How to prepare more effectively for the exam. How to quickly prepare for the exam in mathematics from scratch

Every year there are more and more 100-point scorers in Russia. The procedure for passing the Unified State Exam and entering universities is becoming clearer and more familiar. This requires incredible effort on the part of graduates and their parents. But how much does it cost to prepare for a unified exam today, literally, in rubles? And is it possible to pass with an “A” without the help of tutors?

Set up for success

It is good if, by the time he graduates from school, the future applicant has decided on the university and the direction of training. Some choose a specialty based on personal interests, others on the advice of their parents. 2017 graduate Evgeniy Shchanikov carefully studied the ratings of in-demand professions of the future.

“Before choosing a university, I studied the market; I never wanted to be a “middle manager,” said Zhenya. - Blue-collar professions are not very attractive. I want to go to medical school. This year, in addition to the core subjects, I am taking biology and chemistry. I study with tutors in all subjects except Russian and mathematics. We have very strong teachers, thanks to them for such training. It seems to me that they worry about us more than we do ourselves. We started preparing for Russian in 11th grade. Methodological days, additional classes in which we learn theory, pass it, and solve tests. Tests once a week, and then error analysis. On weekends there are consultations. I study with tutors 2 times a week - it costs 1,500 rubles. They prepare according to the Unified State Exam standards, so I’m not particularly worried. The mood is great. But sometimes it becomes a little scary because of the delivery procedure itself.”

Understanding the Unified State Exam system is 90% of success. The tests do not require anything supernatural. If you study with good grades and understand what they want from you at the Unified State Exam, you can easily pass it yourself. The main thing is not to be lazy.

2017 graduate Alina Kucher, on the contrary, she has never used the services of tutors and prepares for exams on her own, listening carefully to teachers.

“Understanding the Unified State Exam system is 90% of success,” Alina is sure. - The tests do not require anything supernatural. If you study with good grades and understand what they want from you at the Unified State Exam, you can easily pass it yourself. The main thing is not to be lazy. You need to give your all in class and complete all the teachers’ assignments. Solve the CMMs of previous years, make a plan for repeating the theory. Practice in solving options will give you the opportunity to understand your strengths and save time on the exam. So for now I’m only using my energy. I plan to enter Moscow State University, I am confident of success, because I have always studied perfectly.”

From personal experience

Sometimes the decision “where to go” comes suddenly. And he knows firsthand about the difficulties of such a situation 2016 graduate Elizaveta Demina.

“I started studying with tutors in the tenth grade,” says Lisa. - My parents wanted me to enter the Faculty of Physics and Technology. We spent a lot of money on extra classes. But in 11th grade I suddenly realized that I could no longer teach physics. Not mine. I decided to enter the journalism department. I began to prepare myself for the Unified State Exam in Russian language, mathematics, history and social studies. I went to preparatory courses. In fact, you can prepare for Russian without a tutor, repeat and learn the theory in the first semester, and spend the rest of the time on tests and essays. I prepared for basic mathematics “in a day.” My algebra teacher gave me a lot of useful knowledge. Watching a video with analysis of tasks from YouTube helped a lot. But with society and history it was very difficult. You need to learn the materials on time or start preparing in advance. I barely scored any points on them. In any case, I entered and now I remember my senior year as a test. I think I made the right choice, despite the money my parents “wasted”.”

He spoke about the fact that a tutor is not always the key to success. last year's graduate Konstantin Oleynik.

“In 2016, I couldn’t score the required number of points,” says Kostya. - In grades 10 and 11 I was preparing to enter the Polytechnic. He won the Olympics. I studied with tutors in all subjects, since what I learned in school was not enough. But teachers did not have enough time to study with each student. As a result, I passed physics with 80 points, and Russian with 40. I failed based on the total points. I entered another faculty. Now I don’t regret anything, but at that moment I was very upset. By the way, some of my classmates, due to the fact that their parents did not have funds for preparation, did not try to get a higher education. As for physics, I can give graduates some advice. The only thing that matters is practice. If you are preparing without tutors, you can watch webinars.”

