Cover -- Title page -- Contents -- Preface -- How To Use This Book -- Special Notation -- AHSME Honor Roll -- The Difficulty of the AHSME -- Related Mathematics Competitions -- Related Problem Solving References -- Use of calculators -- Generating the Examinations -- Reaction to these tests -- Creating the Problems -- Acknowledgments -- Sponsors -- Name -- AHSME RULES -- 40 AHSME -- Some Comments on the Distractors -- Answers and Response Distribution -- 41 AHSME -- Some Comments on the Distractors -- Answers and Response Distribution -- 42 AHSME -- Some Comments on the Distractors -- Answers and Response Distribution -- 43 AHSME -- Some Comments on the Distractors -- Answers and Response Distribution -- 44 AHSME -- Some Comments on the Distractors -- Answers and Response Distribution -- 45 AHSME -- Some Comments on the Distractors -- Answers and Response Distribution -- Solutions -- 40 AHSME Solutions -- 41 AHSME Solutions -- 42 AHSME Solutions -- 43 AHSME Solutions -- 44 AHSME Solutions -- 45 AHSME Solutions -- An Insider's Look at the AHSME Problems -- Solutions Affect Interest in Problem -- Problem Difficulty -- Problems on Applications -- Auxiliary Lines -- Fashion in Problems -- Problem Clarity -- Most Problems are Fresh -- Sensitivity and Problems -- AHSME Constants -- Multiple Choice -- AHSME Variables -- Inside Jokes -- Mathematical Problem Solving for Competitions -- Tools for Mathematics Competitions -- A Geometric Tool -- Number Theory Tools -- A Logarithmic Tool -- The Tool of Mathematical Induction -- Tools for Exponential Equations -- Euler's Formula -- One Final Comment on Problem-Solving -- Classification of Problems -- Algebra -- Complex Numbers -- Discrete Mathematics -- Geometry -- Number Theory -- Statistics -- Trigonometry.