Give your mother a copy of the first page of your passport and a passport-type photo, and you can apply for a visa to return from Singapore without other proof.

You can also apply for a Singapore visa online by yourself, just need the content and contact number on your mother's IC. You need a credit card to pay the visa fee of 30 Singapore dollars (you can borrow it from a friend).

With the guarantee of relatives, you don't have to go to the consulate to apply for a Singapore visa!