The book contains 50 variants of sets of standard test tasks in mathematics, compiled taking into account all the features and requirements of the Unified State Exam 2016.
The purpose of the manual is to provide readers with information about the structure and content of control measuring materials in mathematics, the degree of difficulty of tasks.
The authors of the manual are leading experts who are directly involved in the development of methodological materials for preparing for the implementation of control measuring materials for the exam.
The collection contains answers to all test options, provides solutions to all tasks of part 2 of one of the options.
In addition, examples of forms used in the exam for recording answers and decisions are given.
The manual can be used by teachers to prepare students for the exam in mathematics in the form of the Unified State Examination, as well as by high school students for self-training and self-control.

Examples.
The number of wolves in the two reserves in 2009 was 220 individuals. A year later, they found that in the first reserve the number of wolves increased by 10%, and in the second - by 20%. As a result, the total number of wolves in the two reserves amounted to 250 individuals. How many wolves were there in the first reserve in 2009?

Two mines produce aluminum and nickel. In the first mine there are 100 workers, each of whom is ready to work 5 hours a day. At the same time, one worker produces 1 kg of aluminum or 3 kg of nickel per hour. In the second mine there are 300 workers, each of whom is ready to work 5 hours a day. At the same time, one worker produces 3 kg of aluminum or 1 kg of nickel per hour.
Both mines supply the mined metal to the plant, where an alloy of aluminum and nickel is produced for the needs of industry, in which 2 kg of aluminum accounts for 1 kg of nickel. At the same time, the mines agree among themselves to mine metals so that the plant can produce the largest amount of alloy. How many kilograms of alloy under such conditions can the plant produce daily?

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Download the book Unified State Examination 2016, Mathematics, 50 options for typical test tasks, Yashchenko I.V. - fileskachat.com, fast and free download.

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USE 2018. Mathematics. profile level. 50 options. Typical test tasks.

M.: 2018. - 264 p.

The book contains 50 variants of sets of standard test tasks in mathematics, compiled taking into account all the features and requirements of the Unified State Examination in Mathematics at the profile level in 2018. The purpose of the manual is to provide readers with information about the structure and content of control measuring materials in mathematics at the profile level, the degree of difficulty of tasks. The collection contains answers to all test options, provides solutions to all tasks of part 2 of five options.

Format: pdf

The size: 48 MB

Watch, download:drive.google

TABLE OF CONTENTS
Work instructions 11
References 11
Training work 1 - 50
Problem solving. Part 2
Training work 1. Part 2 212
Training work 6. Part 2 218
Training work 21. Part 2 225
Training work 26. Part 2 231
Training work 36. Part 2 238
Answers
Training work 1 - 50

The examination paper consists of two parts, including 19 tasks. Part 1 contains 8 tasks with a short answer. Part 2 contains 4 short answer tasks and 7 long answer tasks.
3 hours 55 minutes (235 minutes) are allotted to complete the examination paper in mathematics.

TRAINING WORK 1
1. The readings of the electricity meter on August 1 were 43,364 kWh, and on September 1 - 43,544 kWh. How much should you pay for electricity in August if 1 kWh of electricity costs 1 ruble 50 kopecks? Give your answer in rubles.
2. The diagram shows the distribution of copper smelting in 10 countries of the world (in thousands of tons) for 2006. Among the countries represented, the first place in copper smelting was occupied by the United States, the tenth place was taken by Kazakhstan. What is the position of Zambia?
3. A trapezoid is depicted on checkered paper with a cell size of 1x1. Find the length of the midline of this trapezoid.

4. Nine children get up in a round dance in a random order. Among them are Seryozha and his sister Masha. What is the probability that Seryozha and Masha will be next to each other?
6. In triangle ABC, angle C is 118°, sides AC and BC are equal. Find angle A. Give your answer in degrees.
7. The figure shows the graph of the function y \u003d f (x) and the tangent to it at the point with the abscissa x0. Find the value of the derivative of the function f (x) at the point x0.
8. How many times will the surface area of ​​a cube increase if all its edges are increased by 4 times?

