This book is designed to prepare students for taking the SAT I--Reasoning Test using a problem-solving focus. It clarifies the purpose, structure, and use of the SAT I and provides meaningful instructional material and explanations which illuminate the necessary skills. The book begins with a review of essential fundamentals, including useful concepts from number theory, arithmetic, algebra, and geometry. This is followed by 30 model solutions of typical multiple-choice problems and 10 model solutions of carefully selected quantitative comparisons. Next, there are 22 practice tests, followed by a section of complete solutions to all of the problems. Students are urged to read the solutions presented and compare them with their own solutions in an effort to find the best method of solution for each type of problem. A cross-index is included to enable the student to locate particular topics within the instructional material. (MKR)