GRE数学备考策略与模拟试题【2025|PDF|Epub|mobi|kindle电子书版本百度云盘下载】

GRE数学备考策略与模拟试题PDF格式电子书版下载

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1 The GRE General Math Exam1

Exam Structure1

Question Types2

Multiple-Choice Questions2

Multiple-Answer Questions3

Quantitative Comparison Questions3

Numeric Entry Questions4

Topics and Scoring5

Calculator Use6

Problems8

Solutions9

2 STRATEGIES AND PROBLEM SOLVING13

Test-Taking Strategies13

Problem Solving14

General Strategies16

Use a Diagram16

Pay Attention to Units20

Use Numbers Instead of Variables21

Strategies for Multiple-Choice Questions22

Test Answers Starting with C22

Use Numbers Instead of Variables22

Eliminate Choices，Then Guess23

Strategies for Data Interpretation Questions24

Estimate.Don't Calculate25

Try to Visualize Rather Than Calculate25

Strategies for Quantitative Comparison Questions26

Do the Same Thing to Each Quantity26

Compare，Don't Calculate27

Replace Variables with Numbers27

Choose a Good Number for the Whole28

Guess29

Strategies for Numeric Entry Questions30

Don't Simplify Fractions30

Strategies for Multiple-Answer Questions31

Problems31

Solutions34

3 NUMBERS39

Numbers40

Operations40

Basic Properties40

Absolute Value42

Order of Operations：PEMDAS43

Problems45

Basic Problems45

GRE Problems45

Integers46

Consecutive Integers48

Problems48

Basic Problems48

GRE Problems50

Number Theory52

Divisibility Rules52

Odds and Evens54

Prime Numbers55

Greatest Common Factor and Lowest Common Multiple57

Problems58

Basic Problems58

GRE Problems59

Fractions61

Equivalent Fractions62

Mixed Fractions64

Operations on Fractions65

Simplifying Complex Fractions68

Solving Fraction Problems with Diagrams69

Problems70

Basic Problems70

GRE Problems72

Decimals74

Converting Between Fractions and Decimals75

Comparing Decimal Numbers76

Operations on Decimals76

Multiplying or Dividing byPowers of Ten77

Problems77

Basic Problems77

GRE Problems78

Radicals and Exponents79

Simplifying Radicals80

Defining Powers81

Rules forWorkingwith Powers82

Problems83

Basic Problems83

GRE Problems84

Solutions86

Numbers86

Integers87

Number Theory90

Fractions94

Decimals98

Radicals and Exponents100

4 ALGEBRA103

Polynomials and Factoring103

Problems107

Basic Problems107

GRE Problems108

Solving Equations110

Solving Systems of Linear Equations113

Problems115

Basic Problems115

GRE Problems117

Inequalities119

Problems122

Basic Problems122

GRE Problems123

Functions125

Problems127

Basic Problems127

GRE Problems128

Solutions129

Polynomials and Factoring129

Solving Equations131

Inequalities134

Functions137

5 DATA ANALYSIS139

Percentages139

Problems142

Averages144

Problems148

Charts and Graphs150

Problems153

Counting157

Venn Diagrams158

Partitions159

Counting Commas160

Problems161

Basic Problems161

GRE Problems162

Probability163

Problems165

Solutions168

Percentages168

Averages169

Charts and Graphs171

Counting173

Probability175

6 GEOMETRY179

Perimeter180

Problems183

Basic Problems183

GRE Problems184

Angles186

Problems189

Basic Problems189

GRE Problems190

Triangles192

Triangle Inequality194

Pythagorean Theorem195

Problems197

Basic Problems197

GRE Problems199

Polygons201

Regular Polygons202

Quadrilaterals204

Problems206

Basic Problems206

GRE Problems207

Area209

Connecting Area and Perimeter212

Problems213

Basic Problems213

GRE Problems214

Surface Area and Volume217

Surface Area217

Volume219

Problems221

Basic Problems221

GRE Problems222

Solutions224

Perimeter224

Angles227

Triangles229

Polygons231

Area234

SurfaceArea andVolume237

7 SAMPLE EXAMS AND SOLUTIONS241

SampleTest 1245

SampleTest 2253

Answers and Complete Solutions to SampleExams259

Appendix：Suggested Facts to Memorize271

Index273