Table of Contents

The GRE Math Bible is structured in such a way to teach you all the concepts you need to know on the GRE, then--in two steps--ensure that you've understood the material you've just seen.

In each of the topics listed below, there is an expository section on each topic listed below, followed by 10 to 20 "drill" questions (not GRE-like questions, just a subject quiz to see if you understood the material) and then about five realistic GRE practice questions on that topic. Depending on the topic, those realistic questions include both Problem Solving and Quantitative Comparisons.

So, here you go: a list of the contents of the GRE Math Bible.

  • Mental Math
  • Algebra:
    • Fractions
    • Decimals
    • Simplifying Expressions
    • Linear Equations
    • Systems of Equations (solving for multiple variables)
    • Quadratic Equations (equations with exponents)
    • Inequalities
    • Absolute Value
    • Exponents
    • Roots
  • Word Problems:
    • Ratios (free sample chapter)
    • Percents
    • Rates
    • Work (also known as combined rate)
    • Measurement (unit conversion)
    • Mixture
  • Geometry
    • Lines and Angles (parallel lines, opposite and complementary angles, etc.)
    • Triangles
    • Right Triangles (including common triangle ratios)
    • Quadrilaterals (squares, rectangles, trapezoids)
    • Circles (including arcs and sectors)
    • Solids (cubes, rectangular solids, cylinders; volume and surface area)
    • Coordinate Geometry (slope, equation of a line, etc.)
    • Polygons (figures with more than four sides)
  • Number Properties
    • Primes
    • Factors (including prime factorizations)
    • Multiples (including divisibility rules)
    • Evens/Odds
    • Consecutive Numbers
  • Sets:
    • Average
    • Weighted Average
    • Statistics (mean, mode, range, standard deviation)
  • Data Analysis:
    • Circle Graphs (pie charts)
    • Line Graphs
    • Bar Graphs
    • Tables
  • Advanced Topics:
    • Probability
    • Combinations
    • Permutations
    • Symbolism
    • Overlapping Sets (also known as Venn Diagram questions)
    • Sequences

 

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