Module "Algebra"

1 ... Find the meaning of the expression

2. The table shows the standards for running 30 meters for students in grade 9.
What mark will the girl get when she ran this distance in 5.62 seconds?
1) mark "5" 2) mark "4"
3) mark "3" 4) standard not met

3 ... A point is marked on the coordinate line A... It is known to match one of the four numbers below.
Which of the numbers corresponds to the dot A?
1) 2) 3) 4)

4 ... Find the meaning of the expression

5 ... The graph shows the relationship between atmospheric pressure and altitude. The horizontal axis shows the height above sea level in kilometers, the vertical axis shows the pressure in millimeters of mercury. Determine from the graph at what altitude the atmospheric pressure is equal to 620 millimeters of mercury. Give your answer in kilometers.

6. Solve the equation. If your equation has more than one root, write down the larger of the roots in your answer.

7. The fare on the electric train is 198 rubles. Schoolchildren are given a 50% discount. How much will the fare for 4 adults and 12 schoolchildren cost?

8. The diagram shows the nutrient content of dried porcini mushrooms.
Which of the following statements are correct?
1) 1000 grams of mushrooms contains approximately 360 g of fat.
2) 1000 grams of mushrooms contains about 240 grams of carbohydrates.
3) 1000 grams of mushrooms contains approximately 140 grams of protein.
4) 1000 grams of mushrooms contains approximately 500 g of fat, protein and carbohydrates.
In response, write down the numbers of the selected statements without spaces, commas, or other additional characters.

9. On the plate are pies that look the same: 4 with meat, 8 with cabbage and 3 with apples. Petya chooses one pie at random. Find the probability that the pie will end up with apples.

10. Establish a correspondence between the graphs of functions and the formulas that define them.

11. In the sequence of numbers, the first number is 6, and each next is greater than the previous by 4. Find the fifteenth number.

12. Find the value of the expression at.

13. To convert the temperature value from Celsius to Fahrenheit, use the formula where - temperature in degrees Celsius, - temperature in degrees Fahrenheit. How many degrees Fahrenheit is -25 degrees Celsius?

14. Indicate the solution to the system of inequalities

15. The sloping roof is installed on three vertical supports, the bases of which are located on one straight line. The middle support stands in the middle between the small and large supports (see fig.). The height of the small support is 1.7 m, the height of the middle support is 2.1 m. Find the height of the large support. Give your answer in meters.

16 ... In an isosceles triangle ABC with the foundation AC external apex angle C is equal to 123 °. Find the angle YOU... Give your answer in degrees.

17 ... Find the chord length of a circle with a radius of 13 cm if the distance from the center of the circle to the chord is 5 cm. Give your answer in cm.

18. Find the area of ​​the trapezoid shown in the figure.

19 ... Find the tangent of the acute angle shown in the figure.

20 ... Which of the following statements are correct?
1) Through a point that does not lie on a given straight line, you can draw a straight line parallel to this straight line.
2) A triangle with sides 1, 2, 4 exists.
3) Any parallelogram has two equal angles.
In response, write down the numbers of the statements you selected, without spaces, commas, or other additional characters.

Module "Algebra"

21 ... Solve the equation

22 ... At 5 o'clock in the morning, the fisherman set off on a motor boat from the pier against the stream of the river, after a while he dropped anchor, fished for 2 hours and returned back at 10 o'clock in the morning of the same day. How far from the dock did he sail if the speed of the river flow is 2 km / h, and the boat's own speed is 6 km / h?

23 ... Plot a function graph and determine at what values the line has exactly one point in common with the graph.

Module "Geometry"

24 ... In a right triangle ABC right angle C legs are known: AC= 6, BC= 8. Find the median CK this triangle.

25 ... In a parallelogram ABCD point E- middle of the side AB... It is known that EC = ED... Prove that the given parallelogram is a rectangle.

26 ... Base AC isosceles triangle ABC equals 12. A circle of radius 8 centered outside this triangle touches the extensions of the lateral sides of the triangle and touches the base AC... Find the radius of a circle inscribed in a triangle ABC.

Answers

Russian language | OGE 2018

The solution to the OGE online test in Russian introduces students to the tasks of the 2018 OGE demo version and helps them master the necessary skills for solving CMM tasks. Teachers can use online testing for free in the classroom to practice exercises and control knowledge.

Take the test "OGE 2018 Russian language Training option number 1" online

Russian language | OGE 2018

Take the test "OGE 2018 Russian language Training option number 2" online

Russian language | OGE 2018

The solution of the OGE online test in the Russian language in 2018 acquaints students with the tasks of the present OGE and helps to master the necessary skills for solving KIM tasks. Teachers can use online testing for free in the classroom to train and supervise students. The training version of the OGE in the Russian language was compiled in accordance with the 2018 demo version.

