I’ll decide to print out the version for the exam. Exam in mathematics

The Unified State Examination in mathematics is one of the main tests for school graduates before receiving a certificate and entering a higher education institution. This type of knowledge control is used to assess knowledge in disciplines acquired during schooling. The Unified State Exam takes the form of testing; tasks for the final test are prepared by Rosobrnadzor and other authorized bodies in the field of education. The passing grade in mathematics depends on the individual requirements of the university to which one is applying.graduate. Successfully passing the exam with a high grade is an important factor for success in admission.

Profile-level mathematics is required for admission to technical and economic universities. The basis of the exam tasks is the basic level, with more complex problems and examples added to it. Short and detailed answers are expected:

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

Long 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 the profile level, they are fully consistent with the 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 a solution and apply knowledge in a non-standard situation. It is the wording that causes the difficulty.

If a student chooses this level, this implies his desire to continue studying the exact sciences at a higher educational institution. The choice in favor of a specialized exam also indicates that the student’s level of knowledge is quite high, in other words, fundamental preparation is not needed.
The preparation process includes repetition of the main sections, solving problems of increased complexity that require a non-standard, creative approach.

Methods of preparation

Basic training is carried out at school, where the student masters the basics, sometimes the teacher conducts additional electives for graduates. The main recommendation is to carefully and thoroughly master all topics, especially in graduate school.
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 guide the future applicant to those topics that need attention.
Tutoring: a professional specialist will help you solve complex tasks effectively and quickly.
Courses and online learning: a modern and proven method that saves time and money. An important advantage: you can take tests online, quickly get answers, and practice on different tasks.

“I will solve the Unified State Exam in mathematics at a specialized 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 provide analysis of problems, 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 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. The Unified State Exam tasks are 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, trailing 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.

Assessment

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.

passport), pass and capillary or! Allowed to take with myself water(in a transparent bottle) and I'm going

The examination paper consists of two parts, including 19 tasks. Part 1 contains 8 tasks of a basic difficulty level with a short answer. Part 2 contains 4 tasks of an increased level of complexity with a short answer and 7 tasks of a high level of complexity with a detailed answer.

The exam work in mathematics is allotted 3 hours 55 minutes(235 minutes).

Answers for tasks 1–12 are written down as a whole number or finite decimal fraction. Write the numbers in the answer fields in the text of the work, and then transfer them to answer form No. 1, issued during the exam!

When performing work, you can use the ones issued along with the work. Only a ruler is allowed, but it's possible make a compass with your own hands. Do not use instruments with reference materials printed on them. Calculators on the exam not used.

You must have an identification document with you during the exam ( passport), pass and capillary or gel pen with black ink! Allowed to take with myself water(in a transparent bottle) and I'm going(fruit, chocolate, buns, sandwiches), but they may ask you to leave them in the corridor.

Secondary general education

Line UMK G. K. Muravin. Algebra and principles of mathematical analysis (10-11) (in-depth)

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

Mathematics

Preparation for the Unified State Exam in mathematics (profile level): assignments, solutions and explanations

We analyze tasks and solve examples with the teacher

The profile level examination 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 the tasks:

part 1 contains 8 tasks (tasks 1-8) with a short answer in the form of a whole number 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 (a complete record of the solution with justification for the actions taken).

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

“In order to receive a school certificate, a graduate must pass two mandatory exams in the form of the Unified State Examination, one of which is mathematics. In accordance with the Concept for the Development of Mathematical Education in the Russian Federation, the Unified State Examination in mathematics is divided into two levels: basic and specialized. Today we will look at profile-level options.”

Task No. 1- tests the Unified State Exam participants’ ability to apply the skills acquired in the 5th to 9th grade course in elementary mathematics in practical activities. The participant must have computational skills, be able to work with rational numbers, be able to round decimals, and be able to convert one unit of measurement to another.

Example 1. In the apartment where Peter lives, a cold water flow meter (meter) was installed. On May 1, the meter showed a 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 in May, if the price is 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 m)

2) Let’s find how much money they will pay for wasted water:

34.17 5 = 170.85 (rub)

Answer: 170,85.

Task No. 2- is one of the simplest exam tasks. The majority of graduates successfully cope with it, which indicates knowledge of the definition of the concept of function. Type of task No. 2 according to the requirements codifier is a task on the use of 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 No. 2 tests the ability to extract information presented in tables, diagrams, and graphs. Graduates need to be able to determine the value of a function from the value of the argument in various ways of specifying the function and describe the behavior and properties of the function based on its graph. You also need to be able to find the largest or smallest value from a function graph and build graphs of the studied functions. Errors made are random 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 shares he purchased, and on April 13, he sold all the remaining shares. How much did the businessman lose as a result of these operations?

Solution:

2) 1000 · 3/4 = 750 (shares) - constitute 3/4 of all shares purchased.

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

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