Draw some spirals with the LOGO programming language.
Is it possible to use all 28 dominoes arranging them in squares of
four? What patterns can you see in the solution(s)?
6! = 6 x 5 x 4 x 3 x 2 x 1. The highest power of 2 that divides
exactly into 6! is 4 since (6!) / (2^4 ) = 45. What is the highest
power of two that divides exactly into 100!?
ABCD is a square. P is the midpoint of AB and is joined to C. A line from D perpendicular to PC meets the line at the point Q. Prove AQ = AD.
By inscribing a circle in a square and then a square in a circle
find an approximation to pi. By using a hexagon, can you improve on