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IAVM Assessment date finalized; list of topics released

The Institute for the Advancement of Vedic Mathematics approved the request of MATH-Inic Philippines to hold the IAVM assessments on the following dates:

Level I – Foundation Level: Novice on Saturday, August 19 at 4PM; Level II – Foundation Level: Proficiency on Saturday, September 2 at 4PM; Level III – Foundation Level: Distinction on Saturday, September 23 at 4PM. Students, teachers, and other Vedic Math enthusiasts may take the assessments. Under the revised rules, Level I is optional but passing the Level II exam is a requirement for qualifying to take the Level III test. An 80% rating is required to pass in all levels.

Those interested in joining the assessments may register here:

They can also use the same link to register for the Level II and Level III Review.

Fee is P300 per assessment and review session.

The IAVM also released the cumulative list of topics covered by the assessments. This means that the topics for Level I is also included in Level II and the topics for both levels are included in the list for Level III.


Level I – Foundation Level: Novice

Use deficiencies to add and subtract numbers close to a multiple of 10

Column addition

Recognition of number partners for 10

Subtract numbers from a power of 10 and from a multiple of a power of 10

General subtraction of numbers

Doubling and halving for use in multiplying and dividing numbers by 2, 4, 8, 5, 25 and 50 (not including decimal results except for 2 and 5)

Nikhilam multiplication below the base 10 and 100

Nikhilam multiplication above the base 10 and 100

Multiplying numbers by 11, 99 and 999

Multiplying 2-digit numbers by When the final digits add to 10

Calculating digital roots by continual summing and by casting out 9s

Linking digital root with remainder on division by 9

Using digital roots to check answers for addition, subtraction and multiplication

 , 2- by 2-digit, 3- by 3-digit and 3- by 2-digit numbers

Divisibility rules for 2, 5,10, 25, 50, 4, 8, 3, 9 (and  7 by means of proximity to a multiple of 7)

Nikhilam division for divisor 9 and divisors less than 100 (simple cases in the dividend part)

Equivalent Fractions

Add and subtract like and unlike fractions including simple cases with mixed numbers


Level II – Foundation Level: Proficiency

Converting fractions to decimals

with powers of 10 as denominators (up to 1000)

with powers of 2 as denominators (up to 16), using halving

Mirror patterns with powers of 2 and powers of 5 as denominators

with factors of 100 and 1000 using Proportionately

Mirror patterns with 9 and 11 as denominators (By one more than the one before)


Introduction to place value

Addition and subtraction of decimal numbers

Division by 2 and by 5 leading to decimals

Vertically and crosswise multiplication with decimals (using counting to establish the decimal point)

Nikhilam multiplication with decimals

Vinculum I

Concept of Vinculum numbers

Vinculating and devinculating numbers

Using vinculums for subtraction and combined addition and subtraction

Vinculum II

Nikhilam multiplication above and below the base 100, 10 and 1000

Multiplying numbers by 9 using vinculums

Using vinculums for 2- by 2-digit  Vertically and crosswise multiplication

Division by 9 by converting awkward dividends


2-digit numbers ending in 5 (including extensions such as 115,  350 and 0.65)

Numbers below 100 and 1000 (Using “Lessen by the deficiency and…”)

Numbers above 10, Base 50 (above and below)

Geometric explanations of above items


Nikhilam division for divisors less than 1000

Paravartya Division for divisors 11, 12, 101, 103 etc..

Straight Division with 2-digit divisors and 3-digit dividends (Simple cases with no altered remainders

Products and Factors

Understanding prime factor decomposition

Using factors to simplify composite fraction calculations

HCF and LCM using Vertically and crosswise

Problems involving HCF or LCM


Perimeter of triangles, quadrilaterals and compound shapes

Fractions of shapes by Inspection and by Transpose and Apply

Lines of Symmetry (Triangles, quadrilaterals, regular polygons)

Area of rectangle, triangle, parallelogram, rhombus, trapezium


Linear sequences including nth term formulae

Types of number: odd, even, prime, square, cube, triangular

Recognising patterns

Application of triangular numbers to simple combinatoric problems

Introduction to Algebra

Concept of generality and speciality (Specific and general)

Algebraic syntax

Substitution to evaluate simple expressions

Collecting like terms

Brackets (linear)

Linear Equations

Equality and balance

Solving by inspection

Solving using bar-models

Solving by retaining balance

Solving by Transpose and adjust (including 2-step but not including fractions)

Ratio and Proportion

Simplifying ratios

Applications to simple problems in proportion using equivalence and unitary method

Graphical applications of proportion, such as with conversion graphs, distance/time graphs

Ratio equations using Product of the means equals product of the extremes

Percentage problems

Understanding percentage as a fraction

Percentage of a quantity, one quantity as a percentage of another

Percentage increase and decrease leading to use of multiplying factor


Level III – Foundation Level: Distinction

Aspects of Number

Understanding that digital root gives the remainder when a number is divided by 9

Understanding that LCM =Product ÷ HCF

Linear Sequences

Finding the mean value of a linear sequence

Finding and applying the nth term formula for a linear sequence


Using vinculums for 3- by 3-digit  Vertically and crosswise multiplication, including decimals

Nikhilam multiplication using a working base, including above and below, and with decimals

Vertically and crosswise for 4 by 4 and 5 by 5 digit numbers, including decimals


Division by 9 by converting awkward dividends using vinculums

Nikhilam division with redividing the remainder

Paravartya division with harder cases

Straight division(On the flag) with with 2-digit and 3-digit divisors including altered remainders and decimals

Fractions and Decimals

Division of 1.0000 by 3, 9, 7 and 6

Three types of decimal fractions, recurrning, non-recurring and partly recurring, depending on  prime factors of denominators

Comparing fractions

Combined multiplication and division of fractions

Ratio and Proportion

Problems involving ratio equations (Product of mean equals product of extremes)

Application of proportion to percentage and reverse percentage problems

Problems involving combined ratios

Squares and Square Roots

Squaring 2-digit numbers ending in 5 with decimals

Squaring using a working base

Finding a Duplex

Straight squaring using duplexes, up tp 4-digit numbers, including decimals

Finding square roots using factors or prime factors

Difference of two squares (numerical)


Understanding what are Equations, Formulae, Expressions, Identities and Inequalities

Algebraic squaring of binomials and trinomials

Adding and subtracting algebraic fractions

Simplifying expressions

Forming and solving linear equations

Linear equations involving fractions using LCM of denominators

Checking algebraic products using Sum/Product, Product/Sum


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