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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