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Examen de admitere · Matematică și Limba engleză · 2016

Programe de studii universitare de licență · Academia Forțelor Aeriene „Henri Coandă”

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Subiect și barem · 9 pagini

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LUCRARE SCRISĂ LA LIMBA STRĂINĂ – ENGLEZĂ
A. Partea I: CITIT
(Citirea cu atenţie)
Choose the correct answer a, b, c, or d.
The Christ the King statue (Portuguese: Cristo Rei) is a Catholic monument and holy place
dedicated to the Sacred Heart of Jesus Christ overlooking the city of Lisbon in the central part of
Portugal. It was inspired by the Christ the Redeemer statue in Rio de Janeiro (Brazil), after the
Cardinal Patriarch of Lisbon visited that monument. The project was inaugurated on 17 May 1959, at a
time when Portugal was being ruled by the authoritarian President of the Council of Ministers António
de Oliveira Salazar (permission to build the monument was ultimately given by Salazar). The giant
statue in cement was erected to express gratitude because the Portuguese were spared the effects of
World War II.
1. The article informs us that …
a Christ the King was Catholic.
b the statue of Cristo Rei looks above the city of Lisbon.
c Cristo Rei represents both a statue and a religious place of worship.
d Christ the King was situated in the central part of Lisbon.
2. We learn from the article that …
a the statue was created after the one in Rio de Janeiro.
b the permission to build the statue was granted by Cardinal Patriarch of Lisbon.
c the monument was built during World War II.
d António de Oliveira Salazar visited the monument.
3. The statue was put up…
a to raise the effects of World War II.
b to show appreciation.
c to spare the Portuguese.
d to have a giant cement monument.
The word papyrus refers to a thin paper-like material made from the pith of the papyrus plant,
Cyperus papyrus. It can also refer to a document written on sheets of papyrus joined together side by
side and rolled up into a scroll, an early form of a book. The plural for such documents is papyri.
Papyrus is first known to have been used in ancient Egypt (at least as far back as the First
Dynasty), as the Cyperus papyrus plant was a wetland plant that was once abundant in Southern Sudan
along with the Nile Delta of Egypt. Papyrus was also used throughout the Mediterranean region and in
Kingdom of Kush. Ancient Egyptians are thought to have used papyrus as a writing material, as well
as employing it commonly in the construction of other artifacts such as reed boats, mats, rope, sandals,
and baskets.
4. We learn from this passage that …
a papyrus describes a paper-like side.
b papyrus is a fabric created from a plant.
c Cyperus papyrus is the name given to a thin material.
d the term papyrus comes from the Mediterranean region and Kingdom of Kush.
5. Based on the text we find out that …
a Egyptians employed people to construct papyri.
b Mediterranean people invented papyri in Kingdom of Kush.
c papyrus was only abundant in Southern Sudan.
d papyrus was used for the first time by Egyptians.

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(Citirea selectivă)
Fado is a music genre, which can be traced to the 1820s in Portugal, but probably with much
earlier origins. The only reliable information on the history of Fado was orally transmitted and goes
back to the 1820s and 1830s at best.
Although the origins are difficult to trace, today Fado is commonly regarded as simply a form
of song that can be about anything, but must follow a certain traditional structure. In popular belief,
Fado is a form of music characterized by sad tunes and lyrics, often about the sea or the life of the
poor, and infused with a sentiment of resignation, fatefulness and melancholia. This is loosely captured
by the Portuguese word saudade, or "longing", symbolizing a feeling of loss (a permanent, irreparable
loss and its consequent lifelong damage). This is similar to the character of the music genre Morna
from Cape Verde, which may be historically linked to Fado in its earlier form but has retained its
rhythmic heritage.
6. Fado is generally used to designate….
a a style of music.
b a trace in Portugal.
c a reliable info.
d Portuguese origins.
7. Fado has …
a lyrics about people’s heritage.
b a sea-based characteristic.
c a traditional construction.
d a song about poor life at sea.
8. The Portuguese word saudade means…
a permanent.
b another music genre.
c rhythmic heritage.
d longing and loss.
The United States Capitol dome is situated above the United States Capitol which reaches
upwards to 288 feet (88 m) in height and 96 feet (29 m) in diameter. The dome was designed by
Thomas U. Walter, the fourth Architect of the Capitol, and constructed between 1855 and 1866 at a
cost of $1,047,291 (equivalent to $220 million in 2013). The dome is not stone, but cast iron carefully
painted to appear to be made of the same stone as the main capitol building. It is actually two domes,
one inside the other, and the total weight is 14.1 million pounds (6,400 t).
The origin of the first dome began with the Capitol design contest sponsored by Secretary of
State Thomas Jefferson, at the behest of President George Washington, in 1792. The winner of the
contest, Doctor William Thornton, inserted a dome in his original design for the building. Thornton
drew upon the Roman Pantheon for inspiration with the neoclassical dome and associated portico.
9. The United States Capitol …
a has a length of 96 feet (29 m).
b has a height of 288 feet (88 m).
c is placed under the US Capitol dome.
d was built by Thomas Jefferson.
10. The dome was built from…
a iron.
b stone.
c painted stone.
d the same stone as the main capitol.

