Сборник задач по подготовке учащихся к международным исследованиям timss и pisa



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Task 15. Land area.


The plot has a square shape. The perimeter of the square is 48 m. This area must be divided into eight equal portions of a rectangular shape.
Question 1. Find the length of the side of the site.
Answer: .
Question 2. Calculate the area of the site.
Answer: .
Question 3. Find the dimensions of rectangular section.
Answer: .
Question 4. Find the area of the rectangular area.
Answer: .
Question 5. What percentage of the rectangular plot area less than the area of the
site?
Answer: .


Task 16. Land area.


Rectangular portion should be divided into equal portions. The perimeter portion of 20 m and a length of 1.5 times the width.
Question 1. Find the dimensions of the site.
Answer: .
Question 2. What could be the size of the resulting plot, if he is in the form of a square?
Answer: .
Question 3: What could be the size of the resulting section, if it is rectangular in shape?
Answer: .
Question 4. Find the smallest and the largest number of identical sections, which can be divided into the plot.
Answer: .


Task 17. The height of the figures.


Copper part of conical shape 30 cm melted into the cylinder, the radius of which is equal to the radius of the base circle of the conical part.
Question. What is the height of the cylinder will turn out?
Answer: _


Task 18. The area figures.


In a rectangle with sides of 10 cm and 16 cm inscribed quadrilateral, three vertices are the midpoints of the three sides and the fourth vertex coincides with one of the vertices of the rectangle (Fig. 4).
Figure 4


Question 1. What is the area of the shaded figure?
Answer: _.
Question 2. What dimensions of the shaded figure?
Answer: _.
Question 3. What is the perimeter of the shaded figure?
Answer: .
Question 4. On how many percent of the area of the shaded figure less than the area of the rectangle?
Answer: _.


Task 19. Movement.
Two trains meet each other at velocities v1 = 60 km / h and v2 = 65 km / h.
After three hours, the distance between them was equal to 205..
Question 1. How many kilometers traveled each train separately for three hours?
Answer: _.
Question 2. How many hours will meet the train?
Answer: _.




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