Mixed V

1992/12/01 Angulo, Patxi Iturria: Elhuyar aldizkaria

• Matematika

We return to you, that reader, was the question. Remember that we expect your questions, games, etc. Cheer up!

1. With the 9 lower triangles you have to complete the top so that the figures on the sides that come together form a chess piece.
2. Think that an AB iron of 500 meters is fixed at the ends of the floor. The summer heat causes the iron to lengthen two meters forming a bulge. Considering that iron is symmetrically anguished, what approximate height will bulge have? : 10 cm, 1 meter, … Once answered intuitively, try to calculate it.
3. Divide the attached box into two equal parts, leaving two tiles of the two colors, but without the tiles of the same color touching each other (neither on the sides nor on the vertices).
4. Based on a basic data, we reach the higher data that carries 6. To do this you have to move as many steps as points indicates the data, horizontally or vertically (up or down) each time (not both at once). For example, starting with base data 4 to the left 5,3,1,2; to the right 3,5,3,3,3,3,3,3,2 or up 3,5,4,6.
5. It is about joining the vertices of a square of 3 meters in length by the shortest road. What is the way? (not easy).
6. For the purchase of 100 birds type 5 you have 100 drakmas. A hopper is worth 2 drachmas, an owl a drachma, two papagaitxos a drachma, three Araba mirlos a drakma and four txolares a drachma. The purchase includes five types of birds. How many different purchases can be made?.
7. 40 children defended a sand castle as seen in the image, that is, each part was defended by 11 children. In the first four times, four children lost the defenders and two in the last five. However, after each attack each side of the castle was always defended by 11 children. You know how?.
8. How would you form six squares with 12 matches if the side of the squares is formed by a complete match?
9. In the lower operations (multiplication and sum) each point is a digit. Can you get a single solution?
10. In the two games of adjoining ladies is the turn of the whites and win.
11. With Roman figures the two operations are fine.
12. The sum of the figures of a number of two figures is the square of the cubic root of the number. What is the number?.
13. The red picture box (if you don't see red you lack imagination) has four red or white boxes. One of the 5 boxes has a single red (although it may have more red). In addition, a white box has a single red (although it may contain other whites) and at the same time is inside a single red. What color are the boxes?.
14. The desert is opposite. You must place the pennant at a distance of 4 days. You don't have special equipment and you can only use them by your strength. If you want you can take a friend. The pennant has no problems. However, there is a limit: water. Each person can carry water for 5 days. Therefore, if you travel alone with that amount of water you could take two and a half days in the desert and return later. How would you take the project without spending water for 20 days and with a maximum of 3 people?
15. We will not take the risk of being elusive. Observe the cube and calculate the number of surface parts separated by fine lines. Look! Continuous lines are found in the areas you see and the discontinuous lines you don't see. Be very careful! The edges of the cube do not delimit enclosures. And even more! The question of the oculist can be huge.
16. Complete the image so that five rings are joined together.
17. There are no bridges in the villas. No tunnels. Crosses are only found in cities. Each road joins two cities, but does not pass through another and does not cross another. The five cities of Isla are connected by six ways: Urban to Urban, Urban to Urban, Urban to Urban, Urban to Urban, Urban to Urban, Urban to Urban, Urban to Urban, Urban to Urban, Urban to Urban and Urban to Urban. The road that would bring Hiriño and Urbegi together would be illegal. All cities are on the coast, except the capital. It is inside. What is the name of the capital of Hirikitan?.
18. If five and four are equivalent respectively to the 9-21-11-2 and 0-4-36 series, to which series does one correspond?
19. Write a number on each brick to make it the sum of the numbers of two bricks located under it.
20. This is a variant of the Nim game: players, alternatively, remove a match, undoing one or more triangles. Therefore, in a move you can undo triangles formed by 3, 6, 9 or 12 matches. The winner will be the one who undoes the last triangle. (Ignorance of the winning strategy).
21. Three cards are face down, one of them marked. Now you have the first chance to hit the mark. I teach you without any mark which you have not chosen (for example, if you have chosen the central, one of the tips). The question is if in this second option you have to continue with the letter you have chosen or change the card? (remember that you have already seen a letter). (Montse Hermo).

This is therefore the fifth mess. We hope you like it. Don't forget what we had at first. Let this section be the meeting point for readers. Until next!