Some is generally used in affirmative sentences. Any is generally used in negative sentences. Any is generally used in questions.
This is true for something / anything, somewhere / anywhere, someone / anyone (or anybody / somebody) and even anytime / sometime (don't confuse with some time and any time)
However there are exceptions:
when the existence of the subject is not in doubt: "Would you like some tea?" is fine because your host, hovering there with the teapot clearly has some available.
"Some" can be used in a negative to distinguish part of a group when "any" would imply the whole group: "I like all brunettes but I don't like some blondes." is different from "I like all brunettes but I don't like any blondes." In the first case 50% (or so) are OK. In the second all blondes go unappreciated.
Also "I'll find someone to help you." (implies that helpers exist.) "I'll be grateful for anyone you find." (implies that helpers may not exist)
similarly compare: "Sherlock is looking for something." and "Sherlock is looking for anything."
In this activity there are some examples which obey the usual rule. Most, however, do not. Some, arguably, might grammaticaly take both answers but the context should guide you to the more natural usage. The aim is to give you a "feel" for this curiously difficult usage.
I should be grateful for absolutely ______ help you can give.
some
any
Nice coffee this. Would you like ______more?
some
any
This is a perfectly ordinary pack of cards. I want you to pick ______ card.
any
some
If you recognise ______ in the picture please point him out.
anybody
somebody
I'm told your house has burned down. Do you have ______ to stay?
anywhere
somewhere
______ you say will be taken down and may be used in evidence against you.
Something
Anything
I've cut my finger. Can you give me ______ to put on it?
something
anything
I'm afraid I can only offer you the sofa for the night. No problem. I'm so tired I could sleep ______!
anywhere
somewhere
This gun is dangerous. Put it ______ safe.
anywhere
somewhere
Can you let me have ______ butter? I've run out.
some
any
Don't you find ______of the Loire wines give you a headache? I do.
any
some
______ snakes aren't dangerous at all. In fact only a few are poisonous.
Some
Any
I can translate most of this but I don't understand ______ in the last sentence.
something
anything
Come and see me ______ you like.
anytime
sometime
I'll eat ______ you put on my plate.
anything
something
I should be able to finish the job ______ next week.
anytime
sometime
Even if I had some money I wouldn't lend you ______!
some
any
Are there ______ crocodiles in the river?
some
any
Are ______ of your experiments giving positive results?