About the exam

The total number of participants in the main USE period mathematics profile level in 2018 - more than 391 thousand people. The average test score in 2018 increased by more than 2 test scores compared to 2017. 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 performance of tasks with a short answer showed the greatest growth, tasks with a full solution were generally performed slightly worse than in 2017 .

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

More detailed analytics and teaching materials The USE 2018 is available at.

PLAN OF THE EXAMINATION WORK OF THE USE IN MATHEMATICS 2019

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

Correspondence between minimum primary points and minimal test scores 2019. Order on amendments to Appendix No. 1 to the order Federal Service on supervision in the field of education and science. .

OFFICIAL SCALE 2019

THRESHOLD SCORE
The order of Rosobrnadzor established minimal amount points, confirming the participants' mastery of the main general educational programs of the secondary (complete) general education in accordance with the requirements of the federal state educational standard of secondary (complete) general education.
THRESHOLD FOR MATH: 6 primary points(27 test points).

EXAM FORMS
You can download high quality forms from

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

Main advantages

With this handy application, you can prepare for the upcoming 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 familiar tests and training in a 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 items that will be lined up in a column. Among them you can find the exam mode, task options, settings and theory.

Each item has multiple options. 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 download them on your device first. Moreover, you will have to look for tests on Google Play on your own, since links to download them are not provided in the program.

Mathematics Part I-1

Mathematics Part I-2

Mathematics Part I-3

Maxim twice threw a dice, the faces of which are numbered from 1 to 6. and built a rectangle with sides equal to the numbers that fell out. 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 of the graph f (x), in each of which the tangent drawn to the graph of the function coincides or is parallel to the x-axis

Mathematics Part I-8

Mathematics Part II-9

Mathematics Part II-10

Devices are connected to the power outlet, the total resistance of which is R1 \u003d 90 Ohm. In parallel with them, an electric heater is supposed to be connected to the outlet. Determine the smallest 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) \u003d (R1 * R2) / (R1 + R2) (Ohm), and for For the normal functioning of the mains, 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. The 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 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. Diagonals AC and BD break the trapezoid into four overlapping triangles DAB, ABC, BCD, CDA. Each triangle is inscribed with circles w1, w2, w3, w4, respectively, whose centers are located at the 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 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 day of each month, it is necessary to pay a part of the debt in one payment;
- on the 15th day of each from the 1st to the 10th month, the debt must 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 total amount paid to the bank was 1021 thousand rubles.

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. Successful surrender an exam for a high mark is an important factor in success in 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 medium and high level mastery of the subject. These tasks are checked using a computer, since the answer to them is short.

If the student chooses this level, this implies his desire to continue the study of the exact sciences in the future. 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, fundamental training is not needed.
The preparation process includes a repetition of the main sections, solving problems of 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: a professional specialist will help you solve complex tasks efficiently and quickly.
• 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.