MathProblem 💙💛
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Recreational mathematics.

Of the 12 coins, only 1 is false, and it is a different weight than the real coin.
How do you find a counterfeit coin in 3 weighings on a two-cup scale without weights?

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The Niagara Falls excursion goes 30 schoolchildren along with their parents, some of whom are driving cars. Five people, including the driver, fit in each of the cars. What is the smallest number of parents that should be invited on the field trip?

📜 Leaflet #estimation_plus_example

📚 Estimation plus example is a special mathematical reasoning that applies in some problems on finding the greatest or least values. In all problems of this kind, two things must be done:
1) give an example to prove that the answer you get is correct;
2) come up with an estimate that proves that the smaller/larger number somehow contradicts the condition.

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What is the maximum number of consecutive five-digit numbers that have the following property: each number cannot be represented as the product of 2 three-digit numbers?

📜 Leaflet #estimation_plus_example

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An electronic clock shows the time in a standard format (e.g., 20:27). Find the largest possible value of the product of digits on such a clock.

📜 Leaflet #estimation_plus_example

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