Is "question1" (et al.) a text box where the user is supplying the question, or are those questions predetermined and you're only recording the responses?
The reason I'm asking is that unchecked checkboxes aren't submitted at all. So, no matter how you name the checkboxes, you're going to end up with information like "boxes #2, 4, and 7 were checked" - you won't know which ones were unchecked unless you have some way of determining/storing how many (and/or which ones) were displayed in the first place.
Without more information, my guess is that you'd want to name your checkboxes something like "answer[]" or perhaps "answer[123]" (where 123 is some primary/candidate key to identify which "question" is being answered). That way, $_POST['answer'] would be an array that you could use to insert whatever data is appropriate into your DB.