PDF download Download Article
Plus, discover TikTok-viral mental math tricks!
PDF download Download Article

Math can be cool, complex, and even magical! If you’ve ever wanted to impress your friends with an awesome math trick, show your students the fantastical possibilities of math, or simply improve your own mathematical skills, you’ve come to the right place! We’ve put together a comprehensive list of the best mental math tricks and magical math illusions for any time and any place.

What’s the most mind-blowing math trick?

There are tons of great math tricks out there, but one of the best is the 1089 trick, where you’ll always get the result 1089 by following this set of steps:

  • Pick any 3-digit number where the first and last digits are at least 2 apart (e.g., 235).
  • Reverse the number (e.g., 532).
  • Subtract the first number from the second one (e.g., 532 – 235 = 297).
  • Reverse the result (e.g., 792).
  • Add the subtracted difference and its reversal together (e.g., 297 + 792 = 1089).
2

Credit Card Math Trick

PDF download Download Article
  1. This cool math trick is actually used to validate credit card numbers and catch typos, but you can test it out on your own credit card! Start with a 15- or 16-digit credit card number. Then, starting from the second-to-last digit, move from right to left and double every other digit. Then, add all of the new doubled digits to the digits that were not doubled. If the total sum ends in 0, the card number is correct and valid![1]
    • If, in the first step, your doubling results in any number being greater than 9, add the two digits together to create a single digit example.
    • Example:
      • Let’s say the credit card number is 79927389713.
      • Double every second digit from the right → 6, 1, 5, 8, 6, 7, 4, 9, 9, 7.
      • Add up all the numbers → 7 + 9 + 9 + 4 + 7 + 6 + 9 + 7 + 7 + 2 + 3 = 70.
      • 70 ends with a 0, so this is a valid number!
3

Finger Multiplication

PDF download Download Article
  1. It’s actually super helpful to count on your fingers…at least when it comes to multiplying! To multiply numbers by 9 with this TikTok-viral trick, just place both hands in front of you with your thumbs and fingers extended, says math expert David Jia. If you want to multiply 9 by any one-digit number, continues Jia, count your fingers from the left and fold down the finger that corresponds to the one-digit number. Then, count the fingers on either side of the folded one to get each digit of your answer.[2]
    • Example:
      • Let’s multiply 9 by 5.
      • Fold down your fifth finger from the left (i.e., the thumb of your left hand).
      • Count the number of fingers on the left side of the “fold” (4).
      • Count the number of fingers on the right side of the “fold” (5).
      • Your resulting answer is 45.
  2. Advertisement
4

Grey Elephants From Denmark

PDF download Download Article
  1. Tell a group of friends or students that you’re going to try to read their minds—then, write “grey elephants from Denmark” on a piece of paper, don’t show it to anyone, and place it face down on a table. Then, talk your group through the following prompts, and reveal the sentence on your paper at the end of the activity:[3]
    • Think of a number from 2 to 10.
    • Multiply your number by 9.
    • Add the two digits of your result together.
    • Subtract 5 from your answer.
    • If your answer is 1, it equals A. If it’s 2, it equals B. If it’s 3, it equals C. If it’s 4, it equals D.
    • Think of a country in Europe that begins with your letter.
    • Think of an animal that’s not a bird or a fish that begins with the second letter of your country.
    • Think of the color of your animal.
6

Lightning Calculator Math Trick

PDF download Download Article
  1. Ask someone to secretly write down their Social Security Number (or any 9-digit number), then have them scramble up all the digits and write it down again. If there are any zeroes in their number, have them change them to any other number between 1 and 9. Then, have them copy their nine numbers, in order, next to their original (unscrambled) nine numbers. Now, they’ll have an 18-digit number where the first half is the same as the second half.
    • Now, have them change the second digit of their number to a 7, and change the eleventh digit to a 7.
    • Now, challenge them to a race to see who can figure out the answer to that number divided by 7.
    • If they start trying to divide by hand, you can beat them to it! The answer is always zero, because 7 will always divide exactly into this new number (with nothing left over).
7

Mathematician’s Card Trick

PDF download Download Article
  1. You’ll need a regular, well-shuffled deck of cards for this trick. After shuffling your cards thoroughly, deal 36 cards into a pile, then ask a friend to pick one of the cards, memorize it, and put it back in the pile (without showing it to you). Then, shuffle the 36 cards and lay them out in 6 rows of 6 cards each. Deal each row from left to right. Next, ask your friend to look at the cards and tell them which row their card is in.
    • Then, carefully pick up the cards in the same order you placed them down in.
    • Lay the cards again in 6 rows of 6 cards each, but place them down one column at a time (rather than one row at a time). Place the first six cards in a column from top to bottom, then repeat this process to create six columns from left to right.
    • Again, have your friend look at the cards and tell which row their card is in.
    • Use your friend’s information to ~divine~ their card. For example, if their card was in row 2 and then in row 5, their card is now in the second column of the fifth row.
  2. Advertisement
10

