Preparation for the Unified State Exam (USE) basic level. Exam in mathematics

The book contains 10 versions of sets of standard test tasks in mathematics, compiled taking into account all the features and requirements of the Unified State Examination in Basic Level Mathematics in 2016.
The purpose of the manual is to provide readers with information about the structure and content of test measurement materials in mathematics, the degree of difficulty of tasks.
The authors of the manual are leading experts directly involved in the development teaching materials to prepare for the implementation of control measuring materials of the Unified State Examination.
The collection contains answers to all test options.
In addition, samples of forms used in the Unified State Exam for recording answers and solutions are provided.
The manual can be used by teachers to prepare students for the exam in mathematics in the form of the Unified State Exam, as well as by high school students for self-preparation and self-control.

Examples.
When math teacher Ivan Petrovich teaches a lesson, he always turns off his phone.
Choose the statements that are true under the given conditions.
1) If Ivan Petrovich’s phone is on, it means he is not teaching a lesson.
2) If Ivan Petrovich’s phone is on, it means he is teaching a lesson.
3) If Ivan Petrovich is taking a test in mathematics, it means his phone is turned off.
4) If Ivan Petrovich is teaching a math lesson, then his phone is on.
In your answer, indicate the numbers of the selected statements without spaces, commas or other additional characters.

At the exchange office you can perform one of two operations:
for 5 gold coins you get 6 silver and one copper;
for 8 silver coins get 6 gold and one copper.
Nicholas only had silver coins. After the exchange office, he had fewer silver coins, no gold coins appeared, but 55 copper coins appeared. By how much did Nicholas's number of silver coins decrease?

Download the e-book for free in a convenient format, watch and read:
Download the book Unified State Examination 2016, Mathematics, Basic level, 10 variants of standard test tasks, Yashchenko I.V., Antropov A.V., Zabelin A.V. - fileskachat.com, fast and free download.

• Unified State Exam 2020, Mathematics, Basic level, 36 options, Typical versions of exam tasks, Yashchenko I.V., Antropov L.V., Zabelin A.V.
• Unified State Exam 2020, Mathematics, Basic level, 10 options, Typical test tasks, Antropov A.V., Zabelin A.V., Semenko E.A., Yashchenko I.V.
• Unified State Exam 2020, Mathematics, Basic level, 10 options, Typical test tasks, Yashchenko I.V., Antropov A.V., Zabelin A.V., Semenko E.A.
• Unified State Exam 2019, Mathematics, Basic level, 14 options, Typical test tasks, Yashchenko I.V., Antropov A.V., Zabelin A.V.

The following textbooks and books:

• Unified State Examination, 3300 problems with answers in mathematics, All tasks are closed segment, Profile level, Yashchenko I.V., Vysotsky I.R., Zakharov P.I., 2015

The collection contains 30 standard versions of examination papers, compiled in accordance with the demo version and the 2015 specification.
Some options were developed based on options used in the 2015 exam. The structure of the exam in 2016 will not change compared to last year.
In order to effectively use the collection, you must first determine your own goal for the Unified State Exam in mathematics.
There is no formal division into difficulty levels in the basic exam. However, it is necessary to understand that the tasks are mainly arranged in order of increasing difficulty level. Thus, tasks 1-9 are the simplest, 10-16 are of an average level, and tasks 17-20 can be considered more labor-intensive than the rest. At the same time, task 20 may seem elementary and obvious to some, but task 3 may cause difficulties.

Examples.
The cost of a monthly ticket is 690 rubles, and the cost of a ticket for one trip is 26 rubles. Anya bought a travel card and made 35 trips in a month. How many more rubles would she spend if she bought tickets for one trip?

The shot put competition includes 6 athletes from Great Britain, 3 athletes from France, 6 athletes from Germany and 10 from Italy. The order in which the athletes compete is determined by lot. Find the probability that the athlete competing last is from France.

When building a house, the company uses one of the types of foundations: concrete or foam block. For a foundation made of foam blocks, you need 3 cubic meters of foam blocks and 3 bags of cement. For a concrete foundation, 6 tons of crushed stone and 15 bags of cement are needed. A cubic meter of foam blocks costs 2,700 rubles, crushed stone costs 800 rubles per ton, and a bag of cement costs 280 rubles. How many rubles will the material cost if you choose the cheapest option?

CONTENT
Preface
Instructions for completing the examination work
Training options
Option 1
Option 2
Option 3
Option 4
Option 5
Option 6
Option 7
Option 8
Option 9
Option 10
Option 11
Option 12
Option 13
Option 14
Option 15
Option 16
Option 17
Option 18
Option 19
Option 20
Option 21
Option 22
Option 23
Option 24
Option 25
Option 26
Option 27
Option 28
Option 29
Option 30
Answers
Reference materials.

Download the e-book for free in a convenient format, watch and read:
Download the book Unified State Exam 2016, Mathematics, 30 options, Basic level, Yashchenko I.V. - fileskachat.com, fast and free download.

• I will pass the Unified State Exam, Mathematics, Self-study course, Technology for solving problems, Profile level, Part 3, Geometry, Yashchenko I.V., Shestakov S.A., 2018
• I will pass the Unified State Exam, Mathematics, Self-study course, Technology for solving problems, Profile level, Part 2, Algebra and the beginnings of mathematical analysis, Yashchenko I.V., Shestakov S.A., 2018
• I will pass the Unified State Exam, Mathematics, Self-study course, Technology for solving problems, Basic level, Part 3, Geometry, Yashchenko I.V., Shestakov S.A., 2018

In this section we are preparing for the Unified State Examination in mathematics at a basic, profile level - we present analysis of problems, tests, description of the exam and useful recommendations. Using our resource, you will at least understand how to solve problems and be able to successfully pass the Unified State Exam in mathematics in 2019. Begin!

The Unified State Examination in mathematics is a mandatory exam for any student in the 11th grade, so the information presented in this section is relevant for everyone. The mathematics exam is divided into two types - basic and specialized. In this section I provide an analysis of each type of task with a detailed explanation for two options. Unified State Exam assignments strictly thematic, so for each issue you can give precise recommendations and provide the theory necessary specifically for solving this type of task. Below you will find links to assignments, by clicking on which you can study the theory and analyze examples. Examples are constantly replenished and updated.

Structure of the basic level of the Unified State Examination in mathematics

The examination paper in basic level mathematics consists of one piece , including 20 short-answer tasks. All tasks are aimed at testing the development of basic skills and practical skills in applying mathematical knowledge in everyday situations.

The answer to each of tasks 1–20 is integer, trailing decimal , or sequence of numbers .

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.

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 myself 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 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.