Select a sutra to learn & practice ancient mental math techniques
"By one more than the previous number."
Calculating squares of numbers ending in 5, multiplying numbers whose first digits add up to 10 and last digits are 5.
"All from 9 and the last from 10."
Subtracting from powers of 10, multiplying numbers close to a base (10, 100, 1000).
"Vertically and crosswise."
General multiplication of any two numbers. The most versatile Vedic multiplication method.
"Transpose and adjust."
Division by numbers slightly greater than powers of 10.
"When the sum is the same, that sum is zero."
Solving equations where the sum of coefficients on both sides are equal, quickly finding that the variable is zero.
"If one is in ratio, the other is zero."
Solving simultaneous equations where coefficients are in proportion. Also used for proportional reasoning.
"By addition and by subtraction."
Solving simultaneous equations by adding and subtracting them to eliminate variables.
"By the completion or non-completion."
Simplifying multiplication by completing to the nearest round number.
"Differences and similarities."
Multiplying numbers equidistant from a round number using the difference of squares.
"Whatever the extent of deficiency."
Squaring numbers near a base (10, 100, 1000). Lightning-fast mental squaring!
"Part and whole."
Breaking complex problems into simpler parts. Especially powerful for multiplying by 11.
"The remainders by the last digit."
Finding remainders and divisibility checks using digit patterns.
"The ultimate and twice the penultimate."
Working with telescoping fraction sums and specific algebraic series.
"By one less than the previous."
Multiplying any number by 9, 99, 999, etc. Incredibly fast!
"The product of the sum is equal to the sum of the products."
Multiplying two sums together by computing each sum first, then multiplying the results.
"The factors of the sum are equal to the sum of the factors."
Distributing a multiplier over a sum using the distributive property for faster mental calculation.