The exam program, as in previous years, is composed of basic materials 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
Quests Unified State Exam profile mathematicians divided into two blocks.
- Part - short answers, includes 8 problems that test basic mathematical preparation and the ability to apply mathematics knowledge in everyday life.
- 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- problems 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 in 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!
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; the preparation of tasks for the final test is carried out 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 highly appreciated– an important factor for success during admission.
Profile-level mathematics is required for admission to technical and economic universities. The basis of examination tasks is basic level, more have been added to it complex tasks and examples. 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.
If a student chooses this level, this implies his desire to continue studying the exact sciences in higher education. 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 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.
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.
Many applicants are concerned about how to independently obtain the knowledge necessary to successfully pass tests before admission. In 2017, they often turn to the Internet to find a solution. There are many solutions, but it takes a long time to find the truly worthwhile ones. Fortunately, there are well-known and proven systems. One of them is I will solve the Unified State Exam by Dmitry Gushchin.
Dmitry Gushchin’s educational system, called “Solving the Unified State Exam,” implies comprehensive preparation for the upcoming exam. Dmitry Gushchin created and tried to provide the necessary knowledge for free so that the future generation could successfully pass exams. The system is designed for self-study items. I will solve the Unified State Examination is based on a uniform presentation of information, which sequentially, topic by topic, fits into the student’s brain.
Unified State Examination 2017 in mathematics, basic level
Dmitry Gushchin undertakes to help with exams such as the OGE and the Unified State Exam, using a very common technique. It lies in the fact that all new knowledge is presented and systematized by topic. The student can easily choose what he needs to repeat to finally consolidate the material.
Tasks are available in basic and profile levels. A striking example of such tasks is mathematics. The main (basic) level covers the general school body of knowledge. It requires the knowledge that every student acquires in 11 years. The profile level is designed for graduates of specialized schools with a focus on a specific subject.
An interesting feature of the system is its similarity to a real exam. In the event of a final test assignment served in Unified State Exam format. The student can also find out his final score after taking the test. This helps motivate a person to achieve new goals and learn new material. Understanding your real chances in the exam helps you gather your thoughts and understand what exactly you need to learn.
The most popular subjects in “Solving the Unified State Exam” are provided along with others. Dmitry Gushchin's Russian language includes rules of grammar, punctuation and syntax, as well as vocabulary. Chemistry contains examples of solving specific problems, special formulas. Also, the chemistry section includes various compounds and concepts about chemicals. The biology section covers the life activity of all kingdoms of living organisms. It contains important theory that will ultimately help you pass the exam.
The next feature is that your progress is recorded and you can track your progress. This approach will help you motivate yourself even when you no longer feel like studying. Your own results always force you to do more.
The system also has criteria for evaluating work. They will make your exam preparation planned and thoughtful. The future student will always be able to read them and understand what the examiner will pay attention to. This is important in order to pay attention to certain important aspects of the work. In general, the student is fully aware of the importance of his choice and remembers the assessment criteria.
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.
