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Oge training options fipi. OGE training test in mathematics

State final examination 2019 in algebra (mathematics) for 9th grade graduates educational institutions is carried out to assess the level of general education training of graduates in this discipline. Basic verifiable requirements for students’ mathematical preparation:

Be able to perform calculations and transformations.
Use the basic units of length, mass, time, speed, area, volume; express larger units in terms of smaller ones and vice versa.
Describe using functions various real relationships between quantities; interpret graphs of real dependencies.
Be able to solve equations, inequalities and their systems.
Solve simple practical calculation problems.
Analyze real numerical data presented in tables, charts, graphs.
Solve practical problems that require a systematic search of options using the apparatus of probability and statistics.
Be able to build and read graphs of functions.
Carry out practical calculations using formulas, create simple formulas expressing dependencies between quantities.
Describe real situations in the language of geometry, explore constructed models using geometric concepts and theorems, solve practical problems related to finding geometric quantities.
Be able to perform actions with geometric shapes, coordinates and vectors.
Conduct demonstrative reasoning when solving problems, evaluate the logical correctness of reasoning, and recognize erroneous conclusions.
Be able to build and explore simple mathematical models.

In this section you will find online tests that will help you prepare for passing the OGE(GIA) in algebra (mathematics). We wish you success!

The standard OGE test (GIA-9) of the 2019 format consists of two modules: “Algebra” and “Geometry”. Each module consists of two parts, corresponding to testing at basic and advanced levels. Parts 2 of the modules “Algebra” and “Geometry” are aimed at testing mastery of the material at an advanced level; they contain complex tasks that cannot be assessed by a test, since the assessor assigns a grade based on complex criteria and an analysis of the sufficiency of the justifications given by the student. In this regard, in this test Only the first part (the first 20 problems) is presented. Among them, according to the current exam structure, answer options are offered in only a few problems. However, for the convenience of passing tests, the site administration offers several answer options for each of the tasks. Naturally, for problems in which the answer options by the compilers of real test measuring materials(CMM) are not provided, we decided to significantly increase the number of these answer options in order to bring our test as close as possible to what you will face in the exam.

The standard OGE test (GIA-9) of the 2019 format consists of two modules: “Algebra” and “Geometry”. Each module consists of two parts, corresponding to testing at basic and advanced levels. Parts 2 of the modules “Algebra” and “Geometry” are aimed at testing mastery of the material at an advanced level; they contain complex tasks that cannot be assessed by a test, since the assessor assigns a grade based on complex criteria and an analysis of the sufficiency of the justifications given by the student. In this regard, only the first part (the first 20 problems) is presented in this test. Among them, according to the current exam structure, answer options are offered in only a few problems. However, for the convenience of passing tests, the site administration offers several answer options for each of the tasks. Naturally, for tasks in which answer options are not provided by the compilers of real test and measurement materials (CMMs), we decided to significantly increase the number of these answer options in order to bring our test as close as possible to what you will have to face in the exam.

The standard OGE test (GIA-9) of the 2018 format consists of two modules: “Algebra” and “Geometry”. Each module consists of two parts, corresponding to testing at basic and advanced levels. Parts 2 of the modules “Algebra” and “Geometry” are aimed at testing mastery of the material at an advanced level; they contain complex tasks that cannot be assessed by a test, since the assessor assigns a grade based on complex criteria and an analysis of the sufficiency of the justifications given by the student. In this regard, only the first part (the first 20 problems) is presented in this test. Among them, according to the current exam structure, answer options are offered in only a few problems. However, for the convenience of passing tests, the site administration offers several answer options for each of the tasks. Naturally, for tasks in which answer options are not provided by the compilers of real test and measurement materials (CMMs), we decided to significantly increase the number of these answer options in order to bring our test as close as possible to what you will have to face in the exam.

