In addition to the books in our Bookstore we recommend the titles shown below.
As there are now many books published on Vedic Maths we list here only those known to us as good books, either because we have seen the book or it has been recommended by one of our team. If you would like to send a copy of a book to us please send to the following address but please note this will not guarantee we will list it on this page.
Kenneth Williams, Academy of Vedic Mathematics, Carsphairn, Castle Douglas, DG7 3TE, Scotland, U.K.
N.B. We performed a web search for other books on Vedic Mathematics (last updated April-May 2016). The results of this can be found on the links in the menu on the right.
Pebble Maths
A new and successful way to teach Vedic maths to beginner learners of all ages and abilities.
N.B. there are a range of videos that go along with the book, that can be found here on the website.
The Curious Hats of Magical Maths, Books 1 & 2
James Glover, 2015
Contact: jt.glover1@gmail.com
The Curious Hats of Magical Maths are introductory workbooks on Vedic Mathematics. They lead you into some unique, enjoyable and very quick methods of working with numbers. There are full descriptions of these methods together with worked examples for you to follow and plenty of practice exercises. They are in workbook style so answers can be written in the spaces provided. The answers are at the back of the book to check your work. The problems and methods are suitable for any age but probably most apt for 11 – 13 year-olds, Indian Class VI – VII, UK Years 7 – 8. The aim is to introduce some of the Vedic mathematical techniques and not to cover the whole of the mathematics syllabus for 11 - 13 year-olds. The books can be used for support material, extension material or simply by those wishing to find fast techniques for solving problems.
Vedic Maths is based on a few simple rules that enable you solve all types of mathematical problems. In this series, each rule is represented by a hat specifically designed to convey something of the meaning of the rules.
Book 1 covers fast methods for multiplication, division, addition and subtraction puzzles, number patterns, stories, digital roots and decimals. Book 2 develops further the methods for multiplication and division and includes squaring, products and factors, fractions, algebra, equations, decimals, ratio and proportion, percentages, averages, problems.
Now on sale through Amazon at,
and
Vedic Mathematics for All Ages: A Beginners' Guide
Vandana Singhal, 2007
ISBN 978-81-208-3230-5
Published by Motilal Banarsidass
Amazon Link US
Amazon Link UK
Amazon India Link
Motilal Banarsidass Link
Google Books Link
Google Books (Partial Copy) Link
Forword vii
Preface ix
Feedback xi
Introduction xv
Chapters
1. Complement 1
2. Subtraction 7
3. Multiplication by Specific Numbers 35
4. Base Multiplication 59
5. Working base Multiplication 87
6. Multiplication 97
7. Algebra
8. Digital Roots 139
9. Divibility 143
10. Division I 151
11. Division II 175
12. Squares 193
13. Straight Squaring 221
14. Cubes 237
15. Square roots of exact squares 257
16. Cube roots of exact cubes 263
18 Square Roots II 283
Sutras 293
Glossary 295
index 296
This book teaches you to calculate fast and in straight steps. The graphics and colours used in the book make it user friendly and easy to understand. The fun filled activities in each chapter make the process of learning Vedic Mathematics enjoyable for all ages. this book of Vedic Mathematics will help you to become confident and skilled mathematicians without calculators. [from the back cover]
Vedic Mathematics for Schools - Books 1, 2 and 3
J T Glover, 1995, 1999, 2002
Published by Motilal Banarsidass
Book 1
ISBN 81-208-1318-9
Amazon Link US
Amazon Link UK - (with CD)
Amazon India Link - (with CD)
Motilal Banarsidas Link - (with CD)
Google Books Link
Google Books (Partial Copy) Link
Book 2
ISBN 81-208-1670-6
Amazon Link US
Amazon Link UK - (with CD)
Amazon India Link - (with CD)
Motilal Banarsidas Link - (with CD)
Google Books Link
Google Books (Partial Copy) Link
Book 3
ISBN 81-208-1819-9
Amazon Link US
Amazon Link UK - (with CD)
Amazon India Link - (with CD)
Motilal Banarsidas Link - (with CD)
Google Books Link
Google Books (Partial Copy) Link
Chapter 1 Simple practice of number 1
Place value. Patterns in number. Addition and subtraction. Multiplication practice. Division practice.
Chapter 2 Multiplication by Nikhilam 9
What is multiplication? Complements. Multiplication of single digit numbers. Multiplication using a base of 100. Multiplication using a base of 1000. Multiplication above the base.
Chapter 3 Division 19
Simple division. Division with remainders. Naming the parts of a division sum. Dividing by Nine. Nikhilam division. Divisors with base 100 and 1000. Nikhilam division with any base.
Chapter 4 Digital Roots 27
Adding the digits of a number. Digital roots for the times tables. Casting out nines. The 9X table.
Chapter 5 Multiplication by Vertically and Crosswise 32
Two-digit by two-digit multiplication. Multiplying by a single digit. Multiplying larger numbers.
Chapter 6 Subtraction by Nikhilam 39
Complements. Subtraction using complements. Starting with complements in the middle of a sum. Finishing with complements in the middle of a sum. The general case of subtraction.
Chapter 7 Vulgar Fractions 46
What is a fraction? Naming fractions. Denominator. Numerator. Fractions of shapes. Finding a fraction of a quantity. Adding Fractions. Equivalent Fractions. Fractions to infinity.
Chapter 8 Decimal Fractions 58
About decimals. Naming, reading and writing decimal numbers. Addition of decimals. Column addition with decimals. Subtraction of decimals. Using nought to fill the space. Multiplication of decimals. Multiplying and dividing multiples of ten. Division of decimals. Working with money.
Chapter 9 The Meaning of Number 72
The circle of nine points. The number one. Product. Factors. Divisibility. Prime numbers. The Sieve of Eratosthanes. Number two. Odd and even numbers. Multiples. The number ten. Summary.
Chapter 10 Vinculums 83
Adding and subtracting ten and other numbers ending with nought. Vinculum numbers. Adding and subtracting vinculum numbers.
Chapter 11 Algebra 91
Codes. Finding the value of expressions. Equations. Solving equations. Simplifying.
