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The question is, how were you covered, not who owned the plan.   If you were covered by a family plan for the whole year (and no "other" non-HDHP coverage) you would answer that way, even though it was 2 different plans.  I believe your spouse must also answer the same questions in their own name, the same principle applies.

 

And, if either one of you is age 55 or older, you get a $1000 additional catch-up contribution, if you wanted to contribute more by April 15 and take a tax deduction.