hey,i also do singing in school but not privatly. In may just past i could not sing past a B above middle C but I was really determined to get higher so...
During the summer holidays i practiced scales on my piano just by playing 5 notes at a time eg:C D E F G, D E F G A, and so on and i would just sing la la la la la, then change the vowels about like e, o, i ,u ,a. I practiced every day getting higher and higher but never pushing my voice too much and now i can reach up to a D,E,F above middle C.so thats my exercises and warm ups. bye