GRE Quantitative Reasoning Practice Tests

Practice Tests

Topics

• GRE Quantitative Reasoning

  • Algebra

    • Exponents

      • Exponents and the Distributive Property+1 topic

        • How to use FOIL

      • Other Exponents+1 topic

        • How to use scientific notation

      • Pattern Behaviors in Exponents+2 topics

        • How to find compound interest

        • How to find patterns in exponents

      • Exponential Ratios+1 topic

        • How to find a ratio of exponents

      • Exponents and Rational Numbers+2 topics

        • How to find an exponent from a rational number

        • How to find a rational number from an exponent

      • Exponential Operations+4 topics

        • How to divide exponents

        • How to add exponents

        • How to subtract exponents

        • How to multiply exponents

    • Equations / Inequalities

      • Linear / Rational / Variable Equations+3 topics

        • How to find out when an equation has no solution

        • How to find the solution to a rational equation with LCD

        • How to find the solution to an equation

      • Quadratic Equation+2 topics

        • How to find the solution to a quadratic equation

        • How to factor the quadratic equation

      • Factoring Equations+1 topic

        • How to factor an equation

      • Inequalities+4 topics

        • How to find the solution to an inequality with division

        • How to find the solution to an inequality with subtraction

        • How to find the solution to an inequality with multiplication

        • How to find the solution to an inequality with addition

    • Algebraic Fractions

      • How to find excluded values

      • How to find inverse variation

      • How to evaluate a fraction

      • How to simplify a fraction

      • How to solve for a variable as part of a fraction

    • Expressions

      • Rational Expressions+6 topics

        • How to divide rational expressions

        • How to add rational expressions with a common denominator

        • How to subtract rational expressions with different denominators

        • How to evaluate rational expressions

        • How to add rational expressions with different denominators

        • How to multiply rational expressions

      • Evaluating Expressions+1 topic

        • How to evaluate algebraic expressions

      • Simplifying Expressions+1 topic

        • How to simplify an expression

    • Algebraic Functions

      • How to find f(x)

