他正在努力解决问题，但看起来毫无希望。

He is trying hard to solve the problem, but looks ___hopeless.

面对这么难的考试，他觉得完全没希望通过。

With such a difficult exam, he feels completely ___hopeless about passing.

他的数学成绩糟糕透了，完全不懂基础知识。

He's ___hopeless at math and doesn't understand the basics.