1)i had a very strange dream last night. 2) nick dreamt that \ about winning the contest in physics. 3) some people work hard to make their dreams come true, another\ others don't. 4) masha goy a job after school and never regretted -(ничего)\ about it. 5) leo failed to get\ getting home at th usual time. 6) andrew was very proud in\ about speaking in public. 7)don't tell her to give up. she has her proud\ pride. 8) i never felt confident in\ about speaking in public. 9) thanks to our training we gained in\ (ничего) - a lot of useful skills. 10) it is impossible to avoid meeting\ facing obstacles on the way to success. 11) i would never miss a chance to go\ going on a swimming course. надо выбрать слово и объяснить почему оно было выбрано.

1)I HAD a very strange dream last night.
2) Nick dreamt THAT \ ABOUT  winning the contest  in Physics. мечтал о победе
3) Some people work hard to make their dreams come true, ANOTHER\ OTHERS don't. другие нет - мн. ч.
4) Masha got a job after school and never regretted -(ничего)\ ABOUT it. сожалеть о
5) Leo failed TO GET\ GETTING home at th usual time. думаю нужен инфонитив после fail 
6) Andrew was very proud IN\ ABOUT speaking in public. вообще то proud of? но если выбирать из этих двух - то about
7)Don't tell her to give up. She has her PROUD\ PRIDE.- это существительное. у ней есть гордость. proud - это прилагательное и здесь не подходит
8) I never felt confident IN\ ABOUT speaking in public. вообще по словарю confedent of быть уверенным в чем-то, здесь такого варианта нет. я бы выбрала in 
9) Thanks to our training we gained IN\ (ничего) - a lot of useful skills.не нужен предлог
10) It is impossible to avoid MEETING\ FACING obstacles on the way to success.по смыслу
11) I would never miss a chance TO GO\ GOING on a swimming course.