Matematika va Ingliz tili yo’nalishi №1

1. x² + y² - 12x + 6y + 9 = 0 tenglama bilan berilgan aylananing markazini toping

2. Hasan, Husan va ularning 3 nafar oʻrtoqlari orasidan ixtiyoriy tanlangan 3 kishining orasida Hasan va Husan boʻlishi ehtimolligini toping.

3. a va b orqali ifodalangan m ning qanday qiymatida ifoda to’la kvadrat bo’ladi?

4. x² + ax = 1 tenglamaning x1 va x2 ildizlari    tenglikni qanoatlantirsa, a² - 2 ning qiymatini toping.

5. Tengsizliklar sistemasini yeching.

6. cosx + sinx/2 = 1 tenglama [0; 2π] da nechta ildizga ega?

7. Soddalashtiring

8. Ifodani soddalashtiring:

9. Funksiyaning eng kichik qiymatini toping.

10. (x  + 1) · (|x| - 1) ≥ 2 tengsizlikni yeching.

11. ABCD teng yonli trapetsiyaga radiusi 2 ga teng boʻlgan aylana ichki chizilgan. Agar trapetsiya asoslarining nisbati 4:9 kabi boʻlsa, kichik asos uzunligini
toping.

12. f ( x)=x² funksiyaning (0;0) va (1;1) nuqtalaridan oʻtuvchi toʻgʻri chiziqqa parallel boʻlgan urinma tenglamasini tuzing.

13. Agar   ifodaning qiymatini toping.

14. Integralni hisoblang:

15. Funksiyaning qiymatlar to’plamini toping.

16. AB kesmani A uchidan boshlab hisoblanganda C nuqta 3:4 nisbatda, D nuqta esa AC kesmani 4:3 nisbatda boʻladi. Agar AB kesmaning uzunligi 49 cm boʻlsa, u holda AD kesmaning uzunligini (cm) toping.

17. ABC uchburchakning A uchidan BC tomoniga AD mediana tushirildi, bunda AD = BD = AC bo’ladi. BC tomonning AB tomonga nisbatini toping.

18. a va b ning qanday qiymatlarida tenglamalar sistemasi yechimlarga ega emas?

19. a va b raqamlar yig’indisi 7 ga qoldiqsiz bo’linadi. Agar aba ko’rinishidagi uch xonali sonlarni 7 ga bo’lganda bir xil qoldiq qolsa, shu qoldiqni toping.

20. Hadlari x_n = 4n² + cn + 2 formula bilan berilgan ketma – ketlikda x₄ - x₂ = 52 boʻlsa, bu ketma – ketlikning uchinchi hadini toping.

21. Arifmetik progressiyaning oltinchi hadi 17 ga teng, dastlabki 16 ta hadning yig’indisi esa 392 ga teng. Ushbu progressiyaning 9-hadini toping.

22. 3·9^2x+2·9^x-1≤0 tengsizlikni yeching

23. O’ziga qo’shni burchakning 4/5 qismiga teng bo’lgan burchakning yarimini toping.

24. Hisoblang:

25. Funksiyaning aniqlanish sohasiga tegishli natural sonlar nechta?

26. Tenglamaning ildizlari ʻ ko paytmasini toping.

27. Hisoblang:

28. Barcha ikki xonali sonlar ko’paytmasi tub sonlar ko’paytmasi shaklida yozilganda, bu ko’paytmada 7 soni necha marta qatnashadi?

29. 0; 1; 2; 3; 4; 5 raqamlardan jami nechta raqamlari takrorlanmaydigan 3 xonali sonlar tuzish mumkin?

30. vektorlar uchun    bo'lsa, x ni toping.

31. Read and then choose the correct answer to questions.

Emma Christoffersen was twenty-eight years old when she collapsed moments after leaving a long flight from Australia. Her death highlighted the statistics concerning health-related problems during long flights. In fact, more people die from health-related incidents during flights than from air crashes. Studies show that poor air quality, low oxygen levels, and cramped seating are triggering heart attacks and deep vein thrombosis as well as causing contagious diseases among an increasingly large number of passengers. Long periods of sitting in cramped quarters can cause blood clots to form, especially in the legs and lower abdomen, which can cause deep vein thrombosis, from which Emma died. Passengers have also contracted tuberculosis through recycled air.

