Ответ:

Translation of the question: Мама ушла/ходила в супермаркет?

Both choices are possible, depending on the situation: gone means Mum went to the supermarket and is still there or on her way; been means she went and has returned.

Has Mum gone to the supermarket? (Мама ушла в супермаркет?)
Has Mum been to the supermarket? (Мама уже сходила в супермаркет и вернулась?)