Quarks make up protons and neutrons. There are UP quarks and DOWN quarks. Here is a site that talks about quarks.
http://en.wikipedia.org/wiki/Quark
How does one explain the raltionship between quark and subatomic particle
3 answers
Quarks are what certain subatomic particles (protons, neutrons and mesons) are made of. They remain inside the particles and cannot be separated.
One sometimes refers to a quark as a sub-subatomic particle.
One sometimes refers to a quark as a sub-subatomic particle.
I should note that there are more than two kinds of quarks; but UP and DOWN quarks make up protons and neutrons.