Copernicus
Mathematics Olympiad
Mathematics is everywhere: in the rhythm of music, the design of nature, the flow of traffic, and the rise and fall of economies. It’s not just numbers on a page; it’s a language that explains how the world works. The Copernicus Mathematics Olympiad is where this sense of wonder turns into problem-solving power.
This Olympiad isn’t just about formulas and memorization. It’s about the elegance of logic, the beauty of symmetry, and the thrill of unlocking solutions that once seemed impossible. Students dive into challenging problems that stretch their thinking, sharpen their reasoning, and train them to see the world with a mathematician’s eye.
Mathematics Olympiad
Rules And Regulations
Please ensure you carefully follow all exam rules and regulations:
- The Copernicus Mathematics Olympiad is an international competition open to students from Grades 2 to 12.
- The Olympiad consists of two rounds – the Preliminary Round and the Global Round.
- Students may register online via website or get registered through their schools.
- All registered participants must take an online qualifying exam as part of the Preliminary Round.
- The examination process is divided into two rounds.
How to Qualify?
Copernicus Mathematics Olympiad
Here are some guidelines to follow for qualifying in Mathematics Olympiad,
1.
The exam includes a total of 20 questions: 15 multiple-choice questions and 5 open-ended questions designed to assess deeper understanding and critical thinking.
2.
The duration of this paper is 90 minutes.
3.
Students must take the exam based on their respective grade category:
✔ Category 1 – Grades 2, 3 & 4
✔ Category 2 – Grades 5 & 6
✔ Category 3 – Grades 7 & 8
✔ Category 4 – Grades 9 & 10
✔ Category 5 – Grades 11 & 12
4.
Students who score at least 40% in the Preliminary Round are eligible to participate in the Global Round.
5.
Global Round qualifiers must complete a separate registration on the official website.
6.
Details regarding the date and venue of the Global Round will be announced shortly.
7.
The Global Round exam features 20 questions: 15 multiple-choice questions and 5 open-ended questions covering Mathematics, with subcategories similar to those in the Preliminary Round.
Mathematics Olympiad
Awards
Below are the Award details for both the Preliminary and Global Rounds of the Mathematics Olympiad.
Preliminary
Round:
- All Preliminary Round participants, regardless of score, will receive a Certificate of Participation.
- Students who qualify for the Global Round will receive a Certificate of Achievement and a medal (gold, silver or bronze) based on their Preliminary Round performance.
- In the Preliminary Round, medals will be awarded based on the following percentages :
- 40% to 49% – Honorable Mention Certificate
- 50% to 74% – Bronze Medal
- 75% to 90% – Silver Medal + 5% discount in the Global Round registration fees
- 91% to 100% – Gold Medal + 10% discount in the Global Round registration fees
- Absolute winners (youngest top scorers) of each category will receive free participation in the Global Round.
Global
Round
- All Global Round participants, regardless of score, will receive a Certificate of Participation.
- In the Global Round, medals will be awarded based on the following percentages:
- The top 10% will receive a Gold Medal.
- The next 11-30% will receive a Silver Medal.
- The next 31-60% will receive a Bronze Medal.
- The next 61-75% will receive an Honorable Mention Certificate.
Category (1 - 5)
1st place – iPad / MacBook
2nd place – Oculus Quest 2
3rd place – Apple Watch SE
Syllabus
Mathematics Olympiad
Category 1 (Grades 3 & 4)
Mathematics
- NUMBER OPERATIONS
Addition, subtraction, multiplication, and division
of numbers up to 10,000.
Understanding place value and number
properties.
Rounding numbers to the nearest 10, 100, or
1,000. - FRACTIONS
Addition, subtraction, multiplication, and division
of fractions.
Understanding equivalent fractions.
Simplifying fractions.
Comparing and ordering fractions. - DIVISIBILITY AND PRIME NUMBERS
Rules of divisibility by 2, 3, 4, 5, 6, 7, 8, 9, 10, 11,
and 13.
Identifying prime and composite numbers.
Finding factors and multiples of numbers.
Prime factorization. - MEASUREMENT
Understanding systems of measurement (length,
area, volume, mass, and time).
Converting between different units of
measurement.
Solving problems involving units of measurement
in real-life contexts.
