Questões SEEDUC-RJ

Um cone circular reto tem geratriz e raio da base medindo respectivamente 20dm e 20/π dm. A planificação da superfície lateral desse cone é um setor circular com ângulo central medindo θ radianos. O valor de θ é igual a

Resolvendo corretamente a equação trigonométrica 2sen(2x)= sen(x), x∈[0,2π], determina-se o conjunto solução com exatamente telementos. O valor de té igual a:

Considere uma matriz A ₃X₃ , formada por elementos aijque representam os logaritmos decimais de (i+j), isto é, a ij = log(i+j). Se log2 = 0,301 e log3 = 0,477, a soma dos elementos da diagonal principal da matriz A equivale a:

A figura abaixo representa, no sistema de eixos cartesianos xoy, uma elipse de equação 16x² + 25y² = 400 e um triângulo AFG, retângulo em F. [imagem] Se AB é a medida do eixo maior dessa elipse e o ponto F um de seus focos, a área do triâng…

Numa determinada turma do ensino médio, 8 alunos fi zeram um trabalho cuja nota variava de zero a 3 pontos. A tabela abaixo representa os pontos, nesse trabalho, que cada um dos alunos obteve. Aluno Pontos obtidos no trabalho A 3 B 2 C 2 D…

Admita que as retas r e s sejam as retas suportes das duas diagonais de um quadrado. Se as equações de r e s são respectivamente y = –2x + 3e y = mx – 1, o valor do número real m é igual a:

Seja α uma circunferência cuja equação é (x – 1)² + (y + 5)²= 2. A equação da circunferência que é simétrica a α em relação ao eixo das ordenadas é:

Os vértices de um triângulo são dados pelos pontos A(–2, 3), B(1, 1) e C(5, –2). A distância do vértice A até a reta BC é igual a:

Sejam x, y e z números naturais tais que [imagem] . O valor da diferença (x – z) é igual a:

In the sentence “It would be nice if teachers who work in the most challenging schools could be paid more." (l. 43), the personal pronoun 'it' functions as an:

Consider the following sentence from a student’s essay. “The theme of this short story make us see the beauty in another vision.” (source: a real student’s essay) The sentence should be rewritten as the following alternative:

One mechanism of grammatical cohesion is the use of substituting pro-forms. The only example of a pro-form is:

This editorial is a critical response to the article “Poor schools, rookie teachers” (l. 3). The critique is built against the logical relation established between the two noun phrases of this title. This logical relation is one of:

“Scaffolding” (Nuttall, 1996, p.36) is a process that “focus on enabling students to develop”. In “Teaching Reading Skills in a Foreign Language”, Nuttall suggests some steps to promote this process. The alternative that presents one of the…

Assuming that current language teaching tends to be eclectic in terms of approaches and that this might result in inconsistent and unfounded practice, Harmer (2007) recommends three essential elements for any teaching sequence: engage, stud…

Consider the following noun phrase: ‘the only navigable river’. Suppose a student asks you if there is a difference in meaning if ‘navigable’ is placed after ‘river’. The alternative with the correct answer and comment is:

Suppose you are correcting some literary essays. In one essay, you find the following extract. “It begins with the Giant coming back to his garden after a seven-year trip. When arriving they see that children play in his garden." (source: a…

Suppose a student asks you if 'whose' in the following academic passage is wrong. “There is a way of proceeding in conceptual matters whose method is to define away any inconvenient difficulty." (Biber et al, 1999, p. 617) The alternative w…

According to the Longman Grammar (Biber et al., 1999, p. 988), “collocations are associations between lexical words, so that the words co-occur more frequently than expected by chance”. This text presents several examples of collocations. T…

This text shows several examples of multiple parallel clausal structures. One example particularly shows the repetition of subordinate clauses to describe the preceding noun phrase, producing a certain dramatic effect. The example is: