Learn English – ‘Will transfer’ or ‘will be transferred’

Both are correct. The first sentence is 'present tense', in that the word choice of 'being' means it is currently happening at this time. The second sentence is without a tense, and so it is more of a statement by itself. Both sentences sound like they are answers to a question, though.

Both of those are completely acceptable and correct.

Edited to add: What happens is, there are two separate correct ways to phrase this in the active voice:

• He gave a test to me.
• He gave me a test.

This alternation is called "dative alternation" or "dative shift".

I should mention, by the way, that in this particular case, "He gave a test to me" is rather awkward; generally we only use that variant when the object of to is "heavier" than just me: "He gave a test to Jill, Bob, and Susan."

Since English frequently allows any type of object — direct object, indirect object, object of preposition — to be "promoted" to subjects via passive-voice transformation, we have four options that might seem possible:

• Corresponding to "He gave a test to me":
  • A test was given to me. [completely fine]
  • *I was given a test to. [completely wrong]
• Corresponding to "He gave me a test":
  • A test was given me. [awkward/old-fashioned/dialectal]
  • I was given a test. [completely fine]

However, *"I was given a test to" runs afoul of a restriction on prepositional passives: they don't work when there is also a regular direct object. (For example, we can say "this bed has been slept in", meaning "[someone] has slept in this bed", but not *"this bed has been put kids to sleep in", meaning "[someone] has put kids to sleep in this bed".)

The other three possibilities are all correct, though the "[…] was given me" version is sufficiently uncommon nowadays that I would not recommend it for current use, at least in U.S. English. (It will be understood, but it will sound odd, at least to American ears. British ears may feel differently.)