We learn at school five usages in "be to do" as listed below:
1) There is to be a test next week.
2) You are not to play in the much.
3) If you are to succeed in life, you must work hard.
4) The answer is not to be found in this book.
5) He was never to see his homeland again.
I'm wondering whether every one of these is commonly used in usual
speech or writing. I have not seen or heard 4) and 5) quite often except
in grammar books. Are they still "alive" ?