Questões do ENEM 2011

Questões aplicadas na prova de 2011, cada uma em página própria com enunciado, alternativas e gabarito.

Resultados

3.653 questões encontradas. Mostrando a página 73 de 183.

  • 53EFF395-B1

    Matemática

    Geometria Plana
    UNICENTRO · 2011MédioEntre para guardar nos favoritos
    A água utilizada em uma casa de um sítio, próximo à Ponte Molhada em Cascavel, é captada e bombeada do rio para uma caixa d’água a 100 metros de distância. A casa esta a 160 metros da caixa d’água e o ângulo formado pelas direções caixa d’água-bomba e caixa d’água-casa é de 60°, conforme figura. O proprietário do sítio pretende bombear a água, em linha reta, do mesmo ponto de captação atual até a casa.

    Imagem da questão de Matemática, da prova de 2011

    Nessas condições, pode-se afirmar que a quantidade, em metros, de encanamento necessária será igual a
    Escolha uma alternativa para a questão 53eff395-b1
  • 53ECFCCF-B1

    Matemática

    Geometria Plana
    UNICENTRO · 2011FácilEntre para guardar nos favoritos
    Seja um quadrado Q cujo lado tem comprimento l = 2u.c. Considere a sequência infinita de quadrados Q1, Q2, Q3,..., em que cada quadrado é obtido unindo-se os pontos médios dos lados do quadrado anterior.

    A soma das áreas, em u.a., de todos os quadrados é igual a
    Escolha uma alternativa para a questão 53ecfccf-b1
  • 53E39876-B1

    Matemática

    Geometria Espacial
    UNICENTRO · 2011MédioEntre para guardar nos favoritos

    CATEDRAL BASÍLICA MENOR NOSSA SENHORA DA GLÓRIA


    A Catedral foi inspirada no “spoutinikki”, significa peregrino que se afasta do mundo para ficar mais perto de Deus. A pedra fundamental foi colocada em 15 de agosto de 1958, com um pedaço do mármore retirado das escavações da Basílica de São Pedro, no vaticano.

    Foi idealizada por Dom Jaime Luiz Coelho e projetada pelo arquiteto José Augusto Bellucci.

    Foi construída entre julho de 1959 e maio de 1972. De forma cônica, possui um diâmetro externo de 50 metros e uma nave circular, com diâmetro interno de 38 metros. Apresenta 114 metros de altura, mais dez metros de cruz no topo, somando 124 metros. É o 10º monumento mais alto do mundo e o primeiro da América do Sul. (CATEDRAL..., 2011).


    O volume, em metros cúbicos, do cone circular reto, cuja base é o diâmetro interno da nave da Catedral e a altura é a da Catedral sem a cruz, é

    Escolha uma alternativa para a questão 53e39876-b1
  • 53E002C2-B1

    Matemática

    Geometria Plana
    UNICENTRO · 2011MédioEntre para guardar nos favoritos
    Técnicos trabalham para restaurar torres de energia no Paraná Cerca de 200 técnicos trabalham para restaurar as três torres do sistema de Furnas que caíram devido às fortes chuvas, com ventos de até 107 quilômetros por hora, que atingiram a região oeste do Paraná. As torres, localizadas no município de Tupãssi, levam energia de Itaipu para o Sul e o Sudeste do país. (JORNAL..., 2011).

    Imagem da questão de Matemática, da prova de 2011


    Antes do acidente relatado, um morador de Tupassi, estudante de topografia, cujo trabalho de campo era determinar a altura aproximada das torres do sistema de Furnas, colocou um teodolito a 100m do eixo da base, de uma das torres, com a luneta do teodolito a 1,70m do chão e obteve um ângulo de 21°, conforme ilustra a figura.

    Dados: sen 21° = 0,3584; cos 21° = 0,9336; tg 21° = 0,3839, pode-se afirmar que, nessas condições a altura aproximada da torre, em metros, é
    Escolha uma alternativa para a questão 53e002c2-b1
  • 53DBF287-B1

    Matemática

    Matrizes
    UNICENTRO · 2011MédioEntre para guardar nos favoritos

    Laerte, nascido em Guarapuava, mudou-se para Irati, ainda no Paraná, e para manter secreta sua correspondência com Carol, concebeu um código, como descrito a seguir:

    1o Associou números às letras do alfabeto:

    Imagem da questão de Matemática, da prova de 2011


    2o Escolheu a matriz código Imagem da questão de Matemática, da prova de 2011

    3o Associou o número 0 ao espaço entre palavras.

