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Quantitative Topics & Concepts Tested on GRE

On the GRE word problems, Statistics, Probability, and inequalities abound. In this post, I will layout the Quantitative Topics & Concepts Tested on GRE.

If anyone of you has started studying from the official guide of the new revised GRE, you will notice a certain trend – word problems abound. There are a lot of inequalities, as well as a few probability and combinatorics questions. There is plenty of Statistics and but not a lot of geometry. Quantitative comparison questions are frequent as well, along with many questions on the time-consuming data interpretation.

In this post, I have used the official guide to develop an exhaustive list of topics and concepts tested on the GRE quantitative section. You will not see anything outside of these topics; neither would you see all of them. 

You must note here that the Math skills required to do well on the GRE quantitative reasoning section are of a very basic level. No advanced mathematics topics such as differentiation or integration are tested, and all topics are within reach of a tenth-grade student. In general, the quantitative reasoning section on the GRE assesses:

  1. Basic Mathematical skills.
  2. Understanding of elementary mathematical concepts.
  3. Ability to reason quantitatively & to model and solve problems with quantitative methods.

The GRE tests the following areas:

Arithmetic

  • PEMDAS/BODMAS
  • Arithmetic Operations
  • Number Lines
  • Number Approximation & Estimation
  • Prime Numbers & Factorization
  • Factors and Multiples
  • Remainders
  • Odd & Even Integers
  • Evenly Spaced Sets
  • Exponents & roots
  • Percentage & Ratios
  • Direct & Inverse Proportionality
  • Absolute Value & Modulus
  • Fractions, Decimals & Digits
  • Number sequences

Algebra

  • Linear & Quadratic Equations
  • Simultaneous Equations
  • Functions & Special Symbol Formulas
  • Inequalities
  • Inequalities with Absolute Values

Geometry

  • Parallel & perpendicular lines
  • Circles
  • Triangles, quadrilaterals and other polygons
  • Congruent & similar figures
  • Area, perimeter, volume
  • Pythagorean theorem
  • Angle measurement in degrees
  • 3D geometry
  • Coordinate Geometry
  • Graphs of functions & Parabolas

Word problems

  • Speed distance problems
  • Work rate problems
  • Age problems
  • Mixture questions
  • Venn diagrams
  • Simple & compound interests

Data Interpretation

  • Line graphs
  • Bar graphs
  • Histograms
  • Circle graphs
  • Box plots
  • Scatter plots
  • Frequency distributions

Statistics

  • Mean
  • Median
  • Mode
  • Range
  • Percentiles
  • Standard deviation
  • Interquartile range
  • Quartiles and percentiles
  • Normal Distribution

Probability

  • Probabilities of compound events and independent events
  • Random variables
  • Probability distributions
  • Counting methods, such as combinations and permutations

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