INTERNATIONAL VEDIC MATHEMATICS OLYMPIAD (IVMO)
Dear VM Enthusiast,
The IAVM (Institute for the Advancement of Vedic Mathematics) will be running a competition in September 2020, the IVMO.
It is an international competition that tests ability and speed in using Vedic mathematics techniques and their application in problem solving. There are four levels for the Olympiad: Primary, Junior, Intermediate and Senior. On the day of sitting (12th September, 2020) valid entries are as follows:
Primary – 11 years and under
Junior – 13 years and under
Intermediate – 16 years and under
Senior – 18 years and under.
The Olympiad will be run at Regional Centres, in any country, under the supervision of Regional
Coordinators. If you wish to have students participating in this global event then we invite you to become a Regional Coordinator. This letter of invitation is being sent now so that students can be trained in the Vedic Maths techniques in good time.
There will be award certificates of Bronze, Silver and Gold, issued by the IAVM, for the top 60% (globally) in the ratio 3:2:1. Adults, and anyone outside the intended age brackets, may also sit the Olympiad but will not be included in the student certification.
If you are interested in participating as a Regional Coordinator then please read the details below of how the Olympiad will be implemented and register your interest with us, email:instituteavm@gmail.com, preferably by the end of December 2019. This will enable us to advertise the Regional Centres in good time. You will not need to inform us of the number of participants at this stage. If you register as a Regional Coordinator you will be required to administer the Olympiad test under exam conditions. With your permission we will publish your contact details and location on our website so that anyone interested can get in touch.
How it Works
- Once registered, Regional Coordinators (RCs) will be sent full sample papers with answers.
- RCs will be emailed the Olympiad tests and markschemes a few days before the set date.
- They print out sufficient numbers of tests.
- Children (students) sit the test under strict exam conditions.
- RCs then mark the papers according to the markscheme and email back to IAVM the results on a prepared spreadsheet.
- IAVM collates the results and awards certificates.
The Olympiad can be organised and run either through schools or through private Regional Coordinators.
Further details are set out below.
The trustees of IAVM look forward to welcoming you as a Regional Coordinator for this exciting new event which we plan to run every year.
With kind regards James Glover (Chair) Fees
For registering as a regional coordinator.
| India – INR 1000 | Great Britain – £15 | Japan – JPY 2000 |
| Philippines – PHP 1000 | USA – $20 | Australia – AUD 30 |
| South Africa – ZAR 300 | Europe – €18 | Nigeria – NGN 4000 |
Fees for participants are as follows:
| India – INR 250 | Great Britain – £4 | Japan – JPY 500 |
| Philippines – PHP 250 | USA – $5 | Australia – AUD 7.50 |
| South Africa – ZAR 45 | Europe – €4.50 | Nigeria – NGN 1000 |
Entry fees for other countries can be provided on enquiry. Regional Coordinators will retain 20% of the entry fee and return the balance to IAVM.
Languages
If you wish to have the Olympiad in an alternative language from English, then arrangements can be made for the worded questions through an appendix.
Structure
Each Olympiad test contains 40 questions to be sat in one hour. 2 marks will be awarded for correct answers to questions 1 – 20 and 3 marks per question thereafter. Each test is structured so that (approximately) the first 20 questions test arithmetic ability using the Vedic maths techniques, the next 10 questions test the application of those techniques and the final 10 questions are problems.
Topics
The list of topics for each Olympiad is set out below. The lists are cumulative, for example, students entering the Senior Olympiad will need to be familiar with all topics in the other Olympiads. Most resources as well as courses for students and teachers are available at www.vedicmaths.org.
| Primary Topics |
| Addition of numbers by casting out 10s |
| Divisibility test for 9 |
| Subtraction of numbers |
| Nikhilam multiplication, base 100, below the base, above the base, above and below the base |
| Finding digital roots by casting out 9s |
| Multiplying and dividing by 5, including decimals, using Proportionately |
| Squaring 2-digit numbers ending in 5 |
| Multiplying 2-digit numbers, using When the final digits add to 10 |
| Division by 9 and 11 |
| Nikhilam division with divisors, base 100 |
| Fractions: simplifying, addition, subtraction, multiplication, division |
| Simple word problems using the above |
| Linear Sequences |
| Areas of rectangle and triangles |
| Relative size of fractions |
| Perimeters of compound shapes |
| Percentage problems |
| Lines of symmetry |
| Counting shapes within a compound shape |
| Junior Topics |
| Nikhilam division with divisor base 1000 |
| Fraction calculations with mixed numbers |
| Converting fractions to decimals using Proportionately |
| Squaring numbers close to a base |
| Using Nikhilam multiplication with decimals |
| Straight division with 2-digit divisors without altered remainders |
| Multiplication by Vertically and Crosswise, up to 3 by 3 digits |
| Simple word problems using the above |
| Solving linear equations with unknown on both sides |
| Calculating percentages of amounts |
| Reverse percentages |
| Using proportionately to compare fractions |
| Problems involving direct and inverse proportion |
| Decimal conversions for 9ths and 11ths |
| Fractions of shapes problems |
| Finding and using nth term formulae for linear sequences |
| Solving linear equations involving fractions |
| Volumes and surface areas of cuboids |
| Intermediate Topics |
| Divisibility using composite divisors |
| Nikhilam multiplication up to base 1000 |
| Paravartya division for numerical divisors up to base 100 and for algebraic binomial divisors |
| Cubing 2-digit numbers |
| Square roots of perfect squares of 2-digit numbers |
| Squaring numbers close to a base 1000 |
| Vertically and Crosswise multiplication with decimals |
| Converting fractions with denominators ending in 9 into decimals |
| Convert partially recurring decimals into common fractions |
| Straight division with decimals |
| Simultaneous linear equations |
| Minimum value of a quadratic function by completing the square |
| Solve quadratics by factorisation with coefficient of x2 greater than 1. |
| Use of factor theorem to solve cubic equations |
| Equation of straight line given gradient and one point |
| Equation of straight line given two points |
| Equation of parallel line through one point |
| Equation of perpendicular line through one point |
| Points of intersection |
| Multiplying quadratic functions |
| Polynomial and numerical division with binomial divisors by Transpose and Adjust |
| Unique types of quadratics equations |
| Similar areas and volumes in relation to linear scale factors |
| Similar shapes involving ratios |
| Simplifying algebraic fractions involving quadratics |
| Using last digits to verify calculations |
| Expressing a number as the difference of two squares |
| Combined ratios using LCM |
| Angles in polygons |
| Negative and fractional indices of numbers |
| Senior Topics |
| Left to right calculations for significant figures |
| Cubing 2-digit decimal numbers |
| Problems involving the difference of two squares |
| Number of digits in partially recurring decimals |
| Product of sums of coefficients in polynomial products |
| Using first and last terms in polynomial calculations |
| Completing the square to find radius and centre of a circle equation |
| Using the difference of two squares in algebraic proof |
| Factor theorem |
| Product and Quotient rules for differentiation |
| Chain rule for differentiation for polynomials |
| Series expansions using the Binomial theorem for negative and fractional indices |
| Use of Pythagorean triples to define angles |
| Addition and subtraction of angles using triples |
| Geometric problems involving triples including reflections, rotations and distances |
| Reflections and rotations of points using triples |
| Areas of shapes on coordinate axes using Product of means minus product of extremes |
| Use of Discriminant of quadratic functions to detemine number of roots |
| Definite integration to find area under a curve |
| Integration with partial fractions resulting in natural log functions |
Full sample papers with solutions and suggested use of sutras will be available to Regional Coordinators.
