Master ACT Math Prep: Maths, #1

By Subbalakshmi Devaki

Are you gearing up for the ACT Math section? Do you envision yourself conquering complex equations, confidently tackling geometric problems, and mastering statistics? Your journey to ACT Math excellence begins right here.

"ACT Math Mastery" isn't just a study guide; it's your key to unlocking the full potential of your ACT Math performance. Whether you're starting your preparation from scratch or you're fine-tuning your skills for an upcoming test, this comprehensive guide is meticulously designed to cater to your needs.

Master the Fundamentals:

Starting with the core concepts, this guide ensures you have a strong foundation. From algebraic expressions that dance across the page to the intricacies of geometry, and from the art of trigonometry to the science of statistics, "ACT Math Mastery" covers every critical topic tested in the ACT exam. Each concept is carefully explained in clear and concise language, accompanied by practice questions that solidify your understanding.

Strategies Tailored for Success:

But "ACT Math Mastery" doesn't stop at the basics. What truly sets this guide apart is its arsenal of expert strategies and quick tips meticulously crafted to address the nuances of the ACT Math section. Imagine confidently approaching various question types armed with effective techniques. Visualize managing your time wisely and optimizing your performance. This guide is your ticket to mastering the art of eliminating answer choices, spotting shortcuts, and employing efficient problem-solving tactics.

Why "ACT Math Mastery" Stands Out: Comprehensive Approach: Covering every topic tested on the ACT Math section, this guide leaves no stone unturned. Whether you're struggling with linear equations or wrestling with complex trigonometric functions, "ACT Math Mastery" is your comprehensive roadmap to success.

Practice Makes Perfect: Reinforce your learning through practice questions that gradually escalate in complexity. You will find yourself equipped to handle even the most challenging questions by the time you're through.

Strategies for Every Scenario: This guide is your personal toolkit for mastering the unique challenges posed by the ACT Math section. Armed with effective strategies, you'll navigate through graph problems, algebraic puzzles, and geometric enigmas with confidence.

Expert Guidance: The insights shared in "ACT Math Mastery" are not just theories; they are battle-tested strategies curated by experts who have aced the ACT Math section themselves.

Confidence Booster: With a deep understanding of concepts and expert strategies at your disposal, you'll enter the exam hall with the confidence of a true math master.

"ACT Math Mastery: The Ultimate Study Guide for 2023" isn't just a book; it's your partner in the journey to ACT Math excellence. Whether you're starting from square one or aiming to fine-tune your skills, this guide equips you with the tools you need to make your math dreams a reality. Unlock your potential today!

• Language: English
• Publisher: Subbalakshmi Devaki
• Release date: Jun 5, 2023
• ISBN: 9798223648888

Book preview

Intended Audience

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

How does this book help the students?

This book helps students to

1. Learn the techniques required to stay out of the Crowd and to be No.1 in Competitive Exams.

2. Learn Time Management tricks while solving Problem Solving questions and Word problems.

3. See guaranteed Score improvements on a regular basis with our Concepts and Tricks.

4. Learn techniques that boost the student confidence and make them work like a human Calculator.

5. Reach the target score in ACT MATHS

Structure of the book

All the topics that are required for ACT test were discussed in the initial part of the book along with practice questions on each and every topic. At the end of the book, how to solve problem solving questions by using the techniques like approximation, elimination and substitution and also word problems were explained along with practice questions. With the help of these techniques you can answer the questions in ACT without solving them exactly and also you can manage your time properly.

How to read this book

All the topics in this book are explained through animated videos and these animated videos are available at www.testprep24.com. You will get good results if you read this book simultaneously by watching videos.

INDEX

1. Numbers     

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 

Percentages          

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    

g)  Basic Terms

h)  Relationship between basic terms

i)  Examples

Simple Interest and Compound Interest   

a)  Simple Interest

b)  Compound interest

c)  Formulas

d)  Examples

Ratio and Proportion    

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    

a)  Linear Data

b)  Non-Linear Data

c)  Weighted Average

Mixtures and Alligations     

a)  Mixtures

b)  Alligations

c)  Example Problems

Time and Work     

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 Distance     

a)  Speed

b)  Average Speed

c)  Relative Speed

d)  Example Problems

3. Geometry   

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)  Scalene 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 of Diagonals

d)  Regular Polygons

Circle

a)  Circle

b)  Arc

c)  Sector

d)  Semi-circle

e)  Important result in circle

3-D Geometry

a)  Cuboid

b)  Cube

c)  Cylinder

d)  Cone

e)  Sphere

f)  Hemi-Sphere

Co-ordinate Geometry

a)  Distance between two points

b)  Slope

c)  Mid-point

d)  m:n ratio division

e)  Perpendicular line slope

f)  Intercepts

g)  Line equation

h)  Line equation parallel to x-axis

4. Algebra   

1. Algebraic Expression 

2. Algebraic Equation 

3. Roots of an Equation

4. Exponents

5. Basic Formulas

6. Functions

a)  Special Functions

7. Simple Equations

8. Inequalities and Absolute Values

a)  Arithmetic Operations on Inequalities

b)  Absolute values

c)  Solving a Quadratic Inequality

d)  Graphical Representation

5. Counting   

Permutations and Combinations    

a)  Difference between Permutations and combinations

b)  Basic Approach

c)  Conditional Slots

Probability          

a)  Basic Formulas

b)  Independent Event

c)  Dependent Event

d)  Types of questions in Probability

i)  Coins

ii)  Dice

iii)  Cards

Sequencing          

Progression          

a)  Basic