C

9000153303

Level: 
C
A student performed repeated measurements of a length (in meters) and evaluated the main statistical characteristics: mean, standard deviation, variance and the coefficient of variation. Unit of which of these characteristics is meter?
the mean and the standard deviation
only the variance
only the standard deviation
only the mean
the standard deviation and the variance
the standard deviation, the variance and the coefficient of variation

9000150505

Level: 
C
The iron support has the shape of the right triangle ABC with the side AB of the length 30cm and the hypotenuse AC of the length 50cm (see the picture). The maximal allowed force F1 on AB is 270N. Find the maximal force G allowed at the point A. Hint: The load G at the point A can be decomposed to the direction of the hypotenuse and the other side of the triangle as shown in the picture.
360N
450N
540N
162N

9000150503

Level: 
C
A pendulum constituted of a rope of the length l and a body is displaced from it's equilibrium. The force due to gravity on the body Fg=20N. The body is higher by h=10cm in the displaced position (comparing to the equilibrium position). The tension in the rope in the displaced position is F1=12N. Find the length of the rope l. Hint: Using a parallelogram, the force of gravity on the body can be decomposed into a force F1 in the direction of the rope and F2 in the perpendicular direction.
25cm
25m
6cm
1623cm

9000149309

Level: 
C
Consider a dilatation which maps A onto B. The center is the dilatation is S. Find a correct statement.
The point S is on the line through the points A and B.
The points S, A and B form a right triangle ABS.
The distance from S to A is smaller than the distance from A to B.
The points S, A and B form a triangle ABS with at least two sides of equal length.