10. The dependence of the volume of demand q (units per month) for the products of a monopoly enterprise on the price p (thousand rubles per unit) is given by the formula q \u003d 70 - 5r. The revenue of the enterprise r (in thousand rubles per month) is calculated by the formula r (p) \u003d q p. Determine the highest price p at which the monthly revenue r (p) will be at least 240 thousand rubles. Give the answer in thousand rubles. per unit

11. Seven identical shirts are 2% cheaper than a jacket. How many percent are ten of the same shirts more expensive than a jacket?

14. In a regular quadrangular prism ABCDAiBiCiDi, the side AB of the base is equal to 5, and the side edge AAi is equal to V5. Points K and L are marked on the edges BC and Ci-Di, respectively, with CK = 2, and C \ L = 1. The y plane is parallel to the line BD and contains points K and L .
a) Prove that the line A \ C is perpendicular to the plane y.
b) Find the volume of the pyramid, the apex of which is the point A%, and the base is the section of the given prism by the y plane.

16. In trapezium ABCD bases AB and BC. Diagonal AC divides it into two isosceles triangles with bases AD and AB.
a) Prove that ray DB is the bisector of angle ADC.
b) Find AB if the lengths of the diagonals of the trapezoid are known: BD = 8 and AC = 5.

17. On December 31, 2016, Vasily borrowed 5,460,000 rubles from a bank at 20% per annum. The loan repayment scheme is as follows - on December 31 of each next year, the bank accrues interest on the remaining amount of the debt (that is, it increases the debt by 20%), then Vasily transfers x rubles to the bank. What should be the amount x for Vasily to pay off the debt in three equal payments (that is, for three years)?

19. Several whole numbers were written on the blackboard. Several times two numbers were erased from the board, the sum of which is divisible by 3.
a) Can the sum of all the numbers left on the board be 8,
if at first the numbers 3, 4, 5, 6, 7, 8 were written once,
9, 10, 11 and 12?
b) Can exactly two numbers remain on the board, the difference between which is equal to 54, if at first all natural numbers from 200 to 299 inclusive were written once?
c) It is known that exactly two numbers are left on the board, and first all natural numbers from 200 to 299 inclusive were written once. What is the largest value you can get if you divide one of the remaining numbers by the second of them?

The authors of the manual are leading experts who are directly involved in the development of methodological materials for preparing for the implementation of control measuring materials for the exam.
The book contains 50 variants of sets of standard test tasks in mathematics, compiled taking into account all the features and requirements of the Unified State Examination in Mathematics at the profile level in 2018.
The purpose of the manual is to provide readers with information about the structure and content of control measuring materials in mathematics at the profile level, the degree of difficulty of tasks.
The collection contains answers to all test options, provides solutions to all tasks of part 2 of five options.
In addition, examples of forms used in the exam for recording answers and decisions are given.
The manual can be used by teachers to prepare students for the exam in mathematics in the form of the Unified State Examination, as well as by high school students for self-training and self-control.

Examples.
On December 31, 2016, Vasily borrowed 5,460,000 rubles from a bank at 20% per annum. The loan repayment scheme is as follows - on December 31 of each next year, the bank accrues interest on the remaining amount of the debt (that is, it increases the debt by 20%), then Vasily transfers x rubles to the bank. What should be the amount x for Vasily to pay off the debt in three equal payments (that is, for three years)?

Several whole numbers were written on the blackboard. Several times two numbers were erased from the board, the sum of which is divisible by 3.
a) Can the sum of all the numbers left on the board equal 8 if the numbers 3, 4, 5, 6, 7, 8, 9, 10, 11 and 12 were first written once?
b) Can exactly two numbers remain on the board, the difference between which is equal to 54, if at first all natural numbers from 200 to 299 inclusive were written once?
c) It is known that exactly two numbers are left on the board, and first all natural numbers from 200 to 299 inclusive were written once. What is the largest value you can get if you divide one of the remaining numbers by the second of them?

Free download e-book in a convenient format, watch and read:
Download the book USE 2018, Mathematics, Profile level, 50 options, Typical test tasks, Yashchenko I.V., Volchkevich M.A., Vysotsky I.R. - fileskachat.com, fast and free download.

