Gary, I see 10 hand expanding reamers total; 5 smaller ones in the first pic and 5 in the second pic. Square on the shank is to accommodate a tap handle. You'll notice flats on the small threaded portion on the end opposite the shank. That's where you use a wrench to adjust the dia. of the center-blade section.
I also see what appears to be one, maybe two end expanding reamers in second pic. Should be an allen in the end. Screw it in, the reamer flutes are forced outward (dia. expands).
First pic there are two straight flute hand taper reamers (small and larger) small one has had a piece of round stock added to lengthen the shank, and a helical flute hand taper reamer that has also had a round shank extension welded on to it.
Fourth from left, no clue.
Sixth from left looks to be a shank that is supposed to have maybe an interchangeable cutter mounted on it.
Seventh from left looks like maybe a small line-reamer that's had an extension welded onto the shank.
Second pic (far right) has what appears to be a spot-facer (counter bore) that's had the end ground into a pilot. Next to it is a standard chucking reamer. Second from left appears to be a spot-facer that's had a shank extension attached to it.