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
Click here for sample file: