Came across on the web something my dad taught me when I was in 3rd grade that I promptly forgot and "rediscovered" by myself when I was in fifth grade. It is no longer useful in this day and age of calculators. But way back when doing arithmetic in one's head was "cool", it was a great thing to know.
It is certainly nostalgic to think back on that one night when I wrote down my first formal mathematics proof based on nothing but the binomial expansion
(10A + B)2 = 100 A2 + 20 AB + B2
And I went on to right down the algorithm for manually taking the cube root based on
(10A + B)3 = 1000A3 + 300A2B + 30AB2 + B3and decided that this algorithm is all but impossible to execute by hand, except in exceptional cases.