    4o A frase foi transformada em uma matriz que somada à matriz código C resulta na matriz mensagem M, assim A + C = M.

    Dessa forma, a palavra DIA corresponde à matriz Imagem da questão de Matemática, da prova de 2011que, somada à matriz código, resultará na matriz mensagem Imagem da questão de Matemática, da prova de 2011

    Usando o processo criado por Laerte, a mensagem Imagem da questão de Matemática, da prova de 2011decodificada corresponde a

    Escolha uma alternativa para a questão 53dbf287-b1
  • 53D7C4F0-B1

    Matemática

    Probabilidade
    UNICENTRO · 2011DifícilEntre para guardar nos favoritos
    Campeonato Paranaense de Rugby 2011 A sexta edição do Campeonato Paranaense de Rugby , na modalidade Rugby Union, conta com a participação das seguintes equipes: Curitiba Rugby Clube, Londrina Rugby, Lobo Bravo Rugby (de Guarapuava), Hawks Rugby (de Maringá) e Cianorte Rugby. (PARANARUGBY..., 2011).

    Suponha uma partida, no Campeonato Paranaense de Rugby, em que as equipes jogaram com as camisas numeradas de 1 a 15, e não houve substituições, e que, ao seu término, sejam sorteados, aleatoriamente, dois jogadores de cada equipe para exame antidoping. Os jogadores da primeira equipe foram representados por 15 bolas numeradas de 1 a 15, colocadas em uma urna A, e os jogadores da segunda equipe, serão representados da mesma maneira, por bolas colocadas em uma urna B. Sorteia-se primeiro, ao acaso e simultaneamente, uma bola de cada urna. Depois para o segundo sorteio, o processo é repetido com as bolas restantes de cada urna.

    Se, na primeira extração, foram sorteados dois jogadores de números diferentes, a probabilidade de que sejam sorteados dois jogadores de números iguais, na segunda extração, é de
    Escolha uma alternativa para a questão 53d7c4f0-b1
  • 53D1BCBE-B1

    Matemática

    Álgebra Linear
    UNICENTRO · 2011DifícilEntre para guardar nos favoritos
    Durante a realização da Feira de Ciências de um Colégio, em Maringá, os estudantes apresentaram trabalhos em diversas áreas de conhecimento. Um desses trabalhos são indicados a seguir.
    Os alunos da 2a série do Ensino Médio desafiaram os colegas a resolver o seguinte problema: A distância, em metros, da Catedral Basílica Menor Nossa Senhora da Glória ao Colégio é igual ao valor da soma dos coeficientes do desenvolvimento de (x3 + 7x5/4)12.

    Essa distância, em quilômetros, é de, aproximadamente,
    Escolha uma alternativa para a questão 53d1bcbe-b1
  • 53CE7DE3-B1

    Matemática

    Potência
    UNICENTRO · 2011MédioEntre para guardar nos favoritos
    Durante a realização da Feira de Ciências de um Colégio, em Maringá, os estudantes apresentaram trabalhos em diversas áreas de conhecimento. Um desses trabalhos são indicados a seguir.
    Os alunos da 1a série do Ensino Médio estudaram uma colônia de bactérias. A amostra inicial dessa colônia era de 3125 bactérias e a população da colônia dobrava a cada 12 minutos.

    Ao final de uma hora, o número de bactérias, desse experimento, era igual a

    Escolha uma alternativa para a questão 53ce7de3-b1
  • 38F66500-B0

    Inglês

    Interpretação de texto | Reading comprehension
    UFPR · 2011MédioEntre para guardar nos favoritos

    School Curriculum Falls Short on Bigger Lessons

    By Tara PARKER-POPE


          Now that children are back in the classroom, are they really learning the lessons that will help them succeed?

          Many child development experts worry that the answer may be no. They say the ever-growing emphasis on academic performance and test scores means many children aren’t developing life skills like self-control, motivation, focus and resilience, which are far better predictors of long-term success than high grades. And it may be distorting their and their parents’ values.

