Calculate the sum of squares, given the arithmetic, geometric and harmonic means of three numbers

Find the harmonic mean of the roots of a cubic equation

A game of Rock, Paper, Scissors with a strange twist

Find the missing number, based on the difference between the arithmetic mean and the harmonic mean

Pierre numbers his chocolate candies on a scale from one to ten

Slips of paper with digits and letters are drawn from baskets, with 161 possible results

Santa and Mrs. Claus take a Christmas song to extremes - The Twelve Days of Christmas

A probability problem involving randomly selected digits