Vedic Maths

The Power of Vedic Maths in Modern Learning

Published on May 29, 2025
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9 Min read time

Quick Summary

  • Vedic Maths, rooted in ancient Indian wisdom and revived by Swami Bharati Krishna Tirthaji, uses 16 sutras and 13 sub-sutras to simplify complex mathematical problems into fast, mental calculations.
  • It boosts speed, accuracy, and cognitive skills, making it ideal for competitive exams, academic success, and daily life tasks like budgeting and shopping.
  • Offering intuitive, tool-free techniques, Vedic Maths enhances mental agility, reduces math anxiety, and encourages a deeper, more enjoyable engagement with numbers.

Table of Contents

In today’s fast-paced academic world, the ability to perform mental calculations quickly and accurately has become an essential skill. Whether you’re preparing for competitive exams like UPSC, SSC, or CAT, or want to sharpen your brain, mastering mental math is a game-changer. This is where Vedic Maths steps in as a powerful ancient system that enhances computational speed and boosts confidence.

Rooted in ancient Indian wisdom, Vedic Math offers a unique blend of simplicity, speed, and elegance in solving complex mathematical problems. Unlike conventional methods, which often require multiple steps, Vedic Maths focuses on minimal effort and maximum output. Originating thousands of years ago, it remains highly relevant and practical in modern educational systems.

In this article, we’ll explore Vedic Maths, its 16 influential sutras, and learn how to apply Vedic Maths tricks for faster calculations. Whether you’re a student, parent, or curious learner, this guide will provide everything you need to start your journey into Vedic Mathematics.

vedic maths

What is Vedic Maths? – History, Meaning, and Core Concepts

Vedic Math is an ancient system of mathematical techniques rooted in the Vedas, India’s sacred texts, particularly the Atharvaveda. This unique approach to mathematics emphasizes mental calculation, simplicity, and speed. “Vedic” originates from the Sanskrit word Veda, which means “knowledge.” While the system has spiritual and philosophical origins, its application is efficient, making it a valuable tool in today’s fast-paced academic and competitive environments.

Origin and Etymology

The roots of Vedic Math lie in ancient Indian wisdom. Traditional Vedic literature, composed thousands of years ago, references mathematical concepts, although they were not formally structured like modern arithmetic. The idea behind Vedic Math is to understand math intuitively rather than relying on repetitive memorization. The emphasis is on holistic learning—grasping the logic behind numbers and patterns.

Rediscovery by Swami Bharati Krishna Tirthaji

The structured form of Vedic Maths that we know today was rediscovered by Swami Bharati Krishna Tirthaji Maharaj, a Hindu scholar, in the early 20th century. After deep meditation and study of the Vedas, he compiled 16 sutras (mathematical aphorisms) and 13 sub-sutras (corollaries), which he claimed were derived from the Atharvaveda. These sutras cover various mathematical operations, including arithmetic, algebra, geometry, and calculus. His seminal book, Vedic Mathematics, was published in 1965 and remains the cornerstone of the Vedic Maths system.

Core Philosophy of Vedic Maths

At its heart, Vedic Maths is based on three foundational principles:

  • Simplicity: Complex problems are solved with straightforward, often mental steps.
  • Speed: Reduces time-consuming calculations into fast, efficient methods.
  • Flexibility: Sutras can be adapted to solve multiple problems in various ways.

Scientific and Cognitive Benefits

Practicing Vedic Maths is known to enhance several cognitive abilities. It helps improve:

  • Memory retention
  • Logical and analytical thinking
  • Concentration and focus
  • Exam performance and problem-solving speed

Vedic Math is not just an academic tool—it’s a mental discipline that builds confidence, reduces math anxiety, and promotes a deeper understanding of numbers.

Vedic Maths Sutras: The 16 Sutras and Their Applications

Vedic Maths sutras are the backbone of the Vedic Mathematics system. These concise, intuitive formulas are derived from ancient Indian scriptures and act as mental shortcuts, simplifying complex mathematical operations. From basic arithmetic to advanced algebra and geometry, Vedic Maths sutras provide a structured yet flexible approach to problem-solving.

What Are Vedic Maths Sutras?

In Sanskrit, the word “sutra” means a thread or formula. In the context of Vedic Maths, sutras are short, pithy aphorisms that encapsulate deep mathematical principles. Their brevity hides their versatility—each sutra can be applied across various mathematical problems. This ability to solve equations mentally and quickly makes Vedic Maths highly valuable for students preparing for competitive exams or anyone who wants to sharpen their mental agility.

