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# GMATSCORE eLESSONS Focus & prepare for the challenge: Use eLessons developed by the experts . . .  Probability eLesson
 Probability Lesson 1 Probability Lesson 2 Venn Diagrams This highly engaging eLesson on probability includes two parts, which together cover over 400 screens/pages of information. There is one supplementary electronic-format book on Venn Diagrams. Each book has illustrative diagrams to explain theoretical concepts clearly and lucidly. There are plenty of examples, tips, and detailed explanations, which provide you with a strong foundation on the basics and the applications of probability and probabilistic concepts. Practice with relevant and germane questions and increase the level of confidence with which you tackle probability questions on test-day. Use this electronic book to score high on the GMAT More…
Statistics eLesson
 Statistics Lesson 1 Statistics Lesson 2 This highly effective eLesson on statistics includes two parts, which together cover over 300 screens/pages of information. Each book has illustrative diagrams to explain theoretical concepts clearly and lucidly. There are plenty of examples, tips, and detailed explanations, which provide you with a strong foundation on the basics and the applications of statistics and statistical concepts. Practice with relevant and germane questions and increase the level of confidence with which you tackle statistics questions on test-day. Use this electronic book to score high on the GMAT. More…
Permutations & Combinations eLesson
 Permutations & Combinations 1 Permutations & Combinations 2 Permutations & Combinations 3 Counting Handshakes
 Circular Permutations
 The Scheduling Principle
 The Exponent of prime p in n!
 Subsets of a set with finite elements

This highly engaging eLesson on permutations and combinations includes three parts, which together cover over 550 screens/pages of information. Each book has illustrative diagrams to explain theoretical concepts clearly and lucidly. There are five supplementary lessons to enhance your understanding of specific topics. There are plenty of examples, tips, and detailed explanations, which provide you with a strong foundation on the basics and the applications of counting and arrangement concepts. Practice with relevant and germane questions and increase the level of confidence with which you tackle permutations and combinations questions on test-day. Use this electronic book to score high on the GMAT. More…
Geometry eLesson

 Geometry Lesson 1 Coordinate geometry Lesson 1 Coordinate geometry Lesson 2 Circles Angles in a polygon
 Area of triangles
 Parallelograms
 Pythagorean triplets

This highly focused and eLesson book on geometry includes four parts, which together cover over 750 screens/pages of information. Each book has illustrative diagrams to explain theoretical concepts clearly and lucidly. There are five supplementary lessons to enhance your understanding of specific topics. There are plenty of examples, tips, and detailed explanations, which provide you with a strong foundation on the basics and the applications of geometry concepts. Practice with relevant and germane questions and increase the level of confidence with which you tackle geometry questions on test-day. Use this electronic book to score high on the GMAT More…

 FACTS The GMAT is becoming more competitive every year. The median GMAT scores and cut-off GMAT scores for almost every school have steadily increased in the last few years. The GMAT is becoming more difficult every year. The GMAT scoring is less accurate at high score levels. Because more students are doing well in the math section, the test takers have started incorporating more difficult questions and more advanced topics to relieve this score clustering.
Features of our eLessons Focused Comprehensive Question drills Challenging questions Worked examples with detailed explanations Tip boxes Advanced topics Include data sufficiency questions Easy to read with user-friendly interface Electronic format (portable) Keyboard shortcuts for easier navigation

The GMAT is becoming more international every year.
In the last ten years, the number non-U.S. citizens taking the GMAT has risen an incredible 47%. According to Frederic McHale, senior VP of assessment and research at the General Management Admission Council, which administers the GMAT, Chinese, Japanese, and Korean nationals score an average of 70 points higher than their North American counterparts.

The GMAT is becoming more crucial every year.
Because of the dramatic improvement in the ability of test-takers, schools are faced with a slew of high GMAT scores; the schools have started using higher GMAT scores in their own ‘process of elimination’.

The GMAT is becoming more accessible every year.
With Pearson VUE’s broader reach, computerization of the test, and with the rising fortunes of the Asian middle-class, more and more international students will take the GMAT. Most of this expanded pool of test takers has superior quantitative skills. GMAT SCORE eLESSONS THAT PROVIDE A FOCUSED AND ENHANCED LEARNING EXPERIENCE

Now consider these facts

Over the past few years, the number of GMAT questions involving statistics, permutations & combinations, probability, and geometry has increased substantially.

Unlike the vast majority of GMAT concepts, most test takers do not cover these subjects in high school or college.

The test makers rely on these topics to create the most challenging problems, heightening the difficulty of the test.

Despite the growing number of these questions, the presence of these topics in test preparation guides and courses remains conspicuously limited.

Test preparation companies are lagging behind the recent trends, and do a disservice to the test takers by not exposing them to these more difficult concepts and questions.

