Basic level (2017). Adobe Photoshop

The demo version is intended to give an idea of the structure of future control measuring materials, the number of tasks, their form and level of complexity.
The demo contains severalexamples of tasks for each position of the examination paper.
In real versions of the examination paper for each positionOnly one task will be offered.
The demo items do not reflect all of the content issues that may be included in the 2017 scoring materials.

The examination paper includes 20 tasks. 3 hours (180 minutes) are allotted to complete the work. Answers to tasks are written according to the samples below in the form of a number or a sequence of numbers. First, write down the answers to the tasks in the answer field in the text of the work, and then transfer them to the answer sheet No. 1 to the right of the number of the corresponding task.

If the answer is a sequence of numbers, then write down this sequence in the answer sheet No. 1 without spaces, commas and other additional characters. All USE forms are filled in with bright black ink. It is allowed to use gel, or capillary, or fountain pens. When completing assignments, you can use a draft. Draft entries do not count towards the assessment of the work. The points you get for completed tasks are summed up. Try to complete as many tasks as possible and score the most points.
We wish you success!

Task Conditions

Find the value of an expression
or
Find the value of an expression
Find the value of an expression
or
Find the value of an expression
Ivan Kuzmich received a salary of 20,000 rubles. From this amount, personal income tax of 13% is deducted. How many rubles will he receive after paying income tax?
or
The USE in physics was taken by 25 graduates of the school, which is one third of the total number of graduates. How many graduates of this school did not pass physics exam?
Find from equality , if and .
or
Find from equality , if , and .
or
Find from equality , if and .
Find if and
or
Find the value of an expression
or
Find the value of an expression
A jar of yogurt costs 14 rubles 60 kopecks. What is the largest number of jars of yogurt you can buy for 100 rubles?
or
A kilogram of carrots costs 40 rubles. Oleg bought 1 kg 600 g of carrots. How many rubles of change should he receive from 100 rubles?
or
For repairs, 63 rolls of wallpaper are required. What is the smallest number of packs of wallpaper glue needed for such a repair, if 1 pack of glue is designed for 6 rolls?
Find the root of the equation.
or
Find the root of the equation .
or
Find the negative root of the equation
The suburban area has the shape of a rectangle with sides of 25 meters and 30 meters. The owner plans to enclose it with a fence and divide it into two parts with the same fence, one of which has the shape of a square. Find the total length of the fence in meters.
or
What angle (in degrees) does the minute and hour hands make at 4:00 pm?
or
The terrain plan is divided into cells. Each cell represents a square 1 m x 1 m. Find the area of the plot shown on the plan. Give your answer in square meters.
Establish a correspondence between the quantities and their possible values: for each element of the first column, select the corresponding element from the second column.
Values:
A) the height of the child
B) the thickness of the sheet of paper
B) the length of the bus route
D) the height of a residential building
Values:
1) 32 km
2) 30 m
3) 0.2mm
4) 110 cm
or
Values:
A) the weight of an adult
B) the mass of the truck
B) weight of the book
D) the mass of the button
Values:
1) 8 t
2) 5 g
3) 65 kg
4) 300 g
35 athletes participate in the diving championship: 7 from Russia, 12 from China, 9 from Japan and 7 from the USA. The order in which the athletes compete is determined by lot. Find the probability that the athlete who competes first is from Russia.
or
Out of every 100 light bulbs sold, an average of 3 are defective. What is the probability that a light bulb chosen at random in a shop is good?
The diagram shows data on the length of the eight largest rivers in Russia (in thousands of kilometers). The first place in length is occupied by the Lena River. What is the length of the Amur River?
or
The table shows the distribution of medals at the XXII Olympic Winter Games in Sochi among the teams that took the first 10 places in terms of the number of gold medals. Use the table to determine how many silver medals the team that won the second place in the number of gold medals has.
or
The graph shows the change in air temperature for three days. On the horizontal axis the day, month, time of day in hours are marked; on the vertical axis - the temperature value in degrees Celsius. Determine from the graph the highest air temperature on February 19. Give your answer in degrees Celsius.
To service an international seminar, it is necessary to assemble a group of translators. Information about the candidates is presented in the table. Using the table, collect at least one group in which translators together speak four foreign languages: English, German, French and Spanish, and the total cost of their services does not exceed 12,000 rubles per day.
In your answer, indicate any one set of translator numbers without spaces, commas, or other additional characters.

