Friday, December 3, 2010

Squares: 1-digit, 2-digit, 3-digit numbers

1^2 = 1
2^2 = 4
3^2 = 9


4^2 = 16
5^2 = 25
6^2 = 36
7^2 = 49
8^2 = 64
9^2 = 81



10^2 = 100 ..... 21^2 = 441
11^2 = 121
..... 22^2 = 484
12^2 = 144 ..... 23^2 = 529
13^2 = 169 ..... 24^2 = 576
14^2 = 196 ..... 25^2 = 625
15^2 = 225 ..... 26^2 = 676
16^2 = 256 ..... 27^2 = 729
17^2 = 289 ..... 28^2 = 784
18^2 = 324 ..... 29^2 = 841
19^2 = 361 ..... 30^2 = 900
20^2 = 400 ..... 31^2 = 961


Thursday, December 2, 2010

n-body problem

http://www.whenwilliusemath.com/didyouknow/newdiscoveries/n-bodyproblem


Looking for postive integers such that... (Reverse)

9 + 9 = 18 and 9 * 9 = 81 ........... 81 is the reverse of 18

3 + 24 = 27 and 3 * 24 = 72 .... 72 is the reverse of 27

with a 3-digit number,

2 + 497 = 499 and 2 * 497 = 994 ... we see 994 is the reverse of 499.

Could you find another 3-digit number whose product is the reverse of the sum?
How about a 4-digit number? a 5-digit number, a 6-digit number, etc.?

Mathematics Genealogy Project

http://genealogy.math.ndsu.nodak.edu/index.php


Wednesday, December 1, 2010

Maths in the movies



Looking for postive integers such that

The positive integers are the numbers


Here I'm interested to find all positive integers which can be written in the form

(1) (a + b + c)^2 /(abc)
(2) (a + b - c)^2 /(abc)
(3) (a - b + c)^2 /(abc)
(4) (a - b - c)^2 /(abc)

where a, b, c are positive integers

Maths Tricks

FASTEST WAY OF MULTIPLYING 3-DIGIT BY 3-DIGIT NUMBERS


Squaring a number







(1) From a shuffled deck of cards, pick a number between 1 and 10, a count up to find your first chosen card.
(2) The value of your chosen card is your new number. (Face cards are worth 5)
(3) Use your new number to find your next card





Fantastic Math Tricks