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Mathematical Olympiad
Eligibility
Syllabus for Mathematics Olympiads
Books for preparation of Mathematical Olympiads
Selection Procedure
Exam Structure
Mathematical Olympiads are mainly organized to spot mathematical talent in pre-University students. Regional Mathematical Olympiad (RMO) held in India is the first step for an Indian student to get a chance to represent India in the International Mathematical Olympiad (IMO) - the world championship mathematics competition for high school students.
Those who clear Regional Mathematical Olympiad are eligible to sit for the Indian National Mathematical Olympiad (INMO), which is conducted by the Mathematical Olympiad (MO) Cell of the Homi Bhabha Centre of the Science Education (HBCSE) under the aegis of the National Board of Higher Mathematics (NBHM).
The Maths Olympiad Programme which leads to participation in the IMO- International Mathematical Olympiad,constitutes of the following stages:
Stage 1: Regional Mathematical Olympiad (RMO)
Regional Mathematical Olympiad is held in each region normally between September and the first Sunday of December each year. A regional coordinator makes sure that at least one centre is provided in every district of the region. RMO is a 3-hour written test which contains about 6 to 7 problems. All high-school students up to class XII are eligible to appear for RMO. To appear for RMO, interested students should get in touch with the RMO co-ordinator of their region well in advance, for enrolment and payment of a nominal fee.
Each regional coordinator has the freedom to prepare his/her own question paper or to obtain the question paper from NBHM. The regions which opt for the NBHM question paper hold this contest on the 1st Sunday of December. On Based on theirperformance in RMO, certain number of students from each region are selected to appear for the second stage. The regional coordinators charge nominal fees to meet the expenses for organizing the contests.
Stage 2: Indian National Mathematical Olympiad (INMO)
Indian National Mathematical Olympiad is held on the first Sunday of February every year at differentcentres in different regions. Just the students who are selected on the basis of RMO from various regions are eligible to appear for the INMO. It is a 4-hour written test. Its question paper is set centrally and the test is common throughout the country. Only the top 30-35 performers in INMO receive a merit certificate.
Stage 3: International Mathematical Olympiad Training Camp (IMOTC)
This is a training level for the INMO certificate awardees. They are invited for a month long training camp (for junior batch) conducted in May-June, each year. Also in addition, INMO awardees of the previous year who have satisfactorily completed the postal tuition throughout the year are again invited for a second round of training (called the senior batch).
Stage 4: International Mathematical Olympiad (IMO)
A leader and deputy leader are chosen by the NBHM from among mathematics teachers/researchers involved in the Mathematics Olympiad activity.So the team selected at the end of the camp, the leader and the deputy leader, represent India at the International Mathematical Olympiad that is normally held in July in a different member country of IMO each year. The IMO consists of two written tests held on two days with a gap of at least one day. Both the tests are of four-and-a-half-hours.
India has 25 regions along with three independent groups that conduct Regional Math Olympiad. Each region has its own Regional Coordinator, who is responsible for conducting RMO in his/her region.
They are:
1. Assam
Department of Mathematics, Gauhati University, Gopinath Bordoloi Nagar, Guwahati -781 014 Assam
2. Chattisgarh
Head, Department of (Mathematics), Govt. P.G. College, Dhamtari, Chattisgarh 493773
3. Coastal AP & Rayalaseema
Head, PG Department of Mathematics, Maris Stella College, Vijayawada 520 008
4. Delhi
Dept of Mathematics, IIT, Hauz Khas, New Delhi 110 016
5. Gujarat
Abhijat Vidyavihar, Vishwabharti Shikshan Sankool, Vir Savarkar Chowk, Gurukul Road, Memnagar, Ahmedabad – 380 052.
6. Jammu
Professor & Head, Department of Mathematics, University of Jammu, Jammu - 180 006
7. Jharkhand
Kali Mandir Lane, Sukhdeo Nagar – Ratu Road, P. O. Hehal, Ranchi – 834 005
Principal,Guru Nanak Higher Secondary School, Pee-Pee Compound, Ranchi - 834 001 Jharkhand
8. Karnataka
Statistics & Mathematics Unit, Indian Statistical Institute, Bangalore 560 059
9. Kashmir
Department of Mathematics, University of Kashmir, Srinagar, Hazratbal 190 006
10. Kerala
Professor and Head (Regional Coordinator INMO), Dept of Mathematics, Cochin University of Science & Technology, Cochin 682 022, Kerala
Department of Mathematics, St. Joseph’s College, Devgiri P.O., Calicut 673 008
11. Madhya Pradesh
Director,State Institute of Science Education (SISE) P. S. M. Campus, Jabalpur, Madhya Pradesh 482 001
12. Maharashtra & Goa
Department of Mathematics, Fergusson College, Pune 411 004.
