A problem involving a 60-digit number made of ones and eights, requiring a proof of divisibility by a 30-digit number consisting only of nines.

The materials for the include problems and solutions for both the Fall and Spring rounds.

For additional preparation, you can browse the full archive of past tasks or review categorized problems on Shkolkovo . Fourty seventh Tournament of Towns, 2025 – 2026

The competition is split into two main seasons, each offering a "Basic" (easier) and a "Senior/Advanced" (harder) paper. Basic Variant: October 5, 2025. Advanced Variant: October 19, 2025. Spring Round (2026): Basic Variant: March 1, 2026. Advanced Variant: March 15, 2026. Final Oral Round: March 29, 2026. Sample Problems from the 47th Tournament