1 To smoke is important to him.
1a How important to him is to smoke?
2 It is important to him to smoke.
2a How important to him is it to smoke?
Are 1a and 2a correct?
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Sign up to join this community1 To smoke is important to him.
1a How important to him is to smoke?
2 It is important to him to smoke.
2a How important to him is it to smoke?
Are 1a and 2a correct?
Sentences (1), (1a), (2), and (2a) are all grammatically valid. None of these would be likely to be said or written by a fluent speaker, they are not natural. As the comment by user FumbleFingers points out, "smoking" would normally be used instead of "to smoke". In sentences (1a) and (2) as writen the use of 'to smoke": makes the word "to" occur twice in close succession. This feels awkward to many fluent speakers, so it would be avoided.
If a fluent speaker were to say something like (1a), the pronoun "it" would almost surely be added:
(1b) How important to him is it to smoke?
But although this is slightly better than (1a) it is still not very natural.
I would say that (2) is somewhat more natural than (1), and (2a) is perhaps the best of all of these. But the more likely forms would be:
(2b) Smoking is important to him.
(2c) How important is smoking to him?