Equivalent exposures would be:
f/2.5 @ 1/500
f/2.8 @ 1/500 (close enough)
f/4.0 @ 1/250
f/5.6 @ 1/125
f/8.0 @ 1/60
f/11 @ 1/30
f/16 @ 1/15
f/22 @ 1/8
f/11 @ 1/2 second would be overexposed by about 4 stops.
anatoli explained the "Sunny 16 Rule" to check your meter in a professional's terms. In your world, you might try an "average" scene in bright sunlight. Something like the front of your house would do. If you are on ISO/ASA 100, the house should read about f/16 @ 1/100. On the K1000, it might say 1/125, as I don't think there is an available 1/100 speed. At ISO/ASA 200, it would be f/16 @200, etc.
Be aware that some readings are outside the range of your K1000. These would become more of a problem with very bright or very dark subjects. The specifications probably say something like the meter works from EV 1.0 to EV 18.0 at ISO 100. When the meter doesn't work, the needle will jump to an inappropriate location. What I mean is, as you are closing in on the right exposure, bringing the needle closer and closer to the center of the meter, it will all of the sudden jump either to the extreme top or extreme bottom of the meter. This tells you that the scene is not within the meter range. You will soon be able to judge how far the needle moves with each alteration of f-stop or aperture. If you are "one click away" from center, the needle will line up with the edge of the center zone on the meter. You'll get the hang of it. When your meter refuses to take that final reading, just keep going in the direction you were going and estimate the number of stops or shutter speeds you need to go to reach the "virtual center" of the meter.
You know, I forget how the meter works in the K1000. I think it is supposed to actually stop down as you alter your settings. If you change the setting of the shutter speed, it won't change, but if you change the aperture, it will change. If this is not happening, your camera may need service. Maybe you need to ask a new question about that.... I'd check it on my similar Spotmatic for you, but I have not used the meter in that camera sine it broke about 20 years ago.
And don't unscrew your lens! Just slide the A/M switch on the side of the lens to "M" for manual. It will stop down as you go if it is in that position.
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EDIT
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I see Kahless says that the aperture remains wide open until you take the shot. I didn't think they were that sophisticated, but it's been so long since I 've seen a K1000 that you better accept his information as correct.
It's not the stop-down pin mechanism or your shots would be getting lighter instead of darker.
Maybe you just need to get the whole works checked out at a repair shop.