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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:
The MetaShkola website (Russian language) provides past problems and solutions. 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: You have 9 identical-looking coins, but one is
Platforms like YouTube offer walkthroughs for similar Russian-style olympiad problems. Find the smallest natural number whose digits sum
A farmer needs to transport a wolf, a goat, and a cabbage across a river in a boat that can only hold himself and one other item. If left alone, the wolf eats the goat, and the goat eats the cabbage. How many trips across the river are required to get everyone safely to the other side?
A square piece of paper is folded in half twice to form a smaller square. A corner of this small square is cut off. When the paper is unfolded, how many holes will there be, and what shape will they form?