As in previous years, the division of exams into basic and specialized levels remains. But unlike the previous three years, it will not be possible to take both exams in one session, you will have to decide on the choice of the level in advance. The results of the USE at the basic level are recognized by educational organizations of secondary general education and educational organizations of secondary vocational education as the results of state final certification, i.e. allow you to get a full-fledged document on secondary education. The tasks of the basic variant are very simple, however basic variant intended for attestation of graduates who do not plan to continue their education in professions that have special requirements for the level of mathematical training, i.e. graduates who have passed this type of exam will not be able to enter universities in which the study programs include certain exact sciences. And there are quite a few such universities, to put it mildly.
In my opinion, graduates of the intermediate level of academic performance are faced with a difficult task - to take a risk and try to pass the exam of the profile level of difficulty or stay at the basic one, but limit themselves in the future to the choice of a profession only in the purely humanitarian sphere. Good for those who have already decided on their talents and inclinations. What should the rest of us do?

I believe that in the coming year, the competition for science and technology specialties will continue to grow. Therefore, I recommend that, starting from the basic level, make sure that you can handle this option if necessary. And then, during the school year, build up your abilities. In this case, you will limit yourself in choosing a future profession only by your own inclinations, and not by the fear of difficult exams.

The basic level option contains 20 tasks, designed for 3 hours of work and designed to test the ability to apply the knowledge gained in practice, develop logical thinking, and the ability to work with information. As in the previous year, the basic level examination paper will contain a References section.

I suggest that you familiarize yourself with the Demo version in an interactive form , to
1) check your capabilities and decide on the training regime: what level you will prepare for during the academic year;
2) start preparing now and continue it at any time convenient for you.
To do this, first solve the task yourself, check the answer, then see a possible solution.

The answer to each task is a final decimal fraction, integer, or sequence of numbers. If the answer is a sequence of numbers, then enter this sequence in the answer field without spaces, commas or other additional characters. You do not need to write the measurement units. Also, do not put spaces at the beginning and end of the line.

Demo version with solutions.
Maths. Grade 11. Unified State Exam 2020. Basic level.

Do not flatter yourself, of course I will not decide the USE for you, I will not go to the exam for you, I will not bring you the magic elixir of Omniscience or Answers to the Unified State Exam in Mathematics. No, none of this will happen. But I can solve problems for you from an open bank of tasks (hereinafter referred to as OBZ) - that is, take you along the path from what you are likely to see on the exam. It all depends on you. In this section of my site, you can always see video tutorials, analyzes of tasks from the OBZ, recommendations for solving various problems, useful literature for self-preparation.

Will I decide for you the USE of the basic level and Will I decide for you the USE of the profile level

Everything is quite simple here - our exam is divided into two levels. For basic - you get a grade and a certificate as a result. That is, for the majority, this is where the "problems" with mathematics end. If, however, you are going to go into the technical field, or to hedge yourself “just in case, pass the mathematics profile” - then Welcome to the problems of increased and high complexity, covering all areas of mathematics from grades 5 to 11, plus related sciences and examples from life.

At the same time, the separation of materials always takes place. You can see the mark "profile" or "base", so you will not get confused in a large amount of information.

Is this section for learners?

In many ways, yes. But it is also useful to read materials or watch video tutorials for those who are interested in mathematics, young colleagues. It will always be interesting to receive comments, feedback, criticism on all proposed materials. This will allow you to more accurately and rationally distribute efforts in the work on this project.

How to navigate the section on the exam

I will solve the exam - it is planned as a large section. Use the site search for easy access to tasks. You can navigate in the "Categories" section, which is located in the right column of the site, select the required category of tasks there. Plus, at the bottom of this page, you can see relevant materials that have been added recently. This will allow you to stay always up to date with updates to materials.

About the exam

The total number of participants in the main period of the USE in mathematics of the profile level in 2018 is more than 391 thousand people. The average test score in 2018 increased in comparison with 2017 by more than 2 test points. 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 the performance of tasks with a short answer, tasks with a complete solution were generally performed somewhat worse than in 2017 ...

As in previous years, the minimum primary score required to pass the exam was 6 (27 test points). In 2018, 7.48% of exam participants did not score the minimum score, in 2017 - 14.35%, this indicator has almost doubled. The upward trend in results refers to the results of the USE both in the country as a whole and in most regions.

More detailed analytical and methodological materials of the USE 2018 are available at.