Geometry
5. GEOMETRY
Recognizing and classifying geometric figures (e.g.,
triangles, quadrilaterals, circles, etc.).
Understanding properties of shapes (sides, angles,
and symmetry).
Parallel and perpendicular lines.
Area and perimeter of rectangles.
Introduction to the area of other basic geometric
shapes.
6. MATHEMATICAL LOGIC
Using logical reasoning to solve mathematical
puzzles.
Understanding statements that are true or false.
Applying logical thinking in problem-solving
contexts.
Data Interpretation
Reading and interpreting bar graphs.
Understanding and creating Venn diagrams.
Solving problems using data presented in different
formats (tables, charts, graphs).
7. WORD PROBLEMS
Solving word problems involving addition,
subtraction, multiplication, and division.
Applying mathematical concepts to real-life
scenarios.
1 multi-step word problems.
Patterns and Sequences
Recognizing and continuing patterns in sequences.
Identifying arithmetic and geometric sequences.
Understanding number patterns and finding
missing elements.
8. TIME AND CALENDAR
Reading time on analog and digital clocks.
Understanding AM and PM.
Calculating elapsed time.
Understanding days, weeks, months, and years.
Category 2 (Grades 5 & 6)
NUMBERS AND ARITHMETIC
1.1 Arithmetic Operations:
Addition, subtraction, multiplication, and division with
whole numbers.
Operations with decimals, fractions, mixed fractions,
and improper fractions.
Order of operations (using parentheses).
Factors and Multiples:
Understanding factors, multiples, and divisibility rules.
Identifying prime and composite numbers.
Greatest Common Divisor (GCD) and Least Common
Multiple (LCM).
1.2 Percentage:
Converting between fractions, decimals, and
percentages.
Solving simple percentage problems (e.g., finding
percentages, increasing or decreasing a
quantity by a percentage.
2. ALGEBRA AND EQUATIONS
2.1 Linear Equations:
Solving simple one-step linear equations.
Understanding and using variables in equations.
Applying linear equations to solve word problems.
2.2 Simple Interest Calculations:
Understanding the concept of interest.
Calculating simple interest using the formula, where P
is the principal amount, R is the rate,
and T is the time period.
GEOMETRY
3.1 Properties of Geometric Figures:
Understanding properties of squares, rectangles,
triangles, parallelograms, and trapezoids.
Identifying sides, angles, and diagonals.
3.2 Angles:
Identifying and measuring acute, right, and obtuse
angles.
Understanding complementary and supplementary
angles.
3.3 Perimeter and Area:
Calculating the perimeter of polygons.
Finding the area of triangles, squares, rectangles,
parallelograms, and trapezoids.
3.4 Volume:
Calculating the volume of cubes and cuboids using
the formula, where l, w, and h are the length,
width, and height, respectively.
3.5 Line of Symmetry:
4. 5. Identifying lines of symmetry in various
shapes.
Understanding symmetry in regular polygons.
4. MEASUREMENT AND SIMPLE STATISTICS
4. 1 Measurement:
Understanding different units of measurement for
length, area, volume, and mass.
Converting between different units of
measurement.
4.2 Simple Statistics:
Calculating and interpreting mean, median, and
mode.
Reading data from charts, graphs, and tables.
Understanding range as a measure of data
variability.
5. RATIOS AND PROPORTIONS
5.1 Understanding Ratios:
Solving problems involving ratios.
Using ratios to compare quantities.
5.2 Proportions:
Solving simple proportions.
Applying proportions to solve real-life problems.
Problem-solving and logical thinking
6. PROBLEM SOLVING AND LOGICAL THINKING
6.1 Word Problems:
Translating word problems into mathematical
expressions or equations.
Solving multi-step word problems using arithmetic
and basic algebra.
Pattern Recognition and Logical Reasoning:
Identifying patterns and sequences in numbers.
Using logical reasoning to solve math puzzles.
All topics of Category 1 (Grades 2-3-4).
Category 3 (Grades 7 & 8)
Numbers and Algebra
1.1 Advanced Topics in Fractions:
Operations with fractions and mixed numbers.
Simplifying complex fractions.
Conversion between improper fractions and mixed
numbers.
1.2 Squares and Square Roots:
Understanding perfect squares.