Multiplying By 9

PDF download Download Article
  1. An easy way to remember the multiples of 9 is to use the “minus 1” rule. Let’s say that “N” represents any given number between 1 and 9. If you’re multiplying 9 times N, the tens digit of the result is always N – 1, and both digits will always add up to 9. For example, 9 times 3 is 27. The number 2 is in the tens digit, which is also equal to N – 1 (i.e., 3 – 1). And, 2 + 7 equals 9! Here are the rest of the key multiples of 9:
    • 9 X 1 = 09
    • 9 X 2 = 18
    • 9 X 3 = 27
    • 9 X 4 = 36
    • 9 X 5 = 45
    • 9 X 6 = 54
    • 9 X 7 = 63
    • 9 X 8 = 72
    • 9 X 9 = 81
11

Same Three-Digit Number

PDF download Download Article
  1. Have someone choose any three-digit number where each digit is the same (e.g., 111, 555, 888, etc.). Add up all of the digits within that number to get a sum. Then, divide the original three-digit number by that sum. The answer will ALWAYS be 37—why? The sum of the digits will always be three times the digit itself, and each three-digit number is a multiple of that digit and 111. So, in the last step, you’re canceling out the digit, and you’re left with 111 divided by 3, which is 37![6]
    • Example:
      • Let’s say your number is 333.
      • Add up all the digits → 3 + 3 + 3 = 9.
      • Divide the number by the sum → 333 / 9 = 37.
  2. Advertisement
13

Splitting the Pizza

PDF download Download Article
  1. Let’s say you have a (very) large number of pizza slices and want to know whether or not you can evenly split them amongst your group. You can use some simple division shortcuts (listed below) to do the math in your head! For example, if you have 210 pieces of pizza, you can use the tricks below to figure out that the pizza could be easily divided amongst 2, 3, 5, 6, or 10 people. Here are the shortcuts:[7]
    • Your pizza is divisible by 2 if the last digit is a multiple of 2.
    • Your pizza is divisible by 3 if the sum of the digits is divisible by 3.
    • Your pizza is divisible by 4 if the last two digits are divisible by 4.
    • Your pizza is divisible by 5 if the last digit is 0 or 5.
    • Your pizza is divisible by 6 if it passes the rules for both 2 and 3.
    • Your pizza is divisible by 9 if the sum of the digits is divisible by 9.
    • Your pizza is divisible by 10 if the number ends in a 0.
    • Your pizza is divisible by 12 if it passes the rules for both 3 and 4.
  2. Advertisement
14

The 1089 Trick

PDF download Download Article
  1. The viral 1089 trick always gives you a result of 1089, confirms professional magician Magic Suzy, if you follow a specific routine of switching numbers and using addition and subtraction.[8] To do the trick, pick any 3-digit number where the first and last digits differ by at least 2. Reverse the order of the digits, then subtract the first number from the new (reversed) one. Reverse the result of the subtraction, then add the original subtraction to its reversed version. You should get 1089 as your answer!
    • Example:
      • Let’s start with the number 235.
      • Reverse it → 532.
      • Subtract the two numbers → 532 – 235 = 297.
      • Reverse the result → 792.
      • Add the subtraction & reversal together → 297 + 792 = 1089.
15

The 11 Rule

PDF download Download Article
  1. If you want to easily multiply two-digit numbers by 11 with mental math, this is the trick to do it! Start by separating the two-digit number in your mind. Then, add the two digits together and place the resulting sum between the two digits. If your sum was greater than 9, put the second digit in the in-between space and carry the first digit. This should give the correct multiplication product![9]
    • Example:
      • Let’s calculate 43 x 11.
      • Separate the two-digit number → 4, 3.
      • Add the digits together → 4 + 3 = 7.
      • Place the sum between the two digits → 473.
  2. Advertisement
16

The Answer Is 18

PDF download Download Article
  1. This amazing trick always results in an answer of 18. Ask someone to secretly come up with three different numbers, all of which need to be between 1 and 9. Then, have them write the three numbers down next to each other from largest to smallest to form a single 3-digit number (make sure they don’t show you the number or the paper!). Next, have them reverse the digits, so that the smallest is first and the largest is last. Ask them to write this new number underneath the first one.
    • Then, have them subtract the lower 3-digit number from the upper one, keeping the result a secret.
    • Ask them to then add up the three digits of their result, then tell them that their sum is 18! Because it always will be!
    • Example:
      • Let’s start with 1, 4, and 6.
      • Write the three numbers from largest to smallest → 641.
      • Write them from smallest to largest → 146.
      • Subtract the second number from the first one → 641 – 146 = 495.
      • Add up the three digits of the difference → 4 + 9 + 5 = 18.
17

