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
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. For additional preparation, you can browse the full
table filled with plus and minus signs, where they take turns crossing out rows and columns. A game theory problem between Alice and Bob
A game theory problem between Alice and Bob involving a Advanced Variant: October 19, 2025
A geometry problem about a regular octahedron with its faces divided into smaller triangles, asking for the maximum number of non-adjacent triangles that can be colored.
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
The materials for the include problems and solutions for both the Fall and Spring rounds.