or
The tourist selects excursions. Information about excursions is presented in the table. Using the table, select a set of excursions so that the tourist visits four objects: a fortress, a country palace, a park and a museum of art, and the total cost of excursions does not exceed 650 rubles.
In your answer, indicate any one set of tour numbers without spaces, commas, and other additional characters.

or
The construction company plans to buy 70 m3 of foam blocks from one of the three suppliers. Prices and delivery terms are shown in the table. How much should I pay for the cheapest purchase with delivery?
Water in a cylindrical vessel is at the level h = 80 cm. At what level will the water be if it is poured into another cylindrical vessel, whose base radius is four times greater than this one? Give your answer in centimeters.
or
All of its tops were sawn off from a wooden cube (see fig.). How many faces does the resulting polyhedron have (invisible edges are not shown in the figure)?
The graph shows the dependence of temperature on time in the process of warming up the engine of a car. The horizontal axis indicates the time in minutes that has elapsed since the engine was started; on the vertical axis - engine temperature in degrees Celsius. Using the graph, match each time interval with the characteristics of the engine warm-up process at this interval.

or
The figure shows the graph of the function and the tangents drawn to it at points with abscissas A, B, C and D.
The right column shows the values of the derivative of the function in points A, B, C and D. Using the graph, match each point with the value of the derivative of the function in it.
points Derivative values
A 1) -4
B 2) 3
C 3) 3/2
D 4) - 1/2
In a triangle ABC corner ACB equal to 90 o , cos A = 0.8, AC= 4. Cut CH- the height of the triangle ABC(see picture). Find the length of the segment.
The radius of the base of the cylinder is 13, and its generatrix is 18. The section parallel to the axis of the cylinder is at a distance of 12 from it. Find the area of this section.
or
Find the volume of a regular quadrangular pyramid whose base side is 4 and the side edge is .
Points are marked on the coordinate line A, B, C and D. Each point corresponds to one of the numbers in the right column. Set the correspondence between the specified points and numbers.
points Numbers
A 1)
B 2) 7/3
C 3)
D 4)
or
Each of the four inequalities in the left column corresponds to one of the solutions in the right column. Establish a correspondence between inequalities and their solutions.
There are 20 students in the class, 13 of them attend the history circle,
and 10 is a math circle. Choose the statements that are true
under the specified conditions.
1) Each student of this class attends both circles.
2) There are at least two of this class who attend both circles.
3) If a student from this class goes to a circle on history, then he
Be sure to attend a math class.
4) There will not be 11 people from this class who attend both circles.
In your answer, write down the numbers of the selected statements without spaces, commas, or other additional characters.
or
Vitya is taller than Kolya, but shorter than Masha. Anya is no taller than Vitya. Select statements,
which are true under the specified conditions.
1) Masha is the tallest of these four people.
2) Anya and Masha are the same height.
3) Vitya and Kolya are the same height.
4) Kolya is lower than Masha.
In your answer, write down the numbers of the selected statements without spaces, commas
and other additional characters.
Find a three-digit number whose sum of digits is 20, and the sum of the squares of digits is divisible by 3, but not by 9. In your answer, indicate any one such number.
In the exchange office, you can perform one of two operations:
- for 2 gold coins get 3 silver and one copper;
- For 5 silver coins, get 3 gold and one copper.
Nicholas had only silver coins. After several visits to the exchange office, he had fewer silver coins, no gold coins, but 50 copper coins appeared. By how much did Nicholas's number of silver coins decrease?
or
The rectangle is divided into four smaller rectangles by two straight cuts.
The perimeters of three of them, starting from the top left and proceeding clockwise, are 24, 28 and 16. Find the perimeter of the fourth rectangle. Assessment system for examination paper in mathematics (basiclevel) The correct solution of each of the tasks 1-20 is estimated at 1 point. The task is considered completed correctly if the examinee gave the correct answer in the form of an integer or a final decimal fraction, or a sequence of numbers

