Unified State Examination basic level task 1. Demonstration versions of the Unified State Examination in mathematics (grade 11)

Preparation for the Unified State Exam 2015 in mathematics. Test N 1. Basic level

This test checks the readiness of graduates for the Unified State Exam in mathematics. The complexity and topic of the tasks, the structure of the test fully correspond to the real options that will be offered in the exam.

Let me remind you that starting from 2015, the Unified State Examination in mathematics is conducted at two levels: basic and specialized. The basic level is sufficient to obtain a school certificate. The profile level is intended for graduates who plan to enter universities with increased requirements in mathematics.

The proposed test corresponds basic level complexity. The Unified State Examination in basic level mathematics does not offer tasks that require a detailed solution. You will only encounter problems with short answers. The total number of tasks is 20, their complexity is relatively low.

You have 180 minutes to complete this test. The answer to each task is an integer (several numbers) or a finite decimal fraction. Let me remind you: the answer can only contain numbers, the “-” sign and a comma separating the fractional part of the number. In the 18th and 19th problems, you need to mark the correct answer options (there may be several of them).

If you complete less than 7 tasks correctly, this is a bad result! You can expect a failing grade on the exam. We urgently need to begin serious preparation for the Unified State Exam in mathematics: study with a tutor, solve Unified State Exam tests from previous years; master at least the basics of arithmetic, algebra and geometry.

If you confidently solve 7-12 tasks, this is not bad, but it is advisable to have a slightly larger margin of safety. Who can guarantee that in a real exam, due to excitement, haste, or inattention, you will be able to answer the same 7 to 12 questions? Train! Try to get your level up another 2-3 points!

A result above 15 points can be considered excellent.

Assessment

3 hours(180 minutes).

20 short answer questions and practical skills.

The answer

But you can make a compass Calculators on the exam not used.

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

Allotted to complete the work 3 hours(180 minutes).

The examination paper consists of one part, including 20 short answer questions basic level of difficulty. All tasks are aimed at checking the mastery of basic skills and practical skills application of mathematical knowledge in everyday situations.

The answer for each of tasks 1–20 is whole number or finite decimal fraction, or sequence of digits. A task with a short answer is considered completed if the correct answer is written down in answer form No. 1 in the form provided for in the instructions for completing the task.

When completing the work, you can use the formulas containing the basic formulas of the mathematics course, issued along with the work. Only a ruler is allowed, but it's possible make a compass with your own hands. 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 you water(in a transparent bottle) and I'm going(fruit, chocolate, buns, sandwiches), but they may ask you to leave them in the corridor.

Since 2015, Unified State Exam in Mathematics carried out in the form two separate exams – basic level And profile level.

The basic Unified State Examination is organized for graduates studying mathematics for general development and successful life in society, as well as applicants to universities that do not require a high level of proficiency in mathematics. Points obtained on the basic Unified State Examination in mathematics, are not translated into a hundred-point scale And do not give the opportunity to participate in the competition for admission to universities.

The specialized Unified State Examination is conducted for graduates and applicants who plan to use mathematics and related disciplines in their future professional activities. Results profile Unified State Examination in mathematics are converted to a hundred-point scale And may be presented applicant for the competition for admission to university.

Contains 20 tasks). In demo version presented on the examination paper. In real cases Basic level examination paper for each position is offered only one task.

When completing exam tasks for the Unified State Examination in basic level mathematics permission to use reference materials, which are issued to the student along with the Unified State Examination option.

Demo version of the Unified State Examination (USE) consists of two parts: part 1 contains short answer assignments, part 2 - short answer assignments And long-answer assignments.

All demo versions of the Unified State Examination in mathematics contain answers to all tasks, as well as assessment criteria for tasks with a detailed answer.

IN demo versions of the Unified State Examination in mathematics 2019 demo versions of the Unified State Examination in mathematics 2018 there were no changes.

Demo versions of the Unified State Examination in mathematics

Note that demo options for 2008 - 2019 are presented in pdf format, and to view them you must have, for example, the free Adobe Reader software package installed on your computer.

