Why does the Strange Quark have Strangeness -1? I have been trying to find an explanation for the strange quarks negative strangeness value, I understand the term strangeness predates the quark model, but I'm unsure if terminology carry over is the reason for the naming convention.
Apparently, it is also convention to give quantum numbers a positive or negative value depending on the charge of the particle. Does the strange quark's negative charge give it a negative strangeness?
 A: From the Wikipedia article Strangeness:

The terms strange and strangeness predate the discovery of the quark,
and were adopted after its discovery in order to preserve the
continuity of the phrase; strangeness of anti-particles being referred
to as +1, and particles as −1 as per the original definition. For all
the quark flavour quantum numbers (strangeness, charm, topness and
bottomness) the convention is that the flavour charge and the electric
charge of a quark have the same sign. With this, any flavour carried
by a charged meson has the same sign as its charge.

A: The sign of additive quantum numbers is set up to a convention. Take for example the case of the electric current: we use to say in electronics that current is a positive flow of charge, that is a negative flow in the opposite direction.
Having this in mind, a subnuclear physics reason can be that the Gell-Mann & Nishijima formula that relates electric charge $Q$, strong isospin $I_3$, barionic number $B$ and strangeness $S$ (the sum of these two and all other quark numbers is called strong hypercharge, $Y$) states:
$$ Q = \frac{B+S}{2} + I_3 $$
Because of this, reminding that the charge of quark strange is $-\frac{1}{3}$ we obtain the correct solution if we put $I_3 = 0$, $B = \frac{1}{3}$ and $S = -1$.