1 Multipying by All from 9 and the last from 10
Complements, Using complements in calculations, Multiplication using All from nine and the last from ten, multiplying numbers above a base, How does it work? Above and below
2 Vertically and crosswise multiplication
The general case, Multiplying large numbers, Multiplication by 11, Multiplication by 12, Multiplying numbers with final noughts
3 Division
The nature of division, Simple division, Division by All from 9 and the last from 10, Division by Transpose and Adjust
4 Subtraction by All from 9 and the last from 10
Subtraction using complements, Starting with complements in the middle of a sum, Finishing with complements in the middle of a sum, The general case of subtraction, Turbo Subtraction
5 Prime and composite numbers
Highest common factor, Prime numbers, Composite numbers, Lowest common multiple, Coprime numbers, Summary of definitions for primes and composite numbers
6 Fractions
Equivalent fractions, Improper fractions and mixed numbers, Multiplying fractions, Multiplication of mixed numbers, Division of fractions, Division of mixed numbers
7 Algebra
First Principles, Simplifying, Simple equations, Solving equations by Transpose and Adjust, Multiplication, Brackets, Simplifying with indices
8 Practice and Revision 1
9 Geometry 1
Dodecahedron, Notes on drawing, To construct the internal angle for the dodecahedron, Exterior model, To draw a straight line any number of times as long as a given straight line, To draw a perpendicular near the end of a straight line, To bisect a straight line perpendicularly, To drop a perpendicular from a point to a given straight line, To bisect a given angle, To copy a given angle, To divide a given line into any number of equal parts, To construct a triangle given the lengths of the three sides, Touching circles
10 Digital roots
Summing digits, Casting out nines, Using digital roots to check answers
11 Divisibility
First Principles, Two, five and ten, Four and eight, Nine and three, Divisibility rules, Divisibility rules for composite numbers
12 Addition and subtraction of fractions
Adding with the same denominator, Adding when one denominator is a factor of the other, Addition using Vertically and crosswise with coprime denominators, Vertically and crosswise for non-coprime denominators, Subtraction with the same denominators, Subtraction when one denominator is a factor of the other, Subtraction using Vertically and crosswise with coprime denominators, Vertically and crosswise with non-coprime denominators, Summary, Practice with mixed numbers
13 Decimal fractions
Place Value, Decimal Point, Addition and subtraction of decimals, Three types of remainder, Converting decimal fractions into vulgar fractions, Converting vulgar fractions into decimal fractions
14 Perimeters and areas
Perimeters, Area, Areas of rectangles, Compound areas, Areas of triangles
15 Straight division
Straight division, Altered remainders, Straight division with altered remainders
16 Practice and revision 2
17 Working base multiplication
Using a working base
18 Ratio and proportion
Ratio, Proportion, Solving Ratio Equations, Problems in Direct Proportion, Problems in Indirect Proportion
19 Geometry 2 - The Rectangle Propositions
The characteristics of a rectangle, Triangles in Semicircles, To construct a perpendicular at a given point on a straight line, To construct a square on a given base, To draw a rectangle within a circle, To draw a rectangle with a given base, To draw a rectangle with a given base and a given height, The golden rectangle, Any triangle is half a rectangle, Through a given point to draw a line parallel to a given line, To draw a square twice as large as a given square
20 Order of Operations
Multiple products, Mixed multiplying and dividing, Mixed additions and subtractions, Collecting like terms, Mixed operations, Brackets
21 Multiplication and division of decimals
Multiplication and division by powers of ten, Factors and multiples of powers of ten, Single digit multipliers and divisors, Multiplication of decimals by Vertically and crosswise, Problems, Straight decimal division, Moving the decimal point
22 Percentages
What is a percentage? Finding a percentage of a given quantity, Expressing one quantity as a percentage of another, Percentage increase and decrease
23 Averages
Finding the average, Using a module to find the average
24 Graphs
Distance/Time Graphs, Frequency tables, Bar charts
25 Calculations using vinculums
Multiplication, Further multiplication using vinculums, Rules for multiplying vinculums, Adding and subtracting vinculums, Vertically and crosswise multiplication with vinculums
26 Geometry 3 - Angles
Types of angle, The unit for angles, To draw an angle equal to 60˚, To draw an angle of 30˚, Measuring angles, Types of angle, Angles about a point, Angles on a straight line, Naming angles
27 Practice and Revision 3
Appendix - Tables of weights and measures 231
Chapter 1 Simple arithmetic
Addition; subtraction; multiplication; division; problems; rules for signs in addition and subtraction; rules for signs in multiplication and division
Chapter 2 Multiplication by All from 9 and the last from 10
Multiplying below the base; multiplying above the base; multiplying above and below the base; squaring numbers close to a base; squaring numbers ending in 5; when the final digits add up to 10
Chapter 3 Division
Simple division; division by 9; division by All from nine and the last from ten; division by Transpose and adjust
Chapter 4 Algebra
First principles; solving equations; two-stage equations by Transpose and adjust; expanding brackets; equations with brackets; making up expressions; dealing with minus signs; solving equations with minus signs
Chapter 5 Coordinate geometry
Coordinates; straight lines on graphs; coordinates which satisfy an equation; plotting a straight line from a given equation
Chapter 6 Approximations
Rounding off; decimal places; significant figures; working to a given number of decimal places
Chapter 7 Practice and revision 1
Chapter 8 Geometry
Revision of basic constructions; angles in relation to a circle; angles in a triangle; parallel lines
Chapter 9 Arithmetic practice
Tuning up practice; multiplying and dividing by powers of ten; using the Proportionately rule; further use of Proportionately
Chapter 10 Compound arithmetic
Addition; subtraction; multiplication of compound quantities; division; compound arithmetic with metric units
Chapter 11 Indices
Indices; laws of indices; areas and volumes
Chapter 12 Further division
Two-digit divisors with whole number remainders; altered remainders; straight division with altered remainders
Chapter 13 Factors and multiples
Summary of definitions; divisibility; divisibility rules; test for 11; prime factors; highest common factor; using prime factors to find the HCF; finding the HCF by Elimination and retention; finding the LCM by Vertically and crosswise; investigation into primes
Chapter 14 Triangles
Construction of triangles
Chapter 15 Vulgar fractions: addition and subtraction
Naming terms; equivalent fractions; improper fractions and mixed numbers; addition and subtraction; comparing fractions
Chapter 16 Vulgar fractions: multiplication and division
Multiplying fractions; dividing by a fraction; mixed practice
Chapter 17 Discrimination in division
Extending simple division; division by nine; division by All from nine and the last from ten; division by eleven; division by Transpose and adjust; dividing by 5; proportional division; straight division with altered remainders; using a vinculum in the flag; choosing which method to use
Chapter 18 Further algebra
Simplifying in addition and subtraction; simplifying in multiplication and division; using brackets; factorising expressions; multiplying binomials by Vertically and crosswise; construction of formulae; substitution; using formulae
Chapter 19 Ratio and proportion
Ratio; proportion; solving ratio equations; problems in direct proportion; problems in inverse proportion; dividing a quantity in a given ratio; percentages; percentage increase and decrease; pie charts
Chapter 20 Fractions to decimals
Large recurring decimals of a particular type; converting fractions to decimals by division; how to write recurring decimals; Proportionately; one seventh
Chapter 21 The octahedron
Octahedron; internal model for octahedron; truncating the octahedron
Chapter 22 Practice and revision 2
Answers 197
Vedic Mathematics For Schools, in three books, contain many introductory elements of Vedic mathematics as well as dealing with topics required for teaching mathematics to 11 – 13 year-olds.
Each method used for numerical calculations is introduced separately and exercises are carefully graded to enable the distinct developmental steps to be mastered. Each technique is denoted by one or more of the sutras. The text incorporates explanations and worked examples of all the methods used and includes descriptions of how to set out written work.
The course has been written in conjunction with teaching groups of children in the first three years of high school. The main emphasis at this stage is on developing numeracy and its principal fields of application, since this is the most essential aspect of mathematics. The books concentrate on these areas of mathematics and treats them as the core curriculum of the subject.
