Lessons

1. Types of numbers         natural whole real integer imaginary

Explains the different kinds of numbers in scope for the GMAT and GRE.

2. Properties of Integers         commutative distributive prime multiple composite divisor factor GCD LCM

Covers prime numbers, GCD, LCM, and rules of divisibility

3. Operations with Integers, Fractions & Decimals         fraction decimal numerator denominator normalize

Presents simple arithmetic operations, recurring fractions, etc.

4. Exponents, Roots & Logarithms         base exponent index root logarithm

Covers real-valued indices, related operations, and operator precedence with examples

5. Percentages, Ratios, Simple & Compound Interest         percentage ratio interest compounding work proportion

Works through percentage problems, work problems, and interest examples

6. Arithmetic & Geometric Progressions         progression arithmetic geometric

Explains arithmetic and geometric progressions with examples

7. Basic Statistics         statistics mean median mode average quartile percentile range

Descriptive statistics - mean, mode, median, etc.

8. Set Theory & Data Analysis         set subset intersection union difference cardinality sample venn

Set operations and Venn Diagrams are explained here with examples

9. Linear Equations & Inequalities         linear equations solving inequality

Efficient methods to solve linear equations and inequalities

10. Simultaneous Equations         simultaneous system unknowns independent

Methods to solve systems of simultaneous equations explained

11. Algebraic Expressions         algebraic expression simplify expand formula

Important algebraic formule for expansion and simplification of expressions


12. Quadratic Equations         quadratic degree discriminant root

Different methods and formule for efficiently solving quadratic equations


13. Equations with absolute values         absolute mod abs

How to solve equations and inequalities with the absolute values


14. Functions         function domain invertible composition

Important properties of functions with examples


15. Permutations & Combinations         permutation combination choose factorial

Counting problems with examples


16. Binomial Theorem         binomial coefficient Pascal

Binomial theorem for a positive integral index


17. Probability         probability conditional event

Basic probability questions with examples


18. Lines, Angles & Triangles         line angle triangle supplement complement transversal congruent

Simple plane geometry


19. Right triangles & the Pythagoras theorem         Pythagoras right-angled 30-60-90 45-45-90

Formulae that should be memorized


20. Quadrilaterals & other polygons         quadrilateral polygon regular

Earlier lessons on simple plane geometry extended to polygons


21. Plane coordinate geometry         Euclidean distance slope intercept parallel

Plane coordinate geometry you are expected to know for the GRE/GMAT


22. Circles         circle radius pi sector arc subtended circumference chord diameter

Properties of circles


23. Solids         solid sphere Euler cube cylinder cone height slant surface volume

Properties of solids

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