Answers

Exercise	Example 1	Example 2	Example 3
1	8,4	3,2
2	40	54
3	17400	50
4	7	6	8
5	-0,6	51	30
6	6	36	11
7	7	67	-2
8	135	120	12
9	4312	3142
10	0,2	0,97
11	7	5	-3
12	135; 153; 315; 351; 513; 531; 256; 265; 526; 562; 625; 652	14; 41	192000
13	5	14
14	4132	2143
15	3,2
16	180	16
17	4213	4321
18	24; 42	14; 41
19	578; 587; 758; 785; 857; 875
20	10	12

The book contains 10 variants of sets of typical test tasks in mathematics, compiled taking into account all the features and requirements of the Unified State Examination in Mathematics of the Basic Level in 2017.
The purpose of the manual is to provide readers with information about the structure and content of control measuring materials in mathematics, the degree of difficulty of tasks.
The authors of the manual are leading experts who are directly involved in the development of methodological materials for preparing for the implementation of control measuring materials for the exam.
The collection contains answers to all variants of tests.
In addition, examples of forms used in the exam for recording answers and decisions are given.
The manual can be used by teachers to prepare students for the exam in mathematics in the form of the Unified State Examination, as well as high school students - for self-training and self-control.

Examples.
The store has two payment machines. Each of them can be faulty with a probability of 0.15, regardless of the other automaton. Find the probability that both automata are faulty.

In the figure, bold dots show the price of nickel at the close of exchange trading on all working days from 10 to 26 November 2008. The dates of the month are shown horizontally, the price of nickel in US dollars per ton is shown vertically. For clarity, bold dots in the figure are connected by a line.

Given two cones. The radius of the base and the generatrix of the first cone are 6 and 8, respectively, and the second - 4 and 8. How many times is the area of the lateral surface of the first cone greater than the area of the lateral surface of the second?

Free download e-book in a convenient format, watch and read:
Download the book USE 2017, Mathematics, Basic level, 10 options, Antropov A.V., Zabelin A.V., Semenko E.A., Yashchenko I.V., 2017 - fileskachat.com, fast and free download.

Unified State Examination 2020, mathematics, basic level, 14 options, typical exam tasks from the developers of the Unified State Examination, Antropov A.V., Zabelin A.V., Semenko E.A., Soprunova N.A., Stanchenko S.V., Khovanskaya I.A., Shnol D.E., Yashchenko I.V., 2020
USE 2020, Mathematics, Basic level, 10 options, Typical test tasks, Antropov A.V., Zabelin A.V., Semenko E.A., Yashchenko I.V.
USE 2020, Mathematics, Basic level, 10 options, Typical test tasks, Yashchenko I.V., Antropov A.V., Zabelin A.V., Semenko E.A.

The USE in basic mathematics is chosen for admission to a humanitarian university and is considered an easy subject. But do not forget about preparation if you want to get the maximum score.

There are no changes in KIM USE 2020.

Required reference materials

Before the start of the exam, each student will be given basic-level math assignments to solve.

You will have before your eyes

Formulas:

to determine the properties of the arithmetic square root;
for .

tables:

derivatives.

Graphs:

trigonometric functions;
linear function.

What are KIMS made of?

Control and measuring materials contain 20 tasks. The examination paper includes one level, which determines:

Knowledge of the theoretical part;
Skills for solving standard problems;
Ability to apply mathematical knowledge in everyday life.

Pay special attention to tasks with short answers on topics:

Sequence of numbers;
Whole numbers;
End decimals.

Grading system

Points for the exam will be set according to the usual "school" scale.