Experience has shown that children benefit most from their own practice and experience rather than being continually provided with explanations of mathematical concepts. The explanations given in this text show the pupil how to practise so that they may develop their own understanding.
It is to be hoped that teachers may provide their own practical ways of demonstrating this system or of enabling children to practise and experience the various methods and concepts. It is difficult to appreciate the full benefits of Vedic mathematics unless one gets immersed in the techniques, leaving behind all previous personal paradigms and prejudices about mathematics.
The sutras embody laws, principles or methods of working and do not always easily succumb to rigid classification. Some of them have many applications. Transpose and adjust is one such rule. It applies to solving equations, division in fractions and dividing numbers close to a base. It has many other uses at later stages in mathematics and indicates, not a single or particular algorithm, but a general mental procedure. There are other sutras, such as, When the final digits add up to ten, for which the uses appear to be very limited.
It is because of the many faceted quality of the sutras, and that there are so few of them, that the subject becomes greatly unified and simplified.
Math is not a Four Letter Word - An Introduction to the Study of Vedic Mathematics
Rick Blum, 2012
Contact: pensions@mindspring.com
Pages
Chapter 1 – What is Vedic Math? 1-3
Chapter 2 – Vedic Addition
- Basic Left to Right Addition 4-7
Chapter 3 – Vedic Subtraction
- Basic Left to Right Subtraction 8 -12
- Subhendo Sen’s Method of Subtraction 12-16
- Vinculum Subtraction 16-21
- Dot Subtraction 21-25
- Comments 25
Chapter 4 – Fractions
- Addition of Fractions 26-28
- Subtraction of Fractions 28-29
Chapter 5 – Vedic Multiplication
- Vertically and Crosswise 30-33
- Algebraic Multiplication 33-34
- Vertically and Crosswise Chart 35
- Multiplication of 2 Numbers Close to 10 36-39
- Multiplication of 2 Numbers Close to 100 39-44
- Multiplication of 2 Numbers Close to 1000 44
- Algebraic Proof of Base Multiplication Method 44-45
- Multiplication of Numbers Near Working Bases 45-51
- Multiplication Near Different Bases 51-55
- General Case – Multiplying Different Multiples of Different Bases 55-56
Chapter 6 – Vedic Division
Division By 9 57-61
- Division By 8 61-63
- Algebraic Division by x-1 and x-2 63-66
- Division By 11 66-69
- Division By 12 69-71
- Division By x+1 and x+2 71-72
- Division by a Higher Base 72-79
- On the Flag Division 79-82
- Dividing into Larger Number 82-84
- Decimalizing the Remainder 84-85
Richard Blum has been studying and teaching Vedic Mathematics for almost 20 years. This book covers Vedic techniques that will greatly accelerate one's ability to add, subtract, multiply and divide. Mr. Blum's informal style of explanation makes these techniques easy to learn and immediately useable in practical situations.
Modern Approach to Speed Math Secret - Key to Master Speed Mathemagic
Author: Vitthal Jadhav
Page count ;- 325
Edition :- Second Edition (24 November 2013)
Format :- Ebook
Sold by : - Google
Price : - 2.99 $
Preview link :-
https://play.google.com/store/books/details/Vitthal_B_Jadhav_Modern_Approach_to_Speed_Math_Sec?id=PXi7jCVYClAC
|
1. |
Inter Base Conversion Method |
1 |
|
2. |
Monodigit Number |
12 |
|
3. |
Faster division by 10n 1 or monodigit number |
37 |
|
4. |
Global Number System |
42 |
|
5. |
Ripple operator |
58 |
|
6. |
Derivation of Trachtenberg Formulae to Multiply any Number with 3-12 |
65 |
|
7. |
Square of number close to 10n having tens digit as x=7, 8 or 9 |
71 |
|
8. |
Square, Square Root and Cube of Specific Number |
72 |
|
9. |
Recursive Square Method |
77 |
|
10. |
Sliding Ruler Multiplication Method ( Unification of Vertically Crosswise and Trachtenberg Multiplication Method ) |
80 |
|
11. |
Duplex square made easy |
87 |
|
12. |
Osculation based divisibility Test |
90 |
|
13. |
Divisibility by 10n ± 1 and Its Application |
98 |
|
14. |
Remainder Corollary |
106 |
|
15. |
VJ’s Universal Divisibility Test |
112 |
|
16. |
Divisibility Chart |
128 |
|
17. |
Nth power of two digit number made easy |
129 |
|
18. |
Novel Approach for Multinomial Expansion |
136 |
|
19. |
Computing mth Root of n digit number |
139 |
|
20. |
Magical Game |
143 |
|
21. |
Calendar calculation made easy |
162 |
|
22. |
Why 0.999...... =1 ? |
167 |
|
23. |
Common Balance Puzzle |
169 |
|
24. |
Shift Add Representation and its Application |
172 |
|
25. |
VJ’s Multiplication Method |
177 |
|
26. |
Modified Quine-McCluskey Method ( For engineering student ) |
184 |
Book presents high speed method like inter-base conversion method, universal divisibility test etc , invented by author , in vedic mathematics. It also explains whole speed mathematics using zero.
Learn and Teach Vedic Mathematics
By Dr S K Kapoor,
Publisher: Lotus Press (30 Sep 2007)
Language: English
ISBN-10: 8189093029
ISBN-13: 978-8189093020
Book can be obtained at www.starpublic.com
Amazon UK Link
Amazon US Link
Amazon India Link
Contents
Foreword.
Preface.
I. Ancient wisdom
1. Urge to know.
2. Learn and teach.
3. Four courses first course learn and teach Vedic mathematics on geometry formats.
4. Second course Vedic mathematics for beginners.
5. Third course mathematics chase of Sanskrit.
6. Fourth course transcended basis of human frame.
7. Why Vedic mathematics.
8. Glimpses of Vedic mathematics.
9. Multi dimension of time space and time and space in Mansara.
II. Ganita Sutras geometric formats
1. Ganita Sutras text.
2. Format of Ganita Sutra 1.
3. Format of Ganita Sutra 2.
4. Format of Ganita Sutra 3.
5. Format of Ganita Sutra 4.
6. Format of Ganita Sutra 5.
7. Format of Ganita Sutra 6.
8. Format of Ganita Sutra 7.
9. Format of Ganita Sutra 8.
10. Format of Ganita Sutra 9.
11. Format of Ganita Sutra 10.
12. Format of Ganita Sutra 11 16.
III. Space book
1. (English pairing).
2. A An The.
3. That this
4. One.
5. Two.
6. (Mirror content).
7. (Linear order).
8. (The end Be end God).
