Skip to main content
Search IntMath
Close

Some cool number patterns - and how to give 100%

By Murray Bourne, 14 Apr 2008

This arrived in my Inbox recently.

There is some nice symmetry in all of these:

        1 x 8 + 1 = 9
       12 x 8 + 2 = 98
      123 x 8 + 3 = 987
     1234 x 8 + 4 = 9876
    12345 x 8 + 5 = 98765
   123456 x 8 + 6 = 987654
  1234567 x 8 + 7 = 9876543
 12345678 x 8 + 8 = 98765432
123456789 x 8 + 9 = 987654321


        1 x 9 + 2 = 11
       12 x 9 + 3 = 111
      123 x 9 + 4 = 1111
     1234 x 9 + 5 = 11111
    12345 x 9 + 6 = 111111
   123456 x 9 + 7 = 1111111
  1234567 x 9 + 8 = 11111111
 12345678 x 9 + 9 = 111111111
123456789 x 9 +10 = 1111111111


       9 x 9 + 7 = 88
      98 x 9 + 6 = 888
     987 x 9 + 5 = 8888
    9876 x 9 + 4 = 88888
   98765 x 9 + 3 = 888888
  987654 x 9 + 2 = 8888888
 9876543 x 9 + 1 = 88888888
98765432 x 9 + 0 = 888888888


        1 x 1 = 1
       11 x 11 = 121
      111 x 111 = 12321
     1111 x 1111 = 1234321
    11111 x 11111 = 123454321
   111111 x 111111 = 12345654321
  1111111 x 1111111 = 1234567654321
 11111111 x 11111111 = 123456787654321
111111111 x 111111111 = 12345678987654321

And now for the most important part of learning - and life generally...

Giving 100%

If:

A = 1, B = 2, C = 3, ... , z = 26,

then:

K-N-O-W-L-E-D-G-E

= 11+14+15+23+12+5+4+7+5 

= 96%

And:

H-A-R-D-W-O-R- K

= 8+1+18+4+23+15+18+11 

= 98%

But to arrive at 100%, we need:

A-T-T-I-T-U-D-E

= 1+20+20+9+20+21+4+5 

= 100%

 

Enjoy your day…

See the 4 Comments below.

Leave a comment




Comment Preview

HTML: You can use simple tags like <b>, <a href="...">, etc.

To enter math, you can can either:

  1. Use simple calculator-like input in the following format (surround your math in backticks, or qq on tablet or phone):
    `a^2 = sqrt(b^2 + c^2)`
    (See more on ASCIIMath syntax); or
  2. Use simple LaTeX in the following format. Surround your math with \( and \).
    \( \int g dx = \sqrt{\frac{a}{b}} \)
    (This is standard simple LaTeX.)

NOTE: You can mix both types of math entry in your comment.

top

Tips, tricks, lessons, and tutoring to help reduce test anxiety and move to the top of the class.