5 Math tricks to Amaze your Tutor

Many people are terrified of mathematics. This list may help to improve the general knowledge of mathematical methods and speed up mathematical calculations in your head. This knowledge will help you amaze your math teacher.

Trick #1. Multiplication by 11

We all know that when multiplied by 10 you simply add 0 to the end of the number. But did you know that there is a simple way to multiply two-digit number by 11? Here it is:

Take the original number and imagine a space between two characters (in this example, we use the number 52):


Now add the two numbers and write them down in the middle:


Your answer will be:


If adding the numbers in parentheses obtained a two-digit number, just remember the second number and add one to the first number:




1089 – it always works!

Trick #2. Fast Squaring

This technique helps you quickly square a number that ends in 5. Here is who it goes:

1 – Take the first digit.
2 – Add one to it.
3 – Multiply the result on the first digit by the two digit number.
4 – At the end append 25. That’s it!

252 = ((2+1) x 2) place the first two “25”

2 x 3 = 6

625 – there you go!

Trick #3. Multiplication by 5

Most people memorizes the multiplication table for 5 very easily, but when dealing with large numbers, it gets complicated. Or does it? This technique is incredibly simple.

Take any number, divide by 2 (in other words, divide in half).

If the result is a whole number, assign 0 at the end. If not, do not pay attention to the value on the right side of the decimal point at the end and add 5. It always works:

2682 x 5 = (2682 / 2) & 5 or 0

2682 / 2 = 1341 (integer, so add 0)


Let’s try on another example:

5887 x 5

2943,5 (fractional number, skip the value on the right side of the decimal point, add 5)


Trick #4.  Multiplication by 4 

This is a very simple technique, although evident only for some. The trick is that you just need to multiply by 2, and then multiply by 2 again:

58 x 4 = (58 x 2) + (58 x 2) = (116) + (116) = 232

Trick #5. Complex Multiplications

If you need to multiply large numbers, and one of them – even, you can just rearrange them to get the answer:

32 x 125 is the same as:

16 x 250 is the same as:

8 x 500 ais the same as:

4 x 1000 = 4,000

Lilly Kuleshova

About Lilly Kuleshova

Having worked in hoteling, retail and logistic, learning and growing is an important part of Lilly's philosophy. She is thrilled to make a difference in education now. Lilly has a BA degree in business management. Lilly enjoys cooking, sports and pets in her spare time. In addition she like to travel to exotic place such as Dubai, Goa and Turkey. You can find her on Google+.
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11 Responses to 5 Math tricks to Amaze your Tutor

  1. Dirk Wagner says:

    So, without a calculator: 13 * 11 = 1(1+3)3 = 143… now, I’ve used my calculator. And it’s right. Amazing!

  2. Dirk Wagner says:

    I tried trick #2, fast squaring: 115^2 = 13225.
    If I use Lilly technique I get the following:
    (1+1) x 1 added “25”
    1 added 25
    125 (which is not 13225)

    Howver, when I use the first 2 instead of only the first digits I get the right result:
    (11+1) * 11

    So, Lilly your instructions should be refined to:
    Cut of the last digit. Add one to the cut-off. Multiply the result on the cut-off number. At the end append 25.

  3. hawkeyeaz1 says:

    For multiplying by 5, just mmultiply by 10 (I.e. append a 0 to the end), then divide by 2.

  4. Ian Mallett says:

    Fast squaring, better method:
    a^2 = (a-b)(a+b)+b^2
    So, e.g:
    291 = (291-9)(291+9) + 9^2 = 282*300+81 = 84600+81 = 84681

    With a little practice, you can do this in your head.

    • Lilly says:

      Thank you! I will include your trick in my next article: 5 more Math tricks to amaze your tutor.

  5. John McWib says:

    Well it is a method. Do they always work?

  6. Dhammika says:


  7. john McWib says:


  8. bananahammock says:

    These are pretty elemenary techniques . Been using them since 3rd Grade.

  9. Hey,

    It was my first time reading your blog, about different strategies for teaching.
    I really liked your strategies! Especially the way you are showing the logic and fun there is in the world of mathematics. Looking forward to reading more from you.