The full examPAL syllabus
Everything you need to crush the GMAT
examPAL is built to get you to your highest possible score in just 100-120 hours! You’ll improve by at least 70 points – success guaranteed.
We cover all sections thoroughly: Quantitative, Verbal, Integrated Reasoning, 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.
- Extra Verbal Practice – 12 verbal quizzes to make sure that you master the Verbal section.
- Real GMAC© CATs – since there’s no better way to ace the test than to solve 4 real GMAC CATs plus additional real GMAT 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.
- Teacher Assessment – a comprehensive review of your advancement with personal advice from 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
- Addition basics
- Subtraction basics
- Multipication basics
- Division basics
-
Integers
- Introduction to Integers
- Even and odd
- Digits
- Divisibility
- Zero
- Addition and Subtraction
- 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
- Mixes numbers
- Adding fractions
- Changing mixed numbers into a fraction
- Adding mixes numbers
- 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
- Quadric Equations
- 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
- Addition (+)
- Subtraction ( ̶ )
- Multiplication and Division
- Powers
- Root
- Additive Inverse
- Opposite number
-
Introduction to Algebra
-
WORD-PROBLEMS
-
Interest
- Introduction to Interest
- Buying and selling products
- 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
-
Interest
-
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
-
Quadrilaterals
- Introduction to Quadrilaterals
- A quadrilateral
- A diagonal
- A "simple" quadrilateral
- A trapezoid
- Perimeter
- Isosceles trapezoid
- A kite
- Deltoid
- A parallelogram
- A rhombus
- A rectangle
- A square
-
Circles
- Introduction to Circles
- Circumference
- A radius
- A chord
- Diameter
- An arc
- A central angle
- An inscribed angle
- An inscribed quadrilateral
- 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
- Quadrilateral
-
Coordinate Geometry
- Introduction to Coordinate Geometry
- Coordinate plane
- Number line
- Quadrants
- 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
-
Lines and Angles
-
Integrated Reasoning
- Quantitative data
- Critical reasoning
- Compare data
- Follow a development
-
Reading Comprehension
- Introduction to Reading Comprehension
- 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
- Addition
- Cause-and-effect
- Exclusion
- Surprise
- Structure
- Passages are objective
-
Critical Reasoning
- Introduction to Critical Reasoning
- Evidence
- One fact
- Two correlative facts
- Through survey or sampling
- Through an experiment
- A conclusion
- An assumption
- An inference
- Weakening
- Strengthening
-
Sentence Correction Basics
- Subjects and Verbs in General
- Subject and verb must match in number
- Nouns and pronouns must also match in number
- Choosing the correct form of the verb
- Modifiers
- Parallelism
- Idioms
-
Sentence Correction
- Know the rules
- Get some help
- The shortcuts
-
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
