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
2
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 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
Which one of these points A, B, C, is the closest to the barycenter of the system
A
B
C
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
. What are its polar coordinates?