This is THE encyclopedia of SAT hard math. With hundreds of tips, tricks and shortcuts, SAT Math: Master Guide to Hard Problems is a field tested resource that has helped thousands of good students get a top math score on the SAT. Organized by subject, the clear, concise subject reviews and vast array of problems let students concentrate on their weakest areas when time is limited. With easy questions filtered out, volumes 1 and 2 contain enough hard problems for about 50 different SAT tests.

In use for over 10 years and upgraded annually to reflect the latest SATs, these books are an exhaustive guide to the most difficult problems found on the test.

Unique to this book are the over 600 alternate solutions that illustrate shortcuts and clever methods that are less obvious, but save valuable time if employed. Their purpose is to impart creative intuition and insight into the many paths a solution may take.

This is Volume 1 of 2, which covers Number Theory, Algebra, Functions, Simultaneous Equations, Complex Math, and more. Volume 2 of 2 (sold separately) covers Geometry, Combinations, Permutations, Probability Theory, Trigonometry, Science, Engineering and Business problems, and more.

This two-volume set is based on a thorough analysis of SAT specifications, published tests, prep books, the best SAT prep websites, and the author's years of experience tutoring SAT students. It includes all subject areas and distills the scope of questions into archetypes of the most challenging math problems.

There are over 300 such archetypes covering every problem solving technique a student will need to score an 800. The framework of this guide is anchored on these archetypes. They form a basis set of problems designed to minimize the virtual distance between them and any math problem a student might encounter on the SAT.

Subject reviews are included along with over 500 additional practice problems that expand the areas covered by the archetypes. Practice problems do not simply replay the archetypes - almost all are unique variants. Some practice problems are more difficult than their corresponding archetypes. A few practice problems, identified by the signifier CHALLENGE, are more intricate than similar problems on the SAT. However, these are great practice for the warrior class and require only the same basket of problem solving techniques needed for the test.

Over 800 problems are fully explored in these two volumes. They are very challenging for most students and all would typically be missed by those scoring less than 600 on the math section. Every problem includes a hint and a clear solution presented as a tutor would teach it.

Such a huge collection allows students and instructors to easily focus on shaky subjects.