions in step one

Step 3: Add up the numbers which you added to the initial numbers part of the addition together

Step 4: Subtract the result you got in step 3 from the result you got in step 2 to obtain the final result



10. Multiplication of numbers with 11


This will be your favorite and the easiest one so far. Check out how it rolls (so smoothly!!)


Multiplication of numbers with 11

Step 1: First and last digit of the number being multiplied by 11 will be the first and last digit of the result correspondingly

Step 2: The middle digit of the result will be the addition of the digits of the number being multiplied by 11





11. Subtraction of fractions


Subtraction of fractions is one of the most annoying parts of solving math problems.

Calculating the result of each fraction and then the result of their subtraction would take a long time, so we present to you a much shorter and precise way to do it.



Subtraction of fractions

Step 1: Cross multiply denominators with nominators

Step 2: Multiply the denominators with each other

Step 3: Subtract the result of the multiplication of the nominator of the minuend by the result of the multiplication of the denominator of the minuend

Step 4: The result of the subtraction in step 3 is the nominator of the final result and the result of multiplication in step two is the nominator of the final result.




12. Multiplication of 2 digit numbers


Below we will introduce to you a much finer way to multiply 2 digit numbers, and solve math problems that involve 2 digits:


Multiplication of 2 digit numbers

Step 1: Subtract each factor of the multiplication from 100

Step 2: Sum up the results of subtraction results from step 1

Step 3: Subtract the result from step 2 from 100 (this will be the first 2 digits of the final result

Step 4: Multiply results from step 1 together (this result will be the last 2 digits of the final result.






13. Multiplying by 12


In this trick, you will see how easy this multiplication can be. Equipped with this superpower you can solve math problems with the multiplication of number 12 way faster (and smarter)!


Multiplying by 12
  • The first digit of the result when multiplying by 12 (when the result of the multiplication of the number you are multiplying 12 with is not a double-digit) will be the number itself. The second digit will be the result of the number multiplied by 2.

  • The first digit of the result when multiplying by 12 (when the result of the multiplication of the number you are multiplying 12 with is a double-digit) will be the number plus the first digit of the result when multiplying that number by 2. The second digit will be the second digit of the result of the number multiplied by 2.


14. Multiplying by 7


Multiplying by 7

As can be seen from the picture we create two tables. One of them has numbers from 0 to 6 with a repetition of 2 and 4 (consecutively to each other) and the second table has numbers from 1 to 9 starting from up right up to down left by traversing the rows in a different direction every different column.


The first table represents the first digits of the final results and the second table represents the second digits of the final results. This leading to the final table as shown in the picture which is a concatenation of the tables.




15. Square of large numbers

Find square of large numbers

Ever wondered any shortcuts on how to find the squares of large numbers (easily - simply with mental math?) Well, here is a little present for you:


Step 1: We add up the last digit of the number with the number itself. These will be the first digits of the final result.

Step 2: The square of the last digit of the number will be the last digits of the final result.







16. Multiplication made easier


This little trick right here will make you shed a tear! Since when was multiplication supposed to be made easier? Well, starting from now! You can thank the HFX Assignment Solver for solving math problems in such a stylish fashion!



Multiplication made easier


Step 1: Draw a table as seen in the figure. The headings of the columns will be the digits of the first factor and the headings of the rows will be the digits of the second factor.

Step 2: Within the triangles of the boxes you will put the digits of the multiplication of the first digit of the first factor with the second factor (first digit of the second factor if it has more than 1 digit). The upper triangle holds the first digit of that result and the lower one the second.

Step 3: We add the results of the digits in the way that can be seen in the figure and thus we obtain our final result.



17. Division by 9


Learn how to divide any number by 9


Step 1: We start with the first digit of the minuend as the first digit of the final result.

Step 2: We add the consecutive digit to the one we just set, obtain this way the next digit of the final result.

Step 3: We repeat step 2 until the last digit is obtained

Caution: if one of the digits obtained or the final result after the addition, is 9, then we add a one to the last digit we had for our result.




18. Solving equations


This dirty little secret will show you the right way to solve math problems with complicated equations in it:


how to solve equations


Step 1: Rewrite every operation in front of every coefficient in its opposite form (e.g. multiplication as division, addition as subtraction)

Step 2: remove x from the equation temporarily for your own ease of thinking.

Steps 3: Take the right part of the equation (outcome) through every operation you rewrote in step 1, from right to left.

The result of step 3 will be the result of x.




19. Finding factorial


How to find the factorial number you ask? Well here is how we reply - Multiply all natural numbers from 1 up to the number (and including) the number, whose factorial you are trying to find.


Too complicated in words? Let us guide you step-by-step to how this unfolds in action:



How to find factorial

20. Obtaining 6 as a result by using arithmetic operations on 3 of every number from 1 to 9


The figure shown here displays different operations that one can use between 3 different numbers of the same value.



Obtain 6 as a result by using arithmetic operations on 3 of every number from 1 to 9

  • For number one, it’s the factorial of the sum of 3 1’s.

  • For number 2, it is their addition.

  • For number 3, we multiply two 3’s and then we subtract the third one.

  • For number 4, we add the square root of each of them.

  • For number five it is the addition of a 5 with the division of two 5’s.

  • For number 6, it is the subtraction of the addition of two 6’s by a 6.

  • For number 7 it is the subtraction of a 7 with the division of two 5’s.

  • For number 8, it is the subtraction of the double square root of the addition of two 8 from an 8.

  • For number 9, it is the multiplication of the square root subtracted by square root 9.


Would you like to know more tips on how to solve your assignments the easy way? Join us at KATREXA, and let us help you with that math homework (while you enjoy that night out with your friends!)

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