          In one set of studies, children who solved math puzzles were praised for their intelligence or for their hard work. The first group actually did worse on subsequent tests, or took an easy way out, shunning difficult problems. The research suggests that praise for a good effort encourages harder work, while children who are consistently told they are smart do not know what to do when confronted with a difficult problem or reading assignment.

          Academic achievement can certainly help children succeed, and for parents there can be a fine line between praising effort and praising performance. Words need to be chosen carefully: Instead of saying, “I’m so proud you got an ‘A’ on your test”, a better choice is “I’m so proud of you for studying so hard”. Both replies rightly celebrate the ‘A’, but the second focuses on the effort that produced it, encouraging the child to keep trying in the future.

          Praise outside of academics matters, too. Instead of asking your child how many points she scored on the basketball court, say, “Tell me about the game. Did you have fun? Did you play hard?”. Parents also need to teach their children that they do not have to be good at everything, and there is something to be learned when a child struggles or gets a poor grade despite studying hard. One strategy is to teach children that the differences between easy and difficult subjects can provide useful information about their goals and interests. Subjects they enjoy and excel in may become the focus of their careers. Challenging but interesting classes or sports can become hobbies.

    (Adapted from www.nyt.com) 

    Consider the following statements:


    1. Parents should tell their children they do not have to be good at everything.

    2. Parents should try to praise their children in their everyday life.

    3. Being successful at school is more important than outside of academic matters.

    4. Students with a higher performance at school are encouraged to win games.

    5. Parents should help their kids see the difference between easy and difficult subjects.

    6. Easy subjects may become the focus of someone’s career.


    Which of the statements above are TRUE, according to the text?

    Escolha uma alternativa para a questão 38f66500-b0
  • 38F27598-B0

    Inglês

    Interpretação de texto | Reading comprehension
    UFPR · 2011MédioEntre para guardar nos favoritos

    School Curriculum Falls Short on Bigger Lessons

    By Tara PARKER-POPE


          Now that children are back in the classroom, are they really learning the lessons that will help them succeed?

          Many child development experts worry that the answer may be no. They say the ever-growing emphasis on academic performance and test scores means many children aren’t developing life skills like self-control, motivation, focus and resilience, which are far better predictors of long-term success than high grades. And it may be distorting their and their parents’ values.

          In one set of studies, children who solved math puzzles were praised for their intelligence or for their hard work. The first group actually did worse on subsequent tests, or took an easy way out, shunning difficult problems. The research suggests that praise for a good effort encourages harder work, while children who are consistently told they are smart do not know what to do when confronted with a difficult problem or reading assignment.

          Academic achievement can certainly help children succeed, and for parents there can be a fine line between praising effort and praising performance. Words need to be chosen carefully: Instead of saying, “I’m so proud you got an ‘A’ on your test”, a better choice is “I’m so proud of you for studying so hard”. Both replies rightly celebrate the ‘A’, but the second focuses on the effort that produced it, encouraging the child to keep trying in the future.

          Praise outside of academics matters, too. Instead of asking your child how many points she scored on the basketball court, say, “Tell me about the game. Did you have fun? Did you play hard?”. Parents also need to teach their children that they do not have to be good at everything, and there is something to be learned when a child struggles or gets a poor grade despite studying hard. One strategy is to teach children that the differences between easy and difficult subjects can provide useful information about their goals and interests. Subjects they enjoy and excel in may become the focus of their careers. Challenging but interesting classes or sports can become hobbies.

    (Adapted from www.nyt.com) 

    According to the text, how should parents react to their children’s performance?
    Escolha uma alternativa para a questão 38f27598-b0
  • 38EDC6F1-B0

    Inglês

    Interpretação de texto | Reading comprehension
    UFPR · 2011MédioEntre para guardar nos favoritos

    School Curriculum Falls Short on Bigger Lessons

    By Tara PARKER-POPE


          Now that children are back in the classroom, are they really learning the lessons that will help them succeed?

          Many child development experts worry that the answer may be no. They say the ever-growing emphasis on academic performance and test scores means many children aren’t developing life skills like self-control, motivation, focus and resilience, which are far better predictors of long-term success than high grades. And it may be distorting their and their parents’ values.

