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# Higher math test with answers Part 1

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**13.11.2012**

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# Description

TEST "higher mathematics" (Part 1), the number of questions - 115.

Task 1

Question 1: When did the idea of \u200b\u200bthe infinite series of numbers?

1. In the I century BC

2. In the II century BC

3. In the III century BC

4. In the IV century BC

5. In the V century BC

Question 2: Which of the numbers is not rational?

1.

2. 0.1

3. 0.111 .....

4.

5.

Question 3. Which of the numbers is not valid?

1. e (the base of "natural logarithms")

2.

3.

4.

5.

Question 4. In which line the property quaternion recorded with an error?

1.

2.

3.

4.

5. kj = jk

Question 5. What is the ordinal number will increase as a result of the transfinite number 1,000,000?

1.

2.

3.

4. 1000000

5.

Task 2

Question 1. How can formulate the main directions of mathematical research in the social sciences?

1. Studies in the field of linear programming

2. Research in the field of non-linear programming

3. Research in Economics

4. Research in Cybernetics

5. Studies of the precise description of the functioning of social systems and their parts and study the influence of conscious action (control) on the functioning of social structures and for social processes.

Question 2. What is the basis of the assumption of using the coefficient matrix of survival and fertility?

1. The assumption of the immutability of survival and fertility

2. The assumption of a homogeneous age structure

3. The assumption that the termination of the epidemic in the considered time interval

4. The assumption of the absence of war

5. The assumption of the absence of natural disasters

Question 3. What is the result of consideration of the hypothesis model changes in the number of aristocrats in the tribe Netchez?

1. The number of aristocrats in the tribe was stable

2. The tribe did not have a stable class structure

3. tribe led brutal wars

4. The number of "pariah" (poor) increased steadily in the tribe

5. The total number of the tribe could not be stable

Question 4. Which of the hypotheses used in the simplest model of economic growth?

1. Total revenue is the sum of the cost of consumer goods and savings

2. Savings are equal to the costs of the means of labor

3. The share of savings is not zero

4. The additional production is proportional to the additional investment

5. The increase in production of additional products ahead of rising costs

Question 5. How often advisable to solve the problem that occurs when the need to consider additional factors in a very large and complex economic model?

1. Enter into a model new categories and depending

2. Try to isolate (developed) sub-models, which will take into account additional factors

3. Develop a model of re-considering additional factors

4. Simplify the model, then consider additional factors

5. To take into account in the model with all available information

Activity 3

Question 1. Which of the geometric shapes are not studied planimetry?

1. Triangle

2. Diamond

3. parallelepiped

4. Circle

5. Parallelogram

Question 2. What is the definition of the language?

1. There are at least two points

2. Each segment can be continued for each of its ends,

3. Two intervals equal to the same segment are equal

4. Direct AB is a figure, which is the union of all possible segments containing the points A and B

5. Each line divides the plane into two half-planes

Question 3. Which of the wording of the parallel lines in this sense coincides with the fifth postulate of Euclid's "Elements"?

1. Through a point not on a given line, there is a unique straight line does not intersect the given line

2. Two parallel lines crossing their third straight form are, respectively, and the inner corners lying diagonally

# Additional information

Question 4. Find the false statement. Two triangles are equal if they are respectively equal to:

1. Three sides

2. The three angles

3. side and two adjacent angles

4. Two leg

5. hypotenuse and leg

Question 5: Find a pair of equal geometric shapes:

Task 4

Question 1. Which statement contradicts V postulate of Euclid?

1. The set of points lying on one side of a given line at the same distance from it, there is a direct

2. The sum of the angles of a triangle is equal 180

3. Are these unequal triangles

4. The sum of the angles of any quadrilateral is less 360

5. Two parallel lines crossing their third straight form equal corresponding angles

Question 2. Which statement is an axiom of parallelism Lobachevskian?

1. Through a point not on a given line, there is a unique straight line does not intersect the given line

2. Two lines parallel to a third line are parallel to each other

3. There is such a direct and as such, it does not lie on the point A, which passes through the point A is at least two lines which do not cross the line a

4. Two lines perpendicular to a third line are parallel

5. Direct that do not have common points called parallel

Question 3. Which of the given equation of the corresponding elements of two triangles in Euclidean geometry concludes the similarity of triangles, and Lobachevsky geometry - the conclusion of the equality of triangles?

1. On three sides

2. On the two sides and the angle between them

3. leg and a hypotenuse

4. side and an adjacent two corners

5. For three corners

Question 4. Specify the number of which can not be the sum of the angles of a quadrilateral on the Lobachevsky plane:

1. 100

2. 270

3. 300

4. 330

5. 360

Question 5. Specify the number of which can not be the sum of the angles of a spherical triangle:

1. 440

2. 190

3. 170

4. 360

5. 510

Task 5

Question 1. Which of the concepts is not the main and to be determined in the plane geometry of Euclid and Lobachevsky?

1. The ratio of "point B lies between A and C"

2. Point

3. Distance

4. Angle

5. Direct

Question 2. I find the axiom group.

1. For each line, there are exactly two half-plane bounded by this line

2. There are at least three points that do not lie on the same line

3. For any points A and B, the equality

4. Equality holds if and only if the point B belongs to the segment AU

5. Any movement is a one-to-one correspondence

Question 3. Which statement follows directly from the axioms of accessories?

1. Let the line and passes through the points A, B and C. Then, as if the line intersects the segment AB, it crosses another one, and only one of the segments BC or AC

2. If the ray starting at the top of the angle passes through the inner corner point, then all points except at the lie inside the angle

3. For any two points A and B, there is a point C, point B lies between A and C.

4. Two lines have no more than one point in common

5. Of the three points on the same line, one and only one lies between the other two

etc.

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