homework vs problem in Korean
숙제vs문제

숙제homework
Homework (숙제) is school work that students do after class, often at home. It can be math, reading, writing, or other practice from the teacher. People often say they have homework, do homework, or finish homework.
When to use homework
문제problem
문제 means a problem. In school, it often means a question or exercise in a workbook, homework, or a test. You can also use it for a difficulty in daily life, like a problem with a computer or a ticket.
When to use problemHow they differ
문제 is one question or exercise, like a math problem on a worksheet. 숙제 is the whole homework assignment, which can include many problems.