PLAN OF THE EXAMINATION WORK OF THE USE IN MATH 2019

Designation of the level of difficulty of the task: B - basic, P - increased, C - high.

Correspondence between the minimum primary scores and the minimum test scores of 2019. Order on amendments to Appendix No. 1 to the order of the Federal Service for Supervision in Education and Science. ...

OFFICIAL SCALE 2019

THRESHOLD SCORE
The order of Rosobrnadzor established the minimum number of points, confirming the mastering by the participants of examinations of the basic general education programs of secondary (complete) general education in accordance with the requirements of the federal state educational standard of secondary (complete) general education.
MATH THRESHOLD: 6 primary points (27 test points).

EXAMINATION FORM
You can download high quality forms by

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

The main advantages

With this handy application, you can prepare for the upcoming USE 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 familiar tests and training in a realistic mode.

The developers are constantly updating tasks, so you will always have access to the latest 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 arranged in a column. Among them you can find the exam mode, problem options, settings and theory.

Several options are offered for each subject. 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, they will need to be downloaded to your device first. Moreover, you will have to look for tests on Google Play on your own, since links to their downloads are not presented in the program.

Secondary general education

UMK line G.K. Muravin. Algebra and the beginnings of mathematical analysis (10-11) (in-depth)

UMK Merzlyak line. Algebra and the beginnings of analysis (10-11) (U)

Maths

Preparation for the exam in mathematics (profile level): tasks, solutions and explanations

The examination work at the profile level lasts 3 hours 55 minutes (235 minutes).

Minimum threshold- 27 points.

The examination paper consists of two parts, which differ in content, complexity and number of tasks.

The defining feature of each part of the work is the form of assignments:

• part 1 contains 8 tasks (tasks 1-8) with a short answer in the form of an integer or a final decimal fraction;
• Part 2 contains 4 tasks (tasks 9-12) with a short answer in the form of an integer or a final decimal fraction and 7 tasks (tasks 13-19) with a detailed answer (complete record of the decision with justification of the actions performed).

Panova Svetlana Anatolievna, teacher of mathematics of the highest category of the school, work experience 20 years:

“In order to receive a school certificate, a graduate must pass two compulsory examinations in the form of the Unified State Exam, one of which is mathematics. In accordance with the Concept for the Development of Mathematical Education in the Russian Federation, the Unified State Exam in Mathematics is divided into two levels: basic and specialized. Today we will consider options for the profile level. "

Task number 1- tests the USE participants' ability to apply the skills acquired in the course of 5-9 grades in elementary mathematics in practical activities. The participant must have computational skills, be able to work with rational numbers, be able to round decimal fractions, be able to convert one unit of measurement to another.

Example 1. In the apartment where Peter lives, a cold water meter (meter) was installed. On May 1, the meter showed a consumption of 172 cubic meters. m of water, and on June 1 - 177 cubic meters. m. What amount should Peter pay for cold water for May, if the price of 1 cubic meter. m of cold water is 34 rubles 17 kopecks? Give your answer in rubles.

Solution:

1) Find the amount of water spent per month:

177 - 172 = 5 (cubic meters)

2) Let's find how much money will be paid for the spent water:

34.17 5 = 170.85 (rub)

Answer: 170,85.

Task number 2-is one of the simplest exam tasks. Most graduates successfully cope with it, which testifies to the possession of the definition of the concept of function. Type of task number 2 according to the requirements codifier is a task for using the acquired knowledge and skills in practical activities and everyday life. Task number 2 consists of the description using functions of various real relationships between quantities and the interpretation of their graphs. Task number 2 tests the ability to extract information presented in tables, diagrams, graphs. Graduates need to be able to determine the value of a function by the value of the argument in various ways of defining a function and describe the behavior and properties of a function according to its schedule. It is also necessary to be able to find the largest or smallest value on the graph of the function and plot the graphs of the studied functions. The mistakes made are random in reading the problem statement, reading the diagram.

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Example 2. The figure shows the change in the market value of one share of a mining company in the first half of April 2017. On April 7, the businessman acquired 1,000 shares of this company. On April 10, he sold three-quarters of the purchased shares, and on April 13, he sold all the rest. How much did the businessman lose as a result of these operations?

Solution:

2) 1000 3/4 = 750 (shares) - make up 3/4 of all purchased shares.

6) 247500 + 77500 = 325000 (rubles) - the businessman received 1000 shares after the sale.

7) 340,000 - 325,000 = 15,000 (rubles) - the businessman lost as a result of all operations.