Sorry about not addressing your actual question earlier. The problem is that there is no magic number. Some variables are: What your capabilities are now. What your goals are. How often you work out. What you do for that workout.
Variation in and of itself is a stimulus that can bring improvements. Doing the same thing for too long is counterproductive as your body quickly adapts to new stimuli. Even increasing work in small increments so that you build volume over time doesn’t work quite as well as variation, either deliberate or semi-random.
Two schemes that have been proposed so far are:
[ol]
[li]Do exercises to just short of failure several times a day, building volume over time. That works, and works well. The variation in times and volumes day to day makes for some good stimulus. Best practice is to keep most efforts short of failure, except for the times when you’re intentionally going for your current max. That’s where people talk about doing 500 or 1000 reps a day. They’re usually doing sub-maximal efforts 10x or more a day, with one day in 3–5 being a max effort day; just one workout, but as many as you can possibly do, all the way to failure (can’t complete the last rep.)[/li]
[li]Work up to 3 sets of 30 and then move to something else later. That’s a good starting point. You will reach this fairly quickly, which might be motivating for you.[/li][/ol]
Personally, I get bored easily, so I don’t like doing the same workout more than a few times. I’ll add a couple more variations that you could either make into a rotation or insert as needed for fun.
Time challenges:
“Tabata” intervals: 20 on 10 off, 8 sets. Tabata’s original research was on aerobic interval training, but this scheme does push you to put a surprising amount of volume in only 4 minutes per exercise. I’ve also seen 50 on 10 off intervals. I like these because they really push you to do work as fast as you possibly can. I usually do Tabatas in a set of 4 exercises: pull ups, push ups, sit ups, squats. Finish all 8 rounds before moving to the next exercise. It’s a total of 16 minutes, and you will be very fatigued and probably gasping for breath. Fun!
You can also try to perform a set amount of work in as short a time as possible, broken up however you wish. If you can do 20 push ups at a time, you can probably start with something like 50, with a suggestion to break that into 5 groups of 10 and see how long it takes you to do all of them. Under 3 minutes, you definitely need more volume for the next challenge. Over 5, stick with 50 a time or two, interspersed with lower intensity workouts in the 2–3 days between.
Rounds:
Combine a few exercises into a workout. Recovery for one muscle group happens while you’re doing work on another group. You can do more reps than you think by breaking things up this way, and you get some aerobic conditioning in as well. Deceptively simple example: 5 pull ups, 10 push ups, 15 squats. You can challenge yourself for total rounds in 15 minutes, or give yourself only 1 minute per round and count the number of rounds until you can’t perform the full set within that minute.
You’re doing push ups and sit ups right now. I would add pull ups or some variation like a body row, and squats or lunges. You don’t have to do all of those on the same day. Mix and match. If you do squats one day, you can do lunges the next, but you can do upper/lower splits to avoid working the same muscle groups two days in a row. Remember, though, to mix things up. Sometimes bombing yourself with exercises that work the same areas twice in a row makes for more progress.
If you don’t have a pull up bar, you can improvise with body rows. Close a towel in the door (jamb side is stronger) put your feet near the base of the door, grab towel, lean back keeping your body straight, pull. Your front door is usually stronger than interior doors, and may be sturdy enough for towel pull ups. Check your area for playgrounds. Monkey bars and even very low bars can provide opportunities for rows or modified pull ups.
Burpees are a workout all by themselves. They’re a squat thrust, push up, back to squat, then jump. Try 50–100 for time, scaling depending on your current capabilities. Try a set of 10 and see how horrible it is, and decide a total challenge based on that.