Whom to pay?

What do the mentors themselves think about preparing for the Unified State Exam? The tutor does not always have a complete understanding of the correct and, most importantly, relevant preparation of children for the Unified State Exam, I am sure Olga Nesterenko, teacher of Russian language and literature at a secondary school in Sochi:

“A school teacher knows all the weak points of students,” says Olga Stanislavovna. - He has more experience working with children of this age, which means he understands their psychology. In addition, we, teachers, regularly work with the Unified State Examination and understand the methodology and assessment system. Many people complain about the inability to work with each student individually. Well, you need to rebuild, include elements of testing in the program, learn to organize brainstorming sessions and courses right at school. This is much more convenient for children, and most importantly, there is serious competition for unqualified tutors. Why should parents pay for what teachers are obligated to give their children? Good teachers should be paid by the state. And not a penny for the number of those who passed and who prepared them. Then there will be real savings for future applicants.”

The opposite opinion is physics teacher Alexander Zherebilo:

“The level of physics teaching, for example, at a university is radically different from that at school. - Teachers train the child exclusively on the format of a single exam. This does not provide real knowledge, because a technical subject is not just a set of rules. It needs to be understood. Therefore, a tutor, preferably a university teacher, will give more practical knowledge. It will prepare you not only for the exam, but also for further training. Everyone knows that many people can fail the first session thanks to the “school curriculum”. The very fact that a graduate is studying with a tutor has a positive effect on his motivation and understanding of his tasks. There is a difference in goals: the teacher has too many of them, he does not know how to teach a child to think and master a large volume at the same time. And for the Unified State Exam it is important not only to systematize knowledge, but also to understand the algorithm of actions.”

The school provides a set of factual information, but does not teach what to do with it next. Up to 90 percent of graduates today are not able to properly organize their time. They are used to following instructions: parents, teachers.

Head of the Department of Modern Russian Language at KubSU, Doctor of Philology, Professor, Honorary Worker of Higher Education in Russia Lidiya Isaeva:

“It is absolutely possible to prepare for the Unified State Exam in the Russian language as part of the school curriculum. The only part that might be difficult is the essay. However, a speech development program is also usually included in the lessons. So, in theory, it is quite possible to pass the exam without any special preparation. Another question is that not all schools allow students to fully master the material. Unfortunately, often even educational institutions with a good reputation prepare children superficially. All this becomes clear when analyzing the mistakes that applicants make during the preparatory courses.

The main goal of a teacher should be the ability to “teach students to learn independently,” to set tasks for themselves and solve them in an organized manner. And teachers, for various reasons, unfortunately do not devote enough time to this. The school provides a set of factual information, but does not teach what to do with it next. Up to 90 percent of graduates today are not able to properly organize their time. They are used to following instructions: parents, teachers... Without thinking about the consequences. And in such cases, a tutor can really help. An experienced specialist will find an individual psychological approach, not only provide knowledge, but also teach responsibility.”

How to properly prepare for the Unified State Exam in mathematics on your own and for free?

The Unified State Exam in mathematics has become a part of our reality, it is impossible to avoid it, so you need to relax and try to get the most out of the preparation process.

I won’t lie, it’s possible to prepare for the Unified State Exam in mathematics on your own and for free. But the student will need:

  • search for the necessary theory yourself,
  • collect algorithms for solving problems bit by bit,
  • motivate and organize yourself,
  • encourage yourself if something doesn't work out.

That is, to be in some sense on your own, since all of the above, in addition to, of course, a clear explanation of the material, is the function of the tutor.

How to properly prepare for the Unified State Exam in mathematics - without a tutor

Of course, if parents have the financial opportunity, then the help of a good person is a guarantee high-quality preparation for passing the Unified State Exam in mathematics.

