This document contains 13 multiple choice questions from the Fuvest 2021 exam. The questions cover topics such as functions, graphs, probability, geometry, numbers, and word problems. Correct answer options are provided for each question.
This is the entrance exam paper for ISI MSQE Entrance Exam for the year 2010. Much more information on the ISI MSQE Entrance Exam and ISI MSQE Entrance preparation help available on http://crackdse.com
This is the entrance exam paper for ISI MSQE Entrance Exam for the year 2010. Much more information on the ISI MSQE Entrance Exam and ISI MSQE Entrance preparation help available on http://crackdse.com
This is the entrance exam paper for ISI MSQE Entrance Exam for the year 2004. Much more information on the ISI MSQE Entrance Exam and ISI MSQE Entrance preparation help available on http://crackdse.com
This is the entrance exam paper for ISI MSQE Entrance Exam for the year 2009. Much more information on the ISI MSQE Entrance Exam and ISI MSQE Entrance preparation help available on http://crackdse.com
This is the entrance exam paper for ISI MSQE Entrance Exam for the year 2013. Much more information on the ISI MSQE Entrance Exam and ISI MSQE Entrance preparation help available on http://crackdse.com
Honest Reviews of Tim Han LMA Course Program.pptxtimhan337
Personal development courses are widely available today, with each one promising life-changing outcomes. Tim Han’s Life Mastery Achievers (LMA) Course has drawn a lot of interest. In addition to offering my frank assessment of Success Insider’s LMA Course, this piece examines the course’s effects via a variety of Tim Han LMA course reviews and Success Insider comments.
June 3, 2024 Anti-Semitism Letter Sent to MIT President Kornbluth and MIT Cor...Levi Shapiro
Letter from the Congress of the United States regarding Anti-Semitism sent June 3rd to MIT President Sally Kornbluth, MIT Corp Chair, Mark Gorenberg
Dear Dr. Kornbluth and Mr. Gorenberg,
The US House of Representatives is deeply concerned by ongoing and pervasive acts of antisemitic
harassment and intimidation at the Massachusetts Institute of Technology (MIT). Failing to act decisively to ensure a safe learning environment for all students would be a grave dereliction of your responsibilities as President of MIT and Chair of the MIT Corporation.
This Congress will not stand idly by and allow an environment hostile to Jewish students to persist. The House believes that your institution is in violation of Title VI of the Civil Rights Act, and the inability or
unwillingness to rectify this violation through action requires accountability.
Postsecondary education is a unique opportunity for students to learn and have their ideas and beliefs challenged. However, universities receiving hundreds of millions of federal funds annually have denied
students that opportunity and have been hijacked to become venues for the promotion of terrorism, antisemitic harassment and intimidation, unlawful encampments, and in some cases, assaults and riots.
The House of Representatives will not countenance the use of federal funds to indoctrinate students into hateful, antisemitic, anti-American supporters of terrorism. Investigations into campus antisemitism by the Committee on Education and the Workforce and the Committee on Ways and Means have been expanded into a Congress-wide probe across all relevant jurisdictions to address this national crisis. The undersigned Committees will conduct oversight into the use of federal funds at MIT and its learning environment under authorities granted to each Committee.
• The Committee on Education and the Workforce has been investigating your institution since December 7, 2023. The Committee has broad jurisdiction over postsecondary education, including its compliance with Title VI of the Civil Rights Act, campus safety concerns over disruptions to the learning environment, and the awarding of federal student aid under the Higher Education Act.
• The Committee on Oversight and Accountability is investigating the sources of funding and other support flowing to groups espousing pro-Hamas propaganda and engaged in antisemitic harassment and intimidation of students. The Committee on Oversight and Accountability is the principal oversight committee of the US House of Representatives and has broad authority to investigate “any matter” at “any time” under House Rule X.
• The Committee on Ways and Means has been investigating several universities since November 15, 2023, when the Committee held a hearing entitled From Ivory Towers to Dark Corners: Investigating the Nexus Between Antisemitism, Tax-Exempt Universities, and Terror Financing. The Committee followed the hearing with letters to those institutions on January 10, 202
Read| The latest issue of The Challenger is here! We are thrilled to announce that our school paper has qualified for the NATIONAL SCHOOLS PRESS CONFERENCE (NSPC) 2024. Thank you for your unwavering support and trust. Dive into the stories that made us stand out!