Despite these problems, the airlines are not addressing these issues and continue to reduce the space between seats. The Aviation Health Institute advises that cabins be ventilated every three minutes, but at present, the average is every ten. To minimize the risk to their health, passengers are advised to exercise and drink plenty of water during a flight.

The main factors contributing to health-related problems during flight that are mentioned in the passage are

32. Read and then choose the correct answer to questions.

Emma Christoffersen was twenty-eight years old when she collapsed moments after leaving a long flight from Australia. Her death highlighted the statistics concerning health-related problems during long flights. In fact, more people die from health-related incidents during flights than from air crashes. Studies show that poor air quality, low oxygen levels, and cramped seating are triggering heart attacks and deep vein thrombosis as well as causing contagious diseases among an increasingly large number of passengers. Long periods of sitting in cramped quarters can cause blood clots to form, especially in the legs and lower abdomen, which can cause deep vein thrombosis, from which Emma died. Passengers have also contracted tuberculosis through recycled air.

Despite these problems, the airlines are not addressing these issues and continue to reduce the space between seats. The Aviation Health Institute advises that cabins be ventilated every three minutes, but at present, the average is every ten. To minimize the risk to their health, passengers are advised to exercise and drink plenty of water during a flight.

The author states that airlines are currently

33. Read and then choose the correct answer to questions.

Emma Christoffersen was twenty-eight years old when she collapsed moments after leaving a long flight from Australia. Her death highlighted the statistics concerning health-related problems during long flights. In fact, more people die from health-related incidents during flights than from air crashes. Studies show that poor air quality, low oxygen levels, and cramped seating are triggering heart attacks and deep vein thrombosis as well as causing contagious diseases among an increasingly large number of passengers. Long periods of sitting in cramped quarters can cause blood clots to form, especially in the legs and lower abdomen, which can cause deep vein thrombosis, from which Emma died. Passengers have also contracted tuberculosis through recycled air.

Despite these problems, the airlines are not addressing these issues and continue to reduce the space between seats. The Aviation Health Institute advises that cabins be ventilated every three minutes, but at present, the average is every ten. To minimize the risk to their health, passengers are advised to exercise and drink plenty of water during a flight.

According to the passage, air crashes account for

34. Read and then choose the correct answer to questions.

Most of us feel quite satisfied with the amount of care we show to our teeth merely by brushing them frequently enough. However, we don't realize the damage we give to our teeth if we don't know the proper way of brushing. Experts state that the way we brush our teeth has a great influence on our dental health. In Finland, for instance, the Academy of General Dentistry has warned against wielding your toothbrush in what it called the "death-grip" - that is, clenching the brush in the palm and scrubbing your teeth vigorously. Such overzealous cleaning can cause the gums to recede and damage the exposed roots of the teeth.

Researchers in Finland studied one brushing technique that can help you exert less pressure: grip the brush as you would a pen - between your thumb and first two fingers. Done correctly, this method can cause less damage to the gums and clean as effectively as the standard grip.  Select  a  brush with soft  bristles  and use short, gentle, circular strokes.

According to the results of the research carried out in Finland,

35. Read and then choose the correct answer to questions.

Most of us feel quite satisfied with the amount of care we show to our teeth merely by brushing them frequently enough. However, we don't realize the damage we give to our teeth if we don't know the proper way of brushing. Experts state that the way we brush our teeth has a great influence on our dental health. In Finland, for instance, the Academy of General Dentistry has warned against wielding your toothbrush in what it called the "death-grip" - that is, clenching the brush in the palm and scrubbing your teeth vigorously. Such overzealous cleaning can cause the gums to recede and damage the exposed roots of the teeth.