          In one set of studies, children who solved math puzzles were praised for their intelligence or for their hard work. The first group actually did worse on subsequent tests, or took an easy way out, shunning difficult problems. The research suggests that praise for a good effort encourages harder work, while children who are consistently told they are smart do not know what to do when confronted with a difficult problem or reading assignment.

          Academic achievement can certainly help children succeed, and for parents there can be a fine line between praising effort and praising performance. Words need to be chosen carefully: Instead of saying, “I’m so proud you got an ‘A’ on your test”, a better choice is “I’m so proud of you for studying so hard”. Both replies rightly celebrate the ‘A’, but the second focuses on the effort that produced it, encouraging the child to keep trying in the future.

          Praise outside of academics matters, too. Instead of asking your child how many points she scored on the basketball court, say, “Tell me about the game. Did you have fun? Did you play hard?”. Parents also need to teach their children that they do not have to be good at everything, and there is something to be learned when a child struggles or gets a poor grade despite studying hard. One strategy is to teach children that the differences between easy and difficult subjects can provide useful information about their goals and interests. Subjects they enjoy and excel in may become the focus of their careers. Challenging but interesting classes or sports can become hobbies.

    (Adapted from www.nyt.com) 

    What did the study mentioned in the text show?
    Escolha uma alternativa para a questão 38edc6f1-b0
  • 38E8CC0F-B0

    Inglês

    Interpretação de texto | Reading comprehension
    UFPR · 2011MédioEntre para guardar nos favoritos

    School Curriculum Falls Short on Bigger Lessons

    By Tara PARKER-POPE


          Now that children are back in the classroom, are they really learning the lessons that will help them succeed?

          Many child development experts worry that the answer may be no. They say the ever-growing emphasis on academic performance and test scores means many children aren’t developing life skills like self-control, motivation, focus and resilience, which are far better predictors of long-term success than high grades. And it may be distorting their and their parents’ values.

          In one set of studies, children who solved math puzzles were praised for their intelligence or for their hard work. The first group actually did worse on subsequent tests, or took an easy way out, shunning difficult problems. The research suggests that praise for a good effort encourages harder work, while children who are consistently told they are smart do not know what to do when confronted with a difficult problem or reading assignment.

          Academic achievement can certainly help children succeed, and for parents there can be a fine line between praising effort and praising performance. Words need to be chosen carefully: Instead of saying, “I’m so proud you got an ‘A’ on your test”, a better choice is “I’m so proud of you for studying so hard”. Both replies rightly celebrate the ‘A’, but the second focuses on the effort that produced it, encouraging the child to keep trying in the future.

          Praise outside of academics matters, too. Instead of asking your child how many points she scored on the basketball court, say, “Tell me about the game. Did you have fun? Did you play hard?”. Parents also need to teach their children that they do not have to be good at everything, and there is something to be learned when a child struggles or gets a poor grade despite studying hard. One strategy is to teach children that the differences between easy and difficult subjects can provide useful information about their goals and interests. Subjects they enjoy and excel in may become the focus of their careers. Challenging but interesting classes or sports can become hobbies.

    (Adapted from www.nyt.com) 

    Are these statements TRUE (T) or FALSE (F), according to the text?


    ( ) Schools tend to emphasize academic performance and test scores.

    ( ) Students should develop life skills, such as self-control, ambition, and competitiveness.

    ( ) Getting high grades does not necessarily mean that the student will be successful in life.

    ( ) The emphasis on academic performance is not supported by parents at all.

    ( ) Long-term success is usually achieved by students who get high grades.


    Mark the alternative which presents the correct sequence, from top to bottom.

    Escolha uma alternativa para a questão 38e8cc0f-b0
  • 38E48A0F-B0

    Inglês

    Interpretação de texto | Reading comprehension
    UFPR · 2011MédioEntre para guardar nos favoritos

           Jorge Mario Pedro Vargas Llosa, was born on March 28, 1936, in the Peruvian provincial city of Arequipa. He is a writer, politician, journalist, essayist, and Nobel Prize laureate. Vargas Llosa is one of Latin America's most significant novelists and essayists, and one of the leading authors of his generation. Some critics consider him to have had a larger international impact and worldwide audience than any other writer of the Latin American Boom. He was awarded the 2010 Nobel Prize in Literature "for his cartography of structures of power and his trenchant images of the individual's resistance, revolt, and defeat".

