Vedic Mathematics Sutras

This list of sutras is taken from the book Vedic Mathematics, which includes a full list of the sixteen Sutras in Sanskrit, but in some cases a translation of the Sanskrit is not given in the text and comes from elsewhere.

This formula 'On the Flag' is not in the list given in Vedic Mathematics, but is referred to in the text.


 1  By one more than the one before

 2  All from 9 and the last from 10

 3  Vertically and Cross-wise

 4  Transpose and Apply

 5  If the Samuccaya is the Same it is Zero

 6  If One is in Ratio the Other is Zero

 7  By Addition and by Subtraction

 8  By the Completion or Non-Completion

 9  Differential Calculus

10 By the Deficiency

11 Specific and General

12 The Remainders by the Last Digit

13 The Ultimate and Twice the Penultimate

14 By One Less than the One Before

15 The Product of the Sum

16 All the Multipliers


 1  Proportionately

 2  The Remainder Remains Constant

 3  The First by the First and the Last by the Last

 4  For 7 the Multiplicand is 143

 5  By Osculation

 6  Lessen by the Deficiency

 7  Whatever the Deficiency lessen by that amount and set up the Square of the Deficiency

 8  Last Totalling 10

 9  Only the Last Terms

10 The Sum of the Products

11 By Alternative Elimination and Retention

12 By Mere Observation

13 The Product of the Sum is the Sum of the Products

14 On the Flag