100+ Free FGV Vestibular Practice Questions

Pass your FGV Vestibular (Fundacao Getulio Vargas Undergraduate Admissions Exam) exam on the first try — instant access, no signup required.

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The 'Plano Safra' and similar programs in Brazil are forms of public policy primarily supporting which sector?

mining

tourism

agriculture

telecommunications

to track

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Key Facts: FGV Vestibular Exam

FGV Vestibular is a two-phase admissions exam: 60 objective MCQs (Matematica, Lingua Portuguesa, Ingles, Ciencias Humanas) plus a discursive phase with a redacao and 8 questions, each period about 3h30, costing R$ 275.

Sample FGV Vestibular Practice Questions

Try these sample questions to test your FGV Vestibular exam readiness. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1A company sells a product for R$ 80 after applying a 20% discount on its original list price. What was the original list price?

A.R$ 100

B.R$ 96

C.R$ 64

D.R$ 120

Explanation: If 20% is discounted, the sale price represents 80% of the original. So original = 80 / 0.80 = R$ 100. FGV frequently tests percentage relationships in business contexts.

2An investment of R$ 1,000 earns compound interest at 10% per year. What is its value after 2 years?

A.R$ 1,210

B.R$ 1,200

C.R$ 1,100

D.R$ 1,221

Explanation: Compound interest: 1000 * (1.10)^2 = 1000 * 1.21 = R$ 1,210. Compounding applies the rate to the accumulated balance each period, a core topic in FGV's economics-oriented math.

3What is the solution set of the equation x^2 - 5x + 6 = 0?

A.{2, 3}

B.{1, 6}

C.{-2, -3}

D.{-1, -6}

Explanation: Factoring: (x - 2)(x - 3) = 0, so x = 2 or x = 3. The sum of roots is 5 and the product is 6, matching the coefficients by Vieta's formulas.

4If f(x) = 2x + 3, what is the value of f(f(1))?

A.13

B.11

C.7

D.8

Explanation: First f(1) = 2(1) + 3 = 5. Then f(5) = 2(5) + 3 = 13. Function composition evaluates the inner function before the outer one.

5A bag contains 4 red and 6 blue balls. If one ball is drawn at random, what is the probability it is red?

A.2/5

B.3/5

C.1/4

D.4/6

Explanation: There are 4 red balls out of 10 total, so P(red) = 4/10 = 2/5. Probability of a single event equals favorable outcomes divided by total outcomes.

6The first term of an arithmetic progression is 3 and the common difference is 4. What is the 10th term?

A.39

B.43

C.40

D.37

Explanation: The nth term is a_n = a_1 + (n-1)d = 3 + 9*4 = 3 + 36 = 39. Arithmetic progressions add a constant difference between consecutive terms.

7What is the value of log base 2 of 32?

A.5

B.4

C.6

D.16

Explanation: log2(32) asks for the power to which 2 must be raised to get 32. Since 2^5 = 32, the answer is 5. Logarithms invert exponentiation.

8A right triangle has legs of length 6 and 8. What is the length of the hypotenuse?

A.10

B.14

C.12

D.48

Explanation: By the Pythagorean theorem, hypotenuse = sqrt(6^2 + 8^2) = sqrt(36 + 64) = sqrt(100) = 10. The 6-8-10 triangle is a scaled 3-4-5 triple.

9A store marks up cost by 50% to set its price, then offers a 20% discount on that price. The final price represents what percentage of the original cost?

A.120%

B.130%

C.110%

D.150%

Explanation: Price after markup = 1.50 * cost. After 20% discount = 0.80 * 1.50 = 1.20, i.e. 120% of cost. Successive percentage changes multiply rather than add.

10How many distinct ways can 5 different books be arranged on a shelf?

A.120

B.25

C.60

D.5

Explanation: The number of arrangements of 5 distinct objects is 5! = 5*4*3*2*1 = 120. Permutations count ordered arrangements of all items.

