VedicMind — Learn Math 10× Faster
> Vedic Mathematics: 16 ancient sutras that turn long arithmetic into 2-step mental shortcuts. A complete 50-lesson curriculum spanning Grades 4 through SAT/GRE/Olympiad, plus printable PDF workbooks.
VedicMind teaches mental math through the sixteen sutras of Vedic Mathematics — compact Sanskrit rules that collapse multi-step calculations into pattern-recognition. Students typically improve calculation speed 60–80% after Level 1 at 20 minutes/day for 4 weeks.
The platform offers four learning levels (50 lessons total), printable PDF workbooks, an AI Coach that gives Socratic hints during practice, spaced-repetition review, and timed speed drills. Free Level-1 access requires no signup; full access is via lifetime (
49.99), annual, or monthly plans.
Why Vedic Math
- The sutras are ~3,000 years old. Schools never adopted them because 19th-century Western math education standardised on one algorithm per operation.
- The sutras aren't tricks — they're patterns built into the number system itself. The same truths Western math encodes in algebra, expressed for mental application.
- "Math made easy" doesn't mean dumbed down — it removes procedure overhead so the brain focuses on reasoning instead of step-following.
The 16 sutras
- Ekadhikena Purvena (e · ka · dhi · ke · na pur · ve · na) — By one more than the previous one. Square any number ending in 5 in two seconds. Multiply two numbers whose last digits sum to 10 in one step. The "previous one" is the digit right before the final 5; you add one to it and multiply.
- Nikhilam Sutra (nik · hi · lam) — All from nine and the last from ten. Multiply two numbers that are both close to a round number like 100 or 1000 — without long multiplication. Measure how far each one falls short of the round number; use those two shortages to build the answer in one step.
- Urdhva-Tiryagbhyam (urd · hva tir · yag · bhyam) — Vertically and crosswise. Multiply ANY two numbers — any size, any digits — using one steady pattern. This is the general-purpose Vedic multiplication method. The same pattern also extends to polynomial multiplication and to squaring (the "Duplex" method).
- Paravartya Yojayet (pa · ra · var · tya yo · ja · yet) — Transpose and apply. Divide one polynomial by another — or one big number by another — without trial and error. Standard long division makes you guess what the next digit of the answer should be. Paravartya replaces the guess with a mechanical pattern: flip the sign of the divisor's tail digits, and apply.
- Shunyam Samyasamuccaye (shun · yam sam · ya · sa · muc · ca · ye) — When the sum is the same, that sum is zero. Spot equations that look hard but secretly contain a repeated piece on both sides. Once you spot it, the equation collapses to something you can solve in your head.
- Anurupye Shunyamanyat (a · nu · rup · ye shun · yam · an · yat) — If one is in ratio, the other is zero. A shortcut for systems of equations. A coefficient is the number sitting in front of a letter (the 2 in 2x). A constant is a plain number on the right side (the 4 in "= 4"). If the coefficients in front of x match — at the same ratio — as the constants, then y must equal zero. The system solves in one line.
- Sankalana-Vyavakalanabhyam (san · ka · la · na vya · va · ka · la · na · bhyam) — By addition and by subtraction. Solve a pair of equations by adding them together to wipe out one variable, and subtracting them to wipe out the other. No substitution needed.
- Puranapuranabhyam (pu · ra · na · pu · ra · na · bhyam) — By the completion or non-completion. Turn a messy equation with an x² term (a quadratic) into a perfect square — an expression like (x + something)² — by adding exactly the right amount to both sides. Once it's a perfect square, you take a square root and the answer pops out. This is the trick behind the "quadratic formula" you may see later — same idea, applied generally.
- Chalana-Kalanabhyam (cha · la · na ka · la · na · bhyam) — Differences and similarities. Find how fast something changes — speed, slope, steepness — at any single moment. When a height or distance depends on time as t² or t³, the small number 2 or 3 sitting up high is called the "power". The Vedic rule: bring the power down to the front, and lower it by one. The Western name for the same idea is "differentiation".
- Yavadunam (ya · va · du · nam) — Whatever the extent of its deficiency. Square a number that's close to a round base — like 97 or 998 — in two steps, by measuring how far short it falls. The corollary upa-sutra spells out the second step: reduce by that shortage, and square the shortage itself.
- Vyashtisamashtih (vya · sh · ti · sa · mash · tih) — Specific and general. Break a hard problem into easy parts — and combine easy parts into a hard answer. Whichever direction makes the math simpler. This is the principle behind splitting a number for mental multiplication.
- Shesanyankena Charamena (she · san · yan · ke · na cha · ra · me · na) — The remainders by the last digit. Find the decimal form of fractions like 1/7 or 1/19 without dividing — the repeating pattern writes itself out, one digit at a time, using each remainder as the next key.
- Sopantyadvayamantyam (so · pan · tya · dva · ya · man · tyam) — The ultimate and twice the penultimate. In plain English: the last term, and twice the second-to-last term. Spot the rule behind a sequence of numbers, when each new number is built from the previous one — so you can predict the next number without writing them all out.
