High School Divison

Challenges

High School Division

Scope of Assessment

The High School Division advances analytical depth and abstraction, integrating formal mathematical reasoning with scientific modeling.

Core areas include:

  • Algebra II & advanced functions

  • Euclidean & coordinate geometry

  • Introductory calculus concepts

  • Physics & chemistry fundamentals

  • Data analysis & probability

National Qualifying Round

Format

  • Online timed examination

  • 25–30 analytical problems

Focus Areas

  • Polynomial functions

  • Systems of equations

  • Scientific interpretation

  • Kinematics basics

  • Statistical reasoning

Sample Questions

Solve:

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

Solve the inequality:

$$\frac{x-3}{x+1}\le0$$

See a sample exam
See a sample exam

Local School Examinations

Format

  • Structured written exam

  • Proof-style reasoning introduced

Focus Areas

  • Trigonometric identities

  • Geometric proofs

  • Chemical reaction rate interpretation

  • Experimental data evaluation

Sample Questions

Evaluate:

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

Find the derivative of:

$$f(x)=x^3-4x^2+6x$$

See a sample exam
See a sample exam

International Finals

Format

  • Extended proof-based problems

  • Applied interdisciplinary tasks

  • Faculty panel review (select divisions)

Focus Areas

  • Multi-variable reasoning

  • Optimization concepts

  • Advanced scientific modeling

  • Applied physics problems

Sample Questions

Find the maximum value of:

$$f(x)=-x^2+8x-10$$

Prove the identity:

$$\cos^2\theta-\sin^2\theta=\cos(2\theta)$$

See a sample exam
See a sample exam