    Vargas Llosa rose to fame in the 1960s with novels such as The Time of the Hero (La ciudad y los perros, literally The City and the Dogs, 1963/1966), The Green House (La casa verde, 1965/1968), and the monumental Conversation in the Cathedral (Conversación en la catedral, 1969/1975). He writes prolifically across an array of literary genres, including literary criticism and journalism. His novels include comedies, murder mysteries, historical novels, and political thrillers. Several, such as Captain Pantoja and the Special Service (1973/1978) and Aunt Julia and the Scriptwriter (1977/1982), have been adapted as feature films.

          Many of Vargas Llosa's works are influenced by the writer's perception of Peruvian society and his own experiences as a native Peruvian. Increasingly, however, he has expanded his range, and tackled themes that arise from other parts of the world. Another change over the course of his career has been a shift from a style and approach associated with literary modernism, to a sometimes playful postmodernism.

          Like many Latin American authors, Vargas Llosa has been politically active throughout his career; over the course of his life, he has gradually moved from the political left towards liberalism or neoliberalism, a definitively more conservative political position. While he initially supported the Cuban revolutionary government of Fidel Castro, Vargas Llosa later became disenchanted with the Cuban dictator and his authoritarian regime. He ran for the Peruvian presidency in 1990 with the center-right Frente Democrático (FREDEMO) coalition, advocating neoliberal reforms.

    (Adapted from www.wikipedia.org) 

    According to the text, Vargas Llosa:
    Escolha uma alternativa para a questão 38e48a0f-b0
  • 38E11AA7-B0

    Inglês

    Interpretação de texto | Reading comprehension
    UFPR · 2011MédioEntre para guardar nos favoritos

           Jorge Mario Pedro Vargas Llosa, was born on March 28, 1936, in the Peruvian provincial city of Arequipa. He is a writer, politician, journalist, essayist, and Nobel Prize laureate. Vargas Llosa is one of Latin America's most significant novelists and essayists, and one of the leading authors of his generation. Some critics consider him to have had a larger international impact and worldwide audience than any other writer of the Latin American Boom. He was awarded the 2010 Nobel Prize in Literature "for his cartography of structures of power and his trenchant images of the individual's resistance, revolt, and defeat".

    Vargas Llosa rose to fame in the 1960s with novels such as The Time of the Hero (La ciudad y los perros, literally The City and the Dogs, 1963/1966), The Green House (La casa verde, 1965/1968), and the monumental Conversation in the Cathedral (Conversación en la catedral, 1969/1975). He writes prolifically across an array of literary genres, including literary criticism and journalism. His novels include comedies, murder mysteries, historical novels, and political thrillers. Several, such as Captain Pantoja and the Special Service (1973/1978) and Aunt Julia and the Scriptwriter (1977/1982), have been adapted as feature films.

          Many of Vargas Llosa's works are influenced by the writer's perception of Peruvian society and his own experiences as a native Peruvian. Increasingly, however, he has expanded his range, and tackled themes that arise from other parts of the world. Another change over the course of his career has been a shift from a style and approach associated with literary modernism, to a sometimes playful postmodernism.

          Like many Latin American authors, Vargas Llosa has been politically active throughout his career; over the course of his life, he has gradually moved from the political left towards liberalism or neoliberalism, a definitively more conservative political position. While he initially supported the Cuban revolutionary government of Fidel Castro, Vargas Llosa later became disenchanted with the Cuban dictator and his authoritarian regime. He ran for the Peruvian presidency in 1990 with the center-right Frente Democrático (FREDEMO) coalition, advocating neoliberal reforms.