Take the test "OGE 2018 Russian language Training option number 3" online

Russian language | OGE 2018

The solution of the OGE online test in the Russian language in 2018 acquaints students with the tasks of the present OGE and helps to master the necessary skills for solving KIM tasks. Teachers can use online testing for free in the classroom to train and supervise students. The training version of the OGE in the Russian language was compiled in accordance with the 2018 demo version.

Take the test "OGE 2018 Russian language Training option number 4" online

Russian language | OGE 2018

The solution of the OGE online test in the Russian language in 2018 acquaints students with the tasks of the present OGE and helps to master the necessary skills for solving KIM tasks. Teachers can use online testing for free in the classroom to train and supervise students. The training version of the OGE in the Russian language was compiled in accordance with the 2018 demo version.

Take the test "OGE 2018 Russian language Training option number 5" online

Russian language | OGE 2018

The solution of the OGE online test in the Russian language in 2018 acquaints students with the tasks of the present OGE and helps to master the necessary skills for solving KIM tasks. Teachers can use online testing for free in the classroom to train and supervise students. The training version of the OGE in the Russian language was compiled in accordance with the 2018 demo version.

Take the test "OGE 2018 Russian language Training option number 6" online

Russian language | OGE 2018

The solution of the OGE online test in the Russian language in 2018 acquaints students with the tasks of the present OGE and helps to master the necessary skills for solving KIM tasks. Teachers can use online testing for free in the classroom to train and supervise students. The training version of the OGE in the Russian language was compiled in accordance with the 2018 demo version.

Take the test "OGE 2018 Russian language Training option number 7" online

Russian language | OGE 2018

The solution of the OGE online test in the Russian language in 2018 acquaints students with the tasks of the present OGE and helps to master the necessary skills for solving KIM tasks. Teachers can use online testing for free in the classroom to train and supervise students. The training version of the OGE in the Russian language was compiled in accordance with the 2018 demo version.

Take the test "OGE 2018 Russian language Training option number 8" online

Russian language | OGE 2018

The solution of the OGE online test in the Russian language in 2018 acquaints students with the tasks of the present OGE and helps to master the necessary skills for solving KIM tasks. Teachers can use online testing for free in the classroom to train and supervise students. The training version of the OGE in the Russian language was compiled in accordance with the 2018 demo version.

Take the test "OGE 2018 Russian language Training option number 9" online

Russian language | OGE 2018

The solution of the OGE online test in the Russian language in 2018 acquaints students with the tasks of the present OGE and helps to master the necessary skills for solving KIM tasks. Teachers can use online testing for free in the classroom to train and supervise students. The training version of the OGE in the Russian language was compiled in accordance with the 2018 demo version.

Take the test "OGE 2018 Russian language Training option number 10" online

Russian language | OGE 2018

The solution of the OGE online test in the Russian language in 2018 acquaints students with the tasks of the present OGE and helps to master the necessary skills for solving KIM tasks. Teachers can use online testing for free in the classroom to train and supervise students. The training version of the OGE in the Russian language was compiled in accordance with the 2018 demo version.

Take the test "Demonstration version of control measuring materials of the main state exam of 2018 in MATH" online

Mathematics | OGE 2018

The solution to the OGE online test in mathematics introduces students to the tasks of the 2018 OGE demo version and helps to master the necessary skills for solving CMM tasks. Teachers can use online testing for free in the classroom to train and supervise students.

Take the test "OGE 2018 Mathematics Training option number 1" online

Mathematics | OGE 2018

Take the test "OGE 2018 Mathematics Training option number 2" online

Mathematics | OGE 2018

The solution of the OGE online test in mathematics in 2018 acquaints students with the tasks of the present OGE and helps to master the necessary skills for solving KIM tasks. Teachers can use online testing for free in the classroom to train and supervise students. The training version of the OGE in mathematics corresponds to the demo version of 2018.

Take the test "OGE 2018 Mathematics Training option number 3" online

Mathematics | OGE 2018

The solution of the OGE online test in mathematics in 2018 acquaints students with the tasks of the present OGE and helps to master the necessary skills for solving KIM tasks. Teachers can use online testing for free in the classroom to train and supervise students. The training version of the OGE in mathematics corresponds to the demo version of 2018.

