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
?
0
Question 3
What is the derivative of the function
Question 4
Why is the function
always increasing when x is positive ?
Car sa derivée est toujours positive
Car elle est toujours positive
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 10 euros, if it falls on heads you earn 9 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 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?