Literature can go. You don't need it to make medicine or build bridges. Composition is a little more important but can probably be axed entirely (your supervisors and people can deal with letters that show a poor understanding of connotation) too. Go back to the days of language class and reading class, where you worry only about understanding clearly-written text and formulating a grammatically correct sentence and not all that tone, themes, structure nonsense.
Reducing history learning is probably a good thing, actually, at least for you, the presumably absolute leader of the nation trying to cut corners in education. Teach the stuff that makes you look good, forget the stuff that makes you look bad, teach the stuff that makes your enemies look bad, forget the stuff that makes them look good. Make sure the story of that one kid who opposed the state is taught. Especially focus on his failure to do his schoolwork satisfactorily and his eventual demise. In fact, make his grave the logo of the education committee and make the students pledge allegiance to it daily.
Skip biology, skip anatomy, skip geology, focus on physics and chemistry. Keep health, though. In fact, double health. This will allow you to remove more biology and anatomy. The students don't need to know how their bodies work to maintain them.
Arithmetic can be condensed. Mandate the use of calculators to save time skipping the execution of concepts such as long division.
Physical Education can go, too. Assign "run for 60 minutes" along with homework every day and assign them pedometers so you can be sure they do it.
Art and music, goes without saying.
Now using my own experience as a springboard, these cut corners have eliminated:
- 7 combination lit/comp classes
- Let's say 6 history classes
- 1 biology, 1 anatomy, let's say 3 classes' worth of assorted geology, biology, anatomy concepts dispersed through the different grades which will allow you to condense
- Let's say 3 classes' worth of assorted arithmetic
- 12 PE
- 2 art, 2 music
This is a total savings of 36 classes. Again speaking from my own experience, at 8 classes per school year, this saves the state 4 and a half years per student. Rearrange your education system to be organized by semester and this becomes 9 semesters. Start them a year earlier and you can have your "fully"-educated high school graduates gathering diplomas as early as 12 and 13 years old.