These two volumes (sold separately) are complete guides to the most difficult problems found on the test. Used as a resource by students, tutors, and prep courses the world over

This two-volume set is a field-tested resource that has helped thousands of students get a top math score on the SAT.

The vast array of problems let students concentrate on their weakest areas as the test date approaches. These are fat books. Problems are explained not in typical textbook shorthand, but in full, conversational paragraphs like a tutor would teach them at a whiteboard (or over Zoom).

Unique to these two volumes are the over 600 alternate solutions that illustrate tips, 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, Data Analysis, Science, Engineering, and Business Problems, and more.

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 550 on the math section. Every problem includes a hint and a clear solution presented as a tutor would teach it.

There are over 300 problems called archetypes that cover 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 -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.

Because easy questions have been filtered out, volumes 1 and 2 contain enough hard problems for about 50 different SAT tests. Such a huge collection allows students and instructors to easily focus on shaky subjects.