GRE and GMAT Math - So Easy a Child Could Do It from Udemy

What's inside

Learning objective

Master gre and gmat math for quantitative problem solving

Syllabus

Introduction

Math Intro

Teaching Lectures

This lecture will cover the derivation of the formulas for permutations and combinations. Permutations represent selecting objects from a set of objects and the order of selection IS important. Combinations represent selecting objects from a set of objects and the order of selection is NOT important.

n Permutation x = n! / (n-x)!

n Choose x = n! / ( (n-x)! * x! )

Translating Words into Equations
Age Problems

Integer Problems

Percentages
Translating Words Into Equations

A prime number is a number that is only divisible by 1 and itself. 2 is defined as the first prime number.
The factors of a number are the numbers that evenly divide into that number. For example, the factors of 10 are 1, 2, 5, and 10.
The prime factorization can be used to find the greatest common factor (GCF) or the least common multiple (LCM) of two or more numbers.
The GCF can be used to simplify fractions.
The LCM can be used to find a common denominator to add or subtract fractions.

The most important exponent rules are covered in this lecture. The most important rules are:
1. Add the exponents when you have two numbers with the same base multiplied together.
2. Subtract the exponents when you have two numbers with the same base divided by each other.
3. Multiply the exponents when you have an exponent raised to an exponent.
4. Negative exponents can be made positive by moving the number from the numerator to the denominator or vice versa.
5. Radicals can be changed into fractional exponents and vice versa.

Remember that when you add or subtract the fractions, the time component has to be in the denominator, on the bottom. For example, 5 miles per hour + 10 miles per hour = 15 miles per hour. Do NOT do: 1 hour per 5 miles + 1 hour per 10 miles = 3 hours per 15 miles.

This lecture covers the most important subtopics for dealing with triangles.
1. A triangle has three sides and the sum of its angles is 180 degrees.
2. The area of a triangle is 1/2 * base * height.
3. Pythagorean's Theorem for right triangles: c^2 = a^2 + b^2.
4. An exterior angle for a triangle is equal to the sum of the other two angles.
5. There are two special triangles in terms of angles:

45:45:90 triangle = x : x : x*sqrt(2)
30:60:90 triangle = x : x*sqrt(3) : 2x

6. Any side of a triangle must be less than the sum of the other two sides of the triangle and more than the absolute value of the difference between the other two sides of the triangle.

1. To multiply fractions, multiply the numerators and denominators straight across.
2. To divide fractions, change the fraction being divided into its inverse, and then multiply the fractions straight across.
3. To add and/or subtract fractions, find the LCM (least common multiple) of the denominators, change all fractions so that they share this LCM, then perform the addition and subtraction operations only on the numerators, not the denominators.

This lecture will cover divisibility rules.

2: The number is even; the number ends in 0, 2, 4, 6, or 8.

3: The sum of the digits of the number is divisible by 3.

4: The last two digits is divisible by 4.

5: The last digit is either 5 or 0.

6: The number is divisible by both 2 and 3.

9: The sum of the digits is divisible by 9.

10: The number ends in 0.

Ratios and Proportions Review Problem Video Solutions

This lecture covers GRE quantitative comparison strategies.

1. Always use your pencil and paper.
2. Add or subtract any number from both sides to simplify the problem. Usually this is useful if you have the same number, variable, or equivalent expression on both sides.
3. Multiply of divide any positive number, variable, or expression from both sides to simplify the problem. Sometimes this is optional, but other times this is essential for solving a problem. Remember that it must be a positive number, variable, or expression, as doing this with a negative number change the problem being asked.
4. Have confidence. The GRE test is also a psychological test of your math ability and confidence level. Not being confident in your math skills leads to double and triple checking answers, thereby taking away time from the other questions in the test.