9. Seed Space seed Seed space seed.
10. Vedic mathematics operations.
11. Space book chapter order/four sequential formulations first second third and so on.
IV. Sun God creator
1. Sequential formulations one two three and so on.
V. Shrimad Bhagwad Geeta
1. Geeta study zone chase step I.
2. Geeta chapter 1.
3. Tables.
4. Electronic configurations tables (chapters 1 to 18).
5. Chase as manifestation layer (3 4 5 6).
VI. Features of basics
1. Basics features formulations.
VII. Initial lessons
1. Lesson 1 Ganita Sutras.
2. Lesson 2 Ganita Upsutras.
3. Lesson 3 Ganita Sutra 1.
4. Lesson 4 Number cone.
5. Lesson 5 Domain boundary ratio.
6. Lesson 6 Geometric components formulation.
7. Lesson 7 Existence of higher spaces.
8. Lesson 8 Outward and inward expansions.
9. Lesson 9 Geometries of 3 space.
10. Lesson 9 (2n+1) geometries for n space.
11. Lesson 11 Requirement of 960 cubes to net 6 space domain.
VIII. For cosmic intelligence learning from Stage I
1. Text.
2. Mathematics activity.
3. Lesson 1 Counting with rule from 1 to 10.
4. Lesson 2 Number line.
5. Lesson 3 Counting with rule from 10 to 19.
6. Lesson 4 Counting with rule from 20 to 29.
7. Four weeks training course for first stage Vedic mathematics teacher.
8. Group one Lesson 1 to 10 for first week of first semester of training course.
IX. Appendices.
This is another book in series of five previous books of Dr. S.K. Kapoor. This very gently is taking us towards is intuition and conviction as that Vedic knowledge is lively within rays of the sun. In his words Vedas are written on rays of the sun. He feels blissfully about everything all as a single domain and a single discipline of knowledge. Step by step his thesis about nature as common source of all ancient wisdom is unfolding blissfully. The beauty with which the ancient wisdom unfolding as Ganita Sutras and number value formats as organization formats of orthodox and classical English Vocabulary is preserving is enchanting. It stimulates the intelligence. It stimulates and perfects the intelligence transcending the manifested formats of formulation as English Vocabulary has started unfolding through this approach. It is wonderfully embracing humbleness to get posed with uncomfortable situation eluding answer as to how it all stood designed and then at what point of time and then further by whom. 308 pp.
The Cosmic Computer
Description
This book is an abridged version of the Cosmic Calculator books which form part of a full course based on Vedic Mathematics. It will appeal to teachers, parents, pupils of all ages from eight upwards and anyone who enjoys the beauty and precision of mathematics. An excellent introduction to the Vedic system.
The book is beautifully illustrated with a striking full-colour picture of a painting on the front cover and is almost A4 in size. It is written to the student, has many examples, and exercises with answers.
Details
200 + xi pages.
Size: 27cm by 21cm.
Paperback. 1997
Authors: Kenneth Williams & Mark Gaskell
ISBN 0 9531782 0 X.
Revised edition 2010.
Currently out of print.
Reviews
"This book is a delight" - Andrew Nicholas, Maths teacher
"Congratulations . . . a beautiful exposition of the essential elements of Vedic Mathematics" - Brian McEnery Ph.D.
"My nine year old daughter always looks forward to working from the book. She is not particularly keen on maths at school but she enjoys the book so much she doesn't want to stop" - Bernard Bence
"This book is really well set out and very easy to read" - Peter Harrison, Bookseller
Introduction
This book is an abridged version of the Cosmic Calculator books which form part of the Vedic Mathematics course written for schools which covers the National Curriculum for England and Wales.
This shortened version is a response to a demand for some of the Vedic Mathematics content of the course to be made available in a single volume. Consequently it contains much of the material which is especially original, but it is not intended as a complete course. So, for example, there is no introduction to decimals or algebra. The book covers a considerable range from simple addition and subtraction to quadratic equations. There are plenty of exercises to practice the easy Vedic methods and answers are included.
The original course is aimed at 11-14 year old pupils and is a complete course covering Arithmetic, Algebra, Geometry and Statistics. It also includes, in the Teacher's Guides, hundreds of specially designed mental tests, about 45 extension sheets, teacher's notes, revision tests, games, worksheets etc. and a Unified Field Chart which shows the development of the parts of mathematics in relation to the whole.
Vedic mathematics was rediscovered from ancient Indian texts, called the Vedas, by Bharati Krsna Tirthaji (1884-1960) between 1911 and 1918. His book 'Vedic Mathematics', 1960, is currently available and the Cosmic Computer course has been developed over many years from this work.
Anyone familiar with the Vedic system will be aware of the remarkable techniques: 'difficult' problems or huge sums which can be solved immediately by the Vedic method. These striking and beautiful methods are part of a complete system of mathematics which is far more systematic than the modern 'system'. Vedic Mathematics brings out the coherent and unified structure of mathematics and the methods are complementary, direct and easy.
The simplicity of Vedic Mathematics means that calculations can be carried out mentally and this is very much encouraged in the course. The Vedic system develops creativity in the students partly through encouraging mental calculation; students like to devise their own methods. The Vedic system also cultivates intuition so that both hemispheres of the brain can work together- having a conscious proof or explanation of a method or result is not essential (although all methods shown in the course are fully explained). Students are shown general methods and also special methods which apply in special cases. This means they do not rigidly have to follow a certain procedure but have a choice and can invent their own methods. As in life every problem is unique and invites its own method of solution.
The use of the Vedic formulae or Sutras is a great help. They describe the various ways that the mind can be used (extending, reversing, combining ideas, generalizing etc.) and thereby help in developing these faculties. It is not necessary for the pupil or teacher to learn these- they become familiar after a while and seem quite natural.
The title of this book, The Cosmic Computer, is from Maharishi Mahesh Yogi who said some years ago that the Sutras of Vedic Mathematics are the software for the Cosmic Computer: it is the Cosmic Computer that determines the outcome of every event in the universe, according to the laws of nature.
Vedic mathematics is being taught in some schools with great success. Pupils progress faster and very much enjoy their work under this system, which has rightly been called "Mathematics with Smiles".
Contents
CHAPTER TITLES
1 DIGIT SUMS AND THE NINE-POINT CIRCLE
2 THE DIGIT SUM CHECK [checking sums using digit sums]
3 ADDITION AND SUBTRACTION [some special methods]
4 DOUBLING AND HALVING
5 NUMBER SPLITTING
6 ALL FROM 9 AND THE LAST FROM 10
7 BAR NUMBERS AND SUBTRACTION
8 NIKHILAM MULTIPLICATION [for numbers near a base]
9 ON THE FLAG [calculating from left to right]
10 BY ONE MORE THAN THE ONE BEFORE [special multiplication devices]
11 DIVISIBILITY
12 GENERAL MULTIPLICATION
13 ALGEBRAIC MULTIPLICATION
14 SQUARING
15 EQUATIONS
16 VERTICALLY AND CROSSWISE [combining fractions, equation of a line]
17 SPECIAL DIVISION [dividing by numbers near a base]
18 RECURRING DECIMALS [converting fractions to decimals]
19 FURTHER MULTIPLICATION
20 SQUARES, CUBES AND ROOTS
21 STRAIGHT DIVISION [general division]
22 AUXILIARY FRACTIONS [further recurring decimals]
23 SIMULTANEOUS EQUATIONS
24 DIVISIBILITY AND SIMPLE OSCULATORS
25 SQUARE ROOTS [general method]
26 QUADRATIC EQUATIONS
27 TRIPLES [introduction to Pythagorean triples]
Back Cover
The remarkable system of Vedic Mathematics was rediscovered from ancient Vedic texts earlier this century. The Vedic system with its direct, easy and flexible approach forms a complete system of mental mathematics (though the methods can also be written down) and brings out the naturally coherent and unified structure of mathematics. Many of the features and techniques of this unique system are truly amazing in their efficiency and originality.
