Metashkola Olimpiada Po Matematike Zadaniia Page

Three people (A, B, and C) are in a room. One always tells the truth, one always lies, and one can do both. A says: "I am the truth-teller." B says: "A is the liar." C says: "I am the one who can do both."Identify who is who. Part 2: Number Theory & Arithmetic (10 points each)

You have 9 identical-looking coins, but one is slightly lighter than the rest. Using a balance scale, what is the minimum number of weighings needed to guarantee finding the fake coin? Preparation Resources To prepare for the official rounds, students often use: metashkola olimpiada po matematike zadaniia

Platforms like YouTube offer walkthroughs for similar Russian-style olympiad problems. Three people (A, B, and C) are in a room

A three-digit number is divisible by 9. If you swap the first and last digits, the new number is also divisible by 9. How many such numbers exist where the middle digit is 5? Part 3: Geometry & Spatial Thinking (15 points each) Part 2: Number Theory & Arithmetic (10 points