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11. What was added to Doctor William Thornton`s original design?
a a dome
b a new building
c a Roman Pantheon
d a capital design
Malta, officially known as the Republic of Malta is a Southern European island country
consisting of an archipelago in the Mediterranean Sea. It lies 80 km south of Italy, 284 km east of
Tunisia, and 333 km north of Libya. The country covers just over 316 km2 with a population of just
fewer than 450,000, making it one of the world's smallest and most densely populated countries. The
capital of Malta is Valletta, which is the smallest national capital in the European Union. Malta has
two official languages: Maltese and English.
Malta's location has historically given it great strategic importance as a naval base, and a
succession of powers, including the Phoenicians, Carthaginians, Romans, Moors, Normans, Sicilians,
Spanish, Knights of St. John, French and British, have ruled the islands. The country became a
republic in 1974, and although no longer a Commonwealth realm, remains a current member state of
the Commonwealth of Nations. Malta was admitted to the United Nations in 1964 and to the European
Union in 2004; in 2008, it became part of the Eurozone.
12. Republic of Malta is a country situated…
a south of Italy, Tunisia and Libya.
b in a Southern European peninsula.
c in the Mediterranean Sea.
d close to European islands.
13. What is the country surface?
a 284 km2
b 80 km2
c 333 km2
d 316 km2
14. The country is one of the….countries in the world.
a most unpopulated
b smallest and most densely inhabited
c richest
d British
15. When did the country become independent?
a 1974
b 1964
c 2004
d 2008
B. Partea a II – a: ELEMENTE DE GRAMATICĂ ŞI VOCABULAR
(Gramatică)
Choose one correct answer a, b, c or d:
16. … idea was to visit the exhibition?
a Who
b Whose
c Which
d What

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17. She gave me a … belt on my birthday!
a leather wonderful blue
b leather blue wonderful
c blue leather wonderful
d wonderful blue leather
18. I won`t know the results for …. days.
a a couple of
b a little
c a great couples of
d much more
19. He said he… at eight o`clock, but it`s already a quarter to nine.
a will have come
b will be come
c would come
d will coming
20. After I … finished working, I switched off the machine.
a had
b have
c having
d to have
21. I … not agree with the Prime Minister`s policy!
a am
b do
c can`t
d to have
22. She said that they … leave at once.
a shall
b will
c need
d should
23. I really don`t like the idea. Neither… I.
a do
b don`t
c nor
d like
24. I know nothing about televisions, so when mine broke down, I took it to the shop to…
a having had it repaired.
b have repaired it.
c have it repaired.
d have had it repaired.
25. He is appearing in … Court next week.
a a
b one
c the
d -

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(Vocabular)
26. Two … were fired, because they were always turning up late.
a employees
b employers
c applicants
d applications
27. Many 18-year-olds are tired of being… on their parents.
a independent
b depending
c dependent
d dependant
28. The children can get to school five minutes earlier if they take a short… through the garden.
a pass
b link
c path
d cut
29. Unfortunately the library provides no … for photocopying.
a reason
b facilities
c desires
d amenities
30. The flight attendant shall be serving coffee immediately after …
a take-off.
b airlift.
c airborne.
d descent.
31. They bought the children an ice cream to…for their disappointment.
a compensate
b recover
c do
d settle
32. He has no…of winning.
a bad luck
b case
c chance
d guilt
33. The accused man was able to …that he had not been at the scene of the crime.
a dare
b signify
c risk
d prove
34. He went on a long holiday to recover…his illness.
a of
b from
c by
d in

