The USE in mathematics is one of the main tests for school graduates before they receive a certificate and enter a higher educational institution. This version of knowledge control is used to assess knowledge in the disciplines obtained in the process schooling. Single State exam takes place in the form of testing, the preparation of tasks for the final test is carried out by Rosobrnadzor and other authorized bodies in the field of education. The passing score in mathematics depends on the individual requirements of the university in which it entersgraduate. Successfully passing the exam with a high mark is an important success factor for admission.

Mathematics at the profile level is necessary for admission to technical and economic universities. The basis of examination tasks is the basic level, more complex tasks and examples are added to it. Short and long answers are expected:

• The first tasks do not require in-depth knowledge - this is a test of basic knowledge;
• The next 5 are more difficult, requiring an average and high level of mastery of the subject. These tasks are checked using a computer, since the answer to them is short.

Detailed answers are required for the last seven tasks. A group of experts is assembled for verification. The main thing is that, despite the complexity of the tasks that are included in profile level, they fully correspond school curriculum. Why might they be difficult? To successfully solve these examples and problems, not only dry knowledge is required, but also the ability to creatively approach the solution, apply knowledge in a non-standard situation. It is the wording that causes difficulty.

If the student chooses this level, this implies his desire to continue studying in the future. exact sciences in higher educational institution. The choice in favor of a specialized exam also indicates that the level of knowledge of the student is quite high, in other words, no fundamental preparation is needed.
The preparation process includes repetition of the main sections, problem solving increased complexity that require a non-standard, creative approach.

Preparation methods

• Basic training is carried out at the school, where the student learns the basics, sometimes the teacher conducts additional electives for graduates. The main recommendation is to carefully and carefully master all topics, especially in the final class.
• Independent work: this requires special self-discipline, will and self-control. You need to carefully read . The problem is in the direction - only a specialist can competently direct the future applicant to those topics that need to be paid attention.
• Tutoring: professional specialist help you solve complex problems quickly and efficiently.
• Courses and online learning: a modern and proven way to save time and money. An important advantage: you can take tests online, get answers quickly, and train on different tasks.

“I will solve the exam in mathematics at the profile level” is an opportunity to prepare for the exam and successfully pass it.

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

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

The structure of the basic level of the exam in mathematics

The Foundation Level Mathematics Exam consists of one part , including 20 tasks with a short answer. 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 digit sequence .

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

Average general education

UMK line G. K. Muravina. Algebra and the beginnings of mathematical analysis (10-11) (deep)

Line UMK Merzlyak. Algebra and the Beginnings of Analysis (10-11) (U)

Maths

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

We analyze tasks and solve examples with the teacher

The profile-level examination paper 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 tasks:

• 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 (full record of the decision with the rationale for the actions performed).

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

“In order to obtain a school certificate, a graduate must pass two mandatory exams in USE form, one of which is mathematics. In accordance with the Concept for the Development of Mathematical Education in Russian Federation The USE in mathematics is divided into two levels: basic and specialized. Today we will consider options for the profile level.

Task number 1- checks the ability of USE participants 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 An expense meter was installed in the apartment where Petr lives cold water(counter). On the first of May, the meter showed an consumption of 172 cubic meters. m of water, and on the first of June - 177 cubic meters. m. What amount should Peter pay for cold water for May, if the price of 1 cu. 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 (cu m)

2) 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 tasks of the exam. The majority of graduates successfully cope with it, which indicates the possession of the definition of the concept of function. Task type No. 2 according to the requirements codifier is a task for using the acquired knowledge and skills in practical activities and everyday life. Task No. 2 consists of describing, using functions, various real relationships between quantities and interpreting 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 with various ways of specifying the function and describe the behavior and properties of the function according to its graph. It is also necessary to be able to find the maximum or smallest value and build graphs of the studied functions. The mistakes made are of a random nature in reading the conditions of the problem, reading the diagram.

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Example 2 The figure shows the change in the exchange value of one share of a mining company in the first half of April 2017. On April 7, the businessman purchased 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 remaining ones. 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 after the sale of 1000 shares.

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

The video course "Get an A" includes all the topics necessary for a successful passing the exam in mathematics for 60-65 points. Completely all tasks 1-13 profile exam mathematics. Also suitable for passing the Basic USE in mathematics. If you want to pass the exam with 90-100 points, you need to solve part 1 in 30 minutes and without mistakes!

Preparation course for the exam for grades 10-11, as well as for teachers. Everything you need to solve part 1 of the exam in mathematics (the first 12 problems) and problem 13 (trigonometry). And this is more than 70 points on the Unified State Examination, and neither a hundred-point student nor a humanist can do without them.

All the necessary theory. Quick solutions, traps and secrets of the exam. All relevant tasks of part 1 from the Bank of FIPI tasks have been analyzed. The course fully complies with the requirements of the USE-2018.

The course contains 5 large topics, 2.5 hours each. Each topic is given from scratch, simply and clearly.

Hundreds of exam tasks. Text problems and probability theory. Simple and easy to remember problem solving algorithms. Geometry. Theory, reference material, analysis of all types of USE tasks. Stereometry. Cunning tricks for solving, useful cheat sheets, development of spatial imagination. Trigonometry from scratch - to task 13. Understanding instead of cramming. Visual explanation of complex concepts. Algebra. Roots, powers and logarithms, function and derivative. Base for solving complex problems of the 2nd part of the exam.

Evaluation

two parts, including 19 tasks. Part 1 Part 2

3 hours 55 minutes(235 minutes).

Answers

But you can make a compass Calculators on the exam not used.

the passport), pass and capillary or! Allowed to take with myself water(in a transparent bottle) and food

The examination paper consists of two parts, including 19 tasks. Part 1 contains 8 tasks of a basic level of complexity with a short answer. Part 2 contains 4 tasks advanced level difficulties with a short answer and 7 tasks high level Difficulties with extended answers.

To complete the examination work in mathematics is given 3 hours 55 minutes(235 minutes).

Answers to tasks 1–12 are recorded as an integer or ending decimal. Write the numbers in the answer fields in the text of the work, and then transfer them to the answer sheet No. 1 issued during the exam!

When doing work, you can use the ones issued with the work. You can only use a ruler, but you can make a compass with your own hands. It is forbidden to use tools with reference materials printed on them. Calculators on the exam not used.

You must have an identity document with you for the exam. the passport), pass and capillary or gel pen with black ink! Allowed to take with myself water(in a transparent bottle) and food(fruit, chocolate, buns, sandwiches), but may be asked to leave in the hallway.