# 4th PNVMO Mechanics

**4 ^{th} Philippine National Vedic Mathematics Olympiad**

**Date: **October 7, 2023

**Time: **10:00 to 11:00 AM

**Objectives:**

- To develop creativity in problem solving among the participants.
- To encourage the use of fun, fast and easy Vedic Math mental techniques in arithmetic computations.
- To develop confidence, patience, and stamina among the learners in solving unfamiliar problems.
- To prepare the participants to compete in the 3
^{rd}International Vedic Mathematics Olympiad (IVMO 2023) which is the biggest and most prestigious VM competition in the world.

**Mechanics:**

- The competition will be online. The questions will be in Google Form(Quiz).

- The conduct of the participants will be monitored by the area facilitators(AFs) and their assistants.

- Two modes can be adopted, depending on the conditions in the participants’ locality:

- The participants may be in their homes or classrooms. One device or gadget is required to take the online exams, but an additional device is needed where the camera is focused on them during the contest so that they can be observed by the AFs.

- The contestants are gathered in a spacious room with adequate internet connection. This will enable the AFs and their assistants to closely observe their participants who only need to use a laptop, notebook, or cell phone to take the quiz.

- The competitions will be in six categories based on the age of the contestants on the date of the IVMO 2023.
- Beginners (Primary B): those born after Nov 25, 2013
- Primary (Primary A): those born after Nov 25, 2011
- Juniors: those born after Nov 25, 2009
- Intermediate: those born after Nov 25, 2006
- Seniors: those born after Nov 25, 2004
- Open: any age

- The participants will be given 60 minutes to answer forty multiple choice questions in Google Quiz. Correct answers to
- questions 1 to 25 will be given 2 points each.
- questions 26 to 35 will be given 3 points each.
- questions 36 to 40 will be given 4 points each.

- The top 30% of the competitors in each category will be given Certificates of Recognition and specially molded 2” Gold, Silver, and Bronze Medals in the ratio of 1:2:3.

- The next 30% will receive a Certificate of Merit each, while the non-winners will each receive a Certificate of Participation.

- Most questions can be answered using the traditional methods, but knowledge of Vedic Math is a definite advantage. Some questions can only be solved using VM techniques.

- Aside from the Area Facilitators, other teachers may help in the training of participants but only those who have completed the Vedic Mathematics Teacher Training Course (VMTTC) or who have passed the Foundation Level: Distinction assessment of the Institute for the Advancement of Vedic Mathematics (IAVM) will receive their certificate as coach. The schedule for IAVM assessments will be posted separately.

**Registration:**

The participants shall register with and pay the registration fee of P300 to the accredited Area Facilitator in their school or district not later than September 30, 2023. The AFs shall also help the participants in training for the competitions.

**Coverage:**

The topics to be included in each category shall be the same as those used in the 2^{nd} International Mathematics Olympiad. The coverage is cumulative, which means that the topics covered in the younger divisions are included in the older groups.

The coverage of questions in the beginners and primary groups, which are referred as to Primary B and Primary A respectively in IVMO 2022 are the same but the degree of difficulty of the questions will, of course, differ.

The Open category will have the same coverage as the Seniors category except that there will be no questions in Calculus and Triple trigonometry.

**Beginners and Primary:**

- Four basic arithmetic operations on whole numbers, fractions, and decimals
- Simple divisibility rules: 2, 4, 8, 3, 6, 9, 5, 10
- Digit sums
- Doubling and halving
- Nikhilam Multiplication
- Squaring numbers ending in 5
- Multiplying “complementary numbers”
- Vertically and crosswise multiplication.
- Nikhilam Multiplication
- HCF and LCD using vertically and Crosswise
- Linear sequences
- Area and perimeter of simple shapes
- Primes, square and triangular numbers

**Sutras involved:**

- All from 9 and the last from 10
- Vertically and Crosswise
- By one more than the one before
- Proportionately
- By Addition and by subtraction
- By observation
- By the Last digits

**Juniors:**

- Four basic arithmetic operations on whole numbers, fractions and decimals
- Fractions to decimal conversion and vice versa
- Squaring numbers close to a base
- Using bar numbers
- Paravartya division
- Straight division with 2 digit divisors
- Percentages
- Direct and indirect proportion
- Finding the nth term in a linear sequence
- Linear equations
- Simple rules of indices
- Mean, median and mode
- Area and circumference of a circle
- Volume and surface Areas
- Angles in parallel lines, triangles and quadrilaterals

**Sutras Involved:**

- Deficiency
- Transpose and Adjust
- On the Flag
- By Elimination and Retention
- All the multipliers

**Intermediate:**

- Converting fractions with denominators ending in 9 into decimals
- Conversion of partially recurring decimals into fractions
- Straight division with 3-digit divisors
- Simultaneous linear equations
- Quadratic equations
- Nth terms for quadratic sequences
- Completing the square
- Difference of two squares
- Cubing 2-digit numbers
- Combined ratios
- Polynomial division with binomial divisors
- Polynomial multiplication
- Factor theorem
- Indices (including fractional and negative)
- Using last digits to check the answer
- Angles in polygons
- Equations of straight lines
- Similar areas and volumes

**Sutras Involved:**

- By completion or non-completion
- Particular and the general
- Product of the means, product of the extremes

**Open:**

- Coefficients in polynomial products
- Using the first and last terms in polynomials
- Series expansion in polynomials
- Application of discriminants in quadratics
- Divisibility by osculation
- Logarithmic and exponential functions
- Inverse functions
- Method of differences
- Areas of shapes in coordinate axes
- Equations of circles

**Seniors**

- Triples
- Pythagorean triples

- Triple Geometry
- Addition and subtraction of angles
- Geometric problems involving triples

- Calculus
- Chain rule
- Integration to find areas
- Product and quotient rules
- Partial fractions

**Sutras involved:**

- Differential Calculus

Please write to competitions@math-inic.com for further details.