# The full examPAL syllabus

### Everything you need to crush the GRE

examPAL is built to get you to your highest possible score in just 100-120 hours! You’ll improve by at least 7 points – success guaranteed.

We cover all sections thoroughly: Quantitative, Verbal, Data Interpretation Sets, and Analytical Writing Assessment. But we also do something no one else does: our system studies the way you think, so that it finds the solutions which best fit your way of thinking. Instead of just solving thousands of questions with little to no improvement, you'll always know what to do next in order to improve.

### What's included in examPAL's Premium package?

In our PREMIUM package you get:

• The PALgorythm – a system that studies you, so that you improve dramatically faster with 1,500 questions that fit your needs than you would with 5,000 random questions.
• The PAL lessons – 24 interactive video lessons that give you an unfair advantage: learn how to know in advance what is going to be the fastest way to solve each question.
• The Introductions – 22 interactive videos which build your skills and logic.
• The Practices – 1500 questions in 22 practice sections in which the PALgorythm improves you in three gradual phases: Diagnostic, Improvement, and Optimization.
• Essay Reviews – our professional reviewers give you 3 essay reviews, score them and advise you on how to improve.
• Official Practice Test by the ETS © – since there’s no better way to ace the test than to solve real GRE questions.
• MBA consultancy - a one on one session with a professional consultant to help you set your MBA application in motion.

Also, our unique credit system allows you shift your credits to our Extra Services, if needed:

• One on One Tutoring Sessions - with one of our tutors.
• More Essay Reviews – just a score / score + summary / full review + inline note.

### The Complete Syllabus

• ALGEBRA
• Introduction to Algebra
• Math terms
• Algebra basics recap
• Arithmetics basics
• Subtraction basics
• Multiplication basics
• Division basics
• Integers
• Introduction to Integers
• Even and odd
• Digits
• Divisibility
• Zero
• Multiplication
• Division
• Divisible by 2
• Divisible by 3
• Divisible by 4
• Divisible by 5
• Divisible by 6
• Divisible by 8
• Divisible by 9
• Divisible by 11
• Factor
• Prime number
• Prime factors
• Prime factoring
• The factors (or divisors) of an integer
• Greatest Common Factor (or GCF)
• The multiples of an integer
• Least Common Multiple (or LCM)
• Consecutive integers
• Factorial
• Fractions and Percent
• Introduction to Fractions and Percent
• What is a fraction?
• Simple fractions
• Proper fractions
• Improper fractions
• Number line
• Mix numbers
• Changing mixed numbers into a fraction
• Subtracting Fractions
• Changing a mixed number into an improper fraction
• Multiplying Fractions
• Dividing Fractions
• Using Simple Fractions
• Scientific Notation
• Ratio
• Percents as simple fractions
• Percents as decimal fractions
• Word Problems
• Common Percentage/Decimal/Fraction Transformations
• Powers and Roots
• Introduction to Powers and Roots
• Special roots
• Special powers
• The rules of roots
• The rules of powers
• Common roots
• Common powers
• Roots
• Changing roots into powers
• Expressions and Equations
• Introduction to Expression and Equations
• An expression
• Order of Operations
• Simplifying Parentheses
• Rational expressions
• The second method for solving quadric equations
• Systems of equations
• A function
• Inequalities
• Multiplying
• Dividing by a negative value
• Positivity and Negative Numbers
• Introduction to Positivity and Negative Numbers
• Positive number
• Negative number
• Zero
• Number line
• Subtraction ( ̶ )
• Multiplication and Division
• Powers
• Root
• Opposite number
• WORD-PROBLEMS
• Interest
• Introduction to Interest
• Cost price
• Expenses
• Selling price
• Revenue
• Profit
• Loss
• Discount
• Principal
• Simple interest
• Compound interest
• Ratio and Proportions
• Introduction to Ratio and Proportions
• Ratio total
• Ratio
• Proportions
• Rate and Work
• Intoduction to Rate and Work problems
• "Distance "
• "Speed"
• "Time"
• A change of time units
• A change of distance or speed units
• Work
• Direct ratio
• Sets
• Introduction to Sets Problems
• Sets
• A sequence
• A linear or arithmetic sequence
• An exponential or geometric sequence
• Counting Methods & Probability
• Introduction to Counting Mehods & Probability Problems
• Probability
• Actually counting
• Calculating
• Factorial
• Multiple events
• Choosing objects from different groups
• Choosing objects from the same group
• ”AND” conditions
• ”OR” conditions
• Descriptive Statistics
• Introduction to Descriptive Statistics
• Average
• Arithmetic Mean
• Weighted Average
• Frequency Distribution
• Median
• Mode
• Range
• Standard Deviation
• Variance
• GEOMETRY
• Lines and Angles
• Introduction to Lines & Angles
• A plane
• A line
• A line segment
• A ray
• An angle
• Vertex
• A right angle
• An acute angle
• An obtuse angle
• A straight angle
• A whole circle
• A reflex angle
• Intersecting lines
• A perpendicular line
• A bisector
• Parallel lines
• Triangles
• Introduction to Triangles
• External angle
• An acute triangle
• A right triangle
• An obtuse triangle
• An isosceles triangle
• An equilateral triangle
• An angle bisector
• A median
• A height
• Angle bisector
• A perimeter
• Area
• Hypotenuse
• The Pythagorean theorem
• The Isosceles Right Triangle
• The Golden Triangle
• SSS = Side - Side - Side
• SAS = Side - Angle - Side
• ASA = Angle – Side – Angle
• ASS = Angle - Side - Side
• A diagonal
• A trapezoid
• Perimeter
• Isosceles trapezoid
• A kite
• Deltoid
• A parallelogram
• A rhombus
• A rectangle
• A square
• Circles
• Introduction to Circles
• Circumference
• A chord
• Diameter
• An arc
• A central angle
• An inscribed angle
• A tangent
• Pi
• The circumference of a circle
• The length of an arc
• The area of a circle
• A sector
• The area of a sector
• Polygons
• Introduction to Polygons
• Internal angle
• External angle
• The sum of the internal angles
• The sum of the external angles
• A regular polygon
• A polygon inscribed in a circle
• When a polygon circumscribes a circle
• Coordinate Geometry
• Introduction to Coordinate Geometry
• Coordinate plane
• Number line
• Slope
• Slope direction
• Parallel lines
• Perpendicular lines
• An equation
• Y-intercept
• A parabola
• Vertex
• X-intercept
• Solids
• Introduction to Solids
• Volume
• Surface area
• A rectangular solid
• Face
• Edge
• Vertex
• Cube
• A cylinder
• Data Interpretation Sets
• Introduction to Data Interpretation Set
• Understanding the graph
• Tell ourselves that we really enjoy it
• Change our perception – we are here on a mission
• Know a little something about everything
• Each sentence is connected in thought to the previous sentence
• The writer emphasizes important facts and ideas by using transitional signals
• Contrast
• Cause-and-effect
• Exclusion
• Surprise
• Structure
• Passages are objective
• Vocabulary and Memorization
• The basics
• Time management
• Studying enviroment
• Memorization session
• Analytical Writing
• What to criticize?
• Unconvincing
• Our own faulty reasoning
• 1st paragraph - How to open an essay
• 2nd paragraph - Write the best argument
• 3rd paragraph - Write the second-best argument
• 4th paragraph - A third argument (preferably a different angle)
• 5th paragraph - Conclusion
• Structural words
• Paragraph openings
• Within a paragraph
• The question
• Content
• Structure
• Style
• Sentence Equivalence
• Introduction to Sentence Equivalence
• Sentence Equivalence Questions
• Using Logic