Researchers in Finland studied one brushing technique that can help you exert less pressure: grip the brush as you would a pen - between your thumb and first two fingers. Done correctly, this method can cause less damage to the gums and clean as effectively as the standard grip.  Select  a  brush with soft  bristles  and use short, gentle, circular strokes.

It's advised, in the passage, that in order to obtain better results one should

36. Read and then choose the correct answer to questions.

Most of us feel quite satisfied with the amount of care we show to our teeth merely by brushing them frequently enough. However, we don't realize the damage we give to our teeth if we don't know the proper way of brushing. Experts state that the way we brush our teeth has a great influence on our dental health. In Finland, for instance, the Academy of General Dentistry has warned against wielding your toothbrush in what it called the "death-grip" - that is, clenching the brush in the palm and scrubbing your teeth vigorously. Such overzealous cleaning can cause the gums to recede and damage the exposed roots of the teeth.

Researchers in Finland studied one brushing technique that can help you exert less pressure: grip the brush as you would a pen - between your thumb and first two fingers. Done correctly, this method can cause less damage to the gums and clean as effectively as the standard grip.  Select  a  brush with soft  bristles  and use short, gentle, circular strokes.

It's stated in the passage that

37. Read and answer the following questions about the text.
Today, the United States is in the grip of a second Industrial revolution. While the first, stretching from the 1870s to the 1970s, shifted the main sector of the American economy from agriculture to industry, the new revolution is shifting the economy away from traditional “smokestack” manufacturing industries to those based upon information, services and new technologies. It took the country decades to accommodate the cultural and social changes resulting from the first industrial revolution and it would be rashly optimistic to assume that Americans will not face serious stresses in coming to terms with the changes that are transforming the workplace today.

The author is worried that the Americans

38. Read and answer the following questions about the text.
Today, the United States is in the grip of a second Industrial revolution. While the first, stretching from the 1870s to the 1970s, shifted the main sector of the American economy from agriculture to industry, the new revolution is shifting the economy away from traditional “smokestack” manufacturing industries to those based upon information, services and new technologies. It took the country decades to accommodate the cultural and social changes resulting from the first industrial revolution and it would be rashly optimistic to assume that Americans will not face serious stresses in coming to terms with the changes that are transforming the workplace today.
The writer points out that the change in America from an agricultural to an industrial economy ________ .

39. Read and answer the following questions about the text.
Today, the United States is in the grip of a second Industrial revolution. While the first, stretching from the 1870s to the 1970s, shifted the main sector of the American economy from agriculture to industry, the new revolution is shifting the economy away from traditional “smokestack” manufacturing industries to those based upon information, services and new technologies. It took the country decades to accommodate the cultural and social changes resulting from the first industrial revolution and it would be rashly optimistic to assume that Americans will not face serious stresses in coming to terms with the changes that are transforming the workplace today.

It is understood from the passage that the American economy ________ .

40. Read and then choose the correct answer to questions 
Literary and artistic creativity have generally been highly valued by the French people, and such activities have flourished there and gone on to spread the influence of French culture throughout the world. Such 18th-century author philosophers as Voltaire and Jean-Jacques Rousseau were instrumental in shaping the ideas of modern France, and the works of Jean Racine, Moliere and other neoclassical playwrights are still widely performed. Victor Hugo, Honore de Balzac, and Emile Zola were among the literary giants of the 19th century. French authors have won eleven Nobel prizes for literature, far more than those of any other nation.
Painting has also long been a vital art form in France. Artists often enjoyed the patronage of the nobility, producing works of quality and variety. During the 1800s, the impressionist movement was largely the inspiration of such French artists as Edgar Degas, Pierre Auguste Renoir and Claude Monet, and many art trends of the 20th century also originated in France. In addition, the atmosphere of free inquiry and artistic integrity that has generally been present in France has attracted many artists and writers from other countries
It is mentioned in the passage that

