Vedic Maths is built on 16 sutras (word-formulas) discovered in ancient Indian texts. They sound mysterious, but each one is just a clever pattern for solving sums faster. Here is what they actually mean, in plain language.
Why sutras matter
A sutra is a short rule that applies to many problems. Instead of memorising one method per question type, students learn a handful of flexible patterns — and suddenly maths feels less like work and more like a puzzle.
The 16 sutras, simply explained
- Ekadhikena Purvena — "By one more than the previous one." Used for squaring numbers ending in 5 (e.g., 35² = 1225).
- Nikhilam Navatashcaramam Dashatah — "All from 9 and the last from 10." Brilliant for multiplying numbers near 100.
- Urdhva-Tiryagbhyam — "Vertically and crosswise." The universal multiplication method.
- Paravartya Yojayet — "Transpose and adjust." Used in division and equations.
- Shunyam Saamyasamuccaye — "When the sum is the same, it is zero." Solves certain equations instantly.
- Anurupye Shunyamanyat — "If one is in ratio, the other is zero."
- Sankalana-Vyavakalanabhyam — "By addition and by subtraction."
- Puranapuranabyham — "By completion or non-completion."
- Chalana-Kalanabyham — "Differences and similarities."
- Yaavadunam — "Whatever the deficiency." Great for squaring numbers near a base.
- Vyashtisamanstih — "Part and whole."
- Shesanyankena Charamena — "The remainders by the last digit."
- Sopaantyadvayamantyam — "The ultimate and twice the penultimate."
- Ekanyunena Purvena — "By one less than the previous one."
- Gunitasamuchyah — "The product of the sum equals the sum of the products."
- Gunakasamuchyah — "The factors of the sum equal the sum of the factors."
Don't memorise — practise
Beginners often try to memorise all 16 names. That's the wrong approach. In our classes, students learn 2–3 sutras at a time through lots of examples until the pattern becomes automatic. The names follow naturally once the method clicks.
Frequently asked questions
Do I need to learn all 16 to benefit? No. Even the first three (especially Urdhva-Tiryagbhyam and Nikhilam) transform a student's calculation speed.
What age is right for Vedic sutras? Children from around age 10, or anyone preparing for competitive exams.
Start with the powerful three
If you're just beginning, focus on squaring numbers ending in 5, multiplying near 100, and crosswise multiplication. Those three alone will impress your maths teacher. Want guided practice? Book a free demo or check our Vedic Maths courses.
Priti Gupta
Founder & Lead Instructor
Priti Gupta is a certified abacus and Vedic Maths instructor with over a decade of experience training 5,000+ students across India. She is passionate about making mathematics accessible, enjoyable, and empowering for every child — regardless of their starting level. Through Priti Ganit Guru, she has helped thousands of young learners develop confidence, speed, and a genuine love for numbers.