- Ekanyunena Purvena (e · ka · nyū · ne · na pūr · ve · na) — By one less than the previous one. Multiply by 9, 99, 999 — any number made entirely of nines — in two steps. The left half of the answer is one less than your number. The right half completes from 9.
- Gunitasamuchyah (gu · ni · ta · sa · mu · cha · yah) — The product of the sum is equal to the sum of the products. A polynomial factor-check. After you factor an expression, plug x = 1 into both the original AND the factored form. If both give the same number, the factoring is correct. If they differ, there's an error — and you found it without multiplying the factors back out.
- Gunakasamuchyah (gu · na · ka · sa · mu · cha · yah) — The factors of the sum are equal to the sum of the factors. A second polynomial factor-check, paired with Sutra #15. Same plug-in trick — set x = 1, compare the two sides — used as a one-second self-check after any factoring step. If the factored form gives a different answer, you have a sign or coefficient error to hunt down.
- Anurupyena (a · nu · rup · ye · na) — Proportionately. Use when numbers sit near a convenient round multiple — a "sub-base" like 50 or 200 — rather than a direct power of 10. Pick the sub-base, measure each number's gap from it, then scale the result by the sub-base's ratio to 100.
- Lopana Sthapanabhyam (lo · pa · na stha · pa · na · bhyam) — By alternate elimination and retention. Find the HCF (highest common factor) of two polynomials without grinding through long polynomial division. Drop one variable, find the factor, then put the variable back.
- Yavadunam Tavadunikritya Varganca Yojayet (ya · va · du · nam ta · va · du · nī · krit · ya var · gañ · ca yo · ja · yet) — Reduce by the deficiency, and set up the square of the deficiency. The corollary that elaborates the main sutra Yavadunam (#10). It gives the full two-part recipe for squaring a number close to a round base: (1) reduce by the deficiency, (2) square the deficiency, (3) join them.
- Antyayordasakepi (an · tya · yor · da · sa · ke · pi) — When the last digits sum to 10. When two numbers share the same leading digits and their unit digits add to exactly 10, the answer has two clean parts. Left part: multiply the leading digit by one more than itself. Right part: multiply the unit digits.
- Vestanam (ve · sta · nam) — Osculation. Test whether a big number is divisible by a prime like 7, 13, or 17 in seconds. Each prime has its own "key number"; you combine the last digit of your number with the rest using that key, and shrink the number step by step until it's small enough to check by inspection.
- Vinculum (Bar Notation) (vin · cu · lum) — Negative digit representation (notation, not a Tirthaji sutra). A bar over a digit means the digit is negative. So 4̄ (read: "bar 4") = −4. This lets you rewrite a number with big digits like 9 as a number with only small digits like 1 — which means fewer carries to track when multiplying mentally.
- General Vedic Techniques (ved · ik) — Patterns rooted in Vedic mathematics. A category for techniques that draw on Vedic mental-math patterns broadly — left-to-right arithmetic, rounding-and-compensating, digit-sum checks — without being literal translations of a single named sutra. Used by lessons whose method is a general principle rather than a specific Sanskrit formula.
Curriculum — 50 lessons across 4 levels
Level 1 — The Apprentice (Grades 4–6)
- Introduction to Vedic Math (`l1-intro-vedic-math`)
- Left-to-Right Mental Addition (`l1-left-right-addition`)
- Mental Subtraction — Left to Right (`l1-mental-subtraction`)
- Multiplying Any Number by 11 (`l1-multiply-11`)
- Multiplying by 5, 25, and 50 (`l1-multiply-5-25-50`)
- Table Mastery: Multiplying 6 through 9 (`l1-table-mastery-6-9`)
- Teen × Teen Speed Method (Both Numbers 11–19) (`l1-teen-multiplication`)
- Multiplying by 12 to 20 — Decomposition (`l1-table-mastery-11-20`)
- Subtracting from a Base (Nikhilam) (`l1-base-subtraction`)
- Near-Base Multiplication (Nikhilam) (`l1-nikhilam`)
- Squaring Numbers Ending in 5 (`l1-ekadhikena-squares`)
- Digit Sums & Casting Out 9s (`l1-digit-sums`)
Level 2 — The Practitioner (Grades 7–9)
- Multiplication Near Sub-Bases (Anurupyena) (`l2-anurupyena`)
- Squaring Any 2-Digit Number (`l2-squaring-2digit`)
- Vedic Division — By 9 and By 11 (`l2-paravartya`)
- Percentage Calculations in Seconds (`l2-percentage`)
- Multiplying by 9, 99, 18, and 45 (`l2-complement-multiply`)
- Duplex Method for Squaring (`l2-duplex`)
- Vedic Long Division (Dhvajanka) (`l2-long-division`)