41. Read and then choose the correct answer to questions 
Literary and artistic creativity have generally been highly valued by the French people, and such activities have flourished there and gone on to spread the influence of French culture throughout the world. Such 18th-century author philosophers as Voltaire and Jean-Jacques Rousseau were instrumental in shaping the ideas of modern France, and the works of Jean Racine, Moliere and other neoclassical playwrights are still widely performed. Victor Hugo, Honore de Balzac, and Emile Zola were among the literary giants of the 19th century. French authors have won eleven Nobel prizes for literature, far more than those of any other nation.
Painting has also long been a vital art form in France. Artists often enjoyed the patronage of the nobility, producing works of quality and variety. During the 1800s, the impressionist movement was largely the inspiration of such French artists as Edgar Degas, Pierre Auguste Renoir and Claude Monet, and many art trends of the 20th century also originated in France. In addition, the atmosphere of free inquiry and artistic integrity that has generally been present in France has attracted many artists and writers from other countries

The passage tells us that the impressionist movement

42. Read and then choose the correct answer to questions 
Literary and artistic creativity have generally been highly valued by the French people, and such activities have flourished there and gone on to spread the influence of French culture throughout the world. Such 18th-century author philosophers as Voltaire and Jean-Jacques Rousseau were instrumental in shaping the ideas of modern France, and the works of Jean Racine, Moliere and other neoclassical playwrights are still widely performed. Victor Hugo, Honore de Balzac, and Emile Zola were among the literary giants of the 19th century. French authors have won eleven Nobel prizes for literature, far more than those of any other nation.
Painting has also long been a vital art form in France. Artists often enjoyed the patronage of the nobility, producing works of quality and variety. During the 1800s, the impressionist movement was largely the inspiration of such French artists as Edgar Degas, Pierre Auguste Renoir and Claude Monet, and many art trends of the 20th century also originated in France. In addition, the atmosphere of free inquiry and artistic integrity that has generally been present in France has attracted many artists and writers from other countries

We learn from the passage that no nation other than France

43. Choose the correct answer We expect him … a newspaper.

44. . Choose the correct answer. I intend to go to Greece this summer … it can be very expensive.

45. Choose the correct answer. At last we’ve found our book, but where is … ?

46. Choose the answer which correctly completes the sentence. Dear Jane, sorry to hear about your problem at work. I think you are doing the right thing, but I doubt whether your boss really ... his job from what you are telling me.

47. Choose the answer which correctly completes the sentence. I … my text by 9 o’clock last evening.

48. Choose the correct answer. If you … the Prime Minister what … you … ?

49. Choose the appropriate prepositions. We got... the train and put our luggage... the top.

50. “You must do what you are told”. She said .

51. Choose the correct answer. My aunt, son-in-law is the managing director of a large company, has been to a garden party at Buckingham Palace.

52. Choose the appropriate form of the verb. Excuse me, I … at you for a long time, because your face seems familiar to me. I have a feeling that we have met somewhere before.

53. Choose the correct answer. Your English is much … now. You’ve made … mistakes this time.

54. Choose the correct answer He usually left us without …a word.

55. Choose the correct answer to complete the dialogue. What is this? Is this... book you told me about? Yes, it’s about... life of Queen Victoria

56. Choose the correct answer. - Will you participate in the wedding?- …

57. Choose the answer which correctly completes the sentence I am a bit late, … …? I am sorry then

58. Choose the correct answer. Why weren’t you here earlier? You … here earlier.

59. Choose the answer which correctly completes the sentence. What time … you … Aziza this evening?

60. Choose the answer which correctly completes the sentence. In the evenings last year Captain Brown … to their place and they … a game or two of chess.

61. Ifodaning qiymatini toping: (|-111|-80)+ |-29|

62. Abdurahmon qadamining uzunligi 0,55 m. U 55 m yo‘l yurishi uchun necha qadam tashlashi kerak?

63. Sinfda 26 o‘quvchi bor. Matematikadan o‘tkazilgan nazorat ishida o‘quvchilarning 3/13 qismi – «5», 5/13 qismi – «4» va qolgani – «3» baho oldi. Qancha o‘quvchi «3» baho olgan?

