### Asiarope Mathematics Olympiad

The **ASIAROPE Olympiad** is an international competition in Mathematics, Science, and English Journalism for Primary Levels (Grades 1 to 6), Secondary Levels (Secondary 1 to 4) and Senior Secondary Levels (Grade 11 & 12). It aims to promote excellence and proficiency in Mathematics, Science and Technology, and English Journalism through friendly global competitions and to promote tourism of and for Asia and Europe.

### THE ORGANISATION BEHIND ASIAROPE

ASIAROPE is organized by the GLOBAL LEAGUE OF WINNERS, INC. or **GLOW**. It is a duly registered nonstock, nonprofit organization operating in Cebu City, Philippines, with a number of Ambassadors coordinating with its promotion and administration. It is also promoted worldwide by partner organizations in different countries.

**OLYMPIAD INDIA** is a Partner of **GLOW** to promote and conduct ASIAROPE Mathematics and Science Olympiads in **INDIA** along with other Indian Subcontinent Countries.

Category 1 – Kindergarten and Primary 1

Category 2 – Primary 2 and 3

Category 3 – Primary 4 and 5

Category 4 – Primary 6 and Secondary 1

Category 5 – Secondary 2 and 3

Category 6 – Secondary 4, Senior Secondary (Grades 11 and 12)

Total No. of Questions : 20

Multiple Choice Question : 15 (4 Points for Each Correct Answer)

Short Answer Question : 5 ( 6 points for Each Correct Answer)

Total No. of Points / Marks : 90

No Negative / Deduction of point for Incorrect answer.

Test Duration : 90 Minutes

You are NOT ALLOWED to use any calculating device during the test paper.

**Scope for Categories 1, 2, and 3**

A. Number Theory – Number & Number Sense, Fundamental Operations, Cryptarithm/Alphametics, Least/Greatest Number, Ordinals, Fractions, and Other Operations.

B. Logical Analysis – Comparison and Replacement, Excess-Shortage Calculations, Assumptions (Cars & Bicycles, Chicken & Rabbit), Recursive Patterns, Page Number Problems, Tessellations; Shortest Path Analysis, Abstract Reasoning and Data Handling.

C. Geometry – Perimeter, Area, Geometric Figures (Counting Figures and Symmetry), and Measurements of Time, Money, Temperature, etc.

D. Combinatorics – Pigeonhole Principle, Counting Principle, Arrangement, and Probability.

**Scope for Category 4, 5, and 6**

A. Number Theory – Number & Number Sense; Real Numbers; Infinite Complex Fractions; Divisibility; Ratio, Proportion and Variations; Indices and Radicals; Bases other than 10; Modular Arithmetic, Diophantine Equation and Euclidean Algorithm; Fermat’s Theorem; Sums of Divisors; The Φ Function; Wilson’s Theorem; The Pell Equation; and General Methods.

B. Logical Analysis – Mathematical Induction; Infinite Series; Progressions (Sequences & Series); Summation; Set Theory; Model Theory; and Recursion Theory and Data Handling.

C. Algebra – Indices and Radicals; Factorization and Manipulations; Polynomials; Functions (Transformation and Inversion); Linear & Quadratic Functions; Systems of Linear & Quadratic Equations; Absolute Value Inequalities; Trivial Inequality; Linear & Quadratic Inequalities; Binomial Theorem; Remainder Theorem; Rational Expressions; Exponential and Logarithmic Functions

D. Geometry – Plane Figures (Perimeters, Areas); Analytic Geometry (Coordinates, Distance, Slopes, Circles & Conics); Three Dimensional Geometry (Cubes, Boxes, Cylinders, Spheres, Prisms, Cones, Pyramids, and Polyhedron); Translations (Shifts, Turns, Flips, Stretches, Squeezes); Triangles (Angles and Trigonometric Functions) and Triangle Similarities & Congruencies; and Quadrilaterals and Polygons.

E. Combinatorics – Identities; Pascal’s Identity; Binomial Theorem; Counting and Probability (Constructive Counting, 1-1 Correspondence, Pigeonhole Principle); Fibonacci Numbers, Recursion; Permutation; Combination; Expectation; Conditional Probability; and graph theory.

**A. National Round –** ASIAROPE Olympiad Awards Committee shall recognize the participants in this manner:

a. Higher 60% of the total number of participants shall qualify to the International Round and shall be entitled to one of these awards based on their scores:

78 – 90 marks – Diamond Medal & Certificate

65 – 77 marks – Gold Medal & Certificate

52 – 64 marks – Silver Medal & Certificate

Below 52 marks and Remaining

Participants in the 60% cut – Bronze Medal & Certificate

Top Scorers per Level – Trophy

b. Lower 40% of the participants – Honorable Mention Certificate

**B. Global Round –** ASIAROPE Olympiad Awards Committee shall recognize and award the participants based on the following criteria:

78 – 90 marks – Diamond Medal & Certificate

65 – 77 marks – Gold Medal & Certificate

52 – 64 marks – Silver Medal & Certificate

Below 52 marks and Remaining

Participants in the 60% cut – Bronze Medal & Certificate

Special Awards – For every level, the ASIAROPE Olympiad Awards Committee shall give additional awards to:

Perfect Scorer* – Cash

Champion (Rank 1) – Trophy

First Runner Up (Rank 2) – – Trophy

Second Runner Up (Rank 3) – Trophy

All Participants – Bag of Souvenirs

(T-shirt, pins, keychains, etc.)