GMAT Quant. Core Competencies

Just to be clear, do you mean something like this: what-arithmetic-should-i-memorize-80128.html ?

Nope - more a list of 'foundation topics' and what stuff is needed as an absolute must for each topic...

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?

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...

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