But if this is not possible, then the high school student will have to work hard on his own. To help kids who want to do it on their own prepare for the Unified State Exam in mathematics and this site was created. In addition to articles with step-by-step analysis of tasks and video tutorials, the site has ones that can be purchased at a nominal price.
One video lecture contains all the necessary theory, algorithms for solving problems on a specific topic and, with due diligence of the student, can replace several classes with. My many years of experience in teaching mathematics allows me to explain the theory as simply, consistently and clearly as possible, and solve problems clearly and clearly. In addition, each one comes with a presentation, with which you can reproduce the solution to the problems yourself, starting from any step of the problem.

How to properly prepare for the Unified State Exam in mathematics - step by step

To get the most out of watching video lectures, I recommend the following steps:

1. Watch a video lecture on a relevant topic. The video lecture discusses in detail the solution to almost all types of problems on this topic.

2. Using a presentation, reproduce the solution to problems.

3. Make a selection of problems on this topic on the I will solve the Unified State Exam website and solve them.

If something is not clear, go back to watching the video lecture.

Before you start preparing for the exam, you need to decide what level of preparation is required at the end. If the goal is simply to obtain a certificate, that is, to “satisfy” the state and parents, then the requirements for the level of knowledge are minimal. In this case, it is enough to pass the Unified State Exam at a basic level to get a grade in mathematics for the certificate. For the minimum score you need to complete 7 tasks.

If the goals are more ambitious, then we prepare for the profile Unified State Exam. In 2016, the profile-level exam includes 19 tasks and consists of two parts.

Part 1 contains Tasks 1 to 8. These are tasks with a short answer. The answer can be either a whole number or a finite decimal fraction. In these tasks there is no need to provide a detailed solution; you just need to write the answer in the appropriate cells of the form. Conditions for the answer often help to identify an error in a solution, or select the desired root, and in some cases it is even easy to find the answer. When writing down the answer, you need to pay attention to the fact that the decimal point must be a comma, and not a period.

How to properly prepare for the Unified State Exam in mathematics - tasks from the Unified State Exam

Task 3 contains problems on planimetry to calculate lengths and areas. It contains both very simple tasks and more complex ones. To learn how to solve all types of problems, you need to repeat the entire planimetry course, including vectors and coordinates. Therefore, I recommend preparing for this Assignment 3 along with Assignment 6 (Planimetry, problems involving angles). To prepare for these tasks, I recommend a video course

Task 4 is problems on probability theory. In this task there are both very simple problems, the solution of which is based on the classical definition of probability, and more complex ones, the solution of which requires knowledge of theorems about the probabilities of events. The minicourse “Probability Theory” will help you prepare for solving problems of this type.

Task 5 tests the ability to solve the simplest rational, irrational, exponential, logarithmic and trigonometric equations. Basically, these are very simple equations, the solution of which comes down to simple linear and quadratic equations. The solution to almost all types of problems can be found in.

I call the problems from Task 7 “derivative problems in pictures.” These are qualitative problems that practically do not contain calculations, but they require a good understanding of what a derivative is, what its physical and geometric meaning is, and how to study the behavior of a function using the derivative. Video lectures and will help you understand all these issues.

This concludes the tasks of the first part.

The second part contains tasks of an increased and high level of complexity.

Task 9 is a calculation and transformation task. Here you need to know well the properties of a power with a rational exponent, the properties of the root degree, the properties of logarithms, and trigonometric formulas. The following video lectures will help you prepare for this task: , .

Task 10 - these are problems with practical content, which boil down to solving quadratic, exponential, rational, logarithmic and trigonometric equations and inequalities. These problems test the ability to carefully read conditions and rationally solve related equations and inequalities. You will find examples of solving problems of this type in.

Task 11 is word problems. A video course will help you learn how to solve different types of text problems.

And finally, the last problem with a short answer is Problem 12, which contains problems on finding the largest and smallest value of a function using the derivative. To successfully complete this assignment, you must be able to find the derivative of a function, as well as examine a function using the derivative. A video lecture will help you learn how to solve problems of this type.

Tasks 13-19 are tasks with a detailed answer, in which you need to justify your decision in detail. Moreover, an incorrect decision, even with the correct answer, is considered erroneous.

