Saturday, June 27, 2020

Isosceles Triangles



Here are some points. Join any three of them and make isosceles triangles. How many can you make?









Sine Wave From A Cylinder















































 

Ulam Spiral

Start from 1 and wrıte numbers until 100 as a spiral.


This is called a Ulam spiral. It is devised by a mathematician Stanislaw Ulam in 1963. 



What do you observe?










Friday, June 12, 2020

Puzzle with Sets


Place numbers inside the regions in given sets, so that the yellow regions will be the sum of the intersecting green regions. You can use each number once only.

Example















Letters



What is the pattern here?

1, 2, 3, 4, 5, 6, 7, 8, 9


1  2  3  4  5  6  7  8  9  = 99

Add pluses between the numbers in such a way that you get 99. 
In how many different ways can you do it?























1+2+3+4+5+67+8+9=99
1+23+45+6+7+8+9=99

Thursday, June 11, 2020

9, 8, 7, 6, 5, 4, 3, 2, 1 (3)

9   8   7   6   5   4   3   2   1  = 99

Add pluses between the number in such a way that you get 99. 
Can you do it in two different ways?

                                                                           [Resource]












































9+8+7+65+4+3+2+1
9+8+7+6+5+43+21