IOQM Resource Center

The first step in Math Olympiad in India. Past papers, sequential hints and training resources.

IOQM 2024
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IOQM Resource Centre

A resource page for students of Grades 8–12, providing essential information, preparation guidance, and past question papers for the Indian Olympiad Qualifier in Mathematics (IOQM).

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Past Papers

Past Papers of PRMO (Pre Regional Math Olympiad India) and IOQM

PRMO 2012
PRMO 2013
PRMO 2014

PRMO 2015
PRMO 2016
PRMO 2017

PRMO 2018
PRMO 2019
IOQM 2021

IOQM 2022
IOQM 22-23
IOQM 23-24
IOQM 24-25

Pre-Regional Math Olympiad (PRMO) 2019 Problems

Problem 2: Functions and Equations
Problem 3: Factors and Multiples
Problem 4: Direction and Angles
Problem 5: Two Arrangements
Problem 6: Prime Factor
Problem 7: Lines and Angles
Problem 8: Divisibility Problem
Problem 9: Rational Number and integers
Problem 10: Triangles and Internal Bisectors

Problem 11: Trigonometry
Problem 12: Good numbers
Problem 13: Smallest Positive Value
Problem 14: Smallest Positive number
Problem 15: Regular Polygon
Problem 16: Pen and Note-books Problems
Problem 17: Largest Possible value
Problem 18: Ordered Pairs
Problem 19: Ratio of the areas

Problem 20: Sum of Digits
Problem 21: Largest Prime Factor
Problem 22: Greatest Integer
Problem 23: Hidden Triangular Inequality
Problem 24: Rectangle and Square
Problem 25: Diameter of a circle
Problem 26: Positive Integers
Problem 27: Rearrangement

Problem 28: Triangle and integer
Problem 29: Area of triangle and integer
Problem 30: Natural numbers

All papers

Pre-Regional Math Olympiad (PRMO) 2018 Problems

Problem 1: Prime Factor of Last Page
Problem 2: Area of Inradius
Problem 3: Digits of Number
Problem 4: Integer
Problem 5: Trapezium
Problem 6: Integer
Problem 7: Circumscribed Circle of the Hexagon

Problem 8: Angles in a Circle
Problem 9: Quadratic Equations
Problem 10: Medians of Triangle
Problem 11: Combination of Cups
Problem 12: Problem on Triangle
Problem 13: Medians
Problem 14: Nearest value

Problem 15: Smallest value
Problem 17: Sum of sides of Triangle
Problem 19: Digits Problem
Problem 20: Integer based Problem
Problem 21: Centroids and Area
Problem 22: Good numbers Problem
Problem 23: Inequality Problem

Problem 25: Perfect Cubes
Problem 26: Chessboard Problem
Problem 27: Colour Problem
Problem 28: Chocolates Problem
Problem 29: Measure of Angle
Problem 30: Polynomial Problem

All papers Alternatively, download PRMO 2018 question paper

Pre-Regional Math Olympiad (PRMO) 2017 Problems

Problem 1: Positive Integers
Problem 2: Real Surds
Problem 3: Time and Work
Problem 4: Roots and coefficients of equations
Problem 5: Geometric Progression and Integers
Problem 6: Series Problem
Problem 7: Integers and Inequality

Problem 9: Number of ways
Problem 10: Number of ways of arrangement
Problem 11: Trigonometry and Natural Numbers
Problem 12: Problem on Ratio
Problem 13: Kite in a Circle
Problem 14: Geometric Progression
Problem 15: Average and Integers

Problem 16: GP and 2 digit numbers
Problem 17: Altitudes of Triangle
Problem 18: Real numbers
Problem 19: Roots of Equation
Problem 20: Sides of Quadrilateral
Problem 21: Ordered Triples
Problem 22: Non-Parallel lines

Problem 23: Solving Equations
Problem 25: Area of Triangles
Problem 26: Area of a part of a circle
Problem 27: Circle in Circle
Problem 29: GCD and Primes

All papers Alternatively, download PRMO 2017 question paper

Pre-Regional Math Olympiad (PRMO) 2016 Problems

Problem 6: Sum of Digits
Problem 7: Sum of two digit numbers
Problem 8: Roots of Equations
Problem 10: Triangle Problem
Problem 14: Trigonometry

All papers

Pre-Regional Math Olympiad (PRMO) 2015 Problems

PRMO 2015 A Problems and Solutions
PRMO 2015 B Problems and Solutions

All papers

IOQM Resource Center

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Math Olympiad in India | A Comprehensive Guide

What Is RMO and How to Prepare for It?

Past Papers

Pre-Regional Math Olympiad (PRMO) 2019 Problems

Pre-Regional Math Olympiad (PRMO) 2018 Problems

Pre-Regional Math Olympiad (PRMO) 2017 Problems

Pre-Regional Math Olympiad (PRMO) 2016 Problems

Pre-Regional Math Olympiad (PRMO) 2015 Problems