A mathematical problem that will help strain the gyrus and pass a languid evening

Geometry is an important science that not only gives a person an idea of figures, but also teaches him to think, analyze, find patterns. The ability to search for an area, volume or circle will definitely be useful in life, not to mention many other skills and knowledge.

And today's edition. "Site" invites readers to recall a little forgotten lessons of geometry and understand, how many figures in the drawing. Keep in mind that the first option that came to mind is likely to be incorrect. Think carefully before giving a final answer.



How many figures are in the drawing?

1. Take a close look at the picture below. There are two separate squares, each of which consists of several more squares. With the first (simple) figure, everything is clear - there are 5 squares. We need to figure out why this is so much. What number should I put in instead of a question mark?
   
   
   
   
2. The following picture shows squarewhich is divided into many parts. There are many triangles to be found here. Try to figure out what the maximum number of triangles is.
   
   
   
   
3. In the last task there are two squares, each of which is divided into four parts. Try to calculate how many squares and triangles have formed here. Don’t forget to write your answers in the comments.
   
   
   
   

Task tips

1. An attentive reader will immediately count one large square and nine small squares. However, four more squares can also be found, each consisting of four cells. So we get 1 + 9 + 4 = 14 squares.
   
   
   
   
2. We were able to count 16 triangles in the second task: four large, four medium and eight small. If you managed to find more such figures, then share your findings under this article. We may have missed some detail.
3. In the last task, it is easy to see that there are only three squares in the drawing. There are many more triangles. We managed to count 18 such triangular shapes: two large triangles, 8 medium and 8 small triangles. Did you do the same?
   
   
   
   

We also propose to solve children's mathematical examples that stupor even adults and educated people. And also try to understand the logical problems from the notebook of the old physicist. This kind of thinking will definitely not hurt anyone.