Osmosis Ideas

These are the four questions proposed to students of the School of Media Italian Barcelona, Catalonia, Spain, for examining license media.

Italian schools abroad, at least for this year, have not had to deal test Suitcase, the boys have enough of their five tests written:

Italian, mathematics, English, Spanish and Catalan ...

School year 2007/2008

WRITTEN EVIDENCE OF MATHEMATICS 16 JUNE 2008

Question 1

• In a reference Cartesian orthogonal (u = 1 cm) marks the points A (2, 1), B (5, 1), C (5, 3), D (2, 3) and in congiungili.
• Describe the quadrilateral ABCD and calcolane area and perimeter.
• Write the coordinates of the vertices A'B'C'D ', turned to ABCD in isometric Vector V (-3, -4)
• Draw the line equation y = x 2 - 1 and verification graphically and analytically through the top D and the E (3, 5). Calculate the ratio between the areas of the triangle AEB and the quadrilateral ABCD.

Question 2
A prism has a base isosceles trapezoid area of 96 cm ^{2 and} 18 cm high.

• Calculate its volume and its weight, assuming wood (ps = 0.75).

• Check if the triple root of the equation is equal to measure the height of the prism cm.

  

• The height of the trapeze is 8 cm, while the ratio of the bases is 3 / 5. Calculate the perimeter of the trapeze.
• Find the surface area of prism.

Question 3

• A train departs at 8 and, after a journey of 600 km, arrives at its destination at 13. What was the average speed?
• Write the law that expresses the space journey by train on the basis of time spent, his supposed constant speed and rappresentala graphically. What kind is the law?
• A second train departs at 10 and traveling the same route the average speed of 160 km / h. When do you get?
• Keeping time fixed route of 600 km, write the law with which the speed varies depending on the time and rappresentala graphically shows what type of graph you get and what kind of relationship is.

Question 4

For their area of residence, the residents of Sydney can be broken down as follows: 67% live in the plains, 14% in the mountains, 10% in the hills, 9% in capitals.

• Assuming that the population of Lombardy accounts of 5 million inhabitants, construct the table of frequency.
• Draw a graph representing the frequency distribution defined in the preceding paragraph.
• Among fashion, media and median which is the only significant value that can be determined in this case and why?
• Randomly choosing a person resident in Sydney, what is the probability that:

a) living in the plains;

b) living in the mountains or hills;

c) not living in a provincial capital.

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