Being a mental system, Vedic Mathematics encourages creativity and innovation. Mental mathematics increases mental agility, improves memory, the ability to hold ideas in the mind and promotes confidence, as well as being of great practical use.
With the growing popularity of Vedic Mathematics in schools, a full Vedic Mathematics course, The Cosmic Computer course, has now been written which covers the National Curriculum Key Stage 3. This book is a shortened version of that course, containing the most striking of the Vedic methods. Though written for 11-14 year old pupils some of the earlier chapters would be appropriate for younger children and all of the material is suitable for older students as the content is so original. The coherence and freshness of the Vedic system will appeal to anyone who enjoys the beauty and precision of mathematics.
25 Math Short Cuts
Author: Virgilio Y. Prudente, 2014
Paperback, 100 pages
Publisher: Math-Inic
ISBN 978-621-95554-0-1
Available at:
Printed copy: https://www.facebook.com/MATHInicPhils
e-book: https://gumroad.com/mathinic
Advanced Praise for 25 Math Short Cuts and its Author
Foreword
Acknowledgments Preface
Dedication
Introduction
MSC # l : Addition by Creating Zeroes
MSC # 2: All from 9 and the Last from 10 Subtraction 3
Birthday Calculator 6
MSC # 3: Subtraction without Borrowing 7
Calculator Trick: Two-Digit Number 10
MSC # 4: Multiplying by 11 11
How to Compute Lumber Measurements 14
MSC # 5 Multiplying by 2 15
MSC # 6: Dividing by 2 19
Math Story Doubling and Halving
When Buying T-Shirts 22
MSC # 7: Doubling and Halving Together 23
Lucky Seven Trick 24
MSC # 8. Multiplying by 9 25
Calculator Trick Three-Digit Number 27
Conversion: Kilograms to Pounds 28
Conversion: Pounds to Kilograms 28
MSC # 9: Dividing by 5, 50, 0.5 etc. 29
Conversion: Meters to Feet 32
Conversion: Feet to Meters 32
MSC # 10: Multiplying by 5, 50, 5%, etc. 33
Conversion: Kilometers to Miles 35
Conversion: Miles to Kilometers 36
MSC # 11: Dividing by 9 37
MSC # 12: Dividing by 4 and 8 41
MSC # 13: Multiplying by 25, 250, and 125 45
MSC # 14: Dividing by 25, 250, and 125 49
Calculator Trick: Five-Digit Number 51
Conversion: Feet, Inches to Meters 52
MSC # 15: Squaring Numbers Ending in 5 53
MATH Story: Computing Commissions 55
MSC # 16: Multiplying Complementary Numbers 57
Conversion: Meters to Feet, Inches 60
The 1089 Magic 60
MSC # 17: Base Multiplication: Teens and Other
Numbers Above the Base 61
Conversion: Yards to Meters 64
Conversion: Meters to Yards 64
MSC # 18: Base Multiplication:
Numbers Below the Base 65
MSC # 19: Base Multiplication: One Number Above
and One Number Below the Base 67
MSC # 20: Squaring Numbers near a Power of Ten 69
MATH Story: Carabao Fractions 71
MSC # 21: Squaring Numbers near 50 73
MATH Story: Dried Fish Arithmetic in Action 75
MSC # 22: Multiplying Numbers with the Same Units
Digit and Tens Digit that are Complementary 77
Conversion: Celsius to Fahrenheit 79
Conversion: Fahrenheit to Celsius 80
The Magic of Your Favorite Number: 80
MSC # 23: Multiplying Numbers Ending in 5 81
MSC # 24: Multiplying Numbers when their
Average is a Multiple of 10 85
MSC # 25: Squaring Any Number 89
Answer Key 92
About MATH-Inic 96
About Vedic Math 97
About the Author 98
Knowing how to calculate quickly, without the need of a calculator or pen and paper is a very useful skill. Whether you need to divide a dinner bill among friends, double a recipe, compute for a discount or commission, or figure out how many more pages of your textbook you have to read, knowing math shortcuts can make your life so much easier.
The 25 short cuts included in this book are some of the most useful in everyday life and among the easiest to master.
Packed with useful calculation methods, neat Math tricks and amusing anecdotes, and all explained in a fun and very readable style! – Kenneth R. Williams, Founder, Vedic Mathematics Academy(UK)
What I see in … this book’s collection of “tricks” is practical Algebra. They will be important for our children…ensuring that they understand Math before calculators and computers come in. – Michael L. Tan, DVM, Ph.D., Chancellor UP Diliman
Ike’s book is very useful. I certainly enjoyed reading it and learned some new things as well. – Reynaldo B. Vea, Ph. D., President, Mapua Institute of Technology
I really like your short cuts. I now realize how easy a lot of things in computing would have been if I learned your shortcuts early in life. Your techniques should reach as wide a readership/adherence as possible, especially among young ones. – Gen. Hermogenes Esperon(Ret.), National Security Adviser
25 Math Short Cuts is a book every household should have, and should be read by all its members, children and elders alike. – Cielito Habito, PH.D., former Director-General , National Economic and Development Authority and Socio-Economic Planning Secretary
Algebra Made Easy as Arithmetic
Author: Virgilio Y. Prudente, 2017
Paperback, 114 pages
Publisher: Math-Inic
ISBN 978-621-95554-1-8
Available at :
Printed copy: https://www.facebook.com/MATHInicPhils
e-book: https://gumroad.com/mathinic
Dedication
Advance Praise
Acknowledgment
About MATH-Inic
Foreword
Preface
Part l: Some Important Arithmetic Shortcuts
Chapter 1 : Digit Sum 2
Chapter 2: Using Digits Sums to Check Arithmetic Computations 4
2.1: Checking Addition by Digit Sums 4
2.2: Checking Subtraction by Digit Sums 5
2.3: Checking Multiplication by Digit Sums 6
Chapter 3: The First by the First and the Last by the Last 7
Chapter 4: Multiplying by 11, 12, and 13 9
4.1: Multiplying by 11 9
4.2: Multiplying by 12 and 13 12
Chapter 5: Multiplying by 9, 8, and 7 14
5.1: Multiplying by 9 14
5.2: Multiplying by 8 and 7 15
Chapter 6: Dividing by 9, 8, and 7 18
6.1: Dividing by 9 18
6.2: Dividing by 8 and 7 21
Chapter 7: Dividing by 1 1, 12, and 13 23
7.1: Dividing by 1 1 23
7.2: Dividing by 12 and 13 24
Chapter 8: Vertically and Crosswise: 25
Left-to-Right Two-Digit By Two-Digit Multiplication 25
8.1: Two-Digit by Two-Digit Multiplication Without Regrouping 25
8.2: Two-Digit by Two-Digit Multiplication With Regrouping 26
Chapter 9: Vertically and Crosswise: Longer Multipliers 27
9.1: Three-Digit by Three-Digit Multiplication 27
9.2: Four-Digit by Four-Digit Multiplication 28
Chapter 10: Vertically and Crosswise: Sliding Multiplier 29
Chapter 11 : Vertically and Crosswise: Working with Fractions 31
11 .1 : Comparing Fractions 31
11.2: Adding and Subtracting Dissimilar Fractions 33
Part Il: Solving Linear Equations 35
Chapter 12: "Think of a Number": One-Step Solution 38
