R. on D.: 2015 - 400 p.
The manual includes: 40 author's training tests compiled according to the draft specification of the OGE-2016 in mathematics, a collection containing about 700 tasks that illustrate the main ideas of test materials in mathematics of past years, a brief theoretical reference book. The book will be useful to graduates of the 9th grade, as well as teachers preparing for the OGE. By completing the tests proposed in the book, you can achieve a successful passing of the OGE in mathematics with a high result. Answers are provided for all tests and tasks. In addition, for 10 options, solutions to the tasks of part 2 (to tasks with a detailed answer) are given. The manual is part of the educational and methodological complex "Mathematics. Preparation for the OGE".
Format: pdf
The size: 4.8 MB
Watch, download: 14 .12.2018, links removed at the request of the Legion publishing house (see note)
Table of contents
From authors 6
Chapter I Practice Tests 11
Option number 1 11
Option number 2 17
Option number 3 22
Option number 4 28
Option number 5 34
Option number 6 41
Option number 7 48
Option number 8 55
Option number 9 62
Option number 10 68
Option number 11 74
Option number 12 80
Option number 13 86
Option number 14 92
Option No. 15 98
Option No. 16 104
Option No. 17 110
Option No. 18 116
Option No. 19 122
Option No. 20 128
Option No. 21 134
Option No. 22 141
Option No. 23 148
Option No. 24 154
Option No. 25 160
Option No. 26 167
Option No. 27 174
Option No. 28 180
Option No. 29 186
Option No. 30 193
Option No. 31 200
Option No. 32 206
Option No. 33 212
Option No. 34 218
Option No. 35 224
Option No. 36 230
Option No. 37 236
Option No. 38 242
Option No. 39 248
Option No. 40 253
Part 2 Choice Solutions 257
Chapter II Collection of Problems 290
§ 1. Basic level (part 1) 290
1.1. Interest 290
§ 2. Enhanced level(part 2) 292
2.1. Transformations of algebraic expressions 292
2.2. Equations and systems of equations 297
2.2.1. Equations 297
2.2.2. Systems of Equations 298
2.3. Inequalities and systems of inequalities 302
2.4. Sequences and progressions 306
2.4.1. Arithmetic progression 306
2.4.2. Geometric progression 310
2.5. Functions and graphs 313
2.5.1. Function Graphs 313
2.5.2. Function scope 318
2.5.3. The greatest and smallest value functions 319
2.6. Text problems 319
2.7. Jobs with parameter 333
2.8. Geometry 340
2.8.1. Inscribed and circumscribed circle, triangle 340
2.8.2. Triangle 341
2.8.3. Rectangle. Parallelogram. Square. Rhombus 343
2.8.4. Trapeze 345
2.8.5. n-gons 346
2.8.6. Circle, chord, tangent, secant 346
Brief theoretical guide 348
§ 1. Approximate values. Rounding numbers. Standard form of the number 348
§ 2. Relations. Proportions 349
§ 3. Interest 349
§ 4. Actions with fractions 350
§ 5. Algebraic expressions 351
§ 6. Degree with integer exponent 352
§ 7. Polynomials. Expression conversion 352
§ eight. Algebraic fractions 353
§ 9. square roots 353
§ 10. Linear and quadratic equations 354
§ 11. Systems of two equations in two unknowns 356
§ 12. Inequalities in one variable and systems of inequalities 356
§ 13. Solution of quadratic inequalities. Inequalities containing a variable under the modulo sign. Systems of inequalities 357
§ fourteen. Number Sequences. Arithmetic and geometric progressions 358
§ 15. Investigation of a function and plotting 359
§ 16. Algebraic equations and systems of nonlinear equations 364
§ 17. Solution of irrational equations and equations containing an unknown under the modulus sign 364
§ 18. Tasks containing parameter 366
§ 19. Elements of combinatorics, statistics and probability theory 369
§ 20. Geometry 372
Answers 387
Answers to training tests 387
Answers to the collection of tasks 392
From the authors
The manual contains necessary material to prepare for the OGE in mathematics:
40 new author's training tests compiled according to the draft OGE-2016 specification;
problem book, which includes about 700 tasks illustrating the main ideas of the examination papers;
quick reference in elementary mathematics, containing theoretical material sufficient to solve all the tasks of this manual.
Answers are provided for all tests and tasks. In addition, for 10 options, solutions to the tasks of part 2 (to tasks with a detailed answer) are given. Solutions to the tasks of the second part of all other options can be found in the book “Mathematics. Reshebnik. Grade 9 Preparation for the OGE-2016”, which will be released separately.
Test options are arranged according to the principle of pairwise similarity: each odd option is similar to the next even one. Such an arrangement of tests allows, for example, to consider an odd variant in the class, and leave an even one similar to it for students to decide on their own. In options Nos. 1-20, this principle is strengthened: here the adjacent pairs of options (1-2 and 3-4, 5-6 and 7-8, etc.) are also similar, which should make it easier to prepare for the exam on early stage. For example, option No. 1 is original, option No. 2 is paired with option No. 1, option No. 3 is similar to option No. 1, option No. 4 is paired with option No. 3.