13. Meghalaya
Dept of Mathematics, North-Eastern Hill University, Permanent Campus, Mawlai, Shillong, Meghalaya 793 022
14. Mumbai
Centre, Director, Homi Bhabha Centre for Science Education, Near Anushaktinagar Bus Depo,t V. N. Purav Marg, Mankhurd, Mumbai – 400 088
15. North Bihar & Patna
RMO Office, North Bihar & Patna Region, New Azimabad Colony, West Sanichara, P.O. Mahendru, Patna 800 006
16. North Western States
Dept of Mathematics, Panjab University, Chandigarh 160 014
17. Orissa
A2, Rashmi Towers, Nageswar Tangi, Old Town, Bhubaneswar-751002 Odisha, India
18. Rajasthan
Regional Coordinator, INMO, Dept of Mathematics, University of Rajasthan, Jaipur 302 004
19. South Bihar (Bhagalpur)
Ramniwas, Lal Bagh, Tilakamanjhi, Bhagalpur 812 001, Bihar
20. Tamilnadu
C1, Srinidhi Apartment, 16 A, Giri Road, T Nagar, Chennai - 600 017
21. Telangana
Head of the Department, Department of Mathematics, St. Francis College for Women, Umanagar Colony , Kundanbagh Begumpet, Hyderabad 500 016
22. Tripura
Tripura Mathematical Society, Dept of Mathematics, Tripura University, Suryamaninagar, Agartala Tripura 799022
23. Uttar Pradesh
C-1/351 Sector G Jankipuram, Lucknow 226021
24. Uttarakhand
Department of Mathematics, Kumaun University, DSB Campus, Nainital 263 001 Uttarakhand
25. West Bengal
Applied Statistics Unit, Indian Statistical Institute, 203 B.T. Road, Kolkata 700 108
26. Central Board of Secondary Education (CBSE) schools collectively conduct their own RMO
Director (Academic),Central Board of Secondary Education, Shiksha Bhavan 2, Commercial Centre, New Delhi 110 092.
AEO, CBSE, 17, Rouse Avenue, New Dehi- 110 002
27. Navodaya Vidyalaya Samiti (NVS) schools collectively conduct their own RMO
Jt. Commissioner Academic, Navodalaya Vidyalaya of Navodaya Vidyalaya Samiti, A-28, Kailash Colony, New Delhi 110 048
28. Kendriya Vidyalaya Sangathan (KVS) schools collectively conduct their own RMO
PGT Maths,KVS, Mathematical Olympiad, Kendriya Vidyalaya, NTPC Badarpur, New Delhi 110 044
Regional Coordinators have the discretion of using central RMO paper set by the HBCSE or set the examination paper themselves. Regions that choose to go with the centrally prepared RMO paper have to conduct a pre-RMO to screen students for the central RMO examination.
The format of the pre-RMO paper and criteria for short listing student for RMO is decided solely by the Regional Coordinator.
Only students of class IX, X, XI and XII are eligible to participate in Regional Mathematical Olympiad. However, Regional Coordinators have the discretionary power to allow any Class VIII student with exceptional mathematical talent to sit for the RMO.
Syllabus for Mathematics Olympiads (regional, national and international) is class 9^{th} to 12^{th}standard mathematics.
The typical areas of problems are: number theory,algebra, geometry, and combinatorics.
The topics covered under these areas are: number systems, geometry, arithmetic of integers,quadratic equations and expressions, co-ordinate geometry, trigonometry,systems of linear equations, factorisation of polynomials, permutations and combinations,inequalities, probability theory,elementary combinatorics, number theory, complex numbers, elementary graph theory and , infinite series.
The syllabus does not include statistics and calculus.
Though the syllabus is roughly spread over class IX to class XII levels, still the problems under each topic are of an exceptionally high level in difficulty and sophistication as compared to the text book problems.
The difficulty level keeps increasing from RMO to INMO to IMO.
The following books treats the topic which are covered in the different levels of the olympiad and also are a rich source of problems-
1
Challenge and Thrill of Pre-College Mathematics
V. Krishnamurthy, C. R. Pranesachar, K. N. Ranganathan and B. J. Venkatachala
New Age International Publishers
2
Mathematical Challenges from the Olympiads*
C. R. Pranesachar, S. A. Shirali, B. J. Venkatachala, and C. S. Yogananda
Prism Books Pvt. Ltd.
3
Problem Primer for the Olympiad
C. R. Pranesachar, B. J. Venkatachala, and C. S. Yogananda
Prism Books Pvt. Ltd., #1865, 32nd. Cross, BSK II Stage, Bangalore 560 070. or 49, SardarSankar Road, Kolkata 700029. Phone: 24633890/24633944.
