"the cards have a limit of 300 pounds for ATM withdrawals" Some banks have slightly higher limits, I've seen up to £500 but I have not seen any that allow you

"the cards have a limit of 300 pounds for ATM withdrawals" Some banks have slightly higher limits, I've seen up to £500 but I have not seen any that allow you to set an arbitrary limit. "only after the card arrives I can see what sort of limit was given" It is quite common to request a credit limit when applying for a credit card and have it accepted or declined, but I guess different banks do things differently.