• USE 2019, Mathematics, Profile level, 50 options, Typical test tasks, Yashchenko I.V., Volchkevich M.A., Vysotsky I.R.
• USE 2019, Mathematics, Profile level, 36 options, Yashchenko I.V., Volchkevich M.A., Vysotsky I.R., 2019
• USE 2019, Mathematics, Profile level, 14 options, Typical test tasks, Yashchenko I.V., Volchkevich M.A., Vysotsky I.R.
• USE 2018, Mathematics, Profile level, 36 options, Typical test tasks and 800 tasks of part 2, Yashchenko I.V., Volchkevich M.A., Vysotsky I.R.

The following tutorials and books.

The authors of the manual are leading experts who are directly involved in the development of methodological materials for preparing for the implementation of control measuring materials for the exam.
The book contains 50 variants of sets of standard test tasks in mathematics, compiled taking into account all the features and requirements of the Unified State Exam in Mathematics at the profile level in 2019.
The purpose of the manual is to provide readers with information about the structure and content of control measuring materials in mathematics at the profile level, the degree of difficulty of tasks.
The collection contains answers to all test options, provides solutions to all tasks of part 2 of five options.
In addition, examples of forms used in the exam for recording answers and decisions are given.
The manual can be used by teachers to prepare students for the exam in mathematics in the form of the Unified State Examination, as well as by high school students for self-training and self-control.

Examples.
At the ceramic tableware factory, 10% of the produced plates are defective. During product quality control, 55% of defective plates are detected. The rest of the plates are for sale. Find the probability that a plate randomly selected at the time of purchase has no defects. Round your answer to the nearest hundredth.

Two teams, consisting of workers of the same qualifications, simultaneously began to fulfill two identical orders. There were 13 workers in the first brigade, and 14 workers in the second. 7 days after the start of work, 4 workers from the second brigade moved to the first brigade. As a result, both orders were completed simultaneously. Find how many days it took to complete the orders.

TABLE OF CONTENTS.
Instructions for performing work.
Reference materials.
Training work 1.
Part 1.
Part 2.
Training work 2.
Part 1.
Part 2.
Training work 3.
Part 1.
Part 2.
Training work 4.
Part 1.
Part 2.
Training work 5.
Part 1.
Part 2.
Training work 6.
Part 1.
Part 2.
Training work 7.
Part 1.
Part 2.
Training work 8.
Part 1.
Part 2.
Training work 9.
Part 1.
Part 2.
Training work 10.
Part 1.
Part 2.
Training work 11.
Part 1.
Part 2.
Training work 12.
Part 1.
Part 2.
Training work 13.
Part 1.
Part 2.
Training work 14.
Part 1.
Part 2.
Training work 15.
Part 1.
Part 2.
Training work 16.
Part 1.
Part 2.
Training work 17.
Part 1.
Part 2.
Training work 18.
Part 1.
Part 2.
Training work 19.
Part 1.
Part 2.
Training work 20.
Part 1.
Part 2.
Training work 21.
Part 1.
Part 2.
Training work 22.
Part 1.
Part 2.
Training work 23.
Part 1.
Part 2.
Training work 24.
Part 1.
Part 2.
Training work 25.
Part 1.
Part 2.
Training work 26.
Part 1.
Part 2.
Training work 27.
Part 1.
Part 2.
Training work 28.
Part 1.
Part 2.
Training work 29.
Part 1.
Part 2.
Training work 30.
Part 1.
Part 2.
Training work 31.
Part 1.
Part 2.
Training work 32.
Part 1.
Part 2.
Training work 33.
Part 1.
Part 2.
Training work 34.
Part 1.
Part 2.
Training work 35.
Part 1.
Part 2.
Training work 36.
Part 1.
Part 2.
Training work 37.
Part 1.
Part 2.
Training work 38.
Part 1.
Part 2.
Training work 39.
Part 1.
Part 2.
Training work 40.
Part 1.
Part 2.
Training work 41.
Part 1.
Part 2.
Training work 42.
Part 1.
Part 2.
Training work 43.
Part 1.
Part 2.
Training work 44.
Part 1.
Part 2.
Training work 45.
Part 1.
Part 2.
Training work 46.
Part 1.
Part 2.
Training work 47.
Part 1.
Part 2.
Training work 48.
Part 1.
Part 2.
Training work 49.
Part 1.
Part 2.
Training work 50.
Part 1.
Part 2.
Problem solving. Part 2.
Training work 6. Part 2.
Training work 11. Part 2.
Training work 21. Part 2.
Training work 26. Part 2.
Training work 36. Part 2.
Answers.
Training work 1.
Training work 2.
Training work 3.
Training work 4.
Training work 5.
Training work 6.
Training work 7.
Training work 8.
Training work 9.
Training work 10.
Training work 11.
Training work 12.
Training work 13.
Training work 14.
Training work 15.
Training work 16.
Training work 17.
Training work 18.
Training work 19.
Training work 20.
Training work 21.
Training work 22.
Training work 23.
Training work 24.
Training work 25.
Training work 26.
Training work 27.
Training work 28.
Training work 29.
Training work 30.
Training work 31.
Training work 32.
Training work 33.
Training work 34.
Training work 35.
Training work 36.
Training work 37.
Training work 38.
Training work 39.
Training work 40.
Training work 41.
Training work 42.
Training work 43.
Training work 44.
Training work 45.
Training work 46.
Training work 47.
Training work 48.
Training work 49.
Training work 50.

