Mathematical equations written on a chalkboard
Royal Mathematics Olympiad

Royal Mathematics Olympiad (RMO)

Sharpen numerical reasoning, logic and problem-solving across all school levels.

Overview

About the Examination

The Royal Mathematics Olympiad (RMO) is a national talent examination designed to test and strengthen a student's mathematical foundation. Rather than rewarding rote calculation, RMO challenges students to reason logically, recognise patterns and apply concepts to unfamiliar problems.

From number sense in the early years to algebra, geometry and data handling in the senior classes, the Olympiad grows with the student. It is an ideal preparation ground for future competitive examinations and builds the confidence to tackle challenging problems calmly.

Eligibility

Who Can Participate

The RMO is open to all school students from Class 1 to Class 10. Separate, age-appropriate question papers are set for each class, so every student is assessed against peers at the same level.

  • Individual papers for each class from 1 to 10.
  • Students register through their school as the nodal centre.
  • No qualifying round — every enrolled student may appear.
Exam Pattern

Structure & Marking

Objective, multiple-choice format. The Achievers Section carries higher weight to distinguish top performers.

Indicative pattern — question counts may vary slightly by class.
SectionQuestionsMarks / QuestionTotal Marks
Logical Reasoning10110
Mathematical Reasoning15115
Everyday Mathematics10110
Achievers Section5210
Total4045

Duration: 60 minutes  ·  Mode: School-based (offline) or supervised online.

Syllabus

Syllabus by Class Group

Classes 1–2 Foundation

Numbers up to 100, shapes, patterns, measurement, time, money and simple logical sequences.

Classes 3–4 Primary

Four operations, fractions, geometry basics, data handling and everyday word problems.

Class 5 Upper Primary

Factors and multiples, decimals, area and perimeter, symmetry and logical reasoning.

Classes 6–7 Middle

Integers, ratio and proportion, algebraic expressions, mensuration and data interpretation.

Class 8 Middle

Rational numbers, linear equations, quadrilaterals, exponents and graphs.

Classes 9–10 Secondary

Polynomials, coordinate geometry, trigonometry, statistics, probability and problem solving.

Important Dates

Key Dates 2025–26

  • 31 Aug 2025Registration OpensSchools begin enrolling students for the session.
  • 15 Oct 2025Registration ClosesLast date for schools to submit participant lists.
  • 22 Nov 2025Level 1 ExaminationConducted at respective school centres.
  • 10 Jan 2026Results DeclaredScore reports shared with schools and students.
  • Feb 2026Awards CeremonyFelicitation of national and state rank holders.
Awards & Recognition

Rewards for Excellence

National Rank Holders

Cash prizes, laptops, medals and certificates of national merit.

State & Zonal Toppers

Trophies, gift vouchers and certificates of excellence for regional leaders.

Every Participant

A certificate of participation and a detailed performance report.

FAQ

Frequently Asked Questions

Registration is handled through the school. Once your school partners with ROF, the coordinator enrols interested students and shares exam details. Schools can register with us on the School Registration page.

School Registration

No. There is no negative marking in the RMO, so students are encouraged to attempt every question.

Students need their admit card, a pen or pencil and standard geometry instruments where applicable. Calculators are not permitted.

Free syllabus and sample papers are available on our Question Papers page, and a timed Mock Test helps students practise the format.

Question Papers

Ready to Begin

Give Your Students a National Stage

Register your school for the Royal Mathematics Olympiad and unlock certificates, scholarships and rewards for your students.