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Palindrome Created by Adding Reverse Numbers and Lychrel Numbers

A “palindrome” is a number that is the same even when reversed such as 121 or 99 or 14641 and even 5.

 

Last Square Standing and Squares that End in 5

After the children solved the Locker Problem last week and determined that the ten open lockers were all square number 1,4,9,16,25,36,49,64,81,and 100, I decided to further explore square numbers. I was disappointed that there were no games on the internet that promoted the learning of square numbers so I created my own.

Locker Problem (Multiples, Squares, Primes, Factors, Patterns)

One hundred students are assigned lockers 1 through 100. The student assigned to locker number 1 opens all 100 lockers. The student assigned to locker number 2 then closes all lockers whose numbers are multiples of 2. The student assigned to locker number 3 changes the status of all lockers whose numbers are multiples of 3 (e.g.

Equilateral Triangles, Midpoints, Midlines, Medians, and Geometric Probability

We are coming close to the end of our 14th season of Mathlete Nation’s discovery of mathematics and its mysteries. While playing with a compass used to draw circles, I discovered that with a single line segment, if I set the compass at that segment’s distance, and draw arcs from each endpoint of the segment, the intersection creates a third point.