I've heard 'ですか' all too often in textbook Japanese.

I've personally never heard だ and か used together - only 'の' or a rising
intonation.

Eg:

> なまえはなんですか？ vs なまえはなんだか？

Is it normal/natural in the second case? How do you properly convey a question
in this case if not with か?
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particles questions particle-か
It it correct / normal to use か after だ?
Your question very closely mirrors [this
question](https://japanese.stackexchange.com/questions/27705/asking-a-
question-with-da-and-datta), and I highly recommend you look into it.

The simple answer to your question is that saying ～だか is somewhat unnatural,
as you suspected. Like @snailplane mentioned in the comment below, ～だか does
happen occasionally if something is being left unsaid. i.e. ～なんだか（わからない）

~のか is the question form of ～のだ、and here we see that the だ is omitted when
answering a question. The same holds true for pretty much every other case,
except subordinate clauses as discussed in the
[answers](https://japanese.stackexchange.com/a/27710/22352) [(second
answer)](https://japanese.stackexchange.com/a/27714/22352) to the [linked
question](https://japanese.stackexchange.com/questions/27705/asking-a-
question-with-da-and-datta).

However, in informal speech, you'll find that often Japanese will omit saying
か、with a rising intonation at the end of the sentence that says, "this is a
question." This is something that you'll have to listen to a bit to get the
hang of. So, if you're fairly new to the language, I would recommend using か
until you get the hang of things.

Read both of the answers to the [linked
question](https://japanese.stackexchange.com/questions/27705/asking-a-
question-with-da-and-datta), because they do a very good job of explaining
this concept.
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> なまえはなんですか？ vs なまえはなんだか？  
>  Is it normal/natural in the second case? How do you properly convey a
> question in this case if not with か?

As a simple interrogative sentence "What is [your name]?", 「[なまえ]はなんだか？」
doesn't sound natural/correct. You can instead say:

> [なまえ]は **なに** ？ -- friendly, gender-neutral  
>  [なまえ]は **なんだ** ？ -- relatively masculine, can be blunt  
>  [なまえ]は **なにか** ？ -- not common in daily conversation, might sound
> strong/harsh/rigid

Similarly, to say for example 「これは[誰]{だれ}の[傘]{かさ}ですか？」 "Whose umbrella is
this?" in the casual form:

> これは誰の傘？  
>  これは誰の傘だ？  
>  これは誰の傘か？  
>  (×これは誰の傘だか？)

* * *

As to yes-no questions, to say for example 「これは[山田]{やまだ}さんの傘ですか？」 "Is this
Yamada-san's umbrella?" in the casual form:

> これは山田さんの傘？ -- commonly used by both genders of all ages  
>  これは山田さんの傘か？ -- fairly common but I think it's more used by males, can sound
> blunt/strong  
>  (×これは山田さんの傘だ？ / ×これは山田さんの傘だか？)
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