Hi
I had a similar problem - was always tired when I got home, didn't want or feel the need to do homework.
First of all, the most important thing is to take care of yourself.
-Don't stay up doing homework (unless it's an assignment SAC - but don't leave these until the last minute).
-Get enough sleep, I'd recommend minimum of 8 hours, up to 8.5-9 hours, depending on what you need. I found I needed around 8.5h.
-Eat well. Make sure you eat breakfast, lunch and dinner, and have some snacks too
especially when you're working
Now with regards to tips for managing homework and study:
I found I always worked best at school, and struggled with motivation at home. So, what I did was tried to do as much homework during class time as I could, and tried to finish it during spare lunchtimes, and sometimes stayed after school. One other option that I didn't utilise as much as I should have was the library, it's great for study and work after school, especially if you're close.
With your homework, don't do every single question. I often found I only needed to do every second question, or every third if I understood the content and could do it reasonably fast and accurately. Doing every single question assigned can sometimes be too much, and result in too much work and takes up your time and energy. It's also better to do a bit of every type of question than only doing the first half of all the questions and missing the rest.
Prioritise. Do the things you have to do first, and make sure if you don't have enough time for everything, it's a not essential thing you miss out on.
For concepts, I might recommend looking at the worked solutions / examples first. Make sure your method is right and then practice similar questions, and if you get them wrong, redo them. If you have no idea how they got an answer or how they did it, you can always post it here!
Good luck, hope this helps a little