Why is your face upside down in the inward curve of the spoon?
It behaves as concave mirror
The inner surface of a spoon acts as a concave mirror and the outer surface of the spoon acts as a convex mirror. When you see yourself in a spoon which is like a concave mirror, the light rays from your face fall on the top of the spoon and get reflected downwards. Real images produced by concave mirrors are always inverted.