James has 10 sticks 50 cm long. He wants to cut them so that 50 sticks with a length of 10 cm are obtained.
How many cuts will he have to make?

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In a 7×7 square, paint over several cells so that there are exactly three painted cells in each row and in each column.

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How many three-digit numbers have 0 as the middle digit?

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On an island of knights and liars (knights always tell the truth and liars always lie) in some company each declared to the others: "There are two knights among you."
How many knights could there be in this company?

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The store sells chocolate in the form of letters of the English alphabet. The same letters have the same price, and different ones have different prices. It is known that the word ONE costs $6, the word TWO costs $9, and the word ELEVEN costs $16.
How much does the word TWELVE cost?

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Lucas borrowed $19 from James, pledging to return it within 4 months. Moreover, every month the amount of payment should grow, amount to an integer number of dollars and be completely divided by the amount of payment in the previous month.
How much will Lucas pay in the last month?

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Find the largest natural number, any two consecutive digits of which form an exact square.

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