35 years ago was 1980. If they are factory shells (not reloads) and not obviously damaged/corroded, they should be fine. That is really only a little time in the life of a properly loaded round.
If there is any possibility they might be handloads, dispose, do NOT shoot.
Even if the componets are marked on the box, trash them, one simply does not, and cannot know if the info is correct, and one moron 35+ years ago can ruin a fine gun today, or maybe even you, if you take the risk of shooting them.