What if instead of having to calculate something very precisely, you proposed a MCQ (Multiple Choice Questions) instead? A MCQ is a list of questions with (most of the time) 4 proposed answers given for each.
The sky is :
- A. Blue
- B. Solid
- C. Brown
- D. Above our head
To make it even trickier, sometimes MCQs have malus points if you answer something wrong. That way you can't just randomly pick something when you don't know the correct answer.
You can't estimate the answers of a MCQ. It's either A, B, C or D. If Mr P is really that much greater than Mr E, he'll get only right answers, whereas Mr E will lose points by lacking accuracy. You could even ask each one of them to make a test for the other one; as long as he's better, Mr P will always win :)