In a bookcase, there are four volumes of the collected works of Astrid Lindgren, with each volume containing 200 pages. A worm who lives on this bookshelf has gnawed its way from the first page of the first volume to the last page of the fourth volume. Through how many pages has the worm gnawed its way through?
Can the equality \(K \times O \times T = U \times W \times E \times N \times H \times Y\) be true if the numbers from 1 to 9 are substituted for letters instead of the letters? Different letters correspond to different numbers.
In two purses lie two coins, and one purse has twice as many coins as the other. How can this be?
Gerard says: the day before yesterday I was 10 years old, and next year I will turn 13. Can this be?
We call a natural number “amazing” if it has the form \(a^b + b^a\) (where \(a\) and \(b\) are natural numbers). For example, the number 57 is amazing, since \(57 = 2^5 + 5^2\). Is the number 2006 amazing?
Homework. Cut a hole in an exercise book of a size so that you yourself can climb through it.
Henry did not manage to get into the elevator on the first floor of the building and decided to go up the stairs. It takes 2 minutes to rise to the third floor. How long does it take to rise to the ninth floor?
Is it possible to arrange 6 long round pencils so that each of them touches all the other ones?
With the help of scissors, cut a hole in a notebook through which an elephant could climb!
One and a half diggers dig for a half hour and end up having dug half a pit. How many pits will two diggers dig in two hours?