As promised, here is the last section (four pages, two long exercises, each one made of subsections and subquestions) of one of the French Mathematics Baccalaureate exams. This version is one for folks who did serious secondary work in mathematics and science. This was a lot of very slow, technical typing, and trying to figure out whether I want to give a literal translation, or whether I should reach for easier understanding by American readers. I tried to opt for the second choice.

Be prepared: this section of the test is rough going, too. If you can’t quite even figure out what they are asking, you are in very good company! Only folks who have been specifically and recently studying or teaching these particular concepts would have a chance of passing.  Even with a score of 45%.

(page 4:)

and page 5:

page 6:

 and finally, page 7:

If you’ve…