- General Multiplication — Urdhva-Tiryagbhyam (`l2-urdhva`)
- Multiplying Numbers Whose Last Digits Sum to 10 (`l2-antyayor`)
- Squaring Near a Base (Yavadunam) (`l2-yavadunam`)
- Vinculum Numbers — Negative Digit Arithmetic (`l2-vinculum`)
- Square Roots of Perfect Squares (`l2-square-roots-intro`)
- Divisibility Tests — Vestanam (Osculation) (`l2-vestanam`)
Level 3 — The Analyst (Grades 10–12)
- Algebraic Shortcuts (Shunyam) (`l3-shunyam`)
- Linear Equations by Proportion (Anurupye) (`l3-anurupye`)
- Simultaneous Equations (Sankalana) (`l3-sankalana`)
- Square Roots of Perfect Squares (Extended) (`l3-square-roots`)
- Cube Roots of Perfect Cubes (`l3-cube-roots`)
- Calendrical Calculations — Day of Any Date (`l3-calendrical`)
- Recurring Decimals — Fractions as Repeating Patterns (`l3-recurring`)
- HCF of Polynomials — Lopana Sthapanabhyam (`l3-lopana`)
- Completing the Square — Puranapuranabhyam (`l3-purana`)
- Factoring Polynomials — Vyashtisamashti (`l3-vyashtisamashti`)
- Trigonometry with Vedic Patterns (`l3-trig`)
- Algebraic Series — Sopantyadvayamantyam (`l3-sopantya`)
Level 4 — The Strategist (SAT · GRE · Olympiad)
- SAT Speed Strategies (`l4-sat-speed`)
- GRE Quantitative Speed Strategies (`l4-gre-speed`)
- Vedic Number Theory (`l4-number-theory`)
- Cross-Multiplication and Ratios (`l4-proportion`)
- Olympiad Mental Math Patterns (`l4-olympiad`)
- Multiplying by 9, 99, 999… — Ekanyunena Purvena (`l4-ekanyunena`)
- Completing the Square — Puranapuranabhyam (`l4-purana`)
- Sequences & Series — Vedic Speed Methods (`l4-sequences`)
- Polynomial Verification — Gunitasamuchyah (`l4-gunitasamuchyah`)
- Rates & Approximation — Chalana-Kalanabhyam (`l4-chalana`)
- Coordinate Geometry Speed Methods (`l4-coordinate-geometry`)
- Probability & Combinatorics Speed Patterns (`l4-probability`)
- Advanced Trigonometry — Vedic Speed Strategies (`l4-advanced-trig`)
PDF workbooks (printable, instant download)
- [Complete Workbook](https://thevedicmind.com/buy/complete-workbook) — 9.99. Every Vedic Math technique, every level, in one printable workbook. 50 lessons, 772 practice problems, full answer keys.
- [Level 1 Workbook](https://thevedicmind.com/buy/level/1) — $9.99. Foundations (Grades 4–6). 12 lessons covering left-to-right mental math, multiply-by-11, Nikhilam, tables 6–9, squaring numbers ending in 5.
- [Level 2 Workbook](https://thevedicmind.com/buy/level/2) — $9.99. Intermediate (Grades 7–9). 13 lessons covering Urdhva-Tiryagbhyam, Paravartya, vinculum numbers, Vedic divisibility tests, percentages.
- [Level 3 Workbook](https://thevedicmind.com/buy/level/3) — $9.99. Advanced (Grades 10–12). 12 lessons: cube roots, algebraic sutras, polynomial methods, calendrical calculations, trigonometry.
- [Level 4 Workbook](https://thevedicmind.com/buy/level/4) — $9.99. Competitive (SAT, GRE, Olympiad). 13 lessons across calculus bridge, exam-track methods, probability, combinatorics.
- [Sutra Cheat Sheet](https://thevedicmind.com/buy/sutra-cheatsheet) — $9.99. All 16 sutras with Sanskrit names, pronunciation, English meaning, and a worked example each. 2 print-ready pages.
- [ACT Math Speed Guide](https://thevedicmind.com/buy/exam-guide/act) — $9.99. 12 Vedic shortcuts mapped to ACT Math — timing strategy, worked examples, 24 ACT-style practice problems with answers.
- [CAT QA Speed Guide](https://thevedicmind.com/buy/exam-guide/cat) — $9.99. 12 shortcuts for CAT Quant — arithmetic, algebra, number systems. Speed comparisons + exam-pattern practice sets.
- [11-Plus Mental Math Guide](https://thevedicmind.com/buy/exam-guide/11plus) — $9.99. 12 techniques for 11-Plus Maths — number, algebra, shape. Worked examples + exam-style problems with answer key.
Plans
- Free tier — Level 1 (12 lessons), no signup required.
- Monthly — $9.99/mo. Full access to all 4 levels, AI Coach, Speed Drills, Spaced Repetition Review.
- Annual — $79.99/yr (14-day free trial). Same access as Monthly. Best for one full year of guided learning.
- Lifetime — 49.99 once. Full access forever, no recurring billing. Also includes the Complete Workbook PDF as a bonus during the 5-day post-signup window.
Key pages
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- [Try a free lesson](https://thevedicmind.com/try) — Free preview lessons
- [Blog](https://thevedicmind.com/blog) — Vedic math explainers, exam-prep guides
- [Buy the Complete Workbook](https://thevedicmind.com/buy/complete-workbook) — Print-ready PDF, all 4 levels
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