I’ve got many games.
There isn’t much time.
Do you get much homework?
Use ‘many’ for things we can count. Use ‘much’ for things we can’t count.
How many computers / games / sweets are there?
How much time / money / homework have you got?
In questions and negative sentences we use ‘much’, but we usually use ‘a lot of’ in positive sentences.
Have you got much water?
I haven’t got much water.
I’ve got a lot of water.
We say... We don’t say...
I’ve got many toys. (NOT I’ve got much toys.)
There isn’t much chocolate. (NOT There isn’t many chocolate.)
He’s got a lot of homework. (NOT He’s got much homework.)