Welcome to TechSoup New Member Orientation and Q&A (May 2024).pdfTechSoup
In this webinar you will learn how your organization can access TechSoup's wide variety of product discount and donation programs. From hardware to software, we'll give you a tour of the tools available to help your nonprofit with productivity, collaboration, financial management, donor tracking, security, and more.
2024.06.01 Introducing a competency framework for languag learning materials ...Sandy Millin
http://sandymillin.wordpress.com/iateflwebinar2024
Published classroom materials form the basis of syllabuses, drive teacher professional development, and have a potentially huge influence on learners, teachers and education systems. All teachers also create their own materials, whether a few sentences on a blackboard, a highly-structured fully-realised online course, or anything in between. Despite this, the knowledge and skills needed to create effective language learning materials are rarely part of teacher training, and are mostly learnt by trial and error.
Knowledge and skills frameworks, generally called competency frameworks, for ELT teachers, trainers and managers have existed for a few years now. However, until I created one for my MA dissertation, there wasn’t one drawing together what we need to know and do to be able to effectively produce language learning materials.
This webinar will introduce you to my framework, highlighting the key competencies I identified from my research. It will also show how anybody involved in language teaching (any language, not just English!), teacher training, managing schools or developing language learning materials can benefit from using the framework.
Acetabularia Information For Class 9 .docxvaibhavrinwa19
Acetabularia acetabulum is a single-celled green alga that in its vegetative state is morphologically differentiated into a basal rhizoid and an axially elongated stalk, which bears whorls of branching hairs. The single diploid nucleus resides in the rhizoid.
Instructions for Submissions thorugh G- Classroom.pptxJheel Barad
This presentation provides a briefing on how to upload submissions and documents in Google Classroom. It was prepared as part of an orientation for new Sainik School in-service teacher trainees. As a training officer, my goal is to ensure that you are comfortable and proficient with this essential tool for managing assignments and fostering student engagement.
Instructions for Submissions thorugh G- Classroom.pptx
Fuvest 2021 - fechada
1. FUVEST 2021 - FECHADA
1
01. (Fuvest 2021) Se 𝑓𝑓: ℝ → ℝ e 𝑔𝑔: ℝ → ℝ são funções dadas por 2
f(x) c x ,
= + onde 𝑐𝑐 ∈ ℝ, e g(x) x,
= seus gráficos se
intersectam quando, e somente quando,
a)
1
c .
4
≤ b)
1
c .
4
≥ c)
1
c .
2
≤ d)
1
c .
2
≥ e) c 1.
≤
02. (Fuvest 2021) Qual dos gráficos representa uma relação entre as grandezas x e y em que y sempre diminui na
medida em que x aumenta?
a)
b)
c)
d)
e)
2. FUVEST 2021 - FECHADA
2
03. (Fuvest 2021) Um aplicativo de videoconferências estabelece, para cada reunião, um código de 10 letras, usando um
alfabeto completo de 26 letras. A quantidade de códigos distintos possíveis está entre
Note e adote
10
9
log 13 1,114
1bilhão 10
≅
=
a) 10 bilhões e 100 bilhões.
b) 100 bilhões e 1 trilhão.
c) 1 trilhão e 10 trilhões.
d) 10 trilhões e 100 trilhões.
e) 100 trilhões e 1 quatrilhão.
04. (Fuvest 2021) Alice quer construir um paralelepípedo reto retângulo de medidas 60 cm 24 cm 18 cm,
× × com a menor
quantidade possível de cubos idênticos cujas medidas das arestas são números naturais. Quantos cubos serão necessários
para construir esse paralelepípedo?
a) 60
b) 72
c) 80
d) 96
e) 120
05. (Fuvest 2021) Suponha, para simplificar, que a Terra é perfeitamente esférica e que a linha do Equador mede
40.000 km. O trajeto que sai do Polo Norte, segue até a linha do Equador pelo meridiano de Greenwich, depois se desloca
ao longo da linha do Equador até o meridiano 45 L
° e então retorna ao Polo Norte por esse meridiano tem comprimento
total de
a) 15.000 km.
b) 20.000 km.
c) 25.000 km.
d) 30.000 km.
e) 35.000 km.
3. FUVEST 2021 - FECHADA
3
06. (Fuvest 2021) A região hachurada do plano cartesiano xOy contida no círculo de centro na origem O e raio 1,
mostrada na figura, pode ser descrita por
Note e adote: O círculo de centro O e raio 1 é o conjunto de todos os pontos do plano que estão a uma distância de O
menor do que ou igual a 1.
a) 2 2
{(x, y); x y 1 e y x 1}.