The standard OGE test (GIA-9) of the 2017 format contains two parts. The first part contains 3 modules: Algebra (8 problems), Geometry (5 problems), Real Mathematics (7 problems). The second part contains 2 modules: Algebra (3 tasks) and Geometry (3 tasks). The second part contains complex tasks and cannot be assessed by tests. The assessor gives a grade based on complex criteria and an analysis of the sufficiency of the justifications given by the student. In this regard, only the first part (the first 20 problems) is presented in this test. Among the 20 problems, according to the current exam structure, answer options are offered in only a few problems. However, for the convenience of passing the tests, the site administration decided to offer answer options for each of the tasks. Naturally, for tasks in which answer options are not provided by the compilers of real test and measurement materials (CMMs), we decided to significantly increase the number of these answer options in order to bring our test as close as possible to what you will have to face at the end of the school year.

The standard OGE test (GIA-9) of the 2016 format contains two parts. The first part contains 3 modules: Algebra (8 problems), Geometry (5 problems), Real Mathematics (7 problems). The second part contains 2 modules: Algebra (3 tasks) and Geometry (3 tasks). The second part contains complex tasks and cannot be assessed by tests. The assessor gives a grade based on complex criteria and an analysis of the sufficiency of the justifications given by the student. In this regard, only the first part (the first 20 problems) is presented in this test. Among the 20 problems, according to the current exam structure, answer options are offered in only a few problems. However, for the convenience of passing the tests, the site administration decided to offer answer options for each of the tasks. Naturally, for tasks in which answer options are not provided by the compilers of real test and measurement materials (CMMs), we decided to significantly increase the number of these answer options in order to bring our test as close as possible to what you will have to face at the end of the school year.

The standard OGE test (GIA-9) of the 2015 format contains two parts. The first part contains 3 modules: Algebra (8 problems), Geometry (5 problems), Real Mathematics (7 problems). The second part contains 2 modules: Algebra (3 tasks) and Geometry (3 tasks). The second part contains complex tasks and cannot be assessed by tests. The assessor gives a grade based on complex criteria and an analysis of the sufficiency of the justifications given by the student. In this regard, only the first part (the first 20 problems) is presented in this test. Among the 20 problems, according to the current exam structure, answer options are offered in only a few problems. However, for the convenience of passing the tests, the site administration decided to offer answer options for each of the tasks. Naturally, for tasks in which answer options are not provided by the compilers of real test and measurement materials (CMMs), we decided to significantly increase the number of these answer options in order to bring our test as close as possible to what you will have to face at the end of the school year.

The standard GIA test of the 2014 format contains two parts. The first part contains 3 modules: Algebra (8 problems), Geometry (5 problems), Real Mathematics (7 problems). The second part contains 2 modules: Algebra (3 tasks) and Geometry (3 tasks). The second part contains complex tasks and cannot be assessed by tests. The assessor gives a grade based on complex criteria and an analysis of the sufficiency of the justifications given by the student. In this regard, only the first part (the first 20 problems) is presented in this test. Among the 20 problems, according to the current exam structure, answer options are offered in only four problems. However, for the convenience of passing the tests, the site administration decided to offer answer options for each of the tasks. Naturally, for tasks in which answer options are not provided by the compilers of real test and measurement materials (CMMs), we decided to significantly increase the number of these answer options in order to bring our test as close as possible to what you will have to face at the end of the school year.

When completing tasks A1-A14, select only one correct option.

When completing tasks A1-A16, select only one correct option.

Assessment

The work consists of two modules: "Algebra and geometry". There are 26 tasks in total. Module "Algebra" "Geometry"

3 hours 55 minutes(235 minutes).

as one digit

, squarecompass Calculators on the exam not used.

passport), pass and capillary or! Allowed to take with myself water(in a transparent bottle) and I'm going

The work consists of two modules: "Algebra and geometry". There are 26 tasks in total. Module "Algebra" contains seventeen tasks: in part 1 - fourteen tasks; in part 2 there are three tasks. Module "Geometry" contains nine tasks: in part 1 - six tasks; in part 2 there are three tasks.

For execution exam paper in mathematics is assigned 3 hours 55 minutes(235 minutes).

Write down the answers to tasks 2, 3, 14 in answer form No. 1 as one digit, which corresponds to the number of the correct answer.

For the remaining tasks of part 1 the answer is a number or sequence of digits. Write your answer in the answer field in the text of the work, and then transfer it to answer form No. 1. If the answer is received common fraction, convert it to decimal.

