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Vedic Maths is an ancient system of Indian mathematics that uses simple mental calculation techniques to solve complex problems quickly and accurately. Derived from the Vedas, India’s oldest scriptures, it includes 16 influential sutras (formulas) that make arithmetic, algebra, and geometry easier to handle, especially without a calculator.
In today’s fast-paced exam environment, Vedic maths has become increasingly relevant. Whether you’re preparing for competitive exams like JEE, SSC, CAT, or banking exams, or want to improve your mental math skills at school, these techniques can dramatically boost your speed and confidence.
Here’s why Vedic Maths is gaining popularity:
Explore this guide to learn the tricks, understand the sutras, and discover how Vedic Maths can make you a more innovative and quicker problem solver.
Vedic Maths is a system of mathematics that originated from the ancient Indian scriptures called the Vedas, specifically the Atharva Veda. It was rediscovered in the early 20th century by Swami Bharati Krishna Tirthaji, who compiled 16 sutras (formulas) and 13 sub-sutras (corollaries) that form the core of this system.
Unlike conventional methods, Vedic mathematics uses logical and straightforward techniques to solve problems faster, often in a single line. It covers various mathematical areas, including arithmetic, algebra, geometry, trigonometry, and calculus.
The highlight of Vedic Maths lies in its:
Whether you’re calculating squares, cube roots, or solving complex equations, Vedic Maths provides intuitive, time-saving alternatives to traditional approaches.
The origin of Vedic Maths can be traced back to the Vedas, the ancient Indian texts composed over 3,000 years ago. The techniques are believed to be embedded in the Atharva Veda, one of the four Vedas that deal with daily life, including science and mathematics.
However, the system we recognize today as Vedic Mathematics was revived and reconstructed by Swami Bharati Krishna Tirthaji in the early 20th century. Between 1911 and 1918, he studied the Vedas and extracted 16 sutras (mathematical formulas) and 13 sub-sutras that he claimed were hidden in the texts.
He published his work in the book Vedic Mathematics in 1965 (posthumously), which influenced educators and mathematicians worldwide. Since then, the system has been promoted as a tool for improving mental math and mathematical intuition among students.
Today, Vedic Maths is not just a historical curiosity; it’s an effective alternative method for solving modern mathematical problems with speed and elegance.
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.
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
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
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 Estimation—Use 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
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.
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.
Vedic Maths offers more than just quick calculations; it transforms how students understand and approach mathematics. Simplifying complex problems into intuitive steps builds both speed and confidence. Here are the significant benefits of learning and using Vedic Maths:
Vedic methods significantly reduce the number of steps required to solve a problem. This can cut calculation time by 50–80%, making it ideal for time-bound exams like JEE, CAT, SSC, UPSC, and Banking exams.
Many Vedic techniques are performed mentally, helping students improve memory, concentration, and mental agility. This leads to better performance not just in math, but across other subjects too.
Students trained in Vedic maths can do large multiplications, divisions, and square roots without digital tools, giving them a strong edge during tests where calculators aren’t allowed.
Vedic Maths encourages students to think logically and creatively about numbers. Many sutras can be applied in multiple ways, helping learners find personalized approaches to problem-solving.
The simplicity and structure of Vedic techniques leave less room for manual errors, which are common in traditional long-step methods. This boosts accuracy, especially in competitive environments.
Students who previously feared math often gain newfound confidence through Vedic methods. The instant success they experience while solving problems quickly motivates them to engage more deeply with the subject.
While not part of most official curricula, Vedic Maths complements topics in Arithmetic, Algebra, Geometry, and even Trigonometry, making schoolwork easier and exam prep more effective.
While traditional mathematics focuses on standard, step-by-step procedures taught in schools, Vedic Maths introduces simplified, intuitive techniques that make calculations faster and easier. Here’s how they compare.
| Aspect | Vedic Maths | Traditional Maths |
|---|---|---|
| Speed | Very fast (mental shortcuts reduce steps) | Slower, especially in complex calculations |
| Complexity | Simple, one-line methods | Multi-step processes that can be lengthy |
| Learning Curve | Easy to pick up with practice | Requires rote learning and procedural memory |
| Mental Calculation | Strongly promotes mental math | Effective in arithmetic, algebra, and geometry |
| Error Rate | Lower due to reduced steps and logical flow | Higher risk due to long calculations |
| Creativity | Encourages flexible thinking and patterns | Rigid, structured methods |
| Exam Advantage | Useful in time-bound competitive exams | Often time-consuming under pressure |
| Coverage | Effective in arithmetic, algebra, geometry | Covers broader academic math, but slower |
| Student Confidence | Boosts confidence through instant results | May lead to math anxiety in weaker students |
A balanced approach, mastering core concepts traditionally and using Vedic tricks to boost speed, can provide the best results for students.
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.
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.
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.
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:
By integrating Vedic Maths sutras into their study routines, aspirants often report improvements in both speed and accuracy.
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.
Even basic Vedic Maths skills can help individuals make smarter and faster financial decisions.
Studies and anecdotal evidence show that regular practice of Vedic Maths can enhance:
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 is easy to learn, fun to apply, and incredibly useful for students, professionals, and exam aspirants. Whether you’re preparing for competitive exams like JEE, CAT, SSC, Banking, or UPSC, or want to improve your mental calculation speed, Vedic Maths offers a shortcut to success.
Vedic Maths is built on 16 Sutras and 13 Sub-sutras, or word-formulae, that can be applied to solve mathematical operations in seconds. Don’t try to learn them all at once. Start with the most commonly used ones like:
Several beginner-friendly books explain Vedic Maths with solved examples, practice questions, and concept clarity. Recommended titles include:
These books help you understand the logic behind each trick, not just memorize it.
YouTube and online platforms offer a treasure trove of free content. Visual learners can benefit greatly from seeing problems solved live.
Recommended YouTube channels:
Many apps are designed for students of all ages. They make learning on the go interactive and simple.
Daily application builds speed, retention, and confidence. Use Vedic techniques for:
If you’re looking for guided learning:
Practicing under time pressure is key, especially when preparing for competitive exams. Try:
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.
Also Read:
Vedic Math is based on 16 sutras (formulas) that simplify math problem-solving through quick and easy methods. Unlike traditional math, which relies on lengthy steps and memorization, Vedic Math emphasizes mental calculation and smart tricks, helping students grasp concepts faster and solve problems with greater speed, accuracy, and confidence.
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.
Vedic Maths is practical for IIT preparation as it enhances calculation speed, accuracy, and mental agility, which are crucial for solving complex problems quickly. While not a direct part of the IIT syllabus, its techniques can save valuable time in exams like JEE, especially in arithmetic, algebra, and quick approximation.
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.
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, Muskan Gupta
Content Curator
Muskan believes learning should feel like an adventure, not a chore. With years of experience in content creation and strategy, she specializes in educational topics, online earning opportunities, and general knowledge. She enjoys sharing her insights through blogs and articles that inform and inspire her readers. When she’s not writing, you’ll likely find her hopping between bookstores and bakeries, always in search of her next favorite read or treat.
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Chegg India does not ask for money to offer any opportunity with the company. We request you to be vigilant before sharing your personal and financial information with any third party. Beware of fraudulent activities claiming affiliation with our company and promising monetary rewards or benefits. Chegg India shall not be responsible for any losses resulting from such activities.
