'Will' and 'shall' are exactly the same, although 'shall' isn't used often anymore. Nowadays 'shall' is mostly used to charm someone by sounding old-fashioned or to sound authorative. 'Shall' used to be more common than 'will', but not anymore. Ex. "Will we go?" and "Shall we go?" are the same literally, although the latter implies that the decision to go is entirely the decision of the person being asked, while the former doesn't imply anything but its literal meaning. "You shall not pass!" is famous quote from Lord of the Rings. It's the same as "You will not pass!", but it implies "You shall not pass because I SAY SO!". You would usually never say "Shall we...?" or "Shall I...?" unless you're on a date. Because this is the most common usage of 'shall', many English learners incorrectly assume that 'shall' can only be used in the first person. If people want to sound really old fashioned, they say "Thou wilt..." or "Thou shalt..." ('will' and 'shall' used to conjugated to 'wilt' or 'shalt' in archaic English). If you say something will/shall happen, then it HAS to happen. If you're just speaking hypothetically, use 'would'. Ex. "If ...., then ... would...." 'Would' is very commonly used when offering someone something. Ex. "Would you like (to have) some tea (if I gave some to you)?" "Would you like some coffee?"

Would and Will can be used interchangeably ... Eg. Will you get my coat? Eg, Would you get my coat? Shall can be used with the pronoun I or we Shall we dance? Shall I poor you some more wine? Shall is not used as often (at least in North America)

Will if something is or is intended to be in the future. I will go to the dance. She will have a small mocha. The trees will grow. Shall, at least where i am from is not often used at all.When it is, it is used the same way as will. Would genrally is used if you want to do.aomething, or would, hupothetically, but something os preventing it. The country would collapse without the president. If i had a million dollars, I would buy a new house.

WILL, SHALL, AND WOULD. The word "Will" used as an auxiliary verb, is defined as an 'intention', and may be used in the first, second, and third person.The past-tense of "Will" is "Would". The word "Shall" used as an auxiliary verb, is defined as an imperative, and is traditionally used in the first person only (I shall, we shall). The past-tense of "Shall" is "Should". Idiomatically, there are many variations, but for your tests, keep to the basic, pure definitions.