When completing the work, you can use the formulas containing the basic formulas of the mathematics course, issued along with the work. You are allowed to use a ruler, square, other templates for building geometric shapes (compass). Do not use instruments with reference materials printed on them. Calculators on the exam not used.

You must have an identification document with you during the exam ( passport), pass and capillary or gel pen with black ink! Allowed to take with myself water(in a transparent bottle) and I'm going(fruit, chocolate, buns, sandwiches), but they may ask you to leave them in the corridor.

OGE training test in MATHEMATICS

9th grade

Instructions for performing the work

Total time work - 235 minutes (3 hours 55 minutes)

Characteristics of the work. There are a total of 26 tasks in the work, of which 20 tasks basic level(part 1), 4 advanced level tasks (part 2) and 2 tasks high level complexity (part 2). The work consists of three modules: “Algebra”, “Geometry”, “Real Mathematics”.

The Algebra module contains 11 tasks: in part 1 - 8 tasks; in part 2 - 3 tasks. The "Geometry" module contains 8 tasks: in part 1 - 5 tasks; in part 2 - 3 tasks. The “Real Mathematics” module contains 7 tasks: all tasks are in part 1.

Tips and instructions for doing the work. Complete the tasks of Part 1 first. We recommend starting with the module whose tasks cause you the least difficulties, then move on to other modules. To save time, skip a task that you cannot complete immediately and move on to the next one. If you have time left, you can return to missed tasks.

All necessary calculations, transformations, etc. do it in draft. If the task contains a drawing, then you can use it directly in the text of the work to carry out the constructions you need. We recommend that you carefully read the conditions and check the response received.

When completing the tasks of Part 1, indicate first on the sheets with tasks training work, and then transfer to answer form No. 1.

Write down the solutions to the tasks in Part 2 and the answers to them on answer sheet No. 2. Tasks can be completed in any order, starting from any module. There is no need to rewrite the text of the assignment, you just need to indicate its number. Please note that entries in the draft will not be taken into account when grading the work.

When performing work, you can use reference materials.

How the work is assessed. The points you receive for correctly completed tasks are summed up. To successfully pass the training test, you must score at least 8 points in total: of which at least 3 points in the Algebra module, at least 2 points in the Geometry module and at least 2 points in the 2 points module "Real Mathematics". For each correctly completed task in Part 1, 1 point is awarded. In each module of Part 2, tasks are arranged in increasing difficulty and are worth 2 points.

We wish you success!

Part 1

Answers to tasks 2, 3, 8, 14 are written in the form of one number, which corresponds to the number of the correct answer. Write this number in the answer field in the text of the work. Then transfer the answer to answer form No. 1 to the right of the number of the corresponding task, starting from the first cell.

For the remaining tasks of Part 1, the answer is a number or sequence of numbers that must be written in the answer field in the text of the work. Then transfer the answer to answer form No. 1. If your answer is a fraction, convert it to a decimal.

Write each number, minus sign and comma in a separate box in accordance with the samples given in the form. There is no need to specify units of measurement. If the answer to the equation (task 4) is several numbers, write them in ascending order on answer sheet No. 1, separating them with a semicolon, for example: -3; 10.

If the answer contains a table, then transfer the sequence of numbers you wrote down without spaces or the use of other symbols to answer form No. 1.

In tasks 13 and 18, enter the numbers of the selected answers in any order without spaces or using other characters.

Algebra module

№1.

Find the value of the expression 0.7 (- 10)3 - 20.

Answer: ____________________

№2.

Point A is marked on the coordinate line.

It is known to correspond to one of the four numbers below. Which number corresponds to point A?

1) 2) 3) 0,6 4) 4

Answer: ____________________

№3.

Which of the numbers below is the value of the expression · ?

1) 2) 3) 4)

Answer: ____________________

№4.

Find the roots of the equation x2 - 3x - 18 = 0

If there are several roots, write them separated by a semicolon in ascending order.

Answer: ____________________

№5.

The figure shows graphs of functions of the form y =kx +b. Establish a correspondence between the signs of the coefficients and the graphs of the functions.

