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Select a Vedic Maths Topic
--- Choose a sutra or technique ---
Addition of single-digit and multi-digit numbers
Carry-over and borrowing techniques
Fast subtraction methods
Addition/subtraction using base numbers
Trachtenberg system tricks
Duplex method for special cases in arithmetic
Multiplication by 11, 12, 99, 101, etc.
Multiplying numbers close to base (Nikhilam)
Multiplying numbers just above or below base values
Urdhva-Tiryagbhyam (Vertically & Crosswise)
Duplex method for special cases in multiplication
Multiplication of two-digit and three-digit numbers
Multiplication of numbers ending in 5
Lopsided Multiplication
Ekadhikena Purvena (for numbers like 999...)
One-line multiplication techniques
Simple division tricks
Nikhilam Division
Paravartya Yojayet (Transpose and Apply)
Direct long division using Vedic shortcut
Straight division of polynomials
Dividing by single-digit and multi-digit numbers
Shuddha Bhajan (Clean division method)
Square of numbers ending in 5
Square of numbers close to 50, 100, etc.
Duplex method for squaring
Algebraic identities for squaring
Finding square roots using Vedic methods
Square root of perfect and imperfect squares
Cube of two-digit numbers
Cubes using algebraic identities
Fast cube methods (mental tricks)
Cube root of perfect cubes
Cube root using number pattern observation
Factorization of expressions
Solving linear and quadratic equations
Algebraic identities and their fast application
Multiplying algebraic expressions
Use of Sutras in algebra
Simple tricks for expansion
Division of polynomials
Prime numbers and co-primes
LCM and HCF using Vedic tricks
Digital root (digit sum)
Casting out 9s
Remainder tricks
Divisibility tests for all digits (2–19)
Special number patterns
Checking correctness using digit sum
Quick methods for ratio problems
Base method for percentages
Successive percentage increase/decrease
Profit, loss, and discount tricks
Simple Interest and Compound Interest
Successive discounts and mark-up price
Time and work shortcuts
Pipes and cisterns
Speed, time, and distance problems
Boat and stream tricks
Relative speed problems
Left to right addition
Backward subtraction
Estimation and approximation
Quick multiplication checks
Remainder shortcuts
Visual patterns for fast solving
Casting out nines for verification
Simplifying fractions
Decimal to fraction conversion and vice versa
Fraction multiplication using Vedic shortcuts
Recurring decimals conversion
Tricks for comparing fractions
Working with mixed numbers
Odd days method to find day of the week
Finding weekday for any given date
Angle between hands of a clock
Mirror image of clock times
Time gain/loss problems
Area and perimeter using Vedic multiplication
Geometry formula applications with shortcuts
Unit conversion tricks (cm to inch, etc.)
Fast calculation of angles and diagonals
Binary, Octal, and Decimal conversions
Positive/Negative signs rule
Even/odd product rules
Square/cube of even and odd numbers
Checking number nature: perfect square, cube, etc.
1. Ekadhikena Purvena
2. Nikhilam Navatashcaramam Dashatah
3. Urdhva-Tiryagbhyam
4. Paravartya Yojayet
5. Shunyam Saamyasamuccaye
6. Anurupye Shunyamanyat
7. Sankalana-Vyavakalanabhyam
8. Puranapuranabhyam
9. Chalana-Kalanabhyam
10. Yaavadunam
11. Vyashtisamanstih
12. Shesanyankena Charamena
13. Sopantyadvayamantyam
14. Ekanyunena Purvena
15. Gunitasamuccayah
16. Gunakasamuccayah
1. Anurupyena
2. Sisyate Sesasamjnah
3. Adyamadyenantyamantyena
4. Kevalaih Saptakam Gunyat
5. Vestanam
6. Yavadunam Tavadunam
7. Yavadunam Tavadunam Dvigu
8. Antyayordashake’pi
9. Antyayoreva
10. Samuccayagunitah
11. Samuccayah Samuccayaj Gunitah
12. Lopanasthapanabhyam
13. Vilokanam