  • Data Analysis

    • Venn Diagrams

      • Intersection+1 topic

        • How to find the intersection of a Venn Diagram

      • Union+1 topic

        • How to find the union of a Venn Diagram

    • Probability

      • Outcomes+1 topic

        • How to find the probability of an outcome

    • Statistics

      • Median+1 topic

        • How to find median

      • Arithmetic Mean+1 topic

        • How to find arithmetic mean

      • Mode+1 topic

        • How to find mode

      • Range+1 topic

        • How to find range

  • Arithmetic

    • Basic Squaring / Square Roots

      • Other Squaring / Square Roots+1 topic

        • How to find the square of an integer

      • Simplifying Square Roots+2 topics

        • How to find the common factors of squares

        • How to simplify square roots

      • Factoring Common Factors of Squares and Square Roots+1 topic

        • How to find the common factor of square roots

      • Square Roots and Operations+5 topics

        • How to add square roots

        • How to divide square roots

        • How to multiply square roots

        • How to subtract square roots

        • How to find a ratio of square roots

    • Integers

      • Factors / Multiples+8 topics

        • Least Common Multiple+1 topic

          • How to find the least common multiple

        • Greatest Common Factor+1 topic

          • How to find the greatest common factor

        • Prime Numbers+1 topic

          • How to find out if a number is prime

        • Other Factors / Multiples+1 topic

          • How to factor a number

      • Sequences+10 topics

        • Arithmetic Sequences+5 topics

          • Other Arithmetic Sequences+1 topic

            • How to find the answer to an arithmetic sequence

          • nth Term of an Arithmetic Sequence+2 topics

            • How to find the nth term of an arithmetic sequence

            • How to find the next term in an arithmetic sequence

        • Common Difference in Sequences+1 topic

          • How to find the common difference in sequences

        • Consecutive Integers+1 topic

          • How to find consecutive integers

      • Number Line+4 topics

        • Other Number Line+1 topic

          • How to find value with a number line

        • Graphing an Inequality with a Number Line+1 topic

          • How to graph an inequality with a number line

      • Negative Numbers+4 topics

        • How to subtract negative numbers

        • How to add negative numbers

        • How to divide negative numbers

        • How to multiply negative numbers

      • Even / Odd Numbers+8 topics

        • How to add even numbers

        • How to subtract even numbers

        • How to add odd numbers

        • How to subtract odd numbers

        • How to divide odd numbers

        • How to multiply odd numbers

        • How to multiply even numbers

        • How to divide even numbers

      • Sets+1 topic

        • How to find the missing number in a set

      • Operations+5 topics

        • How to multiply integers

        • How to add integers

        • How to divide integers

        • How to subtract integers

        • How to find order of operations

      • Counting+1 topic

        • How to find the number of integers between two other integers

      • Absolute Value+1 topic

        • How to find absolute value

    • Percentage

      • Fractions and Percentage+3 topics

        • How to find fractional percentages

        • How to find percentage from a fraction

        • How to find a fraction from a percentage

      • Decimals and Percentage+2 topics

        • How to find decimal equivalent to a percentage

        • How to find percentage equivalent to a decimal

      • Whole and Part+2 topics

        • How to find the part from the whole

        • How to find the whole from the part

      • Sales Tax+1 topic

        • How to find the amount of sales tax

      • Interest+1 topic

        • How to find simple interest

      • Other Percentage+1 topic

        • How to find percentage

      • Profit Margin+1 topic

        • How to find amount of profit

      • Percent of Change+2 topics

        • How to find the percent of increase

        • How to find the percent of decrease

      • Sale Prices+1 topic

        • How to find the sale price

    • Permutation / Combination

      • How to find permutation notation

      • How to find the greatest or least number of combinations

    • Decimals

      • Other Decimals+1 topic

        • How to convert decimals to scientific notation

      • Decimal Operations+4 topics

        • How to add decimals

        • How to subtract decimals

        • How to multiply decimals

        • How to divide decimals

      • Basic Squaring / Square Roots+2 topics

        • How to square a decimal

        • How to find the square root of a decimal

      • Ordering+1 topic

        • How to order decimals from least to greatest or from greatest to least

      • Decimals with Fractions+3 topics

        • How to find decimal fractions

        • How to find the fractional equivalent of a decimal

        • How to find the decimal equivalent of a fraction

    • Fractions

      • Compound Fractions+1 topic

        • How to find a solution to a compound fraction

      • Decimals with Fractions+3 topics

        • How to find the decimal equivalent of a fraction

        • How to find decimal fractions

        • How to find the fractional equivalent of a decimal

      • Operations+4 topics

        • How to add fractions

        • How to subtract fractions

        • How to multiply fractions

        • How to divide fractions

      • Reciprocals+1 topic

        • How to find the reciprocal of a fraction

      • Lowest Common Denominator+1 topic

        • How to find the lowest / least common denominator

      • Simplifying Fractions+1 topic

        • How to simplify a fraction

      • Mixed / Improper Fractions+2 topics

        • How to find out a mixed fraction from an improper fraction

        • How to find out an improper fraction from a mixed fraction

      • Infinite Fractions+1 topic

        • How to find the amount of rational numbers between two numbers

      • Whole and Part+2 topics

        • How to find the whole from the part

        • How to find the part from the whole

      • Proportion / Ratio / Rate+6 topics

        • How to find the volume of a solution

        • How to find proportion

        • How to find a ratio

        • How to find rate

        • How to find the ratio of a fraction

        • How to express a fraction as a ratio

      • Fractions and Percentage+3 topics

        • How to find percentage from a fraction

        • How to find fractional percentages

        • How to find a fraction from a percentage

      • Ordering+1 topic

        • How to order fractions from least to greatest or from greatest to least

      • Complex Fractions+5 topics

        • How to add complex fractions

        • How to divide complex fractions

        • How to multiply complex fractions

        • How to find a complex fraction

        • How to subtract complex fractions

  • Geometry

    • Plane Geometry

      • Circles+18 topics

        • Chords+1 topic

          • How to find the length of a chord

        • Radius+3 topics

          • How to find circumference

          • How to find the area of a circle

          • How to find the length of a radius

        • Diameter+2 topics

          • How to find the length of the diameter

          • How to find the ratio of diameter and circumference

        • Sectors+5 topics

          • How to find the angle of a sector

          • How to find the length of an arc

          • How to find the percentage of a sector from an angle

          • How to find the angle for a percentage of a circle

          • How to find the area of a sector

        • Clock Math+2 topics

          • How to find the angle of clock hands

          • How to find the distance between clock hands

      • Hexagons+1 topic

        • How to find an angle in a hexagon

      • Pentagons+2 topics

        • How to find the area of a pentagon

        • How to find an angle in a pentagon

      • Triangles+21 topics

        • Isosceles Triangles+3 topics

          • Acute / Obtuse Isosceles Triangles+2 topics

            • How to find the perimeter of an acute / obtuse isosceles triangle

            • How to find an angle in an acute / obtuse isosceles triangle

        • Acute / Obtuse Triangles+3 topics

          • How to find an angle in an acute / obtuse triangle

          • How to find the area of an acute / obtuse triangle

          • How to find the length of the side of an acute / obtuse triangle

        • Equilateral Triangles+4 topics

          • How to find the perimeter of an equilateral triangle

          • How to find the length of the side of an equilateral triangle

          • How to find the area of an equilateral triangle

          • How to find the height of an equilateral triangle

        • Right Triangles+7 topics

          • How to find an angle in a right triangle

          • How to find the area of a right triangle

          • How to find if right triangles are similar

          • How to find the length of the side of a right triangle

          • How to find the height of a right triangle

          • How to find the length of the hypotenuse of a right triangle : Pythagorean Theorem