Task 13 is equations with a sample of solutions. Mostly these are trigonometric equations, but exponential, irrational and logarithmic ones can also be found. You can learn to solve problems of this type using the following video lectures and video courses:

Task 14 is a task of finding distances and angles in space, constructing a section of a polyhedron and finding the area of ​​the corresponding section. Most problems of this type are solved using the coordinate method. You can master the method of coordinates in space using a video course.

A video course will be a huge help in learning to solve stereometric problems. In this video course you will find algorithms for solving all types of problems from Task 14.

Task 15 are problems related to solving complex inequalities. Will help you learn to solve complex exponential, irrational and logarithmic inequalities, which consists of eight video lectures,

Problem 16 is a complex planimetric problem. A video lecture and analysis of problems in . will help you learn how to solve planimetric problems.

Task 17 - these are complex tasks with practical, mainly economic content. A video course and analysis of problems in

Task 18 are problems with parameters. A free video lecture will help you learn how to solve problems with parameters graphically. If you want to master solving all types of problems with parameters that can be encountered on the Unified State Examination in mathematics, it will help you, which consists of six video lectures. You will find a detailed step-by-step analysis of tasks with parameters in.

Task 19 is, in my opinion, the most difficult task of the exam, despite the fact that its solution uses theory that is studied in grades 6-8. The manuals from the corresponding section and video tutorials from will help you prepare to solve this problem.

For preparation for the Unified State Exam in mathematics useful to use the site reshuege.rf. It is very important to be able to check the answer - otherwise how to find outwhether the problem was solved correctly. When When preparing for an exam, it is important to learn to be honest with yourself and adequately assess your level of knowledge. Therefore, if you get the wrong answer in a problem,

  • you must first check whether the problem statement is understood correctly,
  • then try to find the error in the solution,
  • and don’t be shy about asking for help if the task doesn’t work out at all or the answer doesn’t add up.

About two weeks before the exam, you need to leave time to review all the material: solve standard options, learn to fill out assignment forms correctly. For this purpose, any collections with standard exam options are suitable, preferably publications of the Federal Institute of Pedagogical Measurements (FIPI).

Now, after reading these tips, you know how to properly prepare for the Unified State Exam in mathematics!

Good luck with your preparation for the Unified State Exam in mathematics!

The first piece of advice for preparing for the Unified State Exam may seem obvious: go to school, answer in class, always do your homework. Some high school students neglect their classes, focusing entirely on tests. Remember that schoolwork is the most important part of your preparation. In the end, the Unified State Exam is a test of what you have been doing for the eleventh year. Ideally, if you've done well in the subjects you're taking, you won't even have to do anything special to prepare for the final exam.

If you know that you didn’t study too hard, missed a lot, or didn’t do your homework, you will have to make extra efforts to prepare for the Unified State Exam.

Is it realistic to prepare for the Unified State Exam in a year? Yes. 9 - 10 months is enough time to catch up, if not all the lost material, then at least most of it. If desired, this can be done in two weeks - of course, at the expense of the amount of material learned. But if you plan your work correctly, losses can be minimized.

Where to start preparing for the exam

You should start preparing for the Unified State Exam with planning. Determine how much you will have to learn.

You probably already have an idea of ​​how well you know your subject, but it's important to understand what exactly the exam will ask. Carefully review the subject syllabus: perhaps there are topics that you have not yet covered in class, or works that you have not had time to read if you are preparing for the Unified State Exam in literature. These things will have to be learned from scratch.

Now sit down and slowly try to solve some demo version of the Unified State Exam in your subject. You will feel for yourself which questions are easy for you and which ones you need to work on, even if you have already covered these topics. You may not have understood them very well, and then you will have to repeat some of them.

Write down the topics you need to learn. Arrange them in order from the simplest to the most complex: this way you will quickly get into the working rhythm and get more done. Now you have an idea of ​​the amount of work ahead and can make a preparation plan for the Unified State Exam.