Problem List

Translating Words Into Equations
Solving Algebraic Equations

Permutations

Probability
Two-Way Tables

Combining Algebraic Equations

Exponents

Work / Rate Problems

Unit Conversions

Algebraic Factoring

Solving Algebraic Equations

Averages

Ratios

Ratios
(Correction: $20 should be added at the end to give $420 as the correct answer)

Interest Rate Problems

Distance, Rate, Time Problems

Ratio Problems
Probability

Geometry
Ratios

Sum and Average Problems

Area
Perimeter
Optimization

Permutations

Mixture Problems

Matching Pairs

Combined Work / Rate Problems

Averages
Medians

Probability

Probability
Translating Words Into Equations

Probability

Topics:
Probability
Two-Way Tables

Geometry
Angles
Polygons

Geometry
Inscribed Polygons
Areas
Perimeters

Percentages
Translating Words Into Equations
Solving Algebraic Equations

Triangles

Statistics
Normal Distribution
Means and Standard Deviations

Averages
Sums

Numerical Factors
Prime Numbers

Factorials
Divisibility
Numerical Factors

Ratios
Unit Conversions

Inequalities

Translating Words Into Equations
Proportionality
Solving Algebraic Equations

Translating Words Into Equations
Solving Algebraic Equations

Coin Problems
Translating Words Into Equations
Solving a System of Linear Equations

Topics:
Solving Algebraic Equations with Radicals

Solving algebraic equations with absolute value signs

Prime Numbers
Divisibility Rules

Translating Words Into Equations
Combined Work / Rate Problems
Ratios and Proportions

Factorials
Multiplication Factors

Mixture Problems
Translating Words Into Equations
Solving Algebraic Equations

Translating words into equations
Right triangles
Pythagorean triples
Perimeters
Solving a system of equations

Geometry
Combinations

Multiplication rules
Divisibility rules

Combinations

Divisibility rules

Sequences

Time Problems

Circles
Special Triangles
Areas
Angles

Equations of Lines
Slopes
Perpendicular Lines

System of Equations
Factoring Quadratic Equations

Ratios and Proportions
Squares
Circles
Areas
Perimeters

Sequences and Series

Permutations and Combinations
Digits

Ratios and Proportions

Topics:

Exponents

Topics: Inequalities

Systems of Equations

Topics: Translating Words Into Equations

Fraction Arithmetic

Solving an Equation for a Variable

Topics: Translating Words Into Equations

Fraction Arithmetic

Solving an Equation for a Variable

Traffic lights

Read about what's good

what should give you pause

and possible dealbreakers

Covers quantitative comparison strategies, which can help test-takers feel more confident and save time on the GRE and GMAT exams

Includes practice problems with fully annotated solutions, which can help learners understand the reasoning behind each step

Mastering these questions will make many of the harder math questions on the SAT seem simple, which can boost confidence

Explores a wide range of math topics, from basic arithmetic to more advanced concepts like permutations and combinations

Focuses on translating words into equations, a skill that is essential for solving word problems on standardized tests

Devotes significant attention to probability, which is a frequently tested topic on the GRE and GMAT quantitative sections

Reviews summary

Gre/gmat math prep from syllabus

This course, titled "GRE and GMAT Math - So Easy a Child Could Do It", presents itself as a comprehensive guide for the quantitative sections of the GRE and GMAT exams, also suitable for SAT prep. It covers a wide range of fundamental math topics through lectures and aims to build quantitative problem-solving skills. A key feature highlighted by the instructor is the use of brand-new problems modeled after the actual tests, explicitly differentiating them from common test prep books. The course description mentions fully annotated solutions for these problems and offers additional help from the instructor. Due to the absence of student review data, this analysis is based solely on the course materials provided. We cannot report on student experiences, perceived strengths or weaknesses, or overall sentiment.

Addresses a wide range of math fundamentals.

"Note: Analysis is based on course materials only as no student reviews were provided."

"Syllabus lists topics including permutations, geometry, statistics, inequalities, and more."

Offers detailed solutions for practice problems.

"Note: Analysis is based on course materials only as no student reviews were provided."

"Description mentions "fully annotated solutions" for the problems."

Claims unique problems, not from standard books.

"Note: Analysis is based on course materials only as no student reviews were provided."

"Instructor claims problems are "brand new problems modeled after" the GRE/GMAT."

Instructor offers additional help upon request.

"Note: Analysis is based on course materials only as no student reviews were provided."

"Instructor invites learners to "contact me if you need additional help"."