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Annotation:
The manual includes: 40 author's training tests compiled according to the draft specification of the OGE-2016 in mathematics, a collection containing about 700 tasks that illustrate the main ideas of test materials in mathematics of past years, a brief theoretical reference book.
The book will be useful to graduates of the 9th grade, as well as teachers preparing for the OGE. By completing the tests proposed in the book, you can achieve a successful passing of the OGE in mathematics with a high result.
Answers are provided for all tests and tasks. In addition, for 10 options, solutions to the tasks of part 2 (to tasks with a detailed answer) are given.
The manual is part of the educational and methodological complex “Mathematics. Preparation for the OGE.
Download for free the manual “Mathematics Grade 9. Preparation for the OGE 2016. 40 training options ”in PDF format:
Others you can find in the section of the same name in our club of parents.
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F.F. Lysenko, S.Yu. Kulabukhov “Mathematics Grade 9. Preparation for the OGE 2016. 40 training options” (PDF) was last modified: April 29th, 2016 by Koskin
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The educational and methodological manual of the Legion publishing house is intended to prepare for the OGE in mathematics in 2018. The book contains: 40 author's educational and training options, compiled according to the projects of the demo version and the OGE-2018 specification in mathematics, published on 08/22/2017; step-by-step solutions to tasks with a detailed answer for 10 options; a collection containing about 700 tasks; answers to all tasks; brief theoretical guide. The book was written in accordance with the draft demo version and specification of the OGE-2018 in mathematics, published on 08/22/2017.
OGE 2018. Mathematics. 40 training options
During its development, it was taken into account, in particular, the exclusion of the "Real Mathematics" module from the examination work and the distribution of the tasks contained in it among the modules "Algebra" and "Geometry".
Table of contents
From authors 6
Chapter 1 Training Options 12
Option number 1 12
Option number 2 17
Option No.> 3 22
Option number 4 27
Option number 5 32
Option number 6 37
Option number 7 42
Option number 8 47
Option number 9 52
Option number 10 57
Option number 11 62
Option number 12 67
Option number 13 72
Option No. 14 77
Option No. 15 82
Option No. 16 87
Option No. 17 92
Option No. 18 97
Option No. 19 102
Option No. 20 107
Option No. 21 112
Option No. 22 117
Option No. 23 122
Option No. 24 127
Option No. 25 132
Option No. 26 137
Option No. 27 142
Option No. 28 147
Option No. 29 152
Option No. 30 157
Option No. 31 162
Option No. 32 167
Option No. 33 172
Option No. 34 177
Option No. 35 182
Option No. 36 187
Option No. 37 192
Option No. 38 198
Option No. 39 204
Option No. 40 210
Choice Solutions 216
Chapter II. Collection of tasks 250
§ 1. Basic level (part 1) 250
1.1. Interest 250
§ 2. Advanced level (part 2) 252
2.1. Transformations of algebraic expressions 252
2.2. Equations and systems of equations 257
2.2.1. Equations 257
2.2.2. Systems of Equations 259
2.3. Inequalities and systems of inequalities 262
2.4. Sequences and progressions 267
2.4.1. Arithmetic progression 267
2.4.2. Geometric progression 270
2.5. Functions and graphs 274
2.5.1. Function Graphs 274
2.5.2. Function scope 279
2.5.3. The largest and smallest values of the function 279
2.6. Text problems 280
2.7. Jobs with parameter 294
2.8. Geometry 301
2.8.1. Inscribed and circumscribed circle, triangle 301
2.8.2. Triangle 302
2.8.3. Rectangle. Parallelogram. Square. Rhombus 305
2.8.4. Trapeze 306
2.8.5. n-gons 307
2.8.6. Circle, chord, tangent, secant 308
Chapter III. Brief theoretical guide 310
§ 1. Approximate values. Rounding numbers. Standard form of the number 310
§ 2. Relations. Proportions 311
§ 3. Interest 311
§ 4. Operations with fractions 312
§ 5. Algebraic expressions 313
§ 6. Degree with integer exponent 314
§ 7. Polynomials. Expression conversion 314
§ 8. Algebraic fractions 315
§ 9. Square roots 315
§ 10. Linear and quadratic equations 316
§ 11. Systems of two equations in two unknowns 318
§ 12. Inequalities in one variable and systems of inequalities 318
§ 13. Solution of quadratic inequalities. Inequalities containing a variable under the modulo sign. Systems of inequalities 319
§ 14. Numerical sequences. Arithmetic and geometric professions 320
§ 15. Investigation of a function and plotting 321
§ 16. Algebraic equations and systems of nonlinear equations 326
§ 17. Solution of irrational equations and equations containing an unknown under the modulus sign 326
§ 18. Tasks containing parameter 328
§ 19. Elements of combinatorics, statistics and probability theory 331
§ 20. Geometry 334
Answers to training options 349
Answers to the collection of problems 354
Preparation for the OGE should begin with the manuals “Mathematics. OGE-2018. 9th grade. Thematic training” and “Mathematics. 9th grade. OGE-2018. Exam preparation trainer. Algebra geometry". Both benefits can be used throughout school year, and the way of organizing the learning process depends on the level of training of students and the work plan. For example, with the help of a simulator, students can work out the skills to complete tasks of a basic level of complexity on a particular topic or on various topics. Tasks from the book “Mathematics. OGE-2018. 9th grade. Thematic training" can be used for homework, for the organization of diagnostics and control (self-control), as well as in the study of methods for solving problems of an increased level of complexity.
