Re ege gushchin. Will I decide the Unified State Exam for you? This section is for students

Essentially, the program is a set of digitized collections that can be useful in the process of preparing for testing. In this case, the Android version of your mobile device must be at least 4.0.

Main advantages

With this convenient application, you can prepare for the upcoming Unified State Exam at any convenient time. For any of the subjects, 15 training options of the new format are provided. By the way, the application includes both the usual tests and training in realistic mode.

The developers are constantly updating tasks, so you will always have access to up-to-date information. A thematic list of all available tests is also provided.

Installation and use

The program has a clear and simple interface. In the main menu you will find all the important elements that will be lined up in a column. Among them you can find exam mode, task options, settings and theory.

There are several options available for each item. If we talk about the subjects themselves, the collection includes physics, mathematics, chemistry, computer science and other disciplines. By the way, 2 levels of mathematics are offered (profile, basic).

When you use the tests for the first time, you will need to first download them to your device. Moreover, you will have to search for tests on Google Play yourself, since links to download them are not provided in the program.

In this section we are preparing for the Unified State Examination in mathematics as a basic profile level- we present task analyzes, tests, exam descriptions and useful recommendations. Using our resource, you will at least understand how to solve problems and be able to successfully pass the Unified State Exam in mathematics in 2019. Begin!

The Unified State Examination in mathematics is a mandatory exam for any student in the 11th grade, so the information presented in this section is relevant for everyone. The mathematics exam is divided into two types - basic and specialized. In this section I provide an analysis of each type of task with a detailed explanation for two options. Unified State Exam assignments strictly thematic, so for each issue you can give precise recommendations and provide the theory necessary specifically for solving this type of task. Below you will find links to assignments, by clicking on which you can study the theory and analyze examples. Examples are constantly replenished and updated.

Structure of the basic level of the Unified State Examination in mathematics

The examination paper in basic level mathematics consists of one piece , including 20 short-answer tasks. All tasks are aimed at testing the development of basic skills and practical skills in applying mathematical knowledge in everyday situations.

The answer to each of tasks 1–20 is integer, final decimal , or sequence of numbers .

A task with a short answer is considered completed if the correct answer is written down in answer form No. 1 in the form provided for in the instructions for completing the task.

The exam program, as in previous years, is composed of materials from the main mathematical disciplines. The tickets will include mathematical, geometric, and algebraic problems.

There are no changes in the KIM Unified State Exam 2020 in mathematics at the profile level.

Features of Unified State Examination tasks in mathematics 2020

  • When preparing for the Unified State Exam in mathematics (profile), pay attention to the basic requirements of the examination program. It is designed to test knowledge of an in-depth program: vector and mathematical models, functions and logarithms, algebraic equations and inequalities.
  • Separately, practice solving problems in .
  • It is important to show innovative thinking.

Exam structure

Unified State Exam assignments specialized mathematics divided into two blocks.

  1. Part - short answers, includes 8 problems that test basic mathematical preparation and the ability to apply mathematics knowledge in everyday life.
  2. Part - short and detailed answers. It consists of 11 tasks, 4 of which require a short answer, and 7 - a detailed one with arguments for the actions performed.
  • Advanced difficulty- tasks 9-17 of the second part of KIM.
  • High level of difficulty- tasks 18-19 –. This part of the exam tasks tests not only the level of mathematical knowledge, but also the presence or absence of a creative approach to solving dry “numerical” tasks, as well as the effectiveness of the ability to use knowledge and skills as a professional tool.

Important! Therefore, in preparation for Unified State Exam theory In mathematics, always support them by solving practical problems.

How will points be distributed?

The tasks of the first part of KIM in mathematics are close to Unified State Exam tests basic level, so high score It is impossible to dial on them.

The points for each task in mathematics at the profile level were distributed as follows:

  • for correct answers to problems No. 1-12 - 1 point;
  • No. 13-15 – 2 each;
  • No. 16-17 – 3 each;
  • No. 18-19 – 4 each.

Duration of the exam and rules of conduct for the Unified State Exam

To complete the exam paper -2020 the student is assigned 3 hours 55 minutes(235 minutes).

During this time, the student should not:

  • behave noisily;
  • use gadgets and other technical means;
  • write off;
  • try to help others, or ask for help for yourself.

For such actions, the examinee may be expelled from the classroom.

On State exam mathematics allowed to bring Bring only a ruler with you; the rest of the materials will be given to you immediately before the Unified State Exam. are issued on the spot.

Effective preparation is the solution online tests in mathematics 2020. Choose and get the maximum score!

About the exam

dateUnified State Exam
Early period
March 20 (Fri)geography, literature
March 23 (Mon)Russian language
March 27 (Fri)mathematics B, P
March 30 (Wed)foreign languages(except for the “Speaking” section), biology, physics
April 1 (Wed)
April 3 (Fri)social studies, computer science and ICT
April 6 (Mon)history, chemistry
April 8 (Wed)reserve: geography, chemistry, computer science and ICT, foreign languages ​​(section “Speaking”), history
April 10 (Fri)reserve: foreign languages ​​(except for the “Speaking” section), literature, physics, social studies, biology
April 13 (Mon)reserve: Russian language, mathematics B, P
Main stage
May 25 (Mon)geography, literature, computer science and ICT
May 28 (Thu)Russian language
June 1 (Mon)mathematics B, P
June 4 (Thu)history, physics
June 8 (Mon)social studies, chemistry
June 11 (Thu)foreign languages ​​(except for the “Speaking” section), biology
June 15 (Mon)foreign languages ​​(section “Speaking”)
June 16 (Tue)foreign languages ​​(section “Speaking”)
June 18 (Tue)reserve: history, physics
June 19 (Fri)reserve: geography, literature, computer science and ICT, foreign languages ​​(section “Speaking”)
June 20 (Sat)reserve: foreign language (except for the “Speaking” section), biology
June 22 (Mon)reserve: Russian language
June 23 (Tue)reserve: social studies, chemistry
June 24 (Wed)reserve: history, physics
June 25 (Thu)reserve: mathematics B, P
June 29 (Mon)reserve: for all academic subjects

Total number of main participants period of the Unified State Exam in mathematics at the profile level in 2018 - more than 391 thousand people. The average test score in 2018 increased by more than 2 test points compared to 2017. The number of exam participants who scored 61 points or more increased over the year from 120.6 thousand to 125.6 thousand. At the same time, the greatest growth was shown by completing tasks with a short answer, tasks with complete solution in general, performed slightly worse than in 2017.

