Metashkola Olimpiada Po Matematike Zadaniia -

Find the smallest natural number whose digits sum to 25 and which consists only of different digits. Sequence Logic: Look at the sequence:

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) metashkola olimpiada po matematike zadaniia

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: Find the smallest natural number whose digits sum

A rectangle is divided into three identical smaller rectangles, each with a perimeter of 20 cm. What is the perimeter of the original large rectangle?. A says: "I am the truth-teller

What is the next number in the pattern? Explain the rule used.

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)

Platforms like YouTube offer walkthroughs for similar Russian-style olympiad problems.