Calculating square roots (exact and approximate).
Simplifying square roots.
1.3 Rational and Irrational Numbers:
Identifying rational and irrational numbers.
Operations involving rational numbers.
Understanding decimal representations (terminating,
repeating, and non-repeating).
1.4 Simple Algebraic Expressions:
Simplifying expressions using the distributive property
and combining like terms.
Evaluating expressions for given variable values.
1.5 Equalities and Inequalities:
Solving linear equations and inequalities.
Graphing inequalities on a number line.
Understanding absolute value inequalities.
2. EQUATIONS AND FUNCTIONS
2.1 System of Equations:
Solving systems of linear equations using substitution
and elimination methods.
Application of systems in word problems.
2.2 Linear Functions:
Understanding slope and intercept.
Graphing linear functions.
Solving real-life problems using linear equations and
graphs.
3. RATIOS, PROPORTIONS, AND COMBINATORICS
3.1 Ratio and Proportion:
Solving problems involving ratios, rates, and
proportions.
Applying proportions to real-world problems.
3.2 Simple Combinatorics and Probability:
Basic counting principles (addition and multiplication
rules).
Introduction to permutations and combinations.
Basic probability concepts and calculations.
Geometry
4.1 Regular Polygons:
Properties and characteristics of regular polygons.
Calculating interior and exterior angles.
4.2 Area and Circumference of a Circle:
Using formulas to calculate the area and
circumference of circles.
Solving problems involving arc length and sector
area.
4.3 Area and Perimeter of Composite Figures:
Calculating the area and perimeter of shapes
composed of multiple geometric figures.
4.4 Pythagorean Theorem:
Applying the Pythagorean Theorem to find the
length of a side in a right triangle.
Solving real-world problems using the Pythagorean
Theorem.
4.5 Congruence and Similarity:
Understanding the properties of congruent and
similar shapes.
Solving problems involving scale factors and
transformations.
5. MEASUREMENT
5.1 Volume and Surface Area:
Calculating the volume and surface area of prisms
and cylinders.
Solving problems involving composite three-
dimensional figures.
6. COORDINATE GEOMETRY
6.1 Basic Concepts:
Plotting points on the Cartesian plane.
Understanding the distance between two points
and the midpoint formula.
6.2 Graphing Linear Equations:
Finding the equation of a line given two points or a
point and a slope.
Understanding the relationship between graphical
and algebraic representations of lines.
7. MATHEMATICAL REASONING AND PROBLEM
SOLVING
7.1. Solving Word Problems:
Translating word problems into mathematical
expressions or equations.
Using algebraic and geometric approaches to solve
complex problems.
7.2 Logical Reasoning and Pattern Recognition:
Identifying patterns and sequences.
Solving puzzles using logical reasoning techniques.
All topics of Category 2 (Grades 5-6)
Category 4 (Grades 9 & 10)
Numbers and Algebra
1.1. Real Numbers:
Understanding the properties of real numbers.
Operations with real numbers, including rational and
irrational numbers.
Absolute values and properties of square roots.
1.2. Advanced Topics in Exponentiation:
Properties and rules of exponents.
Negative and fractional exponents.
Simplifying exponential expressions.
1.3. Polynomials:
Addition, subtraction, multiplication, and division of
polynomials.
Factoring techniques and solving polynomial
equations.
Understanding the relationship between roots and
coefficients.
1.4. Quadratic Functions:
Graphing quadratic functions and identifying key
features (vertex, axis of symmetry,
intercepts).
Solving quadratic equations using factoring,
completing the square, and the quadratic formula.
Applications of quadratic functions in problem-solving.
2. LOGARITHMS AND EXPONENTIALS
2.1. Logarithms:
Definition and basic properties of logarithms.
Converting between exponential and logarithmic
forms.
Solving simple logarithmic equations.
2.2. Exponential Functions:
Graphing exponential functions.
Understanding exponential growth and decay.
Geometry
3.1. Coordinate Geometry:
Plotting points and graphing lines on the Cartesian
plane.
Slope, midpoint, and distance formulas.
Equations of lines, circles, and other conic sections.
3.2. Properties of Circles:
Understanding chords, tangents, and secants.
Arc lengths and sector areas.
Angle properties and theorems related to circles.