Activities

Be better prepared before your course. Deepen your understanding during and after it. Supplement your coursework and achieve mastery of the topics covered in GRE and GMAT Math - So Easy a Child Could Do It with these activities:

Review Basic Algebra Concepts

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Strengthen foundational algebra skills to better understand the more complex concepts covered in the GRE/GMAT math course.

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Review key algebra concepts
Practice solving basic equations
Identify areas of weakness

Create a Personalized Study Plan

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Develop a structured study plan tailored to individual strengths and weaknesses to maximize preparation efficiency.

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Assess current skill level
Set realistic goals
Allocate time for each topic
Track progress and adjust plan

Review The Official Guide to the GRE General Test

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Familiarize yourself with the official GRE guide to understand the test format and practice with real questions.

View Official GRE Quantitative Reasoning Practice... on Amazon

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Read the introductory material
Take a practice test
Review answers and explanations
Analyze performance and identify areas for improvement

Four other activities

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Show all seven activities

Practice Translating Word Problems

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Improve ability to translate word problems into mathematical equations, a crucial skill for GRE/GMAT success.

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Find word problems online
Translate problems into equations
Solve the equations
Check your answers

Create a Cheat Sheet of Formulas

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Compile a concise cheat sheet of essential formulas to aid in quick recall during practice and the actual exam.

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Identify key formulas
Organize formulas by topic
Create a visually appealing sheet
Review and refine the sheet

Participate in a Study Group

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Collaborate with peers to discuss challenging problems and reinforce understanding through teaching and learning from others.

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Find a study group
Prepare for each session
Actively participate in discussions
Share insights and ask questions

Review Manhattan Prep's 5 lb. Book of GRE Practice Problems

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Supplement course material with extensive practice problems from a well-regarded GRE prep book.

View 5 lb. Book of GRE Practice Problems: 1,400+... on Amazon

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Select a topic to practice
Work through practice problems
Review solutions and explanations
Track progress and identify weaknesses

Career center

Learners who complete GRE and GMAT Math - So Easy a Child Could Do It will develop knowledge and skills that may be useful to these careers:

Statistician

A statistician analyzes data and draws conclusions. This often involves using mathematical and statistical techniques to identify trends and relationships. This course, with its focus on quantitative problem solving, may help build a foundation for the mathematical skills needed to succeed as a statistician. In particular, the sections on averages, normal distribution, means, standard deviations, ratios, and proportions may be especially relevant. Those who wish to become a statistician should consider that a master's degree is often required.

See salaries and explore the career path for Statistician

Financial Analyst

A financial analyst evaluates financial data to provide investment recommendations. This role requires strong quantitative skills. Taking this course may help build a foundation for the math skills needed. The sections on percentages, ratios, proportions, and interest rate problems are particularly useful for aspiring financial analysts. This role frequently involves working with spreadsheets and financial models.

See salaries and explore the career path for Financial Analyst

Actuary

Actuaries assess and manage financial risk, often working for insurance companies. They use statistical models to predict future events. This course, with its emphasis on mastering quantitative problem solving, may help build a foundation for the mathematical and analytical skills required to thrive as an actuary. The sections on probability, statistics, and financial mathematics may be helpful. Actuaries typically need to pass a series of rigorous exams, and a strong foundation in mathematics is essential.

See salaries and explore the career path for Actuary

Data Scientist

Data scientists analyze large datasets to extract meaningful insights and solve complex problems. The work involves statistical modeling, data visualization, and communication of findings. This course may help build a foundation for the quantitative skills necessary for success as a data scientist. The sections on statistics, probability, and translating words into equations are particularly relevant. Data scientists often have advanced degrees in statistics, mathematics, or a related field.

See salaries and explore the career path for Data Scientist

Software Engineer

Software engineers design, develop, and test software applications. While this role is primarily focused on computer science principles, it can also benefit from strong problem solving skills. This course may help build a foundation for those skills. The sections on algorithms, logic, and problem solving approaches might be useful for aspiring software engineers. The quantitative comparison strategies topic may also be helpful.

See salaries and explore the career path for Software Engineer

Market Research Analyst

A market research analyst studies market conditions to examine potential sales of a product or service. The role involves collecting and analyzing data, interpreting results, and preparing reports. This course, with its focus on quantitative problem solving, may help build a foundation for the analytical skills needed for this role. Sections on percentages, ratios, and interpreting data may be relevant for a market research analyst.

