Grade 10

Final test of the 10th Grade

Good luck!

Question 1
The equation has :
no solution 1 solution 2 solutions

Question 2
How much is ?

Question 3
What is the derivative of the function

Question 4
Why is the function always increasing ?
Car elle est toujours positive Car sa dérivée est toujours positive Car dieu en a décidé ainsi

Question 5
How much is the sum of all the whole odd numbers from 1 to 1000 (use the sequences) ?
250000 250250 250500

Question 6
You play heads or tails with a coin. If the coin falls on tails you earn 2 euros, if it falls on heads you earn 3 euros. X is the random variable that shows the winning after you've tossed the coin. How much is X expected value?

Question 7
The barycenter of the system is situated :
in the triangle ABC A outside of the triangle, near to the line (BC) A outside of the triangle, near to the line (AB)

Question 8
How much is the dot product of and of ?
-2 22 23

Question 9
The image M' of a point M by the homothety which center is O and ratio -1 :
is symmetrical to M across 0 is on the segment [OM] Check

Question 10
The cartesian coordinates of a point M are . What are its polar coordinates?