Needles are composed of a single material, which is attracted to magnets - unless they have a gold coating on the eye of the needle. I don't understand 'thrown through a magnet' - Is your magnet a circle or a horseshoe? Most of mine are just rectangles or disks.

It's a fun and easy experiment - get a needle and a magnet. Move different parts of the magnet toward different parts of the needle. I think my needle got magnetized, because it seemed to change its behavior, when I moved the same end of the magnet toward the middle of the needle, after moving them around each other a few times.