SAT Math Guide: Hard Problems

Volume 2 covers the topics of Geometry, Combinatorics, Probability, and more.

These two volumes are sold separately and contain over 700 hard problems: enough hard problems 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 GUIDE: Hard Problems" is to...
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Volume 2 covers the topics of Geometry, Combinatorics, Probability, and more.

These two volumes are sold separately and contain over 700 hard problems: enough hard problems 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 GUIDE: Hard Problems" is to help good students move from an average math score to a top math score on the SAT. It is the product of an exhaustive analysis of the SAT. It collects together, in one plan of study, the models, or archetypes, of the most challenging math problems found on the test. There are 261 such archetypes covering every math subject and problem solving technique a student will need to achieve a perfect score. The framework of this guide is anchored on these archetypes. The archetypes are a basis set of problems designed to minimize the virtual distance between them and any math problem a student will encounter on the SAT.

Also included are subject reviews and 451 additional practice problems that reinforce, fill in, and expand the areas covered by the archetypes.

A total of 712 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 present 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 problems for about 50 different SAT tests.