The new teaching aid of the Legion publishing house is intended to prepare for the OGE in mathematics in 2016. The book contains:
40 author's training tests, compiled according to the draft OGE-2016 specification in mathematics,
a collection containing about 700 tasks,
brief theoretical guide.
The book will be useful to graduates of the 9th grade, as well as teachers preparing for the OGE. By completing the tests proposed in the book, you can achieve a successful passing of the OGE in mathematics with a high result.
Answers are provided for all tests and tasks. In addition, for 10 options, solutions to the tasks of part 2 (to tasks with a detailed answer) are given.
The manual is part of the educational and methodological complex “Mathematics. Preparation for the OGE.
Examples.
The graphs (see Figure 12) show the number of shoppers at two grocery stores over time. Which largest number Was there a total of buyers in both stores?
Which of the following statements are correct?
1. The diagonals of a rhombus divide it into four equal triangles.
2. The area of a parallelogram is equal to the product of its diagonals.
3. The median divides the triangle into two triangles of equal area.
Table of contents
From authors 6
Chapter I Practice Tests 11
Option number 1 11
Option number 2 17
Option number 3 22
Option number 4 28
Option number 5 34
Option number 6 41
Option number 7 48
Option number 8 55
Option number 9 62
Option number 10 68
Option number 11 74
Option number 12 80
Option number 13 86
Option number 14 92
Option number 15 98
Option number 16 104
Option No. 17 110
Option No. 18 116
Option number 19 122
Option number 20 128
Option number 21 134
Option number 22 141
Option number 23 148
Option number 24 154
Option No. 25 160
Option number 26 167
Option number 27 174
Option No. 28 180
Option number 29 186
Option number 30 193
Option No. 31 200
Option No. 32 206
Option No. 33 212
Option No. 34 218
Option No. 35 224
Option No. 36 230
Option No. 37 236
Option No. 38 242
Option No. 39 248
Option No. 40 253
Part 2 Choice Solutions 257
Chapter II Collection of Problems 290
§one. Basic level (part 1) 290
1.1. Interest 290
§2. Increased level (part 2) 292
2.1. Transformations of algebraic expressions 292
2.2. Equations and systems of equations 297
2.2.1. Equations 297
2.2.2. Systems of Equations 298
2.3. Inequalities and systems of inequalities 302
2.4. Sequences and progressions 306
2.4.1. Arithmetic progression 306
2.4.2. Geometric progression 310
2.5. Functions and graphs 313
2.5.1. Function Graphs 313
2.5.2. Function scope 318
2.5.3. Maximum and minimum function values 319
2.6. Text tasks 319
2.7. Jobs with parameter 333
2.8. Geometry 340
2.8.1. Inscribed and circumscribed circle, triangle 340
2.8.2. Triangle 341
2.8.3. Rectangle. Parallelogram. Square. Rhombus 343
2.8.4. Trapeze 345
2.8.5. n-gons 346
2.8.6. Circle, chord, tangent, secant 346
Brief theoretical guide 348
§one. Approximate values. Rounding numbers. Standard form of the number 348
§2. Relations. Proportions 349
§3. Interest 349
§four. Actions with fractions 350
§5. Algebraic expressions 351
§6. Degree with integer exponent 352
§7. Polynomials. Expression conversion 352
§eight. Algebraic fractions 353
§9. Square roots 353
§ten. Linear and quadratic equations 354
§eleven. Systems of two equations with two unknowns 356
§12. Inequalities with one variable and systems of inequalities 356
§13. Solution of square inequalities. Inequalities containing a variable under the modulo sign. Systems of inequalities 357
§fourteen. Numeric sequences. Arithmetic and geometric progressions 358
§fifteen. Investigating Function and Plotting 359
§16. Algebraic Equations and Systems of Nonlinear Equations 364
§17. Solution of irrational equations and equations containing the unknown under the modulus sign 364
§eighteen. Jobs containing option 366
§19. Elements of combinatorics, statistics and probability theory 369
§twenty. Geometry 372
Answers 387
Answers to training tests 387
Answers to the collection of problems 392.
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Publication date: 12/20/2015 18:29 UTC
- OGE 2016, Mathematics, grade 9, Exam preparation simulator, Algebra, Geometry, Real mathematics, Lysenko F.F., Kulabukhov S.Yu., 2015
- OGE 2016, Mathematics, grade 9, Thematic training, Lysenko F.F., Kulabukhov S.Yu., 2015
