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

Quantitative Problem Solving: So Easy a Child Could Do It
Instructor:
Corey Moore
1,003 students enrolled
English [Auto-generated]
Master GRE and GMAT math for quantitative problem solving

Not a child genius? Not a problem. My name is Corey and Iā€™m here to guide you through an interactive course on quantitative problem solving for mastering the math section of the GRE and GMAT exams. These problems are not duplicates of the long, tedious, subpar GRE and GMAT course books that you’ve already purchased (such as the Barron’s or Manhattan series which deviate from the actual GRE given by ETS and assume that you have infinite preparation time to work through their long lists of questions), so you will be getting brand new problems modeled after REAL GRE and GMAT questions that will challenge you in a unique way. This course is vitally important for anyone planning to apply to most graduate programs and the GRE and GMAT math questions come fully annotated solutions. This course is also ideal for high school students preparing for the SAT, as many of the harder math questions on the SAT will seem simple after mastering these questions. Feel free to preview sample solutions so that you have an idea of what to expect in the rest of the course. Thank you for your time and I look forward to helping you maximize your math proficiency.

Feel free submit questions through the course or directly to my email (hokiesalum[AT_symbol]]gmail[DOT]com ; include Udemy in the subject line). Also feel free to contact me if you need additional help with your math prep. I want to do my best to make sure that you succeed! šŸ™‚

Introduction

1
GRE and GMAT Math Intro
Math Intro

Teaching Lectures

1
Permutations and Combinations

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! )

2
Prime Factorization: GCF and LCM
Prime factorization is when you split a number into its prime factors.
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.
3
Exponent Rules

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.

4
Combined Rate and Work Problems
Combined rate / work problems are used to add or subtract the rates of different people when they are doing the same task.

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.
5
Triangles

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.
6
Fraction Arithmetic
This lecture covers fraction arithmetic.
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.
7
Divisibility Rules

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.

8
Ratios and Proportions Review Problems
9
Ratios and Proportions Review

Ratios and Proportions Review Problem Video Solutions

10
GRE Quantitative Comparison Strategies Lecture
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.

Math Problems

1
Problem List

Problem List

2
Problem 1
Topics:
Translating Words Into Equations
Solving Algebraic Equations
3
Problem 2
Topics:
Translating Words into Equations
Age Problems
4
Problem3
Topics:
Integer Problems
5
Problem 4
Topics:
Percentages
Translating Words Into Equations
6
Problem 5
Topics:
Permutations
7
Problem 6
Topics:
Probability
Two-Way Tables
8
Problem 7
Topics:
Combining Algebraic Equations
9
Problem 8
Topics:
Exponents
10
Problem 9
Topics:
Work / Rate Problems
11
Problem 10
Topics:
Unit Conversions
12
Problem 11
Topics:
Algebraic Factoring
13
Problem 12
Topics:
Solving Algebraic Equations
14
Problem 13
Topics:
Averages
15
Problem 14
Topics:
Ratios
16
Problem 15
Topics:
Ratios
(Correction: $20 should be added at the end to give $420 as the correct answer)
17
Problem 16
Topics:
Interest Rate Problems
18
Problem 17
Topics:
Distance, Rate, Time Problems
19
Problem 18
Topics:
Ratio Problems
Probability
20
Problem 19
Topics:
Geometry
Ratios
21
Problem 20
Topics:
Sum and Average Problems
22
Problem 21
Topics:
Area
Perimeter
Optimization
23
Problem 22
Topics:
Permutations
24
Problem 23
Topics:
Mixture Problems
25
Problem 24
Topics:
Distance, Rate, Time Problems
26
Problem 25
Topics:
Matching Pairs
27
Problem 26
Topics:
Combined Work / Rate Problems
28
Problem 27
Topics:
Combined Work / Rate Problems
29
Problem 28
Topics:
Averages
Medians
30
Problem 29
Topics:
Probability
31
Problem 30
Topics:
Probability
Translating Words Into Equations
32
Problem 31
Topics:
Probability
33
Problem 32

Topics:
Probability
Two-Way Tables

34
Problem 33
Topics:
Geometry
Angles
Polygons
35
Problem 34
Topics:
Geometry
Inscribed Polygons
Areas
Perimeters
36
Problem 35
Topics:
Percentages
Translating Words Into Equations
Solving Algebraic Equations
37
Problem 36
Topics:
Triangles
38
Problem 37
Topics:
Statistics
Normal Distribution
Means and Standard Deviations
39
Problem 38
Topics:
Averages
Sums
40
Problem 39
Topics:
Numerical Factors
Prime Numbers
41
Problem 40
Topics:
Factorials
Divisibility
Numerical Factors
42
Problem 41
Topics:
Ratios
Unit Conversions
43
Problem 42
Topics:
Inequalities
44
Problem 43
Topics:
Translating Words Into Equations
Proportionality
Solving Algebraic Equations
45
Problem 44
Topics:
Translating Words Into Equations
Solving Algebraic Equations
46
Problem 45
Topics:
Coin Problems
Translating Words Into Equations
Solving a System of Linear Equations
47
Problem 46

Topics:
Solving Algebraic Equations with Radicals

48
Problem 47
Topics:
Solving algebraic equations with absolute value signs
49
Problem 48
Topics:
Prime Numbers
Divisibility Rules
50
Problem 49
Topics:
Translating Words Into Equations
Combined Work / Rate Problems
Ratios and Proportions
51
Problem 50
Topics:
Factorials
Multiplication Factors
52
Problem 51
Topics:
Mixture Problems
Translating Words Into Equations
Solving Algebraic Equations
53
Problem 52
Topics:
Translating words into equations
Right triangles
Pythagorean triples
Perimeters
Solving a system of equations
54
Problem 53
Topics:
Geometry
Combinations
55
Problem 54
Topics:
Multiplication rules
Divisibility rules
56
Problem 55
Topics:
Combinations
57
Problem 56
Topics:
Divisibility rules
58
Problem 57
Topics:
Sequences
59
Problem 58
Topics:
Time Problems
60
Problem 59
Topics:
Circles
Special Triangles
Areas
Angles
61
Problem 60
Topics:
Equations of Lines
Slopes
Perpendicular Lines
62
Problem 61
Topics:
System of Equations
Factoring Quadratic Equations
63
Problem 62
Topics:
Ratios and Proportions
Squares
Circles
Areas
Perimeters
64
Problem 63
Topics:
Sequences and Series
65
Problem 64
Topics:
Averages
Sums
66
Problem 65
Topics:
Permutations and Combinations
Digits
67
Problem 66
Topics:
Ratios and Proportions
68
Problem 67

Topics:

Exponents

69
Problem 68

Topics: Inequalities

Systems of Equations

70
Problem 69

Topics: Translating Words Into Equations

Fraction Arithmetic

Solving an Equation for a Variable

71
Problem 70

Topics: Translating Words Into Equations

Fraction Arithmetic

Solving an Equation for a Variable

Conclusion

1
Math Conclusion
Math Conclusion
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