choose the correct there aren't........sport facilities

The correct sentence is: “There aren’t any sport facilities.” Explanation:

• After “there aren’t” , we normally use “any” with plural countable nouns when the meaning is negative:
  • There aren’t any shops near here.
  • There aren’t any buses after 10 p.m.

• “Sport facilities” is plural, so:
  • “There aren’t any sport facilities” is grammatical and natural.
  • “There aren’t some sport facilities” is incorrect in standard English.

So if your exercise is:

choose the correct:
there aren’t …….. sport facilities

the correct option is: any.