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n2739178
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GMAT Quant. Core Competencies Updated on: 25 Oct 2010, 12:03
Originally posted by n2739178 on 25 Oct 2010, 12:00.
Last edited by n2739178 on 25 Oct 2010, 12:03, edited 1 time in total.
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Core Quantitative Competencies - GMAT 2010

Hi all,

After seeing a Veritas instructor reply to this post: gmatclub.com/.../please-help-with-this-question-number-properties-exponents-92796.html

with this:

"For exponents, your core competencies are:

Multiplication (so you should look to factor addition/subtraction to set up an opportunity to multiply)
Finding common bases for multiplication and equations (which is what you need to use here to get the 10 in terms of 2 and 5)
Looking for patterns and number properties (units digit, positive/negative, etc.)"

...I came up with an idea to have a forum post listing all the 'core competencies' one needs to cover in order to ace the Quant. section...

So lets come up with a definitive list starting with the one I just mentioned (will put in the next post)...
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GMAT Quant. Core Competencies 25 Oct 2010, 12:01
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EXPONENT CORE COMPETENCIES:

* Multiplication (so you should look to factor addition/subtraction to set up an opportunity to multiply)
* Finding common bases for multiplication and equations (which is what you need to use here to get the 10 in
terms of 2 and 5)
* Looking for patterns and number properties (units digit, positive/negative, etc.)
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GMAT Quant. Core Competencies 25 Oct 2010, 12:24
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Once everyone has contributed a lot to this I'll put it all in a word document :)
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GMAT Quant. Core Competencies 25 Oct 2010, 12:48
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Just to be clear, do you mean something like this: what-arithmetic-should-i-memorize-80128.html ?
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GMAT Quant. Core Competencies 25 Oct 2010, 12:55
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Nope - more a list of 'foundation topics' and what stuff is needed as an absolute must for each topic...
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GMAT Quant. Core Competencies 25 Oct 2010, 14:07
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NUMBER PROPERTIES (in no particular order):

    Properties of Prime Numbers.

    Factors, Multiples, Quotients and Remainders

    Factor Foundation Rule

    Prime Factorisation

    Greatest Common Factor (GCF) and Lowest Common Multiple (LCM)

    Odds and Evens (Rules of, testing odd/even cases)

    Integer divisibility rules

    Positives & Negatives

    Absolute Value

    Consecutive Integers & Consecutive Sets

    Factorials

    Exponents & Roots
...any others?
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GMAT Quant. Core Competencies 25 Oct 2010, 14:09
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1 more thing to add to this: let's try and add, under each subtopic, a list of questions or links to questions we've come across from various sources (e.g. OG, Quant. Review, GMATClub tests, GMATClub user questions, Verbal Review etc.) relating to each topic. Then we can all start focusing on our weaker areas by hammering out questions from those areas, in a focused way...
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GMAT Quant. Core Competencies 13 Nov 2010, 12:43
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from: https://www.urch.com/forums/gmat-math/52 ... -gmat.html

List of Math topics on THE GMAT


1.DIVISIBILITY & PRIMES: Factors, Multiples, Prime Factorization, Factor Foundation Rule, Prime Boxes, Prime Products, GCF, LCM

2. ODDS & EVENS: Sum, Difference, & Product Rules, Two Prime Sum Rule

3. POSITIVES & NEGATIVES: Absolute Value, Product & Quotient Rule, Systematic Testing

4. CONSECUTIVE INTEGERS: Series Counting, Series Sum, Series Average, Special Products, Special Sums, Series Divisibility

5. EXPONENTS: General Rules, Special Bases, Simplifying & Combining Exponential Expressions

6. ROOTS: General Rules, GMAT Root Convention, Simplifying & Combining Root Expressions, Imperfect vs. Perfect Squares, Common Roots & Cubes

7. PEMDAS: Order of Operations

1. BASIC EQUATIONS: One-Variable Equations, Simultaneous Equations, Mismatch Problems, Combo Manipulations, Absolute Value Equations

2. EXPONENTIAL EQUATIONS: Even Exponents, Common Bases, Common Exponents, Eliminating Roots

3. QUADRATIC EQUATIONS: Factoring, Disguised Quadratics, Foiling, Undefined Denominators, Favorite Forms

4. FORMULAS: Plug-Ins, Strange Symbols, Unspecified Amounts, Sequences, Patterns

5. FUNCTIONS: Numerical Substitution, Variable Substitution, Compound Functions, Unknown Constants, Graphs

6. INEQUALITIES: Basic Inequalities, Even Exponent Inequalities, Absolute Value Inequalities, Combining Inequalities, Extreme Values

7. VIC’S: Variables In Answer Choices, Tracking Charts, Target Numbers, Equation-Based VIC’s

1. ALGEBRAIC TRANSLATIONS: Translation Techniques, Variable Organization

2. RATES & WORK: RTD Charts, Average Rate, Simultaneous Motion, Clicking Charts, Basic Work, Working Together, Population

3. RATIOS: Labels, Proportions, Unknown Multipliers

4. COMBINATORICS: Factorials, Anagrams, Permutations, Combinations, Constraints

5. PROBABILITY: And vs. Or, 1 - x Shortcut, Domino Effect, Winning Scenarios, Counting Methods

6. STATISTICS: Average Formula, Median, Standard Deviation

7. OVERLAPPING SETS: Double-Set Matrix, Sets & Percents, Sets & Algebraic Representation, Venn Diagrams

1. DIGITS & DECIMALS: Place Value, Estimation, Powers of
10, Last Digit Shortcut, Heavy Division Shortcut, Decimal Operations

2. FRACTIONS: Simplifying, Multiplication Shortcut, Reciprocals, Cross-Multiplication, Splitting Denominators, Benchmark Values, Smart Numbers

3. PERCENTS: Percent Tables, Percentage Change, Successive Percents, Percent Formulas, Percent Mixtures4. FDP’s: FDP Connections, Conversions, Common Equivalents

1. POLYGONS: Quadrilaterals, Interior Angles, Perimeter, Area, Dimensionality, Surface Area, Volume

2. TRIANGLES & DIAGONALS: Side-Angle Relationships, Triangle Theorems, Isosceles & Equilateral Triangles, Special Ratios, Polygon Diagonals

3. CIRCLES & CYLINDERS: Circumference, Arc Length, Area, Sectors, Inscribed & Central Angles, Cylinder Surface Area & Volume

4. LINES & ANGLES: Intersecting Lines, Parallel Lines, Exterior Angles, Transversals

5. COORDINATE PLANE: Slopes, Intercepts, Distance, Quadrants, Perpendicular Bisectors
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