High School Competitions

Advanced algebra, geometry, science interpretation, and early proof-style thinking for high school competitors.

Scope of Assessment

High School Competitions advance analytical depth and abstraction, integrating formal mathematical reasoning with scientific modeling.

01Algebra II and advanced functions

02Euclidean and coordinate geometry

03Introductory calculus concepts

04Physics and chemistry fundamentals

05Data analysis and probability

Each category moves through a full competition sequence: online qualification, supervised school examination, and international finals.

Format: online timed examination with 25-30 analytical problems.

Sample Questions

Solve: $$x^2-7x+10=0$$

Solve the inequality: $$\frac{x-3}{x+1}\le0$$

Format: structured written exam with proof-style reasoning introduced.

Sample Questions

Evaluate: $$\sum_{k=1}^{4}\frac{1}{k(k+1)}$$

Find the derivative of: $$f(x)=x^3-4x^2+6x$$

Format: extended proof-based problems, applied interdisciplinary tasks, and faculty panel review for select categories.

Sample Questions

Find the maximum value of: $$f(x)=-x^2+8x-10$$

Prove the identity: $$\cos^2\theta-\sin^2\theta=\cos(2\theta)$$