How to plan independent classes

Set aside specific days and hours for preparation - the wider the gaps, the more times a week you will have to study. Try not to reschedule or shorten your classes. A good way to counteract the temptation to skip is to give your schedule to family and friends so they know what days you're busy and can check in with you if necessary.

Leave a little extra time in case of illness or urgent matters. In the first few weeks or months, separate the types of assignments - for example, prepare for essays and Russian language tests on different days. Alternate between the times you study a new topic and times for revision.

What you will need

You will need textbooks, problem books and other materials to prepare for the Unified State Exam. Don't download the first manual you come across - it may be outdated or simply not the best. Do not read many sources at the same time, so as not to drown in different formulations. Consult with your teachers, with students you know, they will help you choose one or two textbooks that will be easier and more convenient to prepare for. Follow the news related to the Unified State Exam so as not to miss any change or innovation.

Now you have a work plan and materials with which you can prepare for the Unified State Exam in a year.

How to work with Unified State Exam tests

Some teachers believe that preparing for the Unified State Exam should consist of regularly working with tests. It is believed that the student needs to get used to this format of testing knowledge. There is a point in writing samples, but only when drawing up a plan to assess your level, and at the final stage of preparation. When you feel that you have learned everything you need to, find out how long it takes you to complete certain tasks in the test. This way you can think through your behavior during the exam, understand which questions to answer first and which ones can wait. Remember that tasks are worth different amounts of points.

Tests should not take up all your preparation time. Your goal is to understand the subject you are about to take. Different disciplines have their own characteristics that should be taken into account when preparing.

Russian language

For example, the most difficult and important part of the Unified State Exam in the Russian language is the essay. Learn to write. Read good journalism, memorize the rhetorical techniques used by the authors, speak, discuss, and, of course, write. It is useful to develop some model according to which you will build your essays, this will allow you to avoid wasting time on the introduction and outline.

Literature

It is impossible to pass the Unified State Examination in literature without knowing the texts of the works. Preparation for this exam consists mainly of reading. It is also important to understand the place of each author and work in history, in the unified process of development of literature. And, of course, you need to learn how to write essays. Read critical articles, discuss works with your teacher and classmates, ask questions. Set aside completed essays to think about and edit in a few days, give them to your parents or teacher to read, take into account all comments.

Natural Sciences

To pass the Unified State Exam in natural sciences (physics, chemistry, biology, geography), you need to know a lot of facts. You will need several textbooks of different classes, encyclopedias, and visual materials. In the math and physics exam, the most important thing is concentration. Learn to read assignments carefully and remember that all answers must be checked.

History and social studies

On the contrary, an abundance of textbooks will not be useful in preparing for the Unified State Exam in history and social studies. Publications of different years and different authors may have different points of view. No matter how interesting they may be, as long as you don’t need them, you will study them at university. Limit yourself to one or two textbooks that you use in school, and an encyclopedia or reference book to clarify dates and terms.

Foreign languages

If you have an Unified State Exam in a foreign language, the only useful thing you can take from the demo tests is a list of topics for the speaking part. To pass an exam in a foreign language, just start learning that language. Active work in school lessons may not be enough: in a large class, the teacher does not always have time to organize a discussion and listen to each student. Look for additional ways: watch TV series in the original, listen to the radio, read books and magazines, write out and learn useful words. Check the grammar reference book and clarify the rules for it. Join a discussion club to start talking. There are free websites for learning foreign languages.

Don't forget that you always have the opportunity to ask someone for help. You will be alone during the exam, but while you are preparing, you can ask everything and everyone - teachers, family, classmates and acquaintances. You will be surprised to find how many people are willing to help you. Maybe one of your friends will want to prepare for the Unified State Exam with you.

Should I give up other activities?

Some teachers advise devoting all your free time to preparing for the Unified State Exam, giving up sports clubs, music and art schools, and social activities. If you're afraid that you won't be able to multitask, you might want to do this. But first, think carefully: what if sports or music are what you love most in the world?