GRAPHICS COEFFICIENTS

A)k>0, b>0

B)k>0, b<0

IN)k<0, b>0

Answer:

№6.

The first three terms of the number sequence are written: 20; 17; 14. What number is in 6th place in this sequence?

Answer: ____________________

№7.

Simplify the expression · and find its value ata = 19, b= 8.2. Write down the value you found in your answer.

Answer: ____________________

№8.

Specify the solution to the inequality 9x - 4(x - 7)< - 3.

1)(5; + ∞) 2)(- 6,2; +∞) 3)(- ∞; - 6,2) 4) (- ∞; 5)

Answer: ____________________

Module "Geometry"

№9.

The height of an isosceles trapezoid drawn from vertex C divides the base AD into segments of length 1 and 5. Find the length of the base BC.

Answer: ____________________

№10.

Triangle ABC is inscribed in a circle with center at point O. Find the degree measure of angle C of triangle ABC if angle AOB is 63°.

Answer: ____________________

№11.

In triangle ABC, the midpoints of the M and N sides BC and AC are marked, respectively. The area of triangle CNM is 2. Find the area of quadrilateral ABMN.

Answer: ____________________

№12.

On checkered paper with a square size of 1x1, three points are marked: A, B and C. Find the distance from point A to the middle of segment BC.

Answer: ____________________

№13.

Which of the following statements is true?

1. All angles of a rhombus are equal.

2. The inscribed angle subtended by the diameter of the circle is straight.

3. If two sides and an angle of one triangle are equal to two, respectively

sides and angle of another triangle, then such triangles are congruent.

Answer: ____________________

Module "Real Mathematics"

№14.

The table shows the standards for skiing 1 km for grade 10

	boys				girls
Mark	"3"	"4"	"5"	"3"		"4"	"5"
Time (in minutes and seconds)	5:00	5:30	4:40	7:10		6:30	6:00

What mark will a girl get if she runs 1 km on skis in 6 minutes 15 seconds?

In your answer, indicate the number of the correct option.

1) Unsatisfactory

2) "4"

3) "3"

4) "5"

Answer: ____________________

№15.

On the ris-sun-ke-ka-za-but, as-me-the-moment-of-the-air-dust-ha-during the course of the day. By go-ri-zon-ta-li the time is indicated, by ver-ti-ka-li - the meaning of the temperature in the cities of Tsel-siya. Find the highest temperature value for this day. Give the answer in grad-du-sah Tsel-siya.

Answer: ____________________

№16.

A set of pens that cost 80 rubles is sold with a 25% discount. When purchasing 4 such sets, the buyer gave the cashier 500 rubles. How many rubles in change should he receive?

Answer: ____________________

№17.

What angle (in degrees) do the minute and hour hands of a clock make at 5 o'clock?

Answer: ____________________

№18.

The diagram shows the number of SMS sent by listeners for each hour of a four-hour broadcast of a program based on radio requests. Determine how many more messages were sent in the first two hours of the program compared to the last two hours of the program.

Answer: ____________________

№19.

The average height of a resident of the city where Nikita lives is 169 cm. Nikita's height is 183 cm. Which of the following statements is true?

1. There will definitely be a resident with a height of less than 170 cm.

2. All residents of the city, except Nikita, are less than 169 cm tall.

3. All residents of the city are below Nikita.

4. There will definitely be a city resident with a height of 158 cm.

Answer: ____________________

№20.

The area of a quadrilateral can be calculated using the formulaS= where d1 and d2 — the lengths of the diagonals of the quadrilateral, — the angle between the diagonals. Using this formula, find the length of the diagonald2 , Ifd1 = 9, sinα= , aS = 56,25.

Answer: ____________________

Part 2

When completing tasks 21-26, use a separate sheet. First, indicate the task number, and then its solution and answer. Write clearly and legibly.

№21.

Simplify

№22 .

Two people simultaneously set off from the same place along the same road for a walk to the edge of a forest, located 4 km from the starting point. One goes at a speed of 2.7 km/h, and the other at a speed of 4.5 km/h. Having reached the edge, the second one returns back at the same speed. At what distance from the departure point will they meet?