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35. I couldn’t find…information about the trip.
a an
b any
c many
d no
B. Partea a III-a: SCRIS
36. Which is the correct word order?
a Music fans mourned the death of the popular pop British singer Amy Winehouse.
b Music fans mourned the death of the British pop popular singer Amy Winehouse.
c Music fans mourned the death of the popular British pop singer Amy Winehouse.
d Music fans mourned the death of the singer popular British pop Amy Winehouse.
37. What text type is it?
Growing pressure on people in their 50s and 60s to stay in paid work is set to divert grandparents
from helping their working daughters and sons with childcare, according to a report today from
the Joseph Rowtree Foundation.
a formal note
b story
c memorandum
d article
38. In what type of letter would you find the following sentence?
Because I know you do a great deal to help the members of my section, I feel I can turn to you with
a matter that has caused us much personal frustration and even more wasted time.
a of complaint
b of invitation
c of apology
d of congratulation
39. Your organization produces a high-quality service, and I can contribute to this with my
leadership skills and my ability to work under pressure. This line appears in a letter…
a of requesting advice.
b of giving information.
c of giving advice.
d of application.
40. Which sentence is incorrect?
a Have you seen Hitchcock`s new movie trailer?
b Have you seen the Hitchcock`s new movie trailer?
c Have you seen the new movie of Hitchcock`s?
d Have you seen Hitchcock`s movie trailer?
41. What is the proper ending of an informal letter?
a Best regards,
b I look forward to speaking with you personally!
c Bye for now!
d If you have an interest in my background, I would be pleased to hear from you.
42. Choose the right connector:
I need an office to myself…I can get some work done.
a so
b to
c for
d although

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43. Which is the right linking word?
I phoned…I need to speak to you.
a because
b so as
c due to
d so that
44. Choose the right conjunction.
I came here…you could give me an explanation.
a as if
b until
c so that
d while
45. Which is the correct way to decline an informal invitation?
a I’m afraid I would not be able to come.
b I would really like to, but I`m engaged in another meeting tonight.
c I am terribly sorry, but unfortunately I have other plans.
d Thanks, but I can’t.
BAREM DE EVALUARE ŞI APRECIERE A
TESTULUI GRILĂ LA ENGLEZĂ
1 c 16 b 31 a
2 a 17 d 32 c
3 b 18 a 33 d
4 b 19 c 34 b
5 d 20 a 35 b
6 a 21 b 36 c
7 c 22 d 37 d
8 d 23 a 38 a
9 b 24 c 39 d
10 a 25 d 40 b
11 a 26 a 41 c
12 c 27 c 42 a
13 d 28 d 43 a
14 b 29 b 44 c
15 a 30 a 45 d

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LUCRARE SCRISĂ LA MATEMATICĂ
1. Valoarea parametrului Rm pentru care ecuaţia 0222  mmxmx admite rădăcini reale
distincte, este:
a) 2m ; b)  4;1m ; c)   ;1m ; d)  0;m ; e) 5m .
2. Progresia aritmetică   1nna de raţie r este caracterizată de relaţiile: 7462  aaa şi
478 2aaa  . Atunci 1a şi r sunt:
a) 2,31  ra ; b) 1,41  ra ; c) 5,21  ra ; d) 2,51  ra ; e) 2,21  ra .
3. Parametrul Rm pentru care ecuaţiile 012)23(2 2  xmx şi 036)29(4 2  xmx au o
rădăcină comună, este:
a) 3m ; b) 2m ; c) 1m ; d) 0m ; e) 3m .
4. Dacă 5
3
sin 
 şi 2
0

