SAT Math 2019-2020! Complete Guide to the Hard Questions: Volume 2 of 2: ... the Most Complete Course Available ... Explained Like a Tutor ... Enough Hard Questions for 50 SAT Tests

This huge guide allows students to concentrate on their most difficult topics. With over 500 pages, Volume 2 alone covers the topics of Geometry, Combinations, Permutations, Probability, Trigonometry, and more. Volume 1, sold separately, covers the topics of Number Theory, Algebra, Functions, Complex Math, Real World Problems, and more. Volumes 1 and 2 are sold separately and contain 828 hard problems: enough unique hard math questions for 50 SAT tests, and plenty to allow students to concentrate only on the subjects they find difficult, if they wish. Written by a tutor with many years of experience, the goal of SAT Math 2019-2020! Complete Guide to The Hard Questions is to help good students move from an okay math score to a top math score on the SAT. It is a complete guide to the most difficult problems found on the test. This two-volume set is the product of an exhaustive analysis of the new SAT, the author's many years of tutoring SAT students, and includes all new subject areas included on the test. These two volumes together present, in one plan of study, the archetypes of the most challenging math questions found on the test. There are over 300 such archetypes covering every math subject and 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 will encounter on the SAT. Subject reviews are included along with over 500 additional challenging practice problems that reinforce, fill in, and 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 problems, identified with the word CHALLENGE, are probably more intricate than problems appearing on the SAT. These, however, are great practice for the warrior class - and require only the same basket of problem solving techniques as will be needed for the test. A total of 828 problems are fully explored in these two volumes. The bulk of these math problems are very challenging for most students - a 4 or 5, out of 5, in difficulty. Every one includes a hint and a clear solution presented as a tutor would teach it. Hundreds of alternate solutions illustrate shortcuts and other clever methods that are less obvious, but save valuable time, if employed. Their purpose is to impart creative intuition and insight into the multiple paths a solution may take. With easy questions filtered out, this collection contains enough hard math questions for 50 different new SAT tests.