№23.

At what value of p does the straight line y = 2x + p have a parabola y = x2 - Do 2 have exactly one common point? Find the coordinates of this point. Construct this parabola and a straight line in the same coordinate system for the found value of p.

№24.

Find the value of the angle COE, if OE is the bisector of the angle AOC, OD— bisector of the angle SOV.

№25.

The bisectors of angles C and D of the trapezoid ABCD intersect at point P lying on side AB. Prove that point P is equidistant from lines BC, CD and AD.

№26.

A quadrilateral ABCD with sides AB=25 and CD=16 is inscribed in a circle. Diagonals AC and BD intersect at point K, and∠ AKB=60°. Find the radius of the circle circumscribed about this quadrilateral.

Answers

Part 1

	1 option
	− 720


	3; 6
	132

	9,5


	31,5





	260
	150




	3 km
	(2; 0)

Assessment

The work consists of two modules: "Algebra and geometry". There are 26 tasks in total. Module "Algebra" "Geometry"

3 hours 55 minutes(235 minutes).

as one digit

, squarecompass Calculators on the exam not used.

passport), pass and capillary or! Allowed to take with myself water(in a transparent bottle) and I'm going

The time allocated for completing the examination work in mathematics is 3 hours 55 minutes(235 minutes).

Write down the answers to tasks 2, 3, 14 in answer form No. 1 as one digit, which corresponds to the number of the correct answer.

For the remaining tasks of part 1 the answer is a number or sequence of digits. Write your answer in the answer field in the text of the work, and then transfer it to answer form No. 1. If your answer is a fraction, convert it to a decimal.

When completing the work, you can use the formulas containing the basic formulas of the mathematics course, issued along with the work. You are allowed to use a ruler, square, other templates for constructing geometric shapes ( compass). Do not use instruments with reference materials printed on them. Calculators on the exam not used.

OGE in mathematics is a mandatory exam for all 9th grade graduates who enter 10th grade or leave school to enter other educational institutions.In order to pass the exam, a student who has carefully and carefully completed all the tasks in class does not have to make any specific preparation efforts.Especially if you need a minimum passing grade of three.

All tasks are presented in 3 directions: algebra, geometry, real mathematics. The most important feature is the restriction on completing tasks in blocks: if you solve 2 or less tasks from the geometry part, the score will be “2”, the total score does not matter.
The structure does not change: the student is asked to complete 5 tasks in the geometry block, 8 in algebra, 7 in real mathematics. This is the first part of the test - each correct answer is worth 1 point.
The second part: it is expected to solve tasks of increased complexity, the maximum score for each is 2.

How to effectively prepare for the OGE in mathematics?

The main thing is to set the goal correctly: the goal is the desired grade.
It is required to effectively study the theory, go through the program of previous classes, become familiar with for the exam.
It is very important to “get your teeth into” - this means regular practice in solving mathematics problems of different levels of complexity. It’s easy to learn how to solve tasks of the same type using a model - when you bring the process to automatism, no exam will cause difficulties.
Online testing will help you immerse yourself in the atmosphere of the final test - it’s just solving problems, but also training to do it for a while. If there are systematic errors, you can address them to a tutor or school teacher.
If you plan to prepare on your own, you should start it in advance and give yourself time.
Learn to plan and save time.

The main principle of preparation is an integrated approach: all topics should be studied evenly; if a gap is discovered, more time is devoted to this topic. For high-quality preparation for mathematics, dry theory is not enough; the basis for success in the exam is skillful practice.

Geometry: requires more thorough preparation, since much less time is allocated for it in school than for algebra. To cope with problems, study the rules, laws, and solution algorithms.
Algebra: some tasks require simple following of algorithms, more complex tasks require constructing complex graphs of functions and word problems.

To guarantee yourself success in the exam, do not refuse any opportunity to train: attend school electives, online courses remotely, engage in self-education, carefully study topics in class.
“Solving the OGE in Mathematics” is a simple and affordable way to gain experience in solving tasks of varying complexity against time. Regular preparation will allow you to plan your exam time wisely, avoid stress and get a good result.