Ceramic materials may be classified as oxide ceramics and non-oxide ceramics.
Oxide ceramics contain oxygen as the major anion.
Examples are:
\[
Al_2O_3,\quad ZrO_2,\quad MgO.
\]
Alumina is:
\[
Al_2O_3.
\]
Zirconia is:
\[
ZrO_2.
\]
Magnesia is:
\[
MgO.
\]
All these are oxide ceramics.
Silicon carbide has the formula:
\[
SiC.
\]
It contains silicon and carbon, but no oxygen.
Therefore, silicon carbide is a non-oxide ceramic.
Hence, the correct answer is:
\[
\text{Silicon carbide}.
\]