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Calculator Skills for Mathcounts Competitions (PDF File)

 

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Mathcounts competitions in all levels (school, chapter, state, and national) have two rounds (Target and team round) in which a calculator is allowed. Students who are skillful in using calculators and have some training experience will have a significant advantage over students completely untrained. Calculator skills can help students solve hard problems and save times for other problems. The advantage is also evident for the SAT II Math test or AP calculus test.

This book shows you many skills needed to excel in Mathcounts competitions as well as SAT I and II Math tests.  

 
TABLE OF CONTENTS

 

Chapter 1 Introduction                                                                                1

 

Rules about using the calculators                                                        1

Mathcounts calculator policy                                                  1

College Board SAT/AP calculator policy                               2

Know your calculator                                                                          3

            Problems and solutions                                                                       10

 
Chapter 2 Basic Arithmetic Calculations                                                   13

 

1. Exponents                                                                                       13

2. Square roots                                                                                    17

3. Cube roots and other radicals                                                         20

4. Absolute values                                                                               22

5. Permutations and combinations                                                      23

            6. Problems and solutions                                                                   26

 

Chapter 3. Basic Algebra Calculations                                                       37

1. Simplifying algebraic functions                                                     38

2. Factoring and multiplying                                                               40

3. Evaluating an expression                                                                44

4. Evaluating functions                                                                       51

5. Partial fraction decomposition                                                        53

            6. Problems and solutions                                                                   56

 

Chapter 4 Solving An Equation                                                                  68

 

1. Linear equations                                                                             68

2. Nonlinear equations                                                                        72

            3. Problems and solutions                                                                    79

 

Chapter 5 SolvingDiophantine Equations                                                 92

           

Problems and solutions                                                                        100

 

Chapter 6 Solving A System of Equations                                                 107

 

1. System of linear equations                                                              107

2. System of nonlinear equations                                                        114

            3. Problems and solutions                                                                    118

 

Chapter 7 Solving Inequalities                           129

            1. Linear inequality                                                                             129

2. Absolute value inequality                                                               132

3. Nonlinear inequality                                                                       134

4. System of inequalities                                                                     138

5. Problems and solutions                                                                   140 

 

Chapter 8 Solving Geometry Problems                                               149

Problems and solutions                                                                       156

 

Chapter 9 Programming                                                                              162

Index                                                                                                              207
 
 

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If you have any question, please email to [email protected]

 
 

     
 
 
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