The 16 Main Vedic Maths Sutras (with English Translations)

Vedic Maths Sutras
  1. Ekadhikena Purvena – By one more than the previous one
  2. Nikhilam Navatashcaramam Dashatah – All from 9 and the last from 10
  3. Urdhva-Tiryagbhyam – Vertically and crosswise
  4. Paravartya Yojayet – Transpose and adjust
  5. Shunyam Saamyasamuccaye – When the sum is the same, the sum is zero
  6. Anurupyena – Proportionately
  7. Sankalana-vyavakalanabhyam – By addition and by subtraction
  8. Puranapuranabhyam – By the completion or non-completion
  9. Chalana-Kalanabhyam – Differences and similarities
  10. Yaavadunam – Whatever the extent of its deficiency
  11. Vyashtisamanstih – Part and whole
  12. Shesanyankena Charamena – The remainders by the last digit
  13. Sopantyadvayamantyam – The ultimate and twice the penultimate
  14. Ekanyunena Purvena – By one less than the previous one
  15. Gunitasamuchyah – The product of the sum is equal to the sum of the product
  16. Gunakasamuchyah – The factors of the sum is equal to the sum of the factors

Examples of Key Sutras in Action

  • Nikhilam Navatashcaramam Dashatah is ideal for multiplying numbers close to powers of 10. For example, 98 × 97 can be solved mentally using complements and simple subtraction.
  • Urdhva-Tiryagbhyam, the vertical and crosswise method, offers a general solution for multiplication that works for all types of numbers.

Sutras as the Foundation for Vedic Maths Tricks

Each Vedic Maths trick practically applies one or more sutras, the core formulas that simplify complex calculations. These sutras are more than shortcuts—they encourage flexible and creative thinking while significantly enhancing mental computation skills. By mastering these sutras, students improve their speed and accuracy and build confidence in handling various mathematical problems. This approach transforms how learners engage with math, making problem-solving more intuitive, efficient, and enjoyable.

Vedic Maths Tricks for Faster Calculation

The real magic of Vedic Math lies in its wide range of mental math tricks, designed to simplify calculations and significantly boost speed. These tricks help students, exam aspirants, and professionals solve complex problems in seconds. They make math fun, intuitive, and incredibly efficient, whether it’s addition, multiplication, or algebra.

A. Addition and Subtraction Tricks

1. Left-to-Right Calculation– Unlike conventional methods that calculate from right to left, Vedic Math tricks encourage working from left to right, mimicking how we read numbers. This technique sharpens estimation skills and enhances number sense.

Example:
745 + 386 =
(700 + 300) + (40 + 80) + (5 + 6) = 1000 + 120 + 11 = 1131

2. Breaking and Bridging– Large numbers are split into parts that are easier to handle mentally. This trick uses rounding and then compensating for the difference.

Example:
987 + 456 = (900 + 400) + (80 + 50) + (7 + 6) = 1443

B. Multiplication Tricks

1. Multiplying by 11– Insert the sum of the digits between the original digits.

Example:
43 × 11 = 4 (4+3) 3 = 473

2. Multiplying by Numbers Close to 100 (Using Base Method)– Use the Nikhilam Sutra to subtract each number from the base (e.g., 100), cross-add, and multiply the differences.

Example:
97 × 96 →
Base = 100,
97 is 3 less, 96 is 4 less
Step 1: 97 – 4 = 93
Step 2: 3 × 4 = 12
Answer = 9312

3. Multiplying by 99, 101, etc.- Apply Urdhva-Tiryagbhyam (vertically and crosswise) for quick multiplication near base numbers.

Example:
103 × 104 =
(100 + 3)(100 + 4) = 100² + (3 + 4)×100 + 3×4 = 10000 + 700 + 12 = 10712

C. Squaring and Roots

1. Squaring Numbers Ending in 5– A classic Vedic maths trick for numbers ending in 5.

Example:
35² = 3 × (3 + 1) = 12, then append 25 → 1225

2. Square Roots EstimationUse the Anurupyena Sutra for proportional reasoning and to adjust the root of a nearby perfect square.