About the FGV Vestibular Exam

The FGV Vestibular is the selective admissions exam for undergraduate programs at Fundacao Getulio Vargas, one of Brazil's most prestigious institutions, with schools in Sao Paulo, Rio de Janeiro, and Brasilia. It selects students for courses including Administracao de Empresas, Administracao Publica, Economia, Direito, Relacoes Internacionais, Ciencias Sociais, Ciencia de Dados, and Matematica Aplicada. The process has two phases: a first phase of 60 objective multiple-choice questions (15 each in Matematica, Lingua Portuguesa, Ingles, and Ciencias Humanas covering Atualidades, Historia and Geografia), and a discursive second phase with a redacao and eight discursive questions in Matematica or Ciencias Humanas depending on the course. FGV is renowned for long, interpretive questions and demanding analytical mathematics, reflecting its business, economics, and law orientation. Admission is by ranked classification, with seats limited to each program's vagas.

Questions

100 scored questions

Time Limit

Two periods of about 3 hours 30 minutes each (objective and discursive)

Passing Score

No fixed pass mark; candidates are ranked by total score and seats (vagas) are filled by classification per course.

Exam Fee

R$ 275 standard (R$ 250 for some modalities); R$ 135 via ENEM; fee waivers for eligible candidates (Fundacao Getulio Vargas (FGV))

FGV Vestibular Exam Content Outline

28%

Matematica

Analytical and financial math: percentages, interest, functions, probability, combinatorics, geometry, sequences and economics applications.

20%

Lingua Portuguesa

Grammar, syntax, text interpretation, cohesion, figures of speech, and Brazilian literature and literary movements.

18%

Ingles

Grammar, verb tenses, reading comprehension, business and economics vocabulary, and idiomatic usage.

14%

Historia

Brazilian and world history: colonial cycles, empire, republic, Vargas era, dictatorship, and major global events.

12%

Geografia

Brazilian physical and economic geography, biomes, regions, energy, urbanization, and trade blocs.

Atualidades

Current affairs, economics indicators, public policy, geopolitics, climate, and technology.

How to Pass the FGV Vestibular Exam

What You Need to Know

Passing score: No fixed pass mark; candidates are ranked by total score and seats (vagas) are filled by classification per course.
Exam length: 100 questions
Time limit: Two periods of about 3 hours 30 minutes each (objective and discursive)
Exam fee: R$ 275 standard (R$ 250 for some modalities); R$ 135 via ENEM; fee waivers for eligible candidates

Keys to Passing

Complete 500+ practice questions
Score 80%+ consistently before scheduling
Focus on highest-weighted sections
Use our AI tutor for tough concepts

FGV Vestibular Study Tips from Top Performers

1Prioritize analytical and financial mathematics; FGV math is rigorous and weighted heavily for Administracao and Economia.

2Practice with FGV past papers (provas e gabaritos) to get used to long, interpretive question stems and similar distractors.

3Strengthen reading comprehension and cohesion in both Portuguese and English, as FGV emphasizes interpretation.

4Keep up with current affairs (atualidades) in economics, politics, climate, and technology for both objective and redacao questions.

5Review Brazilian history and geography systematically, linking economic cycles and regions to broader social and political change.

Frequently Asked Questions

What subjects does the FGV Vestibular cover?

The first-phase objective exam covers Matematica, Lingua Portuguesa, Ingles, and Ciencias Humanas (Atualidades, Historia and Geografia), with 15 questions in each. The discursive second phase adds a redacao and eight questions in Matematica or Ciencias Humanas depending on the chosen course.

How many questions are on the FGV Vestibular?

The first phase has 60 objective multiple-choice questions. The discursive second phase has a redacao essay plus eight discursive questions. This OpenExamPrep practice bank provides 100 free questions modeled on the objective subjects.

How much does it cost to take the FGV Vestibular?

Standard registration is around R$ 275 (R$ 250 for some modalities), or R$ 135 when applying via ENEM. Fee waivers are available for eligible public-school candidates with proven socioeconomic need.

Is the FGV Vestibular hard?

Yes. FGV is widely regarded as one of Brazil's most demanding admissions exams, known for long, interpretive questions and rigorous analytical mathematics, especially for Administracao and Economia.

Which programs use the FGV Vestibular?

It selects students for FGV's undergraduate programs such as Administracao de Empresas, Administracao Publica, Economia, Direito, Relacoes Internacionais, Ciencias Sociais, Ciencia de Dados e Inteligencia Artificial, and Matematica Aplicada in Sao Paulo, Rio de Janeiro and Brasilia.