1 point is given for each task. In total, you can score a maximum of 20 points.
The duration of the exam is 3 hours (180 minutes).

How to prepare for the exam in mathematics?

Make a work plan, clearly define what exactly will be studied every day.
Reinforce each thematic topic by solving training problems.
At the end of each day of preparation, you should check how the material is learned by solving a test for it.
Decide

Graduating from high school is not easy these days. In order to say goodbye to the school desk, you need to pass several important exams, and not simple ones, but the Unified State Examination. Good scores in the certificate decide the future fate of the graduate and give him a chance to enter a prestigious university. That is why students seriously prepare for this test, and conscious ones even begin to prepare for it from the beginning of the school year. What will be USE in mathematics 2017 and what changes await graduates in the delivery procedure, this article will tell.

It is worth noting that next year the number of compulsory subjects will not change. The guys, as before, must pass the Russian language and mathematics. The results are still evaluated on a 100-point scale, and in order to pass the exam, you must score at least the minimum number of points determined by the FIPI.

The mathematics exam will have a basic and profile direction.

Mathematics exam progress

It is not yet possible to say the exact date of the USE in mathematics, but based on past years, it is easy to guess that it will take place around the beginning of June. In order to fully cope with the task, the student will be given as much as 3 hours. This time is enough to solve all the tests and practical tasks. Note that just before the exam, almost all personal belongings are taken away from graduates, leaving only a pen, a ruler and a calculator.

During the exam, it is prohibited:

change;
get up;
to talk with neighbors;
exchange materials;
use audio devices to listen to information;
go out without permission.

Do not forget that independent observers will be present at all times in the classroom, so students must comply with all their requests regarding the correct behavior during the exam!

Future changes

Every graduate who has ever taken the exam will tell you that the most difficult is mathematics. As a rule, only a few understand this subject, and far from many can solve all the test tasks. Unfortunately, there are no special concessions in the content, although some pleasant moments in the passing of the exam in mathematics in 2017 can still be noted. This applies to re-in case of defeat. Moreover, it will be possible to do it 2 times during the next academic year. In addition, if a student wishes to increase their scores, they can also apply for a retake.

The examination program will include not only assignments for grade 11, but topics from previous years. Recall that the basic level differs from the profile level in the knowledge assessment system: the basic one is based on a 20-point system, and the profile level is 100 points each. As statistics show, on average, only half of the students score 65 points at the profile level. Despite the fact that this is a rather low score, it is quite enough to enter an institute or university.

In 2017, they plan to increase the number of independent observers, as well as issue new forms for questions and answers. The test form will remain only in the mathematical exam, and then the specialists intend to add more practical tasks. This will avoid mere guessing and will help to soberly assess the knowledge of students.

Passing score of the basic level of the Unified State Examination in mathematics

The results of the exam can be viewed on the official portal, just by entering your passport data. To obtain a certificate, it is enough to earn only 7 points, which is equivalent to the usual “troika”. We suggest you familiarize yourself with the table for the basic level:

Passing score of the profile level of the Unified State Examination in mathematics

As mentioned above, to pass this exam, it is enough to score 65 points. This result guarantees the graduate a calm celebration of graduation and admission to the desired university in the country. In order to easily decipher the results of your knowledge, we suggest that you familiarize yourself with the points table for the profile level:

Exam Structure

Thanks to the demos that appear every year on the FIPI official website, the guys can take a trial exam and see who is what. The exact structure of the exam, identical to the real one, has been developed in a special file. Note that the student will need to remember the program of all past years: trigonometry, logarithms, geometry, probability theory and much more. In 2017, the structure of the USE in mathematics is as follows:

All these tasks were compiled on the basis of the program studied during the school years. If the student studied diligently, performed all the work assigned by the teacher, it will not be difficult for him to pass the exam as “excellent”. In addition, going to tutors can increase the chances of a good grade.

points	Derivative values
A	1) -4
B	2) 3
C	3) 3/2
D	4) - 1/2

points	Numbers
A	1)
B	2) 7/3
C	3)
D	4)