Chapter 13: "Think of a Number": Two-Step Solution 41
Chapter 14: "Think of a Number": Three-Step Solution 43
Chapter 15: Solution of Equations with Two Variable Terms Type l: CIX + cx+ d 45
Chapter 16: Solution of Equations with Two Variable Terms: Type Il: x/a + x/b = c 47
Chapter 17: Solution of Simultaneous Equations: By Substitution 49
Chapter 18: Solution of Simultaneous Equations: By Addition and By Subtraction 51
Chapter 19: Solution of Simultaneous Equations: x and y Coefficients Interchanged 53
Part Ill. Some Algebraic Multiplication and
Division Techniques 54
Chapter 20: The First by the First and the Last by the Last 55
Chapter 21: The Product of the Sum is the Sum of the Products 57
Chapter 22: Algebraic Multiplication: Binomials 59
Chapter 23: Algebraic Multiplication: Trinomials and Longer Polynomials 60
Chapter 24: Multiplying Polynomials of Unequal Length: Sliding Multiplier 62
Chapter 25: Special Multiplication: Multiplying by ( x + 1 ) 64
Chapter 26: Special Multiplication: Multiplying by (x — 1 ) 68
Chapter 27: Special Division by (x— 1) 71
Chapter 28: Special Division by ( x + 1) 73
Chapter 29: Special Division by ( x ± a) 75
Part IV: Solving Quadratic Equations 77
Chapter 30: Reversing DPMA: The First Step in Factoring 78
Chapter 31: Factoring when A = 1 80
Chapter 32: The AC Method of Factoring 83
Chapter 33: Tirthaii's Method of Factoring 86
Chapter 34: Special Cases: When One Factor is 89
Chapter 35: Using the Sum of Coefficients 94
Chapter 36: Using the Discriminant 99
Chapter 37: The Differential is Equal to the Square Root of the Discriminant 101
Making Math Easier: Notes to Students, Parents, and Teachers
Answer Key
About Vedic Math
About the Author
Algebra Made Easy as Arithmetic demonstrates how the application of some basic arithmetic procedures can greatly simplify many algebraic operations. It also shows that there are other approaches to algebraic solutions which some students may find simpler to use.
This excellent book from Virgilio “Ike” Prudente is a welcome and much needed addition to the Vedic Maths literature and will undoubtedly be a great help to all those who wish to expand and enrich their knowledge of Mathematics. – Kenneth R. Williams, Founder, Vedic Maths Academy (UK)
MATH-Inic mixed with practice would make anyone fall in love with Algebra. I wish I had this when I was a kid – it really makes Algebra as easy as Arithmetic – Giovanni Tapang, Ph. D., Dean, College of Science, University of the Philippines - Diliman
Algebra Made Easy Arithmetic is a terrific book that offers something for everyone…I can recommend this book to all Algebra students and their teachers as well. – Dr. Annette Lagman, UP System IT Consultant and former Math and Computer Science Professor, James Madison University and Effat University
In general, it is a good resource for teachers specially for coaches of learners who join different Math competitions. This book can also help regular teachers to show their learners that Math is not hard to understand and learn. The book can really improve the performance of the learners specially in Algebra. – Dr. Severa Salamat, EPS Mathematics, Division of Sta. Rosa City
Inspirational Maths from India
Author: IAVM, 2018
Paperback, 136 pages
Publisher: Math-Inic
Institute for the Advancement of Vedic Mathematics
ISBN 978-621-95554 – 3 -2
Available at https://www.instavm.org/
In the Philippines: https://www.facebook.com/MATHInicPhils
Chapter 1 Subtraction using All from 9 and the last from 10 11
Chapter 2 Strategies (Special Case Multiplication) 17
Chapter 3 Multiplication using a Base - 1 22
Chapter 4 Base Division 30
Chapter 5 Divisibility 34
Chapter 6 Simple Proportion — Doubling and Halving 41
Chapter 7 Vertically and Crosswise Multiplication - 1 47
Chapter 8 Digital Roots 52
Chapter 9 Numbers in Nature 59
Chapter 10 Mathematical Models 63
Chapter 11 Multiplication using a Base - 2 74
Chapter 12 Vertically and Crosswise Multiplication - 2 82
Chapter 13 Squaring 85
Chapter 14 Completing the Whole 94
Chapter 15 Addition and Subtraction of Dissimilar Fractions 100
Chapter 16 Cubes, Cube Roots and Binomial Theorem 104
Chapter 17 Algebraic Division and Power Series 109
Chapter 18 Recurring Decimals 113
Chapter 19 Using the Sum of the Coefficients in Factoring Polynomials 124
Chapter 20 Checking Arithmetic and Algebraic Calculations 130
The growing worldwide interest in Vedic mathematics, and the current surge in enthusiasm to have the system taught in schools, has prompted the IAVM to produce this teacher’s handbook. Inspirational Maths from India provides an introduction to Vedic Mathematics. It is divided into two sections, the first for primary teachers and the second for secondary of high school teachers. In each chapter you will find worked examples, where each step is carefully explained, explanations of how the methods work and practice exercises for you to gain ‘hands-on’ experience and so achieve familiarity.
Vedic Maths is concerned with a universal structure of mathematics revealed through a personal approach to problem-solving and other fields of human activity. There are sixteen sutras and a similar number of sub-sutras and these succinctly express naturally occurring mental processes by which mathematical problems can be solved with the least effort.
Vedic Maths does not advocate sole use of blanket methods through which students can reduce problems to merely mechanical responses to given stimuli. Instead, it encourages an intelligent and holistic approach - one that engenders reason and develops strategic thinking. There are general methods as well as special case methods. If you find a problem can be solved by an easier or different method from what is commonly taught then that is used as a valid method, even if the problem is solved just by inspection.
Vedic Mathematics: Success Mantras to excel in Mathematics
Author: P. Devaraj
Paperback, 147 pages
Publisher: P. Devaraj, Cosmic Maths
ISBN 978-93-5445 – 388 -5
Available at www.cosmicmaths.org
Session I
Origin - Who Invented Mathematics
The tale of Two Fish and a Frog
Zero
Swami Bharati Krishna
5 Reasons why students fail to perform in Maths
Session II
Best Friends
Subtraction
Vinculum
Digit Root
Multiplication
One more than the previous
Base Method
Working Base
Vertically and Crosswise
Squaring
Cubing
Division
Roots
Session III
A Locked down Success story
This book is useful for students of any age/grade:
If you want to speed up your calculations and score high especially in competitive exams.