Example:
Estimate √52
√49 = 7 → Adjust upward to estimate 7.2

D. Division and Remainders

1. Simple Division Using Nikhilam– Transforms lengthy division into subtraction steps using complements of numbers.

Example:
1000 ÷ 9
Use base 10 complement and repeat subtraction to get 111…

2. Dividing by Prime Numbers -Use Shesanyankena Charamena (the remainder by the last digit) for quick remainder identification.

Example:
For 437 ÷ 7, work with the last digit and pattern recognition.

E. Algebraic Applications

1. Cross-Multiplication for Linear Equations– Solve equations like a/b = c/d using cross-multiplication quickly.

Example:
3/x = 6/8 → 3×8 = 6×x → x = 4

2. Factoring Polynomials– Apply the Sankalana-vyavakalanabhyam Sutra for factoring expressions using addition and subtraction patterns.

Example:
x² + 7x + 12 → Think of two numbers that add to 7 and multiply to 12 → (x + 3)(x + 4)

These Vedic Math tricks aren’t just shortcuts—they build mental discipline and foster deep mathematical intuition. With consistent practice, learners gain speed and develop confidence in tackling a wide range of math problems without relying on calculators.

Applications of Vedic Maths in Daily Life and Exams

Vedic Maths is much more than a traditional calculation method; it is a valuable life skill with wide-ranging benefits. Its core principles of speed, simplicity, and mental agility help learners perform calculations quickly and accurately without relying on calculators or pen and paper. This skill proves especially useful in academic exams, competitive tests, and real-life situations like budgeting or shopping. By improving mental math abilities, Vedic Maths enhances confidence, sharpens the mind, and supports faster, more intelligent decision-making.

Competitive Exams

In exams like CAT, UPSC, SSC, Bank PO, and GMAT, time is the most crucial asset. Every second saved on calculations can be invested in solving more questions or reviewing answers. This is where Vedic Maths tricks prove to be a game-changer:

  • Quick problem-solving: Techniques like left-to-right addition, base multiplication, and cross-multiplication enable faster answers in quantitative sections.
  • Minimized calculation errors: Vedic methods reduce the number of steps, lowering the chances of silly mistakes.
  • Effective time management: Candidates can complete sections quickly, giving them a competitive edge.

By integrating Vedic Maths sutras into their study routines, aspirants often report improvements in both speed and accuracy.

Real-Life Applications

Beyond the classroom or exam hall, Vedic Maths is incredibly useful in day-to-day activities. It empowers individuals to handle numbers confidently without relying on calculators or apps.

  • Shopping: Quickly calculate totals, discounts, and price comparisons mentally.
  • Banking and Budgeting: Estimate EMIs, interest, and savings without complex formulas.
  • Small Business Math: Manage inventory, pricing, and profit-loss assessments with swift mental calculations.

Even basic Vedic Maths skills can help individuals make smarter and faster financial decisions.

Brain Development and Cognitive Benefits

Studies and anecdotal evidence show that regular practice of Vedic Maths can enhance:

  • Mental clarity: Thinking becomes more structured and solution-oriented.
  • Pattern recognition: Identifying numeric relationships becomes intuitive.
  • Logical reasoning: Sutra-based problem-solving strengthens analytical thinking.

These cognitive benefits make Vedic Maths especially effective for children, students, and even professionals looking to sharpen their minds. In short, Vedic Maths is a relic of the past and a practical, dynamic tool that adds real value to modern life.

Vedic Maths vs Traditional Methods and Other Systems

Vedic Maths stands apart from conventional math systems by offering speed, flexibility, and mental clarity. Let’s compare it with traditional school math and other alternative learning methods to understand its value better.

Vedic Maths vs School Math

School math often emphasizes step-by-step procedures, memorization, and rigid formats. While these are essential for building foundational knowledge, they can sometimes slow problem-solving and create math anxiety.

On the other hand, Vedic Maths introduces intuitive techniques that simplify even complex operations. It promotes mental calculations and encourages multiple problem-solving methods, fostering creativity and deeper understanding.

Vedic Maths vs Abacus, Cuemath, and Mental Math

  • Abacus focuses primarily on arithmetic and requires external tools.
  • Cuemath blends logic, coding, and conceptual math with visual aids.
  • Mental Math enhances recall but often lacks structured techniques.

Vedic Maths combines the best offering structure (via sutras), mental processing (no tools needed), and versatility across algebra, arithmetic, and more.