    (Adapted from www.wikipedia.org) 

    According to the text, Vargas Llosa’s writings:
    Escolha uma alternativa para a questão 38e11aa7-b0
  • 38DB892E-B0

    Inglês

    Interpretação de texto | Reading comprehension
    UFPR · 2011MédioEntre para guardar nos favoritos

           Jorge Mario Pedro Vargas Llosa, was born on March 28, 1936, in the Peruvian provincial city of Arequipa. He is a writer, politician, journalist, essayist, and Nobel Prize laureate. Vargas Llosa is one of Latin America's most significant novelists and essayists, and one of the leading authors of his generation. Some critics consider him to have had a larger international impact and worldwide audience than any other writer of the Latin American Boom. He was awarded the 2010 Nobel Prize in Literature "for his cartography of structures of power and his trenchant images of the individual's resistance, revolt, and defeat".

    Vargas Llosa rose to fame in the 1960s with novels such as The Time of the Hero (La ciudad y los perros, literally The City and the Dogs, 1963/1966), The Green House (La casa verde, 1965/1968), and the monumental Conversation in the Cathedral (Conversación en la catedral, 1969/1975). He writes prolifically across an array of literary genres, including literary criticism and journalism. His novels include comedies, murder mysteries, historical novels, and political thrillers. Several, such as Captain Pantoja and the Special Service (1973/1978) and Aunt Julia and the Scriptwriter (1977/1982), have been adapted as feature films.

          Many of Vargas Llosa's works are influenced by the writer's perception of Peruvian society and his own experiences as a native Peruvian. Increasingly, however, he has expanded his range, and tackled themes that arise from other parts of the world. Another change over the course of his career has been a shift from a style and approach associated with literary modernism, to a sometimes playful postmodernism.

          Like many Latin American authors, Vargas Llosa has been politically active throughout his career; over the course of his life, he has gradually moved from the political left towards liberalism or neoliberalism, a definitively more conservative political position. While he initially supported the Cuban revolutionary government of Fidel Castro, Vargas Llosa later became disenchanted with the Cuban dictator and his authoritarian regime. He ran for the Peruvian presidency in 1990 with the center-right Frente Democrático (FREDEMO) coalition, advocating neoliberal reforms.

    (Adapted from www.wikipedia.org) 

    Which of these statements DOES NOT CORRESPOND to information given in the text about Vargas Llosa?
    Escolha uma alternativa para a questão 38db892e-b0
  • 38D2D0CF-B0

    Física

    Instrumentos Ópticos
    UFPR · 2011MédioEntre para guardar nos favoritos
    Um datiloscopista munido de uma lupa analisa uma impressão digital. Sua lupa é constituída por uma lente convergente com distância focal de 10 cm. Ao utilizá-la, ele vê a imagem virtual da impressão digital aumentada de 10 vezes em relação ao tamanho real. Com base nesses dados, assinale a alternativa correta para a distância que separa a lupa da impressão digital.
    Escolha uma alternativa para a questão 38d2d0cf-b0
  • 38CEF956-B0

    Física

    Calorimetria
    UFPR · 2011DifícilEntre para guardar nos favoritos

    Um engenheiro eletricista, ao projetar a instalação elétrica de uma edificação, deve levar em conta vários fatores, de modo a garantir principalmente a segurança dos futuros usuários. Considerando um trecho da fiação, com determinado comprimento, que irá alimentar um conjunto de lâmpadas, avalie as seguintes afirmativas:


    1. Quanto mais fino for o fio condutor, menor será a sua resistência elétrica.

    2. Quanto mais fino for o fio condutor, maior será a perda de energia em forma de calor.

    3. Quanto mais fino for o fio condutor, maior será a sua resistividade.


    Assinale a alternativa correta.

    Escolha uma alternativa para a questão 38cef956-b0
  • 38CB3097-B0

    Física

    Cargas Elétricas e Eletrização
    UFPR · 2011MédioEntre para guardar nos favoritos

    Um próton movimenta-se em linha reta paralelamente às linhas de força de um campo elétrico uniforme, conforme mostrado na figura. Partindo do repouso no ponto 1 e somente sob ação da força elétrica, ele percorre uma distância de 0,6 m e passa pelo ponto 2. Entre os pontos 1 e 2 há uma diferença de potencial ∆V igual a 32 V.

    Considerando a massa do próton igual a 1,6 x 10-27 kg e sua carga igual a 1,6 x 10-19 C, assinale a alternativa que apresenta corretamente a velocidade do próton ao passar pelo ponto 2.


    Imagem da questão de Física, da prova de 2011

    Escolha uma alternativa para a questão 38cb3097-b0