A cone. It has a circular face at the bottom and a vertice at the top. Hope I helped :)
The surface of an infinite cone.
A cone maybe
A sphere.
A vertice is a corner of a shape or point in Geometry. Sorry, I don't know what it is in Algebra.
one
5
Circle
A cone. Except that the singular is vertex - there is no such thing as a vertice.
A cone.
square based pyramid
Well it has one edge, one face, one base(the face that the shape sits on), and one vertice.