Crust:
The crust of the Moon is made up of mostly- oxygen, silicon, magnesium, iron, calcium, and aluminum. There are also traces of titanium, uranium, thorium, potassium and hydrogen.
Mantle:
Scientists believe that the mantle of the Moon is mostly made up of the minerals olivine, orthopyroxene and clinopyroxene. It's also believed to contain more iron than the Earth's mantle.
Core:
Most scientists believe that it is composed of metallic iron alloyed with a small amount of sulfur and nickel.