Сборник задач по подготовке учащихся к международным исследованиям timss и pisa



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Task 12 Square shapes


Figure 1 is given a figure.

Figure 1




Question 1. If the radius of the smaller circle 2 cm larger area of a circle larger than the area to 5π smaller circle, a rectangle 40 cm long and the width of the rectangle is 8 cm less than its length, which is the area of the shaded figure?
Answer: .


Question 2. If the area of the smaller circle π cm2, the radius of the larger circle is 3 cm larger than the radius the smaller the circle, the rectangle width 55 cm, and the length of the rectangle is 5 cm more than its width, then what is the area of the shaded figure?
Answer: .


Task 13 Square shapes


Figure 2 is given a figure.


Figure 2


Question 1. If the radius of a circle of 2.5 cm, 0.5 cm length of the rectangle on the lower range of the radius and width of the rectangle of 0.7 cm less than the length, which is the area of the shaded figure?
Answer: .


Question 2. If the rectangle width 1.4 cm, length of a rectangle 3.8 cm greater than its width, and the circle radius of 0.8 times the length of the rectangle, then what is the area of the shaded figure?
Answer: .


Task 14. Setting area figure


Figure 9 gives the figure consisting of a semi-circle, a square and isosceles right triangle.


Figure 3




Question 1. What is the area of the figure, if the circle radius of 7.5 cm?
Answer: .
Question2. What is the area of the figure, if the diagonal of the square, see?
Answer: .
Question3. What is the area of the figure, if the area of an isosceles right triangle
20.25 cm2?
Answer: .




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