3.3. Volume and Surface Area:
Calculating the volume and surface area of
pyramids, cones, and spheres.
Solving problems involving composite three-
dimensional shapes.
3.4. Law of Sines and Cosines:
Applying the law of sines and cosines to solve
triangle problems.
Using these laws in non-right triangles and real-life
applications.
4. STATISTICS AND PROBABILITY
4.1. Mean, Median, and Mode:
Calculating measures of central tendency.
Interpreting data using these measures.
Understanding how outliers affect these measures.
4.2. Probability Basics:
Simple probability concepts.
Complementary events and independent events.
Basic combinatorics applied to probability
problems.
5. FUNCTIONS AND GRAPH INTERPRETATION
5.1. Graph Interpretation:
Reading and interpreting graphs of various
functions (linear, quadratic, exponential).
Understanding asymptotes, intercepts, and the
behavior of graphs.
5.2. Function Properties:
Understanding domain, range, and inverse
functions.
Graph transformations (shifting, stretching, and
reflecting).
6. PROBLEM SOLVING AND MATHEMATICAL
REASONING
6.1. Solving Word Problems:
Translating real-world problems into mathematical
equations.
Using algebraic and geometric approaches to solve
problems.
6.2. Logical Reasoning and Pattern Recognition:
Solving puzzles and logical problems.
Identifying patterns and sequences.
7. ADDITIONAL TOPICS
7.1. Sequences and Series:
Understanding arithmetic and geometric
sequences.
Finding the sum of finite arithmetic and geometric
series.
7.2. Inequalities:
Solving linear and quadratic inequalities.
Graphical representation of inequalities.
All topics of Category 3 (Grades 7-8).
Category 5 (Grades 11 & 12)
1.1. Advanced Topics in Algebra:
Polynomial equations and inequalities.
Rational expressions and functions.
Techniques for solving higher-degree equations.
1.2. Remainder and Factor Theorems:
Understanding and applying the Remainder Theorem.
Using the Factor Theorem to factorize polynomials. Solving polynomial equations using these theorems.
1.3. Non-Linear Equations:
Solving quadratic, cubic, and higher-degree equations.
Understanding the nature of roots (real, complex,
equal, etc.).
Application of the quadratic formula and Vieta’s
formulas.
2. INEQUALITIES AND MATHEMATICAL ANALYSIS
2.1. Advanced Topics in Inequalities:
Absolute value inequalities.
Systems of inequalities.
2.2. Summation of Series:
Arithmetic and Geometric series.
Summation techniques for more complex series.
Using sigma notation and properties of summation.
3. LOGARITHMS AND EXPONENTIALS
3.1. Advanced Topics in Logarithms:
Properties and laws of logarithms.
Solving logarithmic and exponential equations.
Applications in growth and decay problems.
4. BINOMIAL THEOREM
4.1. Application of the Binomial Theorem:
Expanding expressions using the binomial theorem.
Finding specific terms in a binomial expansion.
Applications in combinatorics and algebra.
5. COMBINATORICS AND PROBABILITY
5.1. Advanced Topics in Combinatorics:
Permutations and combinations.
Pigeonhole principle and inclusion-exclusion principle.
Advanced counting techniques.
5.2. Advanced Probability:
Conditional probability and Bayes’ theorem.
Probability distributions (basic concepts).
Solving complex probability problems.
6.1. Advanced Topics in Coordinate Geometry:
Equations of lines, circles, ellipses, parabolas, and
hyperbolas.
Solving geometric problems using coordinate
methods.
Loci and geometric transformations.
6.2. Advanced Topics in Trigonometry:
Solving trigonometric equations.
Using identities and formulas (sum, difference,
double-angle, half angle).
Trigonometric applications in geometry.
7. ADDITIONAL TOPICS
7.1. Functions and Graphing:
Understanding different types of functions (linear,
quadratic, polynomial, trigonometric,
exponential, and logarithmic).
Analyzing graphs of functions and their
transformations.
7.2. Basic Calculus (Introductory Level):
Understanding limits and continuity.
Differentiation and simple applications.
All topics of Category 4 (Grades 9-10).
FAQs
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Last date of submit the registration form for Natural Science and Physics Atronomy is 28 August 2025.
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3) Camera and Mic should be working
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