64. EKUK(15,45,21) ni toping.

65. Yig indini hisoblang. 25+25+27+29+31+33+35+37+60

66. Hisoblang.

67. Bog‘da 150 tup olma va 450 tup o‘rik meva daraxtlari mavjud. Olma daraxti jami bog‘dagi mevalarning necha foizini tashkil etadi?

68. Bir kub metr beton qorishmasini quydirish 50 ming so‘m. Balandligi 4 metr, eni 4 metr va uzunligi 8 metr (to‘g‘ri burchakli parallelepiped shaklida) bo‘lgan beton devor quydirish necha so‘m bo‘ladi?

69. Hisoblang.

70. Bir kub metr beton qorishmasini quydirish 50 ming so‘m. Balandligi 2 metr, eni 0,5 metr va uzunligi 18 metr (to‘g‘ri burchakli parallelepiped shaklida)  bo‘lgan beton devor quydirish necha so‘m bo‘ladi?

71. Qaysi uslubda adabiy me’yorga qat’iy rioya etilgani holda majhul nisbatdagi fe’llar va murakkab qurilishli gaplar keng ishlatiladi?

72. Quyidagi tillardan qaysi biri turkiy tillar oilasining qarluq guruhiga mansub?

73. Zidlov munosabatli bog‘langan qo‘shma gaplarda qanday voqea- hodisalar ifodalanadi?

74. Quyidagi so‘zlardan nechtasi imloviy jihatdan noto‘g‘ri yozilgan? Jaholat, hokisor, mutaxasis, hoxish, zahmat, aynala, taxsimot, asil, bepayon.

75. Buyuk olim odamning nopok istaklari va tuban ehtiroslarini uyga qamab qo‘yilgan uch maxluq odam, tong‘iz va arslonga o‘xshatgan ekan. Ushbu gapda qaysi kelishik qo‘shimchalari ishirok etmagan?

76. Bajaruvchining harakat va holat jarayonida qay darajada ishtirok etishini bildiruvchi fe’l shakllari qaysi qatorda to‘g‘ri ko‘rsatilgan?

77. Tishlarimni ko‘rmak istasang, Tushlaringni marvaridga ayt, Gar o‘zimni ko‘rmak istasang, Yovni yengib, tezroq qayt. Ushbu parchadagi fonemalarni aniqlang.

78. Muallim va ustozning qimmatli vaqtlarini qadrlab, aytganlariga diqqat bilan quloq sol. Ushbu parchadagi ismlar guruhiga mansub so‘zlar qaysi turkumlarga tegishli? 1ot 2sifat 3fe’l

79. Ham ot, ham sifat yasovchi shakldosh qo‘shimchalarni aniqlang.

80. g undoshining kundoshidan farqlovchi belgisi qaysi javobda ko‘rsatilgan?

81. G‘aribxona, musofirxona so‘zlari qanday manoni bildiradi?

82. O‘rta Osiyoda milliy hududiy chegaralanish qachon o‘tkazilgan?

83. Quyidagi qaysi alloma 1123-yilda Rishtonda tug‘ilgan?

84. Qaysi Buxoro amiri butun musulmon olamining xalifasi deb e’lon qilingan?

85. O‘zbekiston Respublikasi Prezidentining 2017–2021-yillarda O‘zbekiston Respublikasini rivojlantirishning beshta ustuvor yo‘nalishi bo‘yicha “Harakatlar strategiyasi” to‘g‘risidagi farmoni qachon tasdiqlandi?

86. “Movarounnahr” so‘zi qaysi tildan olingan va uning ma'nosi nima?

87. Butun Sharqda parlament raisi bo‘lgan birinchi ayol kim?

88. Quyidagi qaysi tarixiy asarda o‘lkamizning qadimgi aholisi to‘g‘risida batafsil ma'lumot berilgan?

89. Mamlakat ma’naviy hayotining asosi hisoblangan islom mafkurasiga somoniylar hukmronligi davrida kim rahnamolik qilardi?

90. MAN Auto Uzbekistan” qo‘shma korxonasi qachon ishga tushirilgan?