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The demo version is intended to enable the exam participant and the general public to get an idea of ​​the structure of the future examination work, the number and form of tasks, as well as their level of complexity. This information provides an opportunity to develop a strategy for preparing for the mathematics exam.

Demonstration version of the OGE 2018 in mathematics, grade 9

Changes in CMM 2018 compared to 2017

Compared to the structure of 2017, the module "Real Mathematics" is excluded from the work. The tasks of this module are divided into modules "Algebra" and "Geometry".

Characteristics of the structure and content of KIM OGE 2018 in mathematics

The work consists of two modules: "Algebra" and "Geometry". Each module has two parts, corresponding to the test at the basic and advanced levels. When checking basic mathematical competence, students must demonstrate proficiency in basic algorithms, knowledge and understanding of key elements of content (mathematical concepts, their properties, techniques for solving problems, etc.), the ability to use mathematical notation, apply knowledge to solving mathematical problems that are not limited to direct application algorithm, as well as apply mathematical knowledge in the simplest practical situations.

Parts 2 of the modules "Algebra" and "Geometry" are aimed at checking the proficiency of the material at an advanced level. Their purpose is to differentiate well-performing schoolchildren by levels of training, to identify the most prepared part of graduates, which makes up the potential contingent of specialized classes. These parts contain tasks of an increased level of difficulty from various sections of the mathematics course. All tasks require a record of decisions and answers. Tasks are arranged in increasing difficulty - from relatively simple to difficult, assuming fluency in the material and a good level of mathematical culture.

Module "Algebra" contains 17 tasks: in part 1 - 14 tasks; in part 2 - 3 tasks.

Module "Geometry" contains 9 tasks: in part 1 - 6 tasks; in part 2 - 3 tasks. In total, there are 26 tasks in the work, of which 20 tasks of the basic level, 4 tasks of an advanced level and 2 tasks of a high level.

Duration of the OGE 2018 in mathematics- 235 minutes.

Requirements codifier to the level of preparation of students for the main state exam in mathematics is one of the documents that determine the structure and content of control measuring materials - CMM. A codifier is a systematized list of requirements for the level of training of graduates and checked content elements, in which a certain code corresponds to each object.

Content element codifier for the main state exam in mathematics is one of the documents that determine the structure and content of control measuring materials - CMM. A codifier is a systematized list of requirements for the level of training of graduates and checked content elements, in which a certain code corresponds to each object.

Specification
control measuring materials for carrying out
in 2018 of the main state exam
In Russian

1. Purpose of CMM for OGE- to assess the level of general education in the Russian language of 9th grade graduates of general educational organizations for the purpose of state final certification of graduates. The results of the exam can be used when admitting students to specialized secondary school classes.

The OGE is carried out in accordance with the Federal Law of the Russian Federation dated December 29, 2012 No. 273-FZ "On Education in the Russian Federation".

2. Documents defining the content of CMM

3. Approaches to the selection of content, the development of the structure of CMM

Conceptual approaches to the formation of KIM for the OGE in the Russian language were determined by the specifics of the subject in accordance with the normative document specified in clause 2.

The competence-based approach, outlined in the Federal component of the state standard of basic general education and implemented in the materials of the unified state exam, was reflected in the content of the exam work of the OGE. The work tests the linguistic competence of students (knowledge of language and speech; the ability to apply linguistic knowledge in working with language material, as well as identification, classification, analytical teaching and language skills). The degree of formation of language competence is indicated by the skills and abilities of students associated with the observance of language norms (lexical, grammatical, stylistic, spelling, punctuation). Communicative competence is tested in work at the level of learners' proficiency in productive and receptive speech skills.

The fulfillment of the totality of the tasks presented in the work by the examinees makes it possible to assess the compliance of the level of their training achieved by the end of their studies in basic school with the state requirements for the level of training in the Russian language, which ensures the possibility of successful continuation of education in high school.

The examination work for the OGE is built taking into account variability: the examinees are given the right to choose one of three essay options.

The assessment system for individual assignments and examination work as a whole was created taking into account the requirements of the theory and practice of pedagogical measurements and Russian traditions of teaching the Russian language.

4. Characteristics of the structure and content of CMM

Each version of the CMM consists of three parts and includes 15 tasks, differing in shape and level of complexity.

Part 1 - summary (task 1).

Part 2 (tasks 2-14) - tasks with a short answer.

In the examination paper, the following types of tasks with a short answer are proposed:

• open-ended tasks to record an independently formulated short answer;
• tasks to choose and record one correct answer from the proposed list of answers.

Part 3 (alternative task 15) is an open-ended task with a detailed answer (essay), which tests the ability to create your own statement based on the text read.