The pic you posted is of a Savage Model 29A or 29B
(The only difference betw the two is that the 29A was not drilled& tapped for scope mt,,the 29B was D&Td for scope mt.
The scope mt holes were 4 on the left side of the recv'r for a Weaver N5 mt.
Later production 29B were grooved on top for the popular tip-off scope mts. Still marked '29B' but refered to as a '29G' (grooved) in their manuals.
These 29A and 29B rifles will handle HS 22 ammunition just fine. They are Post WW2 mfg and were made up into the late 60's at least maybe later.
However,,there is an earlier rifle, the Model 29 (no suffix letter) that preceded the 29A &B. These look nearly the same.
They are are quite different on the inside though and parts do not interchange. They were made starting around 1929/30 and to just around WW2.
They also made the same gun as the Stevens Model 75.
**They are generally considered a .22 Standard Vel only rifle**
One easy way to tell the difference betw a 29A/B and an earlier Model 29 is the right side of the frame.
The 29A/B shows 2 pins on the side. As does the pic you posted.
An earlier Model 29 will have those 2 pins PLUS a screw head just above the slide release latch.
Also on the Model 29A/B,,the slide release latch serrations are slanted and facing to the rear/to the inside of the trigger guard.
On the earlier Model 29, the serrations are slanted and facing forward toward the front of the frame.
There is also an earlier yet Model 25 pump 22 rifle Again it looks very similar to the Model 29 and features of the 29 are alike. Standard Velocity ammo again recommended.
Parts are very hard to come by for the early Savage models 22 pumps.
The later Model 29A &B are pretty easy to get parts for.
The one that usually breaks is that slide release (casting of some sort). The slide release spring is a simple wire spring that looses it's power after prolonged use and allows you to open the action w/o using the rel;ease. Simply bend the single arm spring to give it some flex again and you are all set.
If you're not sure which Model you have, err on the safe side and use Stand Vel ammo.
I have both a 29B and an earlier Model 29 (this one branded a 'Ranger'). The 29B takes HiVel with no problem but the Ranger Model 29, gets babied w/ standard vel stuff.
Very accurate rifles.