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5 Math Problems to Test Anyone with a Sharp Mind

Mathematics is one of the most important sciences ever developed by mankind. As it is fundamental for any and all calculations, without Mathematics we would not have developed computers or reached space. The fact is that this fascinating discipline, in addition to being essential in our daily lives, allows us to train our brain through exercise, thus contributing to the health of this organ. For these and other reasons, we have prepared five mathematical challenges that you can try to solve alone or as a family.

O awesome.club suggests that you solve the problems below to test your talent not only for Mathematics, but also for logical reasoning.

1. What number should be put in place of the question mark?

Click on the image to see the answer
Click on the image to see the answer

2. Find out which numbers should go in place of question marks

Click on the image to see the answer
Click on the image to see the answer

3. The three headlight problem

Click on the image to see the answer
Click on the image to see the answer

4. The rectangle problem

Click on the image to see the answer
Click on the image to see the answer

5. The candy problem

Click on the image to see the answer
Click on the image to see the answer

Explanations

Note that all the numbers on the right row are powers of 3. So 3 to the 1 is 3, squared is 9, cubed is 27, and 3 to the power of 4 is 81. So 3 to the power of 5 equals 243. If we add all the numbers in the upper left sectors, the total sum will equal 10. Doing the same with the upper right numbers, we get 20. The sum of the numbers in the lower right row is 31. Therefore, we can conclude that the missing number is 9, that is, the final result will be 40. Following the same logic, we can understand that the sum of the numbers in the central part will be equal to 50, which means we need to put 11 in place of the question mark. The total cycles of turning on and off the first, second and third headlights are, respectively, 2, 4 and 6 seconds. Therefore, in order to find out how many seconds it takes for all three headlights to light up at the same time, you need to find the least common multiple of 2, 4 and 6, that is, 12. If the rectangle has a middle row, then the number of rows will be odd. As there are only 20 frames, we have only one option: the figure has 5 lines of 4 frames each. Consequently, Diego painted 4 paintings, leaving 16 of them unpainted. The problem needs to be solved from the end. We know that Bruna was left with 9 sweets after giving half to Caio. This means that, before, she had 18. Since Caio ended up with 17 candies, he therefore had 8. Thus, he receives twice as many candies from his mother, that is, 16 candies. Considering that there were a total of 17 + 9 = 26 sweets, then the mother handed Bruna 26 — 16 = 10 sweets.

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