Ниже решение по правилу переразложения: если предложение имеет форму “X is/are sure/certain that …” или синонимы (I’m certain, I’m sure, etc.), то можно переразвести так, что предмет внутри придаточного предложения становится подлежащим в новой фразе с конструкцией “Y is sure to …” (или “Y is not sure to …”, если было отрицание). То есть: “X is sure that Y …” → “Y … is sure to …”.
Перефразируем данные предложения:
- I'm certain that you approve of bright ideas.
- You are sure to approve of bright ideas.
- We know you are busy.
- You are sure to be busy.
- I'm sure you are careful about everything.
- You are sure to be careful about everything.
- I'm sure you are careful not to say anything wrong.
- You are sure not to say anything wrong.
- We are certain that you are doubtful about the project.
- You are sure to be doubtful about the project.
- We are not sure Tom is always careful not to say anything wrong.
- Tom is not sure to be always careful not to say anything wrong.
- I'm uncertain whether Fred is very particular about his project.
- Fred is not sure to be very particular about his project.
- I'm not sure that my friend is on a new project now.
- My friend is not sure to be on a new project now.
- I'm sure that Ted will refuse.
- Ted is sure to refuse.
- We know that Professor Allan makes a few appointments every day.
- Professor Allan makes a few appointments every day.
- Dillan is very careful. He checks every bit of information.
- Dillan is careful to check every bit of information.
- Mary is very naive. She takes everything for granted.
- Mary is naive to take everything for granted.
Если хочешь, могу привести альтернативные формулировки с использованием "certain to" вместо "sure to" или разобрать каждую пару чуть глубже.