"The GMAT is not an intelligence test," says Rod Garcia, director of MBA admissions at MIT's Sloan School of Management. The average score attained by applicants accepted at Sloan is 703. The concepts tested in the GMAT can be learnt, practiced, and mastered using the right tools and prep material.

Your GMAT score is probably the most important factor in determining whether you will be admitted to a top business school.

GMAT Score eLessons > System requirements:

 Delivery: Lessons can be downloaded via a link after your purchase. You will receive a serial number for the product you purchase by email from sales@gmatscore.com. Please add this email address to your address book and whitelist, so that it is not sent to your junk mail folder or otherwise deleted. Product activation: When you first install the products you purchase, you need to activate the products via an internet connection. This anonymous product activation will allow you to install the purchased product on two computers. Please download the product on the computer on which you intend to use the product; reinstalling the product on a different machine will render it non-functional. Internet connection required: To run our tests and elessons, and to take our courses, you will require a stable Internet connection on the computer you install the products. Our courses consist of products ( all tests and many elessons) that are run online, as well as others (all readings, many elessons, exercises, etc.) that run off-line

 Probability eLesson Probability Part 1 What is probability?           Six worked examples Some definitions Probability of more than one event           Listings, tables, and tree diagrams           Seven worked examples Compound events           The Use of the Conjunction AND                     Worked example           The Use of the Conjunction OR                     Worked example           Combination of AND and OR                     Two worked examples           Relationship between AND and OR                     Two worked examples Independent events           Four worked examples Mutually exclusive or disjoint events           Worked example Conditional probability           Three worked examples Using Venn diagrams to find probabilities           Two worked examples Probability Part 2 100 worked examples with detailed explanations Venn Diagrams What are they? Notations          Union (or)          Intersection (and) Distributive property of Union and Intersection De Morgan’s Laws Various regions in a Venn diagram Disjoint sets Subsets          Worked example Worked example Looking at conditional probabilities through Venn diagrams Number of regions in a Venn diagram Other formulas (2 Sets) Other formulas (3 Sets) Fifteen worked examples with detailed explanations Geometry eLesson Geometry Lesson 1 Lines and angles           Angles                     Worked example           Perpendicular and parallel lines                     Worked example Polygons           What is a polygon           Types of polygons           Polygons classified according to number of sides           Eight worked examples           Hexagon Triangles           Types of triangles                     Worked example           Area of a triangle           Pythagorean Theorem           Similar triangle           Congruent triangles           Exterior angles                     Worked example           Ratios in a right triangle           Median of a triangle           Some important theorems                     Midpoint theorem                     Basic proportionality theorem                     Interior angle bisector theorem                     Exterior angle bisector theorem Quadrilaterals           Parallelogram           Rhombus           Rectangle           Square                     Worked example           Trapeziod Circles           Four worked examples Mensuration           Cuboid (rectangular box)           Cube                     Worked example           Cylinder           Right circular cone           Sphere           Pyramid           10 worked examples with detailed explanations 22 worked examples with detailed explanations Coordinate Geometry Lesson 1 The Cartesian coordinate system Parallel and perpendicular lines           Slope of a straight line           Parallel lines           Perpendicular lines           Worked example Midpoint theorem           Exercise Distance formula           Corollary           Example Section formula           Worked example Angle a line makes with a positive direction of the x-axis           Worked examples Equation of a straight line in different forms           Slope-Intercept form           Point-slope form           Two-point form           Intercept form           Normal (or perpendicular) form           General form                     Condition for being parallel                     Condition for being perpendicular           Four worked examples Families of lines           One parameter family of lines           Examples of one parameter families of lines           Two worked examples Position of two points relative to a line           Worked example Distance of a point from a line           Two worked examples Translation of axes           Worked example Parametric equations           Worked example Other curves (conic sections)           Rectangular hyperbola           Parabola                     Two worked examples           Hyperbola           Ellispse                     Two worked examples Coordinate Geometry Lesson 2 37 worked examples (including data sufficiency) with detailed explanations Circles Prerequisites for this lesson What is a circle Tangent to a circle           What is a tangent Chord of a circle           What is a chord           What is a secant           The crossed chord theorem Angle properties of a circle           The radian measure           Angle at the center of a circle           Sector of a circle                     Worked example           Segment of a circle                     Worked examples           Angles in the same segment of a circle                     Worked example           Angle in a semi-circle                     Worked example Arc properties of circles           Major and minor arcs           Axiom of equal arcs           Arc length           Worked example Tangent properties of circles           Tangents drawn from an external point of a circle           Worked example           Alternate segment theorem                     Worked example           Common tangents to circles           Length of common tangent Important formulas Important properties of circles           Worked example Polygons in circles Annulus           Worked example Five worked examples Other lessons in the “Geometry Course Module” Angles in a polygon Area of triangles Parallelograms Cyclic quadrilaterals Pythagorean triplets