Don’t put off what you love because of exams, because it’s part of your life. With it you develop, raise your mood and self-esteem. You can tell yourself that this is also part of your plan - this is how you prepare mentally for the Unified State Exam. If you're worried that you won't have enough time, it's better to limit your access to social networks and computer games, because neither one nor the other will develop your talents.

The Federal Service encourages everyone who is to take the Unified State Exam to use exclusively official sources of information when preparing.

On the Rosobrnadzor website and the Unified State Exam portal, you can familiarize yourself with the procedure and schedule for conducting the State Examination, the schedule for publishing grades, and read answers to frequently asked questions. Information on the constituent entities of the Russian Federation is provided on the information resources of regional education authorities.

To understand how to correctly complete the exam work, view the demo versions of the Unified State Exam KIM in the subjects of interest. This is the easiest way to get an idea of ​​the structure of control measuring materials, the form, number and complexity of tasks that will be on the exam. The demo versions also provide evaluation criteria for tasks that provide a detailed answer. It is important to study them in order to know the requirements for formatting answers.

Questions in the demo versions of the KIM Unified State Exam may not reflect the entire scope of knowledge that should be tested for compliance with the Federal State Educational Standard. An exhaustive list of topics that are submitted for the exam is presented in the codifier of the content of EM and requirements for the preparation of schoolchildren. It is convenient to use as a plan for repeating material.

The open task bank on the FIPI website contains tens of thousands of questions, analogues of which are used in compiling individual versions of the Unified State Exam KIM in all disciplines. You can practice on them and get better at typical tasks.

News and absolutely reliable information about the Unified State Exam, as well as valuable expert advice can be found on the official pages of the State Examination Agency on social networks.

Just don't deceive yourself! “In principle, everything is fine with us,” parents often tell me in the first telephone conversation. “At school, the child got fours and even fives, but the test exam “accidentally” was written as two! I was probably worried.”

Friends! If a person really knows a subject with a B, he will not be able to pass the exam with a B, even if he is in an unconscious state. Don't flatter yourself! Chance is not a bad mark on a test exam, but a waterfall of fours and fives that befalls schoolchildren during their 11 years of study. Unfortunately, practice shows that 90% of school grades are fake! We will not talk now about the reasons for this phenomenon (you can read more about this Here), but rather, let’s think about how to give ourselves (or our offspring) an objective assessment.

I can offer several options:

  • use tests in chemistry and mathematics on this site;
  • buy a collection of Unified State Exam tests in the relevant subject and try to solve several options (only honestly, without cheating and without the help of friends!);
  • Seek advice from a qualified tutor, ask him to assess your current level of knowledge and create a preparation program for the exam.

Set yourself a realistic goal. Consider time restrictions

If there are four months left before the Unified State Exam, at the moment you are barely able to solve 3-4 simple problems, and you are aiming for 90 points, I am afraid that you will be disappointed! To reach the level of 80 points in mathematics, even a very capable student will need 1.5 - 2 years of intensive work.

It is very difficult to clearly formulate what it is realistic goal. There are too many variables to consider. The initial level of the student, his abilities, the level of motivation, and, of course, the amount of time play a role. An experienced tutor already after one or two lessons understands what one or another of his students can count on. A non-professional can very often greatly exaggerate or understate a child’s capabilities.

I will try to give just a few guidelines using typical situations as examples. So,


Typical situation Forecast
We are preparing for the Unified State Exam in mathematics, we have a year left, the current level is “below the baseboard”. We can count on 60 points in the exam, maximum 65 if we work hard.
We are preparing for the Unified State Exam in mathematics, we have a year left, and at the moment we can solve about 50% of the tasks from the first part. Realistic forecast: 70 - 75 points.
We are preparing for a math exam, we have two With a year left, we can currently solve about 50% of the tasks. We can even go above 90 points. A level of 80 points during normal operation is practically guaranteed.
We are preparing for the Unified State Exam in Chemistry, we have a year left, the current level is “zero minus”. We can count on 70 - 75 points on the real exam (with intensive work throughout the year).
We want to pass the Unified State Exam in chemistry, at school we got a “real” B, we have a year left. 80 - 90 points is an achievable result.
We dream of getting 100 points on the Unified State Exam in chemistry, we have two years ahead and a great desire to work. We do all our homework and work regularly. The dream of 100 points can come true.
Six months before the Unified State Exam in mathematics, we even know the multiplication tables with uncertainty. Is it possible to pass the exam with at least the minimum score? Yes, you can. You need to find a professional tutor and start working seriously.
A similar question for chemistry. Of course it is possible.
There are two to three months before the exam. Zero knowledge. Is there anything to hope for? You can only count on passing the Unified State Exam with a minimum score, and even then only under the condition of intensive work under the guidance of a top-class tutor.