Do maths with ease and love to pursue maths.
Parents who want to support especially those who do homeschooling of their children & Teachers who want to make maths classes interesting.
Musicians compose great music with few notes, like that with few sutras of Vedic mathematics you can solve tedious problems too.
You can read and learn this book like you read and enjoy a story book.
Ignite Math, Pre Primary, Tier1, Tier2, Tier3, Tier4, Tier5
Author: Muthuselvi Prabhu
Publisher: Self published
Pre Primary
Paperback: 211 pages
ISBN: 978-93-5768-784-3
Tier 1
Paperback: 224 pages
ISBN: 978-93-5620-418-8
Tier 2
Paperback: 231 pages
ISBN: 978-93-5636-342-7
Tier 3
Paperback: 253 pages
ISBN: 978-93-5680-569-9
Tier 4
Paperback: 351 pages
ISBN: 978-93-5813-103-1
Tier 5
Paperback: 337 pages
ISBN: 978-93-5813-360-8
Contact: ignitemath2021@gmail.com
Contents
TIER 1
Page
NUMBERS 1 TO 10
Digits 1
Predecessor 1
Successor 2
Between numbers 3
Compare 4
Smaller number 6
Bigger number 7
Increasing order 8
Decreasing order 9
Assessment I 11
ADDITION
Addition using strokes 12
Addition using fingers 14
Addition rule for zero 15
Pairs 16
Addition using pairs 17
Doubling 18
Assessment II 19
SUBTRACTION
Subtraction using strokes 20
Subtraction using fingers 22
Subtraction rules for zero and itself 23
Subtraction from 10 24
Missing operator 25
Solve and compare 26
Odd or even 27
Solve and write odd or even 28
Assessment III 29
NUMBERS 1 TO 20
Predecessor 30
Successor 31
Between numbers 32
Compare 33
Smaller number 34
Bigger number 35
Increasing order 36
Decreasing order 37
Assessment IV 39
ADDITION
Addition using fingers 40
Addition of 2 digit with single digit number 41
Addition of 10 and a single digit number 42
Missing number 43
Addition of 9 and a single digit number 44
Addition using pairs 45
Missing pairs 46
Addition of more than 2 numbers 47
Addition of more than 2 numbers with pairs 49
Doubling 50
Assessment V 51
SUBTRACTION
Subtract single digit number from 2 digit number 52
Subtract 10 53
Subtract from 20 54
Missing operator 55
Solve and compare 56
Odd or even 57
Solve and write odd or even 58
Assessment VI 59
NUMBERS 1 TO 50
Predecessor 60
Successor 61
Between numbers 62
Compare 63
Increasing order 65
Decreasing order 66
Forward skip counting by 10s 67
Backward skip counting by 10s 68
Assessment VII 69
ADDITION
Addition of 2 digit with single digit number 70
Add to 10s 71
Missing tens or single digit number 72
Add 10 73
Add 9 73
Add 20 75
Add 19 75
Addition using pairs 76
Addition using pairs - more than 2 numbers 77
Assessment VIII 79
SUBTRACTION
Subtract single digit number from 2 digit number 80
Subtract 10 81
Subtract 20 82
Subtract from tens using pairs 82
Addition and subtraction rules 83
Missing Operator 84
Solve and compare 86
Solve and write odd or even 87
Assessment IX 89
NUMBERS 1 TO 100
Predecessor and successor 90
Between numbers 91
Compare 92
Increasing order 93
Decreasing order 94
Place value 95
Expanded form 97
Standard form 98
Forward skip counting by 10s 100
Backward skip counting by 10s 101
Skip counting by 5s 102
Assessment X 104
ADDITION
Addition of 2 digit with single digit number 105
Add single digit to tens 106
Missing tens or single digit number 106
Addition using pairs 108
Missing pairs 109
Add to 10s 110
Add 9 and 19 112
Add 29 and 39 113
Addition of more than 2 numbers 114
Assessment XI 115
SUBTRACTION
Subtract single digit number from 2 digit number 116
Subtract from tens using pairs 118
Same units 119
Subtract 10s 120
Addition and subtraction rules 121
Addition and subtraction 122
Missing operator 124
Solve and compare 124
Assessment XII 126
SHAPES AND FRACTIONS
2D shapes 128
Sides and vertices in 2D shape 130
3D shapes 132
Draw and divide 137
Draw, divide and shade 139
Fractions 140
Fraction representation 142
Assessment XIII 143
MEASUREMENT
Time 145
Length 147
Money 148
Assessment XIV 149
ASSIGNMENT
NUMBERS 1 TO 10 151 to 155
ADDITION 156 to 159
SUBTRACTION 159 to 164
NUMBERS 1 TO 20 164 to 168
ADDITION 169 to 174
SUBTRACTION 174 to 178
NUMBERS 1 TO 50 178 to 183
ADDITION 184 to 188
SUBTRACTION 188 to 193
NUMBERS 1 TO 100 194 to 202
ADDITION 203 to 207
SUBTRACTION 207 to 212
SHAPES AND FRACTIONS 213 to 221
MEASUREMENT 222 to 223
TIER 2
Page
NUMBERS 1 TO 200
Numbers from 1 to 200 1
Predecessor and successor 2
Compare 3
Increasing order 4
Decreasing order 5
Place value 6
Expanded form 7
Standard form 8
odd numbers from 1 to 200 9
even numbers from 1 to 200 10
Skip count by 5s 11
Skip count by 10s 11
Nearest 10s 11
Assessment I 13
ADDITION
Add to single digit number - sum of units < 10 15
Add to single digit number - pairs in units place 17
Splitting - Single digit addition 18
2 digit and single digit addition using splitting 20
3 digit and single digit addition using splitting 21
Assessment II 23
Add to 100 23
Addition of 3 digit tens to single digit number 25
Addition of 2 digit tens using splitting 26
Addition of 3 digit and 2 digit tens using splitting 27
Add to tens 29
Assessment III 30
Addition of 2 ditit number ending with 9 31
Addition of 2 digit number ending with 8 33
Pairs in units place 35
Assessment IV 36
Addition of two numbers without carry 37
Addition of 2 numbers with carry 39
More than 2 numbers with pairs 41
More than 2 numbers without pair 44
Doubling 45
Doubling of 0s and 5s 46
Assessment V 48
SUBTRACTION
Subtract single digit from 2 digit number (greater units) 50
Subtract single digit from 3 digit tens 52
Subtract single digit from 3 digit with same units 53
Subtraction using splitting 54
Assessment VI 57
Subtract tens from tens 57
Subtract 2 digit tens from 2 digit or 3 digit number 59
Subtract 9 61
Subtract 19 62
Assessment VII 64
Subtract 2 digit number without giving 64
Same units 66
Subtract 2 digit number with giving 67
Assessment VIII 69
Subtract single digit from 100 70
Subtract tens from 100 and 200 71
Subtract 2 digit number from 100 73
Subtract 2 digit number from 200 75
Subtract 3 digit number from 200 76
Assessment IX 77
Addition and subtraction 78
Missing augend or addend 79