Free download e-book in a convenient format, watch and read:
Download the book USE 2019, Mathematics, Profile level, 50 options, Typical test tasks, Yashchenko I.V., Volchkevich M.A., Vysotsky I.R. - fileskachat.com, fast and free download.

• USE 2019, Mathematics, Profile level, 36 options, Yashchenko I.V., Volchkevich M.A., Vysotsky I.R., 2019
• USE 2019, Mathematics, Profile level, 14 options, Typical test tasks, Yashchenko I.V., Volchkevich M.A., Vysotsky I.R.
• USE 2018, Mathematics, Profile level, 50 options, Typical test tasks, Yashchenko I.V., Volchkevich M.A., Vysotsky I.R.

annotation

The authors of the manual are leading experts who are directly involved in the development of methodological materials for preparing for the implementation of control measuring materials for the exam. The book contains 50 variants of sets of typical test tasks in mathematics, compiled taking into account all the features and requirements of the Unified State Examination in Mathematics of the Basic Level. The purpose of the manual is to provide readers with information about the structure and content of control measuring materials in mathematics, the degree of difficulty of tasks. The collection contains answers to all variants of tests. In addition, examples of forms used in the exam for recording answers and decisions are given. The manual can be used by teachers to prepare students for the exam in mathematics in the form of the Unified State Examination, as well as by high school students for self-training and self-control.

Textbook example

The examination paper includes 20 tasks.
3 hours (180 minutes) are allotted to complete the work.
Answers to tasks are written according to the samples below in the form of a number or a sequence of numbers. First, write down the answers to the tasks in the answer field in the text of the work, and then transfer them to the answer sheet No. 1 to the right of the number of the corresponding task.
If the answer is a sequence of numbers, as in the example below, then write this sequence in the answer sheet No. 1 without spaces, commas and other additional characters.
All USE forms are filled in with bright black ink. It is allowed to use gel, or capillary, or fountain pens.
When completing assignments, you can use a draft. Draft entries do not count towards the assessment of the work.
The points you get for completed tasks are summed up. Try to complete as many tasks as possible and score the most points.

Work instructions 4
Reference materials 6
Option 1 11
Option 2 16
Option 3 21
Option 4 26
Option 5 31
Option 6 36
Option 7 41
Option 8 46
Option 9 52
Option 10 58
Option 11 63
Option 12 68
Option 13 73
Option 14 78
Option 15 84
Option 16 89
Option 17 94
Option 18 99
Option 19 104
Option 20 109
Option 21 114
Option 22 119
Option 23 124
Option 24 129
Option 25 134
Option 26 139
Option 27 144
Option 28 149
Option 29 154
Option 30 159
Option 31 164
Option 32 169
Option 33 174
Option 34 179
Option 35 184
Option 36 189
Option 37 194
Option 38 199
Option 39 204
Option 40 209
Option 41 214
Option 42 220
Option 43 225
Option 44 230
Option 45 235
Option 46 240
Option 47 245
Option 48 250
Option 49 255
Option 50 260
Answers 266

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