4
An Excursion in Mathematics
M. R. Modak, S. A. Katre, V. V. Acharya
BhaskaracharyaPratisthan, 56/14 Erandavane, Damle Path, Pune 411 004
5
International Mathematical Olympiad, Vol I, 1959-1975
IstvanReiman
Anthem Press (Indian Edition available)
6
International Mathematical Olympiad, Vol II, 1976-1990
7
International Mathematical Olympiad, Vol III, 1991-2004
8
Mathematical Circles
D. Fomin, S. Genkin& I. Itenberg
First Reprinted Edition, University Press, New Delhi, 2000
9
Problem-Solving Strategies
Arthur Engel
Springer
10
A Primer On Number Sequences
S. A. Shirali
University Press
11
First Steps In Number Theory--- A Primer On Divisibility
12
Functional Equations---A Problem Solving Approach
B. J. Venkatachala
Prism Books Pvt. Ltd
*(Contains problems and solutions of International Mathematical Olympiad from 1986-1994)
Apart from the above listed books dedicated for the Olympiad purpose, the following books listed below form the recommended topic-wise reading for the various math competitions. From the given reads, some are elementary, and some are not so elementary.
Books on Geometry
Modern Geometry
Durrel M. A.,
Macmillan & Co., London
Geometry Revisited
H. S. M. Coxeter and S. L. Greitzer
Mathematical Association of America
Plane Trigonometry
S. L. Loney
Books on Number Theory
An Introduction to the Theory of Numbers
I. Niven& H. S. Zuckerman
Wiley Eastern Ltd. New Delhi
Elementary Number Theory
David Burton
Universal Book Stall, New Delhi
An introduction to the theory of numbers
G. H. Hardy & Wright
Oxford University Publishers
Problem Books
International Mathematical Olympiad 1959-1977
S. L. Greitzer
MAA Pubications
International Mathematical Olympiad 1978-1985
M. S. Klamkin
USA Mathematical Olympiads 1972-1985
Selected problems and Theorems in Elementary Mathematics
D. O. Shklyarshky, N. N. Chensov and I. M. Yaglom
250 Problems in Elementary Number Theory
W. Sierpenski
American Elsevier
Problems in Plane Geometry
I. R. Sharygin
MIR Publishers
Books for General Reading
Higher Algebra
S. Barnard & J.M. Child
Macmillan & Co., London, 1939; reprinted Surjeet Publishers, Delhi, 1990
The Theory of Equations, Vol. 1 (13th Edition)
W. S Burnside & A.W. Panton
S. Chand & Co., New Delhi, 1990
Elementary Number Theory, Second Edition
D. M. Burton
Universal Book Stall, New Delhi, 1991
Introductory Combinatorics
RA. Brualdi
Elsevier, North-Holland, New York, 1977
H.S.M. Coxeter& S.L. Greitzer
New Mathematical Library 19, The Mathematical Association of America, New York, 1967
C.V. Durell
Macmillan & Co., London, 1961
H.S. Hall & S.R Knight
Macmillan & Co., London; Metric Edition, New Delhi, 1983
Mathematical Gems Part I (1973), Part II (1976), Part III (1985)
R Honsberger
The Mathematical Association of America, New York
Geometric Inequalities
N.D. Kazarinoff
New Mathematical Library 4, Random House and The L.W. Singer Co., New York, 1961
Inequalities
P.P. Korovkin
Little Mathematics Library, MIR Publishers, Moscow, 1975
I. Niven, H.S. Zuckerman & H.L. Montgomery
Fifth Edition, Wiley Eastern, New Delhi, 2000
Applied Combinatorics
A.W. Tucker
Second Edition, John Wiley & Sons, New York, 1984
13
High School MathematicsPart II
G.N. Yakovlev
MIR Publishers, Moscow, 1984
Students who clear INMO but are not selected for International Math Olympiad (IMO) receive postal problems during the period of July to December. Based on their responses, they might be invited to the pre-departure training camp for IMO directly or asked to sit for INMO again (without having to sit for the Regional Math Olympiad).
RMO has six or seven problems that students have to solve in three hours. The syllabus for RMO basically covers pre-degree college mathematics. The major areas covered in the syllabus are algebra, geometry, number theory and combinatorics. Calculus and statistics are not within the scope of the exam but students are allowed to use approaches based on them to solve problems.
The questions generally have high difficulty level and sophistication which only increase from RMO to INMO to IMO.
One should go through Regional Mathematical Olympiad past year papers as well as Regional Mathematical Olympiad sample papers to fully understand what is to be expected in the exam.
How can Askiitians help you?
Askiitians offers excellent and affordable packages to prepare students for Regional Mathematical Olympiad. These include Regional Mathematical Olympiad past paper with answer as well as test papers with correct and accurate Regional Mathematical Olympiad answer key. The comprehensive RMO study material offered at Askiitians includes all the topics covered in RMO syllabus.
To prepare for RMO 2018, please contact 0120-4616500.
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