+ ≤ − ≤
b) 2 2
{(x, y); x y 1 e y x 1}.
+ ≥ + ≥
c) 2 2
{(x, y); x y 1 e y x 1}.
+ ≤ − ≥
d) 2 2
{(x, y); x y 1 e y x 1}.
+ ≤ + ≥
e) 2 2
{(x, y); x y 1 e y x 1}.
+ ≥ + ≤
07. (Fuvest 2021) Uma treinadora de basquete aplica o seguinte sistema de pontuação em seus treinos de arremesso à
cesta: cada jogadora recebe 5 pontos por arremesso acertado e perde 2 pontos por arremesso errado. Ao fim de 50
arremessos, uma das jogadoras contabilizou 124 pontos. Qual é a diferença entre as quantidades de arremessos acertados
e errados dessa jogadora?
a) 12
b) 14
c) 16
d) 18
e) 20
4. FUVEST 2021 - FECHADA
4
08. (Fuvest 2021) Leia a tirinha abaixo.
O quadrinho aborda o tema de números primos, sobre os quais é correto afirmar:
a) Todos os números primos são ímpares.
b) Existem, no máximo, 7 trilhões de números primos.
c) Todo número da forma 2𝑛𝑛
+ 1, 𝑛𝑛 ∈ ℕ, é primo.
d) Entre 24 e 36, existem somente 2 números primos.
e) O número do quadrinho, 143, é um número primo.
5. FUVEST 2021 - FECHADA
5
09. (Fuvest 2021) A figura ilustra graficamente uma região de um bairro, com ruas ortogonais entre si. O ponto X indica
um condomínio residencial, e o ponto Y indica a entrada de um parque.
Três moradores realizam caminhos diferentes para chegar ao ponto Y, partindo do ponto X, ilustrados com cores
diferentes. Se a, b e c representam as distâncias percorridas por esses moradores nesses caminhos, é correto afirmar
que:
a) a b c.
= =
b) b c a.
= <
c) c b a.
< <
d) b c a.
< =
e) c a b.
< =
10. (Fuvest 2021) Um marceneiro possui um pedaço de madeira no formato de um triângulo retângulo, cujos catetos
medem 12 cm e 35 cm. A partir desta peça, ele precisa extrair o maior quadrado possível, de tal forma que um dos
ângulos retos do quadrado coincida com o ângulo reto do triângulo. A medida do lado do quadrado desejado pelo
marceneiro está mais próxima de
a) 8 cm.
b) 8,5 cm.
c) 9 cm.
d) 9,5 cm.
e) 10 cm.
6. FUVEST 2021 - FECHADA
6
11. (Fuvest 2021) Três triângulos equiláteros e dois quadrados formam uma figura plana, como ilustrado. Seus centros
são os vértices de um pentágono irregular, que está destacado na figura.
Se T é a área de cada um dos triângulos e Q a área de cada um dos quadrados, a área desse pentágono é
a) T Q.
+
b)
1 1
T Q.
2 2
+
c)
1
T Q.
2
+
d)
1 1
T Q.
3 4
+
e)
1 1
T Q.
3 2
+
12. (Fuvest 2021) Um comerciante adotou como forma de pagamento uma máquina de cartões, cuja operadora cobra
uma taxa de 6% em cada venda. Para continuar recebendo exatamente o mesmo valor por cada produto, ele resolveu
aplicar um reajuste nos preços de todos os produtos da loja. Se P era o valor de uma mercadoria antes da adoção da
máquina, o novo valor V deve ser calculado por:
a) V P 0,06
= +
b) V 0,94 1,06 P
= ⋅ ⋅
c) V 1,6 P
= ⋅
d)
P
V
0,94
=
e) V 0,94 P
= ⋅
7. FUVEST 2021 - FECHADA
7
13. (Fuvest 2021) Na figura, os segmentos AC e DE são paralelos entre si e perpendiculares ao segmento CD; o ponto B
pertence ao segmento AC; F é o ponto médio do segmento AB; e ABE é um triângulo equilátero.
Além disso, o segmento BC mede 10 unidades de comprimento e o segmento AE mede 6 unidades de comprimento. A
medida do segmento DF, em unidades de comprimento, é igual a
a) 14
b) 15
c) 16
d) 17
e) 18
GABARITO
1 - A 2 - E 3 - E 4 - E 5 - C
6 - C 7 - B 8 - D 9 - B 10 - C
11 - C 12 - D 13 - A