The Answer Is 2

PDF download Download Article
  1. First, think of any number (or ask someone else to think of a number—but tell them to prepare for their mind to be blown!). Then, multiply it by 3, then add 6, then divide the resulting number by 3. Finally, subtract the original number from your current result. The answer will be 2…because the answer is always 2! This trick works because, in the last step, you’re cancelling out the number you originally came up with. You’re also canceling out a step when you multiply and divide by 3 in separate steps. So, you’re basically just dividing 6 by 3, which will always give you 2![10]
    • Example:
      • Let’s say your number is 10.
      • Multiply the number by 3 → 30.
      • Add 6 → 36.
      • Divide by 3 → 12.
      • Subtract the original number → 12 – 10 = 2.
  2. Advertisement
18

Where’s the String?

PDF download Download Article
  1. Ready to impress everyone you know with some psychic skills? The next time you’re with a group of people, assign each person a number from 1 to whatever the total number of people in the group is. Then, get a piece of string, and tell the group to tie the string onto someone’s finger while you’re out of the room or not looking. Then, tell them that you can divine who has the string, which hand it’s on, and which finger it’s on. To achieve this goal, ask one person in the group to answer the following questions for you:
    • Multiply the number of the person with the string by 2.
    • Add 3 to that result.
    • Multiply by 5.
    • If the string is on the right hand, add 8. If it’s on the left, add 9.
    • Multiply by 10.
    • Add the number of the finger (thumb = 1, index = 2, middle = 3, etc.).
    • Add 2.
    • Have them tell you the answer, then mentally subtract 222. The difference will give you your answer:
      • The rightmost digit corresponds to the finger that the string is on.
      • The middle digit will be 2 if it’s on the left hand, and 1 if it’s on the right hand.
      • The leftmost digit tells you the number of the player who has the string.

Expert Q&A

Ask a Question
200 characters left
Include your email address to get a message when this question is answered.
Submit
Advertisement

Video

Tips

Submit a Tip
All tip submissions are carefully reviewed before being published
Name
Please provide your name and last initial
Thanks for submitting a tip for review!

You Might Also Like

Appear to Read Someone's Mind with Numbers Use Numbers to Pull off Mind-Reading Tricks
Do a Simple Number Mind Trick20 Number Magic Tricks: Read Minds with Math!
Read Someone's Mind With Math (Math Trick)Mastering Mind-bending Math Tricks (An In-depth Guide for Beginners)
Do a Math Magic Trick2 Math Magic Tricks: Guess Someone’s 3-Digit Number or Age
Speed Up Numeric Calculations in MathematicsSpeed Up Numeric Calculations in Mathematics
Use Your Fingers to Do the 9s Times TablesUse Your Fingers to Do the 9s Times Tables
Do a Cool Mathematical Mind Reading TrickDo a Cool Mathematical Mind Reading Trick
Improve Mental Math Skills Do Math in Your Head: Easy Tricks for Mental Calculations
Learn Multiplication Facts Learn and Memorize Multiplication Facts
Learn the 9's on the Multiplication TableLearn the 9's on the Multiplication Table
Do a Cool Calculator Trick4 Mind-Blowing Calculator Tricks
Multiply With Your HandsMultiply With Your Hands
Teach the Multiplication Tables to Your ChildTeach the Multiplication Tables to Your Child
Do a Number Trick to Guess Someone's AgeDo a Number Trick to Guess Someone's Age
Advertisement

About This Article

David Jia
Co-authored by:
Math Tutor
This article was co-authored by David Jia and by wikiHow staff writer, Sophie Burkholder, BA. David Jia is an Academic Tutor and the Founder of LA Math Tutoring, a private tutoring company based in Los Angeles, California. With over 10 years of teaching experience, David works with students of all ages and grades in various subjects, as well as college admissions counseling and test preparation for the SAT, ACT, ISEE, and more. After attaining a perfect 800 math score and a 690 English score on the SAT, David was awarded the Dickinson Scholarship from the University of Miami, where he graduated with a Bachelor’s degree in Business Administration. Additionally, David has worked as an instructor for online videos for textbook companies such as Larson Texts, Big Ideas Learning, and Big Ideas Math.
How helpful is this?
Co-authors: 3
Updated: March 4, 2026
Views: 378
Categories: Mathematics
Thanks to all authors for creating a page that has been read 378 times.

Did this article help you?

Advertisement