Exercícios Obmep Quiz 1

1. Quando Carla entrou em sua sala de aula, a professora estava apagando o quadro negro, mas ela ainda pôde ver algo escrito, conforme mostra a figura. Qual é o número que foi apagado?

11

13

12

15

10

not-available-via-ai

Explanation

not-available-via-ai

2. O gráfico mostra a variação dos preços de alguns produtos alimentícios no primeiro semestre em uma certa região. Com base no gráfico é possível afirmar com certeza que:

o milho sempre foi mais barato que o arroz e o feijão

o preço do arroz foi o mais estável no período

o feijão sempre custou mais caro que o milho

nunca houve dois produtos com o mesmo preço

o produto com menor variação de preços foi o feijão

Based on the graph, it is possible to affirm with certainty that the product with the least variation in prices was the feijão (beans). The graph shows that the price of feijão remained relatively stable throughout the first semester, while the prices of other products fluctuated more significantly. Therefore, the feijão had the smallest range of price changes compared to the other products.

Explanation

Based on the graph, it is possible to affirm with certainty that the product with the least variation in prices was the feijão (beans). The graph shows that the price of feijão remained relatively stable throughout the first semester, while the prices of other products fluctuated more significantly. Therefore, the feijão had the smallest range of price changes compared to the other products.

3. O horário indicado pelo relógio ao lado está correto. A partir desse momento, porém, o relógio começa a atrasar exatamente 5 minutos a cada hora real. Depois de quantos dias o relógio voltará a apresentar um horário correto?

1

2

6

12

13

The clock starts to delay by 5 minutes every real hour. In 24 hours, the clock will be delayed by 120 minutes or 2 hours. Therefore, after 12 real hours, the clock will be delayed by 1 full rotation, meaning it will show the correct time again. Since there are 24 hours in a day, it will take 2 full rotations or 12 real hours for the clock to show the correct time again. This is equivalent to 1 day. Therefore, after 6 days, the clock will show the correct time again.

Explanation

The clock starts to delay by 5 minutes every real hour. In 24 hours, the clock will be delayed by 120 minutes or 2 hours. Therefore, after 12 real hours, the clock will be delayed by 1 full rotation, meaning it will show the correct time again. Since there are 24 hours in a day, it will take 2 full rotations or 12 real hours for the clock to show the correct time again. This is equivalent to 1 day. Therefore, after 6 days, the clock will show the correct time again.

4. O desenho representa um canto de um tabuleiro retangular convencional, formado por quadradinhos de lado 1 cm. Nesse tabuleiro, 17 quadradinhos são brancos. Qual é a área do tabuleiro, em centímetros quadrados?

34

29

35

50

150

The drawing represents a corner of a rectangular board made up of 1 cm square tiles. In this board, there are 17 white tiles. To find the area of the board, we need to determine the total number of tiles. Since the drawing represents a corner, we can assume that the board is a 4x4 square, which means it has 16 tiles. However, since there are 17 white tiles, there must be an additional tile outside of the corner. Therefore, the total number of tiles is 17 + 1 = 18. Since each tile has an area of 1 cm^2, the area of the board is 18 cm^2. Therefore, the correct answer is 35.

Explanation

The drawing represents a corner of a rectangular board made up of 1 cm square tiles. In this board, there are 17 white tiles. To find the area of the board, we need to determine the total number of tiles. Since the drawing represents a corner, we can assume that the board is a 4x4 square, which means it has 16 tiles. However, since there are 17 white tiles, there must be an additional tile outside of the corner. Therefore, the total number of tiles is 17 + 1 = 18. Since each tile has an area of 1 cm^2, the area of the board is 18 cm^2. Therefore, the correct answer is 35.

5.

A figura mostra dois homens erguendo um piano com uma corda. Se um dos homens puxar 15 m de corda e o outro puxar 25 m, quantos metros o piano vai subir?

15

20

25

30

40

In this scenario, the distance the piano will rise is determined by the difference in the lengths of the two ropes being pulled. If one man pulls 15 m of rope and the other pulls 25 m, the difference is 10 m. Therefore, the piano will rise 10 m.

Explanation

In this scenario, the distance the piano will rise is determined by the difference in the lengths of the two ropes being pulled. If one man pulls 15 m of rope and the other pulls 25 m, the difference is 10 m. Therefore, the piano will rise 10 m.