The 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.

The Sixteen Sutras.

Sutra	Translation
	By one more than the one before.
	All from 9 and the last from 10.
	Vertically and Cross-wise
	Transpose and Apply
	If the Samuccaya is the Same it is Zero
	If One is in Ratio the Other is Zero
	By Addition and by Subtraction
	By the Completion or Non-Completion
	Differential Calculus
	By the Deficiency
	Specific and General
	The Remainders by the Last Digit
	The Ultimate and Twice the Penultimate
	By One Less than the One Before
	The Product of the Sum
	All the Multipliers

Note: The current Shankaracharya of Puri, Jagadguru Swami Nishchalananda Saraswati, has said (in 2008) he will be able to locate all the above sutras in the Vedic texts, but has so far only found one.

See also the article "The Sutras of Vedic Mathematics", by Kenneth Williams, published in the Journal of the Oriental Institute.

The sub Sutras.

Sub sutra	Translation
	Proportionately
	The Remainder Remains Constant
	The First by the First and the Last by the Last
	For 7 the Multiplicand is 143
	By Osculation
	Lessen by the Deficiency
	Whatever the Deficiency lessen by that amount and set up the Square of the Deficiency
	Last Totalling 10
	Only the Last Terms
	The Sum of the Products
	By Alternative Elimination and Retention
	By Mere Observation
	The Product of the Sum is the Sum of the Products
	On the Flag