See salaries and explore the career path for Market Research Analyst

Operations Research Analyst

Operations research analysts use mathematical modeling and analysis to improve organizational efficiency and decision making. This course may help build a foundation for the quantitative techniques employed by an operations research analyst. Topics such as optimization, probability, and statistics may be relevant. A master's degree is often needed to be an operations research analyst.

See salaries and explore the career path for Operations Research Analyst

Management Consultant

A management consultant advises organizations on how to improve their performance and efficiency. This can involve analyzing business problems, developing solutions, and implementing changes. This course, with its focus on quantitative problem solving, may help build a foundation for the analytical skills that are needed. Sections on translating words into equations and problem solving might be quite helpful.

See salaries and explore the career path for Management Consultant

Economist

An economist studies the production and distribution of resources, goods, and services by collecting and analyzing data, researching trends, and evaluating economic issues. Taking this course may help build a foundation for the quantitative and analytical skills that an economist needs. The sections on percentages, ratios, and proportions may be useful. Economists typically need a master's degree or doctorate.

See salaries and explore the career path for Economist

Business Intelligence Analyst

A business intelligence analyst analyzes data trends to help companies make better business decisions. They identify, analyze, and interpret trends or patterns in complex datasets. This course may help build a foundation for the necessary quantitative and analytical skills to excel in this field. The sections on statistics, ratios, and proportions may be the most applicable to a business intelligence analyst.

See salaries and explore the career path for Business Intelligence Analyst

Underwriter

Underwriters evaluate and analyze the risk involved in insuring people and assets. This role requires a solid foundation in mathematics and statistics to assess risk accurately. This course may help build a foundation for the quantitative skills that they require daily. The sections on probability, percentages, and statistics are valuable for learning to analyze and assess risk effectively.

See salaries and explore the career path for Underwriter

Budget Analyst

Budget analysts are responsible for helping organizations manage their finances by developing and monitoring budgets. This role requires the ability to analyze financial data and make recommendations. This course may help build a foundation for the quantitative skills needed to succeed. The sections on percentages, ratios, and unit conversions might be helpful as a budget analyst.

See salaries and explore the career path for Budget Analyst

Technical Writer

A technical writer creates documentation that helps people understand and use complex systems. The role usually requires the ability to parse and explain technical topics. This course may help build a foundation for understanding math and quantitative topics. The sections on translating word problems into equations and quantitative comparisons may be helpful to review.

See salaries and explore the career path for Technical Writer

Teacher

A teacher educates students in a variety of subjects. This role involves instructing students on various concepts and testing their knowledge. This course may be useful for teachers who wish to improve their understanding of mathematical concepts. The course material may be useful for teaching mathematics to high school students and preparing them for college.

See salaries and explore the career path for Teacher

Accountant

Accountants prepare and examine financial records. They ensure accuracy of financial information. This course may be useful for refreshing one's understanding of basic mathematics and quantitative principles. The sections on percentages, ratios, and basic algebra may be relevant to success as an accountant.

See salaries and explore the career path for Accountant

Reading list

We've selected two books that we think will supplement your learning. Use these to develop background knowledge, enrich your coursework, and gain a deeper understanding of the topics covered in GRE and GMAT Math - So Easy a Child Could Do It.

Official GRE Quantitative Reasoning Practice...

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Is published by ETS, the makers of the GRE, and contains real GRE questions. It's essential for understanding the test format and question types. The book provides valuable insights into the test-makers' perspective. It useful reference tool for understanding the test.

Official GRE Quantitative Reasoning Practice...

Kindle Edition

5 lb. Book of GRE Practice Problems: 1,400+...

Save

Provides a vast collection of practice problems covering all GRE math topics. It's an excellent resource for reinforcing concepts learned in the course and building problem-solving speed. The sheer volume of questions allows for targeted practice in areas where students need the most improvement. This book is commonly used by students preparing for the GRE.

5 lb. Book of GRE Practice Problems: 1,400+...

Paperback

GRE and GMAT Math - So Easy a Child Could Do It

What's inside

Learning objective

Syllabus

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Reviews summary

Gre/gmat math prep from syllabus

Activities

Career center

Reading list

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