Missing subtrahend 81
Missing minuend 83
Missing operator 84
Odd or even 85
Compare 86
Assessment X 88
MULTIPLICATION
Repeated Addition 89
Tables - 2, 5 and 10 90
Multiply by 1 and 0 92
Tables for 10, 20, 50 and 100 93
Assessment XI 95
Multiply by 2 using doubling 96
Multiply by 10 using special method 97
Multiply by 5 98
Multiply by 20 using doubling 99
Multiply by 50 100
Assessment XII 102
DIVISION
Single digit quotient without remainder 102
Single digit quotient with remainder 104
Dividend smaller than the divisor 106
Division rules 106
Division without remainder 108
Division with remainder 111
Assessment XIII 113
Missing multiplicand or multiplier 114
Missing dividend 115
Missing operator 117
Assignment XIV 119
Multiple of 2 or divisibility check for 2 120
Multiple of 5 or divisibility check for 5 121
Multiple of 10 or divisibility check for 10 123
Factors 125
Missing units 126
Common Multiples 129
Assignment XV 130
PATTERNS
Increasing pattern 131
Decreasing pattern 133
Type of pattern 135
Assessment XVI 136
FRACTIONS
Numerator and Denominator 137
Fraction from shape 138
Fraction representation 139
Unit fraction representation 141
Unit Fraction 142
Assessment XVII 143
SHAPES
SHAPES 144
Name of polygons 145
2D Shapes 148
3D Shapes 149
Assessment XVIII 151
MEASUREMENT
Measurement 152
Measurement addition 154
Measurement subtraction 155
Conversion 157
Perimeter 159
Assessment XIX 161
ASSIGNMENT
NUMBERS 1 TO 200 163 to 169
ADDITION 169 to 181
SUBTRACTION 182 to 196
MULTIPLICATION 197 to 204
DIVISION 204 to 215
PATTERNS 216 to 217
FRACTIONS 218 to 222
SHAPES 222 to 226
MEASUREMENT 227 to 230
TIER 3
NUMBERS FROM 1 TO 1000
Predecessor, successor or between numbers 1
Increasing and decreasing order 2
Place value 3
Expanded form 4
Standard form 5
Number of units, tens and hundreds 6
Odd or even 7
Forward skip counting 8
Backward skip counting 9
Round off to the nearest 10s 11
Round off to the nearest 100s 11
Assessment I 12
ADDITION
Addition of two 3 digit number (without carryover) 15
Addition of two 3 digit number with carry 15
Sum of 9 17
Addition of 3 digit and 2digit number 19
Assessment II 20
Base number addition 21
Add to base number 22
Below base addition 23
Above base addition 24
Column addition 26
Doubling 27
Assessment III 29
SUBTRACTION
Subtract 3 digit number without giving 30
Subtract 3 digit number with giving 31
3 digit subtraction with same digits in between 32
Subtract 2 digit number from 3 digit number 34
Base number subtraction 35
Subtract base number 36
Below base subtraction 37
Above base subtraction 38
Assessment IV 39
Subtract 3 digit number from 1000 41
Subtract 2 digit or single digit number from 1000 43
Subtract from different hundreds 45
Subtract 3 digit number from hundreds 47
Assessment V 49
Mixed operation 49
Missing augend or addend 50
Missing subtrahend 51
Missing minuend 52
By observation (units place) 53
Assessment VI 55
MULTIPLICATION
Single digit multiplication 57
Multiply by 10s 57
Single digit multiplier 59
Multiply to tens 60
2 digit by 2 digit multiplication using vertically and crosswise 61
Multiply by 11 64
Multiply by 99 65
Assessment VII 67
DIVISION
Single digit quotient without remainder 67
Single digit quotient with remainder 68
Divide by single digit divisor 69
Divide by 10s 74
Assessment VIII 76
Missing digit in multiplication 77
Missing multiplicand or multiplier 79
Missing divisor 80
Missing dividend 81
Mixed operation 84
Mixed operation with brackets 86
By observation 88
Assessment IX 90
INTEGERS
Classification of numbers 91
Integer comparison 94
Arrange integers 95
VINCULUM
Integer to vinculum conversion 97
Vinculum to integer conversion 98
Compare 99
Arrange integers and vinculum 100
Assessment X 102
SQUARE
Square of a number 102
Square of numbers ending with zero 105
Square of numbers ending with 5 105
Assessment XI 106
DOUBLING AND HALVING
Doubling 107
Doubling in multiplication 107
Multiply by 4 using doubling 108
Halving 111
Halving in division 111
Divide by 4 using halving 113
Assessment XII 116
DIVISIBILITY CHECK AND FACTORS
Digit sum 117
Divisibility check for 3 118
Divisibility check for 6 119
Divisibility check for 9 120
Missing digit 121
Factors 124
Least common multiple (LCM) 125
Assessment XIII 127
FRACTIONS
Proper and improper fractions 128
Like and unlike fractions 130
Unit fraction and whole 131
Odd one out 131
Equivalent fractions 132
Fraction simplification 133
Compare like fractions 135
Arranging fractions 135
Like fraction addition 138
Subtract like fraction 139
Mixed operation in like fractions 140
Assessment XIV 142
MEASUREMENT
Conversion 144
Metric to milli units 145
Kilo units to metric units 145
Time 146
Yards, feet and inches 148
Compare 150
Measurement addition and subtraction 151
Assessment XV 155
Perimeter of 2D shapes 156
Missing side in 2D shapes 158
Square 160
Rectangle 163
Missing side in rectangle 165
Assessment XVI 166
GEOMETRY
Point, line, line segment and ray 168
Angles 169
PATTERN 171
ASSIGNMENT
NUMBERS FROM 1 TO 1000 174 to 178
ADDITION 178 to 184
SUBTRACTION 184 to 192
MULTIPLICATION 192 to 197
DIVISION 197 to 212
INTEGERS 212 to 214
VINCULUM 214 to 216
SQUARE 217 to 219
DOUBLING AND HALVING 219 to 224
DIVISIBILITY CHECK AND FACTORS 225 to 230
FRACTIONS 230 to 237
MEASUREMENT 237 to 250
GEOMETRY 250 to 251
PATTERN 251 to 252
Numbers are universal language accepted all over the world. These
books are based on Ancient Indian Mathematics called Vedic Math. Tier
1 is suitable for kids of 6+ years followed by Tier 2 and Tier 3. It includes
general methods and special methods. Special methods are shortcuts
which can be used to get the answer just by observation.
Calculation is the “Heart of Mathematics.” Methods from Vedic
Math helps to increase speed, accuracy, and most of the methods
can be done in our mind. The methods in these books help to improve
mind calculations by activating both sides of our brain. It develops
linear thinking and lateral thinking. Overall, Vedic Math methods
help to improve brain computation.