The Beginners Math for GRE & GMAT: Maths, #1

ABOUT THE BOOK

This book was designed for the students who are aspiring for GRE/GMAT Examination. For cracking the exams like GRE/GMAT, basics are very important. So before stepping into your real tests, you should have complete knowledge regarding all the topics that you are being tested for the examination.

This book is for the students who want to start their preparation for GRE/GMAT and the students who completed their preparation and planning to take the test in the near future.

Intended Audience

This book is ideal for GRE/GMAT students. All the topics contained in this book are available as the Animated Videos in www.testprep24.com.  So the book along with the videos will make your preparation easier.

How to read this book

As we have animated videos for this book at www.testprep24.com , you will get good result if you read this book simultaneously by watching videos.

Structure of each topic

All the topics in this book are discussed from the root. Initially we teach all the basics associated with the particular topic then followed by relevant examples along with explanatory answers. So it will be easy for the students to solve the questions what they come across in the competitive exams.

Index

1. Numbers       Page 1- Page 14

Numbers Classification

a)  Real Numbers     

b)  Imaginary Numbers    

c)  Rational Numbers    

d)  Irrational Numbers

e)  Integers    

f)  Decimals

g)  Fractions

h)  Recurring Decimals

i)  Non-Recurring Decimals

j)  Proper Fractions

k)  Improper Fractions

l)  Mixed Fractions

Integers Classification:

a)  Even Numbers

b)  Odd Numbers

c)  Neutral Numbers

d)  Whole Numbers

e)  Prime Numbers

f)  Composite Numbers

g)  Even Prime

h)  Co-Prime

i)  Twin Prime

Perfect Number and Fibonacci Sequences

a)  Perfect Number

b)  Fibonacci Sequences

BODMAS

Decimals and Fractions

a)  Place value of Decimals

b)  Converting Decimals to Fractions

c)  Addition and Subtraction of  Fractions

d)  Multiplication and Division of  Fractions

e)  Conversion of  Proper fractions to Mixed Fractions

f)  Addition and Subtractions of Mixed Fractions

6. Factors and Multiples

7. L.C.M and H.C.F

a)  Method 1 to find L.C.M and H.C.F

b)  Method 2 to find L.C.M and H.C.F

c)  Method 3 to find L.C.M and H.C.F

d)  Points to be noted in L.C.M and H.C.F

Factorials

Divisibility Rules

2. Arithmetic  Page 15- Page 55

Percentages          16

a)  What is Percentage?

b)  Why do we need Percentage?

c)  Finding Percentage

d)  Percentage Changes

e)  Percentages to Fraction Conversions

f)  Example problems

Profit and Loss    24

g)  Basic Terms

h)  Relationship between basic terms

i)  Examples

Simple Interest and Compound Interest   28

a)  Simple Interest

b)  Compound interest

c)  Formulas

d)  Examples

Ratio and Proportion    30

a)  Difference b/w Ratios and Fractions

b)  Why Ratio?

c)  Divisions of values as per ratio

d)  Combining ratio

e)  Proportion

1)  Mean Proportion

2)  Third Proportion

3)  Fourth Proportion

f)  Direct and inverse Proportion

1)  Direct Proportion

2)  Inverse Proportion

Averages    33

a)  Linear Data

b)  Non-Linear Data

c)  Weighted Average

Mixture and Alligations      37

a)  Mixture

b)  Alligations

c)  Example Problems

Time and Work      44

a)  Model -1 (questions based on proportions)

b)  Model -2 

c)  Model -3

d)  Model -4 (Based on Capacities)

e)  Model -4 (Pipes and Cisterns)

Time, Speed and Distance51

a)  Speed

b)  Average Speed

c)  Relative Speed

d)  Example Problems

3. Geometry    Page 56- Page 82

Lines and Angles

a)  Line

b)  Ray

c)  Line Segment

d)  Parallel Lines

e)  Perpendicular Lines

f)  Supplementary Angles

g)  Complementary angles

h)  Vertical opposite Angles

i)  Parallel Line properties

j)  Perpendicular

k)  Bisector

l)  Perpendicular Bisector

Triangles

a)  Property 1

b)  Property 2

c)  Property 3

d)  Property 4

e)  Area of Triangles

f)  Pythagorean Theorem

g)  Similar Triangles

h)  Congruent Triangles

i)  Types of Triangles

1)  Scalen Triangle

2)  Right angle Triangle

3)  Acute angle Triangle

4)  Obtuse angle Triangle

5)  Isosceles Triangle

6)  Equivalent Triangle

7)  Isosceles Right-angle Triangle

j)  Centers:

1)  In center

2)  Circum center

3)  Ex-center

4)  Centroid

5)  Ortho-center

k)  Mid-point Theorem:

l)  Special Triangles:

1)  30-60-90- triangle

2)  45-45-90-triangle

Quadrilaterals

a)  Parallelogram

b)  Square

c)  Rectangle

d)  Rhombus

e)  Trapezium

f)  Quadrilateral

Polygons

a)  Sum of Interior angles

b)  Sum of Exterior angles

c)  Numbers