Olympiad Papers

Olympiads are intensely competitive examinations which promote high standards of excellence in Maths and Science and give them a taste of the national- and international-level competitive examinations they would face after their class 12 board exams. On NextGurukul, students can find Olympiad papers for National Science Olympiad (NSO) and International Mathematics Olympiad (IMO). These question papers will help them prepare confidently and excel in these exams.

Know more about the Maths and Science Olympiads

The Mathematical Olympiad and Science Olympiad hold international significance among talent search programmes for students who are yet to attend a university. With an aim to identify talent at a young age, the Maths and Science Olympiads seek to test the innate skills of students for solving mathematical and science problems.

The National Board for Higher Mathematics (NBHM) has been organising the Indian National Mathematical Olympiad (INMO) in India since 1988. A non-profit organisation and an educational foundation, the Science Olympiad Foundation (SOF), based in New Delhi, conducts the National Science Olympiad (NSO) as well as a Maths Olympiad. An NSO is also conducted by the Department of Science & Technology of the Government of India.

INMO conducted by the NBHM

There are three main stages:

  • Regional Mathematical Olympiad (RMO) held in 25 regions, usually during October-December
  • Indian National Mathematical Olympiad (INMO), generally held in February
  • International Mathematical Olympiad (IMO) Training Camp, usually organised in May-June; a team of six students is selected to represent India in the IMO, held in July in different countries

The 58th edition of the IMO was to be held from July 12-24, 2017, in Rio de Janeiro, Brazil.

Examination pattern for INMO
  • RMO is a three-hour exam and consists typically of 6-8 questions worth 100 marks. These are of moderate difficulty. The same questions are asked in all regions to ensure uniformity. Some regions may choose to set their own question papers, however. The cutoffs are generally low (40%-50%), but may vary with difficulty levels
  • Students selected from each region through RMO appear for INMO. They are given about six problems to solve in a period of four hours. The difficulty level is much higher and, usually, correctly solving four is sufficient to qualify. Strategic and deep thinking is required to answer the questions, although they involve pre-calculus mathematics. A number of conjoined ideas form part of the solutions and several elementary steps have to be followed to arrive at the solutions
Syllabus for INMO

Those who qualify RMO can refer to Mathematics syllabus up to class 12 for INMO. However, the syllabus does not include statistics and calculus.

Questions of increasing difficulty level from number theory, geometry, combinatorics and algebra are asked in RMO, INMO and IMO.

To go into a little more detail, elementary graph theory, complex numbers, finite series, number theory, probability theory, inequalities, factorisation of polynomials, permutations and combinations, linear equations, coordinate geometry, trigonometry, quadratic equations, geometry, elementary combinatorics and integers form part of the syllabus.

Conditions for eligibility for INMO

Some of the most important conditions that candidates must meet are as follows:

  • Students of classes 8, 9, 10 and 11 who qualify the RMO can appear for INMO
  • Those who received certificates of merit in the previous year, but were not among the awardees, can also participate
  • Class 8 students who perform exceptionally well in RMO can also take INMO
SOF Olympiads-Maths (IMO) and Science (NSO)

The SOF Olympiads are aimed at inspiring pupils who love science and mathematics to achieve greater understanding of scientific and mathematical ideas and concepts. While preparing for these exams, they are motivated to improve their analysing, problem solving and logical reasoning skills.

Participation is open to students from classes 1 to 12. There is a different question paper for each class.

Examination pattern

The Olympiad is conducted at two levels. Level 1 is of 60 minutes duration and comprises 35 multiple-choice questions of the objective type for classes 1 to 4 and 50 such questions for classes 5 to 12. There are four sections in the question paper:

  • Mathematical Reasoning
  • Logical Reasoning
  • Everyday Mathematics
  • Achievers

The details are as follows:

Classes Exam SectionNo. of QuestionsMarks per question
1-4 Mathematical Reasoning 10 1
Logical Reasoning 10 1
Everyday Mathematics 10 1
Achievers 5 2
Total 35
5-12 Mathematical Reasoning 20 1
Logical Reasoning 15 1
Everyday Mathematics 10 1
Achievers 5 3
Total 50

Level 2 is conducted for classes 3 to 12.


All the questions are of the multiple choice type and the medium of instruction is English. The exam is held at two levels. The first level is conducted in the schools during normal school hours. The duration of the exam is 60 minutes. Students from classes 1 to 4 have to solve 35 questions and those from classes 5 to 12 have to solve 50 questions. Optical mark recognition (OMR) sheets are provided to the students to mark their answers.

For classes 1 to 10, the question paper consists of three sections, i.e., logical reasoning, science and achievers, whereas for classes 11-12, the sections are mathematics/biology, achievers, and physics and chemistry.

The details are as follows:

Classes Exam SectionNo. of QuestionsMarks per question
1-4 Science 25 1
Logical Reasoning 5 1
Achievers 5 2
Total 35
5-10 Science 35 1
Logical Reasoning 10 1
Achievers 5 3
Total 50
11-12 Maths/Biology 20 1
Physics and Chemistry 25 1
Achievers 5 3
Total 50

Only those who have cleared the first level are entitled to appear for the second level. Approximately 5% of the top performers from the first level take the second level of the exam. Marks scored in different sections are given due weightage.

Equal importance is given to each level of the exam.

Syllabus for NSO and IMO

The question papers cover state board, ICSE and CBSE syllabi for science. A separate question paper is set for each class and English is the medium of instruction. More information about the exams can be obtained through telephone at 0124-4951200.

Conditions for eligibility for NSO and IMO conducted by the SOF

Students from class 1 to 12 can appear for the first level and there is no other criterion such as minimum marks. Those who qualify for the second level include:

  • Top 5% performers, class-wise, from the first level
  • Top 25 class-wise rank holders from each zone
  • The class topper, where at least 10 students have appeared from a class, provided they score 50% marks or more
  • Students from classes 1 and 2 are not required to take the second level and are ranked on the basis of the first level only
NSO programme run by the Department of Science & Technology

The Homi Bhabha Centre for Science Education (HBCSE), Mumbai, also runs an NSO programme to promote excellence in mathematics and science among pre-university students. The government of India financially supports the programme, mainly through the Ministry of Earth Sciences, Ministry of Human Resource Development, Department of Space, Board of Nuclear Sciences and Department of Science and Technology. Junior science, physics, chemistry, biology, earth science and astronomy are covered. More details are available at the HBCSE website.

Important dates for INMO, NSO and IMO
Events Dates
List of registered centres available June 20, 2017
Registration for pre-RMO (PRMO) June 20 to July 25, 2017
PRMO exam August 20, 2017
PRMO results September 15, 2017
RMO exam October 8, 2015
RMO results December 7, 2017
INMO exam January 21, 2018
Event Dates
First level exam November 9 and 23, 2017
Event Dates
First level exam December 5 and 14, 2017