As in previous years, the minimum primary score required to pass the exam was 6 (27 test points). In 2018 minimum score 7.48% of exam participants failed, in 2017 - 14.35%, this figure has almost doubled. The upward trend in results relates to Unified State Exam results both for the country as a whole and for most regions.

More detailed analytical and methodological Unified State Exam materials 2018 available at .

EXAMINATION PLAN FOR THE USE IN MATHEMATICS 2019

Designation of the level of difficulty of the task: B - basic, P - advanced, V - high.

Content elements and activities tested

Task difficulty level

Maximum score for completing the task

Estimated task completion time (min.)
a basic level of/ profile level

Exercise 1.
Task 2. Be able to use acquired knowledge and skills in practical activities and in everyday life
Task 3.
Task 4.
Task 5.
Task 6. Be able to perform actions with geometric shapes, coordinates and vectors
Task 7.
Task 8. Be able to perform actions with geometric shapes, coordinates and vectors
Task 9. Be able to perform calculations and transformations
Task 10.
Task 11. Be able to build and explore simple mathematical models
Task 12. Be able to perform actions with functions
Task 13 (C1). Be able to solve equations and inequalities
Task 14 (C2). Be able to perform actions with geometric shapes, coordinates and vectors
Task 15 (C3). Be able to solve equations and inequalities
Task 16 (C4). Be able to perform actions with geometric shapes, coordinates and vectors
Task 17 (C5). Be able to use acquired knowledge and skills in practical activities and everyday life
Task 18 (C6). Be able to solve equations and inequalities
Task 19 (C7). Be able to build and explore simple mathematical models

Correspondence between minimum raw scores and 2019 minimum test scores. Order on amendments to Appendix No. 1 to the order Federal service on supervision in the field of education and science. .

OFFICIAL SCALE 2019

THRESHOLD SCORE
The order of Rosobrnadzor established minimal amount points, confirming that exam participants have mastered the basic general education programs secondary (full) general education in accordance with the requirements of the federal government educational standard secondary (complete) general education.
MATH THRESHOLD: 6 primary points(27 test points).

EXAMINATION FORMS
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Mathematics Part I-1

Mathematics Part I-2

Mathematics Part I-3

Maxim threw a dice twice, the sides of which are numbered from 1 to 6, and built a rectangle with sides equal to the numbers drawn. What is the probability that the area of ​​this rectangle will be greater than 15? Round your answer to the nearest hundredth.

Mathematics Part I-4

Mathematics Part I-5

Mathematics Part I-6

Mathematics Part I-7

The figure shows a graph of the derivative of the function f(x), defined on the interval [–5; 6]. Find the number of points on the graph of f(x), at each of which the tangent drawn to the graph of the function coincides with or is parallel to the x-axis

Mathematics Part I-8

Mathematics Part II-9

Mathematics Part II-10

Devices with a total resistance of R1 = 90 Ohms are connected to the power outlet. In parallel with them, an electric heater is supposed to be connected to the outlet. Determine the lowest possible resistance of this electric heater if it is known that when two conductors with resistances R1 Ohm and R2 Ohm are connected in parallel, their total resistance is given by the formula R_(total) = (R1*R2)/(R1+R2) (Ohm), and for For normal functioning of the electrical network, the total resistance in it must be at least 9 ohms. Express your answer in ohms.

Mathematics Part II-11

Mathematics Part II-12

Mathematics Part II-13

Mathematics Part II-14

The base of the pyramid SABCD is the parallelogram ABCD. Points K, L, M are located on the edges SA, SB, SC respectively, and at the same time

SK/SA = 1/2; SL/SB = 2/5; SM/SC = 2/3

A) Prove that the lines KM and LD intersect.

B) Find the ratio of the volume of the pyramid SKLMD to the volume of the pyramid SABCD.

Mathematics Part II-15

Mathematics Part II-16

In an isosceles trapezoid ABCD AD BC, AD = 21, AB = 10, BC = 9. The diagonals AC and BD divide the trapezoid into four overlapping triangles DAB, ABC, BCD, CDA. Circles w1, w2, w3, w4 are inscribed in each triangle, respectively, the centers of which are located at points O1, O2, O3, O4.

A) Prove that the quadrilateral O1O2O3O4 is a rectangle.

Mathematics Part II-17

On April 15, it is planned to take out a loan in the amount of 900 thousand rubles from the bank for 11 months.
The conditions for its return are as follows:
- on the 1st day of each month, the debt increases by p% compared to the end of the previous month;
- from the 2nd to the 14th of each month it is necessary to pay part of the debt in one payment;
- on the 15th day of each month from the 1st to the 10th month, the debt should be the same amount less than the debt on the 15th day of the previous month;
- On the 15th day of the 10th month, the debt amounted to 200 thousand rubles;
- by the 15th day of the 11th month, the debt must be repaid in full.
Find p if the bank was paid a total of 1021 thousand rubles.

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