Pros and Cons of Vedic Maths

ProsCons
Boosts speed and accuracyMay require unlearning old methods
Enhances memory and concentrationNot part of mainstream curriculum
Applicable in exams and real lifeLimited awareness among educators
Fun and engaging to learnRequires consistent practice

Vedic Maths complements traditional education by making math more straightforward and enjoyable, especially for students and exam aspirants.

How to Learn Vedic Maths – Resources, Books, and Courses

Learning Vedic Maths is easier today than ever, thanks to many books, online courses, and digital platforms catering to all age groups and skill levels.

Recommended Books

Start your journey with the classic “Vedic Mathematics” by Swami Bharati Krishna Tirthaji, the pioneer of this system. The book explains core Vedic Maths sutras and their applications in a structured format. For beginners and younger learners, books like “Vedic Mathematics Made Easy” by Dhaval Bathia or “The Power of Vedic Maths” by Atul Gupta are excellent options.

Best Online Courses

  • Free Options: Websites like Udemy, YouTube, and Vedantu offer beginner-level courses with practical examples.
  • Paid Programs: Platforms like Cuemath, Vedic Math India, and BYJU’S provide structured courses with certifications and expert guidance.

These courses are ideal for exam aspirants, educators, and parents who wish to support their children.

Age-Based Learning Paths

  • Kids (6–12 years): Focus on arithmetic, patterns, and fun tricks to build number sense.
  • Students (13–20 years): Learn algebra, geometry, and exam-relevant tricks for faster problem-solving.
  • Professionals: Use Vedic Maths for productivity, mental agility, and brain training.

Apps and Tutorials

Mobile apps like Vedic Maths Tricks, Maths Sutra, and Speed Maths help with daily practice. YouTube channels like Ganit Guru and Vedic Maths Forum India offer visual learning through real-time problem-solving sessions. With the right resources, anyone can unlock the speed and simplicity of Vedic Maths.

Conclusion: Why Vedic Maths Matters Today

Vedic Maths is more than a relic of ancient wisdom; it’s a modern-day superpower for anyone dealing with numbers. Rooted in the Atharvaveda and brought to light by Swami Bharati Krishna Tirthaji, this system blends simplicity with speed, offering a fresh and intuitive way to tackle even the toughest calculations.

Throughout this article, we explored Vedic Maths, uncovered its 16 sutras, and delved into practical Vedic Maths tricks that make learning math faster and more enjoyable. Whether you’re preparing for competitive exams, boosting your child’s academic performance, or just sharpening your mental skills, Vedic Maths offers practical and empowering tools. This ancient method proves more relevant than ever in a world where time and accuracy are everything.

Start your journey today, try a trick, read a sutra, or enroll in a course. Your mind will thank you.

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Frequently Asked Questions(FAQs)

What is Vedic maths method?

Vedic Math is an ancient Indian mathematical system rooted in the Vedas. It utilizes 16 Sutras to simplify and speed up calculations. It promotes mental math and offers efficient techniques for solving problems in arithmetic, algebra, and geometry.

What is taught in Vedic maths?

Vedic Maths is a system of fast calculation techniques based on 16 Sutras and 13 Sub-sutras. These methods offer simplified solutions for problems in arithmetic, algebra, geometry, calculus, and conics, enabling quicker and more efficient numerical computations.

What are the 5 rules of Vedic maths?

Vedic Maths follows five core principles: using 16 Sutras and 13 sub-sutras for simplified calculations, solving problems from left to right, encouraging mental computation, enabling quick estimations, and providing one-line solutions for speed. These methods make arithmetic, algebra, and geometry faster, more efficient, and mentally engaging.

Who is father of Vedic maths?

Swami Bharati Krishna Tirtha, known as the “Father of Vedic Maths,” was a Hindu monk and mathematician who revived and promoted ancient Indian mathematical methods from the Vedas, making them accessible and popular in modern times.

What are the 16 rules of Vedic maths?

The 16 rules of Vedic Maths are the core Sutras—short Sanskrit formulas like Ekadhikena Purvena and Urdhva-Tiryagbhyam—that simplify calculations. These Sutras cover addition, multiplication, division, and more, enabling faster mental math across arithmetic, algebra, geometry, and other mathematical areas.

Authored by, Amay Mathur | Senior Editor

Amay Mathur is a business news reporter at Chegg.com. He previously worked for PCMag, Business Insider, The Messenger, and ZDNET as a reporter and copyeditor. His areas of coverage encompass tech, business, strategy, finance, and even space. He is a Columbia University graduate.

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