Grade 10

Final test of the 10th Grade

Good luck!

Question 1
The equation has :
no solution 1 solution, x = 2 2 solutions, x = 0 et x = 4

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 numbers from 1 to 1000 ?
500000 500500 555555

Question 6
You play heads or tails with a coin. If the coin falls on tails you earn 5 euros, if it falls on heads you earn 4 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 ?
13 23 43

Question 9
The image M' of a point M by the homotethy which center is O and ratio -2 :
is on the half line [OM) is on the segment [OM] is on the line (OM).

Question 10
The cartesian coordinates of a point M are x = -3 et y = -3 . What are its polar coordinates?