Showing what's behind the curtain

Find the expected number of plates that must be observed to find two that total 1,000.

Project Euler 183: Find the maximum product of equal parts of a number and determine whether the that product is a terminating or non-terminating decimal .

Modified Fibonacci golden nuggets

Count the number of horizontal, vertical and diagonal rectangles in a rectangular grid

Investigate the optimum polynomial function to model the first `k` terms of a given sequence.

Determine if the origin is contained inside a triangle.

Count the ways a row measuring fifty units in length could be filled with blocks three units long. The blocks must be separated by at least one empty space.

Fill an empty row with blocks, a minimum length of 50 units, until the size of the row exceeds 1,000,000 units. The blocks must be separated by at least one empty space.

Count the number of ways a space 50 units long could be filled by tiles, homogeneously, measuring 2, 3 or 4 units long.

Count the number of ways a space 50 units long could be filled by tiles, heterogeneously, measuring 2, 3 or 4 units long.