Changes in demo versions of the Unified State Examination in mathematics

Demonstration versions of the Unified State Exam in mathematics for grade 11 for 2002-2009 included three sections: A (tasks with a choice of answers from several proposed ones), B (tasks with a short answer) and C (tasks for which it was necessary to provide a complete solution to the problem).

In 2010 from demo version of the Unified State Examination in mathematics multiple-choice tasks that previously comprised section A were excluded. Thus, demo version of the Unified State Exam began to consist of only two sections B and C.

Demo version of the Unified State Exam 2011 almost completely coincided with demo version of the Unified State Exam 2010: Only tasks C1 and C5 were changed.

In 2014 in demo version of the Unified State Exam in mathematics There were no thematic changes compared to the previous year: tasks B3, B9, B14, C2 and C4 were replaced by other tasks of the same topic. In addition, a basic difficulty level short answer task was added, testing practical skills in applying mathematics in everyday life, and the order of the tasks was changed.

In 2015, in order to conduct the Unified State Examination in mathematics, major changes: it was decided to carry out two separate exams – basic level And profile level.

In this regard, in 2015 it was presented 2 demo options: new model demo version for Basic level Unified State Exam And upgraded 2014 demo model for carrying out USE profile level.

Demo version for the basic level Unified State Examination contained only basic level tasks difficulty with a short answer ( 20 tasks). In demo version was presented by several examples of tasks for each position examination work. In real cases examination paper for each position was proposed only one task.

Demo version of the 2015 profile exam developed based on the demo version of the Unified State Examination in mathematics 2014 with the following changes:

• The option became consist of two parts(part 1 - short answer assignments, part 2 - short answer tasks and long answer tasks).
• Numbering tasks became through throughout the entire version without the letter designations B, C.
• In the second part 1 task added high level of complexity with a detailed answer, which tests practical skills in applying mathematics in everyday life, skills in constructing and researching mathematical models.
• From the first part 1 task of basic difficulty level excluded.
• Minor changes have been made to the form and subject matter of tasks 16 and 17

IN demo version of the Unified State Examination in basic level mathematics 2016there were no changes.

IN demo version of the Unified State Examination in mathematics at the profile level 2016 the following changes have occurred:

• From the first part option two tasks were excluded: practical content assignment basic level of difficulty and stereometry assignment increased level of complexity.
• Maximum Primary Score for doing all the work reduced from 34 to 32 points.

IN demo versions of the Unified State Examination in mathematics 2017 - 2019 both basic level and profile level, compared to demo versions of the Unified State Examination in mathematics 2016 there were no changes.

On our website you can also get acquainted with educational materials for preparing for the Unified State Exam in mathematics prepared by teachers of our training center "Resolventa".

For schoolchildren who want to prepare well and pass Unified State Examination in mathematics or Russian language for a high score, the Resolventa training center conducts

We also organize for schoolchildren

This educational and methodological manual is intended for preparation for the Unified State Exam in Mathematics, for organizing and conducting final revision, diagnosing problem areas in the knowledge of high school students and their subsequent correction.
The manual is written in accordance with the approved demo versions and specifications of the Unified State Exam in Mathematics 2015. It contains a detailed analysis of the exam structure, as well as task-by-task comments, training and diagnostic work in the Unified State Exam format. The materials of the manual have been tested in hundreds of schools in various regions of Russia when organizing preparation for the Unified State Exam. The manual allows you to test your problem-solving skills, the quality of mastering the material, build individual repetition trajectories and effectively prepare for taking the Unified State Exam.
The manual is addressed to high school students and their parents, mathematics teachers and methodologists.
The publication complies with the Federal State General Educational Standard (FSES).

Examples of tasks:

The area of ​​the desired figure can be found using a well-known formula. For example, for a triangle or parallelogram, in many cases it is enough to mentally draw the height to one of the sides. You need to choose as sides and heights those whose lengths are expressed by an integer number of grid divisions, or those that are parallel to the coordinate axes. In some cases, you can use the Pythagorean theorem to calculate missing elements. A number of problems can be solved by breaking a figure into parts, the calculation of the areas of which is not difficult, or by noticing that the figure itself is part of another figure, and the area of ​​the latter can be found almost immediately.