  , atunci valoarea expresiei




tgctg
tgctg

 este:
a) 7
23 ; b) 7
1 ; c) 17
25 ; d) 3
25 ; e) 7
25 .
5. Produsul soluţiilor ecuaţiei 02731391327 1  xxx este:
a) 3; b) 1; c) 7; d) 4; e) 0.
6. Dacă 5
7
7
3
5 





i
y
i
x unde Ryx, şi 12 i , atunci:
a) 8,20  yx ; b) 18,10  yx ; c) 18,10  yx ; d) 8,1  yx ; e) 7,2  yx .
7. Dacă a5log2 şi b3log2 atunci 12log15 este:
a) ba
ba


5
2 ; b) ba
ba

 ; c) ba
ba

2 ; d) ba
ba

 ; e) ba
b

2 .
8. Termenul din dezvoltarea
22
4
3







  a
b
b
a care îl conţine pe 2
1
a este:
a) 15T ; b) 14T ; c) 16T ; d) 17T ; e) 18T .
9. Se consideră dreapta variabilă     021:  yxyxd

 . Determinaţi parametrul R
 astfel
încât dreapta  
d este perpendiculară pe dreapta   0223:  yxd .
a) 3
1

 ; b) 4
1

 ; c) 2
1

 ; d) 6
1

 ; e) 3
1

 .
10. Dacă 
 Aa
aM 2 , unde























 ăinversabilestenu
0
343
a0
matricea|
aa
a
a
aA R , atunci:
a) ;
7
2
M b) ;
9
1
M c) ;
9
2
M d) ;
9
49
M e) 13
9
M .
11. Fie matricea 





 85
42
A . Atunci matricea 1
2 49 
 AIA este:
a) 2O ; b) 2I ; c) A ; d) 2IA  ; e) 2IA  .
12. Să se determine parametrii Rba, pentru care funcţia   RR 1-:f , 1
)(
2


 x
bax
xf are
tangenta la grafic în punctul de abscisă 20 x dreapta de ecuaţie   132:  xyd .

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a) 1,2  ba ; b) 2,
4
1  ba ; c) 1,
4
7  ba ; d) 4,
4
3  ba ; e) 2,
4
7  ba .
13. Valoarea limitei )11(
cos1
lim
0 

 xx
x
x este:
a) 0 ; b) 3 3
1 ; c) 1; d) 4
1 ; e) 2
1 .
14. Se consideră funcţia axxxff  2
1)(,: RR , Ra . Atunci valoarea integralei
 
1
0
)( dxxfx este:
a)   4
522
3
1 a
 ; b)   2
12
3
1 a
 ; c)   3
122
3
1 a
 ; d)   3
722
3
1 a
 ; e) 23
2 a
 .
15. Aria domeniului mărginit de graficul funcţiei x
xff 2
cos
1
)(,
4
,0: 


 R
 şi dreptele 0x ,
0y şi 4

x este:
a) 2ln1 ; b) 3
2 ; c) 2ln2 ; d)1; e) 2.
BAREM DE EVALUARE ŞI APRECIERE A
TESTULUI GRILĂ LA MATEMATICĂ
1 d
2 d
3 a
4 e
5 e
6 b
7 e
8 d
9 b
10 d
11 b
12 e
13 c
14 c
15 d
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Răspunsuri directe

Ce trebuie să știi despre acest subiect?

Ce document de admitere este acesta?

Pagina prezintă examen de admitere din 2016 pentru Matematică și Limba engleză, la Programe de studii universitare de licență. Documentul este etichetat după instituție, facultate, program și tipul probei folosind inventarul public verificat. Consultă metodologia actuală a instituției pentru condițiile examenului viitor.

Există și barem sau răspunsuri pentru acest subiect?

Da. Pagina include baremul sau răspunsurile publice asociate acestui subiect, afișate separat ori în același document atunci când sursa le publică împreună. Verifică fiecare rezolvare după ce ai terminat varianta și urmărește exact criteriile de punctare indicate de instituție.

Cum folosesc acest subiect în pregătirea pentru admitere?

Rezolvă documentul fără ajutor și respectă timpul prevăzut de metodologia examenului. Corectează cu baremul disponibil, marchează capitolele unde ai pierdut puncte și repetă exerciții similare. Compară apoi cu alte probe din aceeași facultate și confirmă programa curentă pe site-ul oficial al instituției.