Let me remind you once again that these are guidelines only. Naturally, there are no guarantees in such forecasts and cannot be!

Create a lesson program

So, by the beginning of June you plan to confidently solve, for example, ten problems in the test. Currently you are able to complete 2-3 tasks. Take a piece of paper, a pen and try to sketch out a rough work plan: December will be devoted to tasks B1 and B4, January - B2 and B5, etc. If you are preparing for the Unified State Exam with a tutor, the situation will be simplified: he will have to draw up a plan and monitor its implementation. If you are preparing on your own, show your plan to your school teacher; Perhaps something will need to be adjusted.

It is likely that some changes will be made to the plan during preparation. This is normal.

Give yourself some extra time

It is important to understand that life makes its own adjustments to any plan. You may get sick, the exam may be postponed to an earlier date, it turns out that a topic that seemed very easy to you will, in fact, require more effort, etc.

You must allow for time reserve. Let's say you already know that the Unified State Exam in mathematics will take place on June 10. But you must be fully prepared by May 15th. If any problems arise, you can solve them in the remaining time. If no problems arise, you can once again repeat the material covered, or even work on more complex examples.

Check yourself periodically

Any preparation is meaningless if you do not constantly monitor the implementation of your plan. After each lesson, organize a short test for yourself. Check all completed tasks using the answers (but do not adjust them to the answer!) Periodically arrange a trial Unified State Exam for yourself: you can use collections of exam tests or materials from the Internet. The main thing is that the exam be as objective as possible. Don't look at textbooks, solve problems in an "exam setting", ask friends or parents to test you.

Your results should gradually improve. If progress is not observed, it is necessary to change the preparation system: use a different textbook, devote more time to classes, seek the help of a tutor.

Prepare for the Unified State Exam every day

I understand that today is a friend’s birthday, and tomorrow is an important test at school, and the day after tomorrow is New Year. Yesterday I had a headache, and the day before yesterday they promised a collision between the Earth and an asteroid (and why bother preparing for the Unified State Exam then?). No, friends, it won’t work that way! If you plan to exercise occasionally, once a week or even less often, I have to disappoint you: the effectiveness of such work tends to zero.

Daily exercises of 20 minutes are much more beneficial than one two-hour lesson once a week. Regularity of work is the basis of success. Let friends, holidays, social networks, football, TV wait until summer!

Preparing for the Unified State Exam is not just about solving tests

I would like to once again warn graduates against thoughtlessly using numerous “Collections of tests for preparing for the Unified State Exam.”

Firstly, the quality of most (if not most!) of these collections is not very high (this is putting it mildly!): there are a lot of factual errors, incorrect assignments, etc.

Secondly, even high-quality collections of this type do not replace textbooks, reference books, etc. These books, of course, have the right to exist, but only as an auxiliary element of teaching. You can use them to assess your initial level (see above), for periodic self-control during training.

The stupidest thing you can think of when preparing for the Unified State Exam is to simply “solve” (as some teachers like to say) an endless number of tests.

Preparing for the Unified State Exam (as well as for any other exam) means working on certain topics, on problems of certain types. Today you learn to solve quadratic equations, tomorrow you analyze equations with modules, the day after tomorrow you remember fractional rational equations, etc. You only need to move on to the next topic by fully mastering the previous one.

Obviously, collections of tests will not help you with such work. It is better to use regular school textbooks or specialized literature for those preparing for higher education.

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