          • How to find the perimeter of a right triangle

      • Quadrilaterals+16 topics

        • Parallelograms+4 topics

          • How to find the area of a parallelogram

          • How to find an angle in a parallelogram

          • How to find the length of the side of a parallelogram

          • How to find the perimeter of a parallelogram

        • Rectangles+5 topics

          • How to find the length of the side of a rectangle

          • How to find the length of the diagonal of a rectangle

          • How to find the area of a rectangle

          • How to find the perimeter of a rectangle

          • How to find if rectangles are similar

        • Squares+4 topics

          • How to find the perimeter of a square

          • How to find the area of a square

          • How to find the length of the diagonal of a square

          • How to find the length of the side of a square

    • Coordinate Geometry

      • Lines+17 topics

        • Parallel Lines+3 topics

          • How to find the equation of parallel lines

          • How to find the slope of parallel lines

          • How to find out if lines are parallel

        • Other Lines+3 topics

          • How to find the slope of a line

          • How to find out if a point is on a line with an equation

          • How to find the equation of a line

        • Midpoint Formula+2 topics

          • How to find the endpoints of a line segment

          • How to find the midpoint of a line segment

        • Perpendicular Lines+3 topics

          • How to find out if lines are perpendicular

          • How to find the slope of a perpendicular line

          • How to find the equation of a perpendicular line

        • Distance Formula+1 topic

          • How to find the length of a line with distance formula

      • Graphing+2 topics

        • How to graph a function

        • How to graph a line

      • x and y Intercept+2 topics

        • How to find x or y intercept

        • How to find the equation of a curve

    • Solid Geometry

      • Cylinders+2 topics

        • How to find the surface area of a cylinder

        • How to find the volume of a cylinder

      • Prisms+3 topics

        • How to find the surface area of a prism

        • How to find the volume of a prism

        • How to find the length of an edge of a prism

      • Cubes+4 topics

        • How to find the length of an edge of a cube

        • How to find the diagonal of a cube

        • How to find the volume of a cube

        • How to find the surface area of a cube

      • Spheres+4 topics

        • How to find the diameter of a sphere

        • How to find the surface area of a sphere

        • How to find the volume of a sphere

        • How to find the radius of a sphere

• GRE Subject Test: Math

  • Other Topics

    • Probability & Statistics

      • Probability +1 topic

        • Sample Spaces

      • Statistics+4 topics

        • Mean

        • Variance

        • Standard Deviation

        • Range & IQR

      • Combinational Analysis+3 topics

        • Factorials

        • Combinations

        • Permutations

      • Discrete Distributions+2 topics

        • Uniform Distribution

        • Binomial Distribution

      • Continuous Distributions+4 topics

        • Z-Distribution

        • t-Distribution

        • Chi-Squared Distribution

        • Confidence Intervals & Hypothesis Testing

    • Real Analysis

      • Set Theory+2 topics

        • Subsets

        • Finite, Infinite, Countable, Not Countable Classifications

      • Relations+2 topics

        • Union & Intersect

        • Complements

      • Logic+1 topic

        • Logical Equivalence

    • Numerical Approximation

      • Order of Convergence+1 topic

        • Comparing Rates of Convergence

      • Numerical Integration+2 topics

        • Simpson's Rule

        • Trapezoidal Rule

  • Algebra

    • Classifying Algebraic Functions

      • Polynomials+2 topics

        • Roots of Polynomials

        • Binomial Expansion

      • Inequalities+2 topics

        • Solving Inequalities

        • Absolute Value Inequalities

      • Imaginary Numbers & Complex Functions+4 topics

        • Imaginary Roots of Negative Numbers

        • Operations on Complex Numbers

        • Complex Conjugates

        • Complex Plane

      • Logarithms+3 topics

        • Evaluating Logarithms

        • Logarithmic Properties

        • Change of Base

      • Exponential Functions+2 topics

        • Solving Exponential Equations

        • Exponential Growth Applications

    • Linear Algebra

      • Matrices+3 topics

        • Matrix Operations

        • Inverses

        • Determinants

      • Vectors & Spaces+1 topic

        • Vectors

      • Systems of Equations+1 topic

        • Solving Systems of Equations

      • Eigenspace Classifications+1 topic

        • Eigenvalues

    • Abstract Algebra

      • Groups+1 topic

        • Lagrange's Theorem

  • Calculus

    • Functions and Graphs

      • Functions +3 topics

        • Domain & Range

        • Graphing Functions

        • Classifying Functions

      • Coordinate Geometry +3 topics

        • Distance & Midpoint Formulas

        • Slope & Intercept

        • Finding Equations of Lines

      • Conic Sections+2 topics

        • Circles

        • Hyperbolas

      • Trigonometric Functions+2 topics

        • Sine

        • Inverse Trigonometric Functions

      • Limits+1 topic

        • L'Hospital's Rule

    • Derivatives & Integrals

      • Finding Derivatives+4 topics

        • Product Rule

        • Quotient Rule

        • Chain Rule

        • Defining Derivatives with Limits

      • Integrals+3 topics

        • Substitution

        • Integration by Parts

        • Trigonometric Integrals

      • Partial Differentiation+2 topics

        • Implicit Differentiation

        • Functions of More Than Two Variables

      • Applications of Derivatives+2 topics

        • Maximum & Minimum

        • Taylor's Theorem

    • Sequences & Series

      • Sequences +2 topics

        • Limits of Sequences

        • Finding Terms of a Sequence

      • Tests for Convergence+1 topic

        • Ratio Test