The first five or six years teach you to be literate which also happen to be the most fun years. I remember the majority of people enjoying primary school (the UK has year one to year six which is called primary school here). However, once we got to high school I started to notice that everything in maths for example is very much useless unless you happen to be in an extremely specific situation where it would be needed. You would never need to do maths in your head with how far phones have come. Most people own a phone with a calculator app.

'Take away the school system and there will be no one to train your scientists, doctors, engineers and other people that are vital to the society.' I agree with that however I don't think it should be taken away what I mean is it should not be the way it is now (probably a bad choice for the title). It is entirely compulsory, or a least in the UK, up until you are 18 years old to be in education. I believe it should be optional. That is because school has a wide range of subjects (I have to do 13 subjects) but they are mostly extremely specific subjects with the exception to english, maths, history and geography. You should be able to choose from a much wider range of subjects and instead of focusing on 13 at a time, you should be allowed to choose as many or as little as you want. People who do not enjoy school should be offered much more alternatives which are easier to get.

Side note: I don't know how true it is but http://www.naturalchild.org/guest/john_gatto.html says
'prior to compulsory education the state literacy rate was 98% and after it the figure never again reached above 91% where it stands in 1990.'