 Statistics eLesson Statistics Lesson 1 What is statistics? Measures of central tendency           Mean, median and mode Arithmetic mean (mean)           Mean of ungrouped data           Mean of discrete series           Mean for grouped data (continuous series)           Properties of the mean           Six worked examples Median           Advantages of the median           Two worked examples Mode           Eight worked examples           Two exercises Relative positions of mean, median, and mode           Eight worked examples Empirical relation between mean, median, and mode           Two worked examples Range           Two worked examples Deviation & standard deviation           Exercise           Four worked examples Statistics Lesson 2 Test your understanding from Lesson 1 Five question exercise (with answer keys) The standard deviation           Six worked examples Empirical rule Effect of linear transformation           Six worked examples The coefficient of variation (CV) Short cut formula for standard deviation           Three worked examples Worked examples           31 worked examples (including data sufficiency) with detailed explanations Permutations & Combinations eLesson Permutations & Combinations Lesson 1: Counting Techniques The Addition Principle           Three worked examples The Multiplication Principle           Eight worked examples           Practice Permutations           Three worked examples The Factorial Notation           Four worked examples           P(n,n)                     Two worked examples                     Practice           P(n,r)                     Six worked examples Combinations           Worked example           The Relationship Between Permutations & Combinations           Three worked examples Circular Combinations           Six worked examples Pigeon Hole Principle           Four worked examples Socks in a Drawer Principle           Worked example Cycles           Worked example Scheduling Principle           Four worked examples Subsets of a set with finite elements           Two worked examples Binomial coefficients           Worked example How many handshakes?           Four worked examples Diagonals of a polygon Permutations & Combinations Lesson 2: Arrangements Arrangements when repetition is allowed           18 worked examples with detailed explanations Total number of possible arrangements           Pascal’s formula           Binomial Expansion           Total Possible Arrangements                     Worked example Solving equations over non-negative integers           Two worked examples Permutations & Combinations Lesson 3: Worked examples 31 worked examples with detailed explanations Supplementary lessons Counting Handshakes Circular permutations The Scheduling Principle The Exponent of prime p in n! Subsets of a set with finite elements Sentence Correction eLesson Pronouns & Pronoun Errors Definition Types of pronouns Subjective and objective pronouns No ambiguity in reference A pronoun must agree with its antecedent Pronouns as compound subjects or compound objects Predicate nominative construction Who vs whom/Whoever vs whomever Possessive pronouns Pronouns before gerunds Indefinite pronouns; Everyone and Everybody Pronouns as appositives Pronouns with comparatives (subjective case) Pronoun use with ‘Let’s’ Intensive pronouns Reflexive pronouns Demonstrative pronouns Pronoun use with infinitives (objective case) Pronouns as antecedents Pronoun gender confusion Exercises Sentence Correction Primer Part 1: Sentences What makes a sentence? Structure of sentences           Simple           Complex           Compound           Complex-compound Functional definitions           Declarative           Interrogative           Imperative           Exclamatory ADVANCED: Style definitions           Periodic           Cumulative           Cleft           Emphatic Determining the subject of a sentence Mistakes people make           Run-on sentences           Comma splices Extending a sentence           Colon           Semicolon           Three dots           Dash Sentence Correction Primer Part 2: Parts of speech Verb           Definition and examples           Infinitive form of a verb           Split infinitives           Verb tenses           Does English really have a future tense?           Simple is best           Subject and object of a verb (Transitive and intransitive                     verbs)           Active and passive voice           Participles           Modals           Hypotheticals (subjunctive mood)           Two-word verbs Noun           Definition and examples           Types of nouns           Title case           Other words used as nouns           Concrete and abstract nouns           Countable and noncountable nouns           Possessive nouns Pronoun           Definition and examples           Who vs whom           Types of pronouns                     Demonstrative pronouns                     Indefinite pronouns                     Interrogative pronouns                     Possessive pronouns                     Absolute possessive pronouns                     Relative pronouns                     Reciprocal pronouns                     Reflexive and intensive pronouns           Whose and Who's           Which, in which, and to which           That and Which           I, Me, and Myself Adjective           Definition and examples           Types of adjectives           A or An           Participles as adjectives           Infinitives as adjectives           Prepositional phrases as adjectives           Clauses as adjectives Adverb           Definition and examples           Adverbial clauses and phrases           Placement of adverbs Preposition           Definition and examples           Prepositional phrases           Except and Accept           Past and Passed           Into, onto and up to           Do not end a sentence in a preposition           Unnecessary prepositions           What follows a preposition?           Prepositions govern the objective case           Whether or If Conjunction           Definition and examples           Types of conjunctions                     Coordinating                     Correlative                     Subordinating           Starting a sentence with a conjunction           Comma or semicolon before a conjunction? Interjection           Definition and examples           Punctuation Copyright © 2009 GMAT Score. All Rights reserved.