PREPARATION FOR PART 1 OF THE USE IN MATHEMATICS.
1 Using the diagram, determine the maximum monthly number of queries with the word SNOW in the period from January to October 2009.
2 Determine from the diagram how many months there were in 2009 when the number of queries with the word SNOW was equal to 200,000.
3 Determine from the diagram how many times the maximum monthly number of queries exceeded the minimum monthly number of queries with the word SNOW in 2009.
4 Determine from the diagram how many months there were in 2009 when the number of queries with the word SNOW did not exceed 300,000.

TABLE OF CONTENTS
Unified State Exam 2015 in mathematics and how to prepare for it
Diagnostic work for the 10th grade course
Diagnostic work No. 1.
Diagnostic work No. 2.
Preparation for Part 1 of the Unified State Exam in Mathematics. Problems 1-9
Diagnostic work No. 3.
Diagnostic work No. 4.
Task 1.
Task 2.
Task 3.
Task 4.
Task 5.
Task 6.
Task 7.
Task 8.
Task 9.
Diagnostic work No. 5.
Diagnostic work No. 6.
Preparation for Part 2 of the Unified State Exam in Mathematics. Problems 10-14
Diagnostic work No. 7.
Diagnostic work No. 8.
Problem 10.
Problem 11.
Problem 12.
Problem 13.
Problem 14.
Diagnostic work No. 9.
Diagnostic work No. 10.
Short answer tasks (problems 1-14). Diagnostic work
Diagnostic work No. 11.
Diagnostic work No. 12.
Diagnostic work No. 13.
Diagnostic work No. 14.
Diagnostic work No. 15.
Diagnostic work No. 16.
Preparation for Part 2 of the Unified State Exam in Mathematics. Problems 15-21
Diagnostic work No. 17.
Diagnostic work No. 18.
TABLE OF CONTENTS
Problem 15.
Problem 16.
Problem 17.
Problem 18.
Problem 19.
Problem 20.
Problem 21.
Diagnostic work No. 19.
Diagnostic work No. 20.
Training options for the Unified State Exam in mathematics
Diagnostic work No. 21.
Diagnostic work No. 22.
Diagnostic work No. 23.
Diagnostic work No. 24.
Diagnostic work No. 25.
Diagnostic work No. 26.
Diagnostic work No. 27.
Diagnostic work No. 28.
Diagnostic work No. 29.
Diagnostic work No. 30.
Application
Results of the Unified State Exam 2014 in mathematics.
Real (open) versions of the Unified State Exam in mathematics..
2014
Option 103.
Option 357.
2013
Option 202.
Option 303.
Answers

Download the e-book for free in a convenient format, watch and read:
Download the book Preparation for the Unified State Exam in mathematics in 2015, basic and profile levels, methodological instructions, Yashchenko I.V., Shestakov S.A., Trepalin A.S., 2015 - fileskachat.com, fast and free download.

• Preparation for the Unified State Exam in mathematics in 2015, Basic and profile levels, Methodological instructions, Yashchenko I.V., Shestakov S.A., Trepalin A.S.
• Unified State Exam 2015, Mathematics, 20 test options, Thematic workbook, Yashchenko I.V., Shestakov S.A., Trepalin A.S., Zakharov P.I.
• Unified State Exam 2015, mathematics, 20 test options, thematic workbook, Yashchenko I.V., Shestakov S.A., Trepalin A.S., Zakharov P.I., 2015

The following textbooks and books:

• Unified State Exam 2015, mathematics, standard test tasks, Vysotsky I.R., Zakharov P.I., Panferov V.S., Positselsky S.E., Semenov A.V., Semenova M.A., Sergeev I.N. , Smirnov V.A., Shestakov S.A., Shnol D.E., Yashchenko I.V.