Mathematics Olympiad In India
The Mathematics Olympiad activity was undertaken by NBHM from 1986 onwards in India and is currently run in collaboration with the Homi Bhabha Centre for Science Education, Mumbai. One main purpose of this activity is to support mathematical talent among high school students in the country. NBHM has taken on the responsibility for selecting and training the Indian team for participation in the International Mathematical Olympiad every year. While NBHM coordinates and supports Mathematics Olympiad contests all over the country, regional bodies, mostly voluntary, play an important role at different stages. For the purpose of administering Mathematics Olympiad contests, the country has been divided in 16 regions. A regional coordinator is responsible for conducting these tests in each region.
General Information about Mathematics Contests The Mathematics Olympiad Programme leading to participation in the International Mathematical Olympiad consists of the following stages:
Stage 1: Regional Mathematical Olympiad (RMO) RMO is held in each region normally between September and the first Sunday of December each year. The regional coordinator ensures that at least one centre is provided in each district of the region. All high school students up to class XII are eligible to appear for RMO. RMO is a 3hour written test containing about 6 to 7 problems. Each regional coordinator has the freedom to prepare his/her own question paper or to obtain the question paper from NBHM. The regions opting for the NBHM question paper hold this contest on the 1st Sunday of December. On the basis of the performance in RMO, a certain number of students from each region are selected to appear for the second stage. Regional coordinators charge nominal fees to meet the expenses for organizing the contests.
Stage 2: Indian National Mathematical Olympiad (INMO) INMO is held on the first Sunday of February each year at various Centres in different regions. Only students selected on the basis of RMO from different regions are eligible to appear for INMO. INMO is a 4hour written test. The question paper is set centrally and is common throughout the country. The top 3035 performers in INMO receive a certificate of merit.
Stage 3: International Mathematical Olympiad Training Camp (IMOTC) The INMO certificate awardees are invited to a month long training camp (junior batch) conducted in MayJune, each year. In addition, INMO awardees of the previous year that have satisfactorily gone through postal tuition throughout the year are invited again for a second round of training (senior batch).
Stage 4: International Mathematical Olympiad (IMO) The team selected at the end of the camp, a "leader" and a "deputy leader," represent India at the IMO that is normally held in July in a different member country of IMO each year. The leader and deputy leader are chosen by NBHM from among mathematics teachers/researchers involved in the Mathematics Olympiad activity. IMO consists of two written tests held on two days with a gap of at least one day. Each test is of fourandahalfhours duration. Travel to IMO venue and return takes about two weeks. India has been participating in IMO since 1989. Students of the Indian team who receive gold, silver and bronze medals at IMO receive a cash prize of Rs. 5,000/, Rs. 4,000/ and Rs. 3,000/ respectively, from NBHM during the following year at a formal ceremony at the end of the training camp.The Ministry of Human Resource Development (MHRD) finances international travel of the eightmember Indian delegation connected with international participation. NBHM finances the entire incountry programme and takes care of other expenditureStudents aiming for selection for participation in IMO should note that RMO is the first essential step for the programme. To appear for RMO, students should get in touch with the RMO coordinator of their region well in advance, for enrolment and payment of a nominal fee.Syllabus for Mathematics OlympiadsThe syllabus for Mathematics Olympiads (regional, national and international) is predegree college mathematics. The areas covered are: number systems, arithmetic of integers, geometry, quadratic equations and expressions, trigonometry, coordinate geometry, systems of linear equations, permutations and combinations, factorisation of polynomials, inequalities, elementary combinatorics, probability theory, number theory, infinite series, complex numbers and elementary graph theory. The syllabus does not include calculus and statistics. The typical areas for problems are: number theory, geometry, algebra and combinatorics. The syllabus is in a sense spread over class IX to class XII levels, but the problems under each topic are of an exceptionally high level in difficulty and sophistication. The difficulty level increases from RMO to INMO to IMO.
Books A good idea of what is expected of students in Mathematics Olympiads can be had from the following two books: Mathematics Olympiad Primer, by V.Krishnamurthy, C.R.Pranesachar, K.N. Ranganathan and B.J. Venkatachala (Interline Publishing Pvt. Ltd., Bangalore).Challenge and Thrill of PreCollege Mathematics, by V.Krishnamurthy, C.R.Pranesachar, K.N.Ranganathan and B.J.Venkatachala (New Age International Publishers, New Delhi  1996).
Above article can be read on the web>> OFFICIAL WEBSITE OF NBHMThe National Board for Higher Mathematics (NBHM)
Download Question papers of Mathematics Olympiad

KVS JMO ALGEBRAPDF

KVS JMO GEOMETRYPDF

KVS JMO INEQUALITIES PDF

KVS JMO NUMBER SYSTEMPDF

KVS JMO SAMPLE PAPER (With Solution)01PDF

KVS JMO SAMPLE PAPER (With Solution)02PDF

KVS JMO SAMPLE PAPER (With Solution)03PDF

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KVS JMO SAMPLE PAPER (With Solution)08PDF

KVS Pre JMO2015(With Solution)PDF

KVS Maths Olympiad2010(Without Solution)

KVS JMO2011(Without Solution)

KVS (pre) JMO2016 (With Solution)

KVS JMO2001Q.P.

KVS JMO2002Q.P.

KVS JMO2003Q.P.

KVS JMO2005Q.P.

KVS JMO2007Q.P.

KVS JMO2008Q.P.

KVS JMO2009Q.P.

KVS JMO2010Q.P.

KVS JMO2011Q.P.

SOF Maths Olymoiad, Class10, 2016 Delhi, Q.P.

SOFCLASS 11Maths Olymoiad 2016 Delhi