Bo'lim: Matematika attestatsiya

Matematika attestatsiya №14

Oktabr 30, 2022Oktabr 30, 2022 da chop etilgan InfoMaster tomonidan Matematika attestatsiya №14 ga fikr bildirilmagan.

OMAD YOR BO'LSIN!

Matematika fanidan attestatsiya savollari №14

17.10.2022 Toshkent savollari!

1 / 40

1. bo‘lsa, ni toping.

A) 0

B) 1

C) 2

D) 1.5

2 / 40

2. 2⁷⁵+3³⁰ sonini 41 ga bo‘lganda qoladigan qoldiqni aniqlang.

A) 0

B) 1

C) 9

D) 5

3 / 40

3. tengsizlik nechta butun yechimga ega?

A) 1

B) Ø

C) 2

D) cheksiz ko‘p

4 / 40

4. Tengsizlikni yeching: 3·9^x -10·21^x + 7 ·49^x ≤0

A) [-1;0]

B) [0;1]

C) [-1;1]

D) [1;2]

5 / 40

5. y = xln x funksiya hosilasini toping.

A) lnx+1

B) lnx(x+1)

C) lnx+x

D) xx(lnx+1)ln x 1

6 / 40

6. va f(x)=y(x) bo‘lsa, f(5) ni toping.

A) -1

B) 5

C) -5

D) 1

7 / 40

7. Hisoblang:

A) 2

B) 6

C) 11

D) 9

8 / 40

8. y=sin²(x/2-π/4) + 2cos2x funksiyaning eng kichik musbat davrini toping

A) 2π

B) π

C) 3π

D) 4π

9 / 40

9. cosx=0,2x tenglama nechta yechimga ega?

A) 4

B) 3

C) 2

D) 1

10 / 40

10. Soddalashtiring:

A) Aniqlab bo`lmaydi

B) 2

C) 3

D) 1

11 / 40

11. y=x²+1-|sinx| funksiya grafigi Ox o‘qidan pastda yotadimi?

A) yo'q

B) ha

12 / 40

12. bo‘lsa, f ^-1(x) ni toping. Bunda f ^-1(x)-f(x) ga teskari funksiya.

A) 2

B) 3

C) 4

D) 1

13 / 40

13. tenglamani yeching.

A) 2

B) 3

C) 0

D) 1

14 / 40

14. |x²-2x|≤xtengsizlikning butun yechimlari yig‘indisini toping.

A) 3

B) 10

C) 15

D) 6

15 / 40

15. Agar va ular orasidagi burchak 120o bo‘lsa, ni toping.

A) 2√5

B) 2√7

C) 5

D) 7

16 / 40

16. Ushbu tenglik da ham to‘g‘rimi?

A) Ha

B) Yo'q

17 / 40

17. va bo‘lsa, a ni b orqali ifodalang.

A) a=24-3b

B) a=18+2b

C) a=24-3b

D) a=18-3b

18 / 40

18. Agar x= y + 4 bo‘lsa,

A) 0

B) 2

C) 1

D) 3

19 / 40

19. Tenglamani yeching:

A) 2

B) 5

C) 4

D) 1

20 / 40

20. ABC uchburchakning og‘irilik markazi G nuqta. Agar BG = 1 dm, CG = 6 cm va AG ⊥ CG bo‘lsa, AG ni (cm) toping.

A) 8

B) 10

C) 9

D) 6

21 / 40

21. Hisoblang:

A) 2021

B) 2022

C) 2019

D) 2020

22 / 40

22. Agar bo‘lsa, f(1)+f(-1) ni toping.

A) 0

B) 1

C) 2

D) -1

23 / 40

23. Agar tgx α =4 bo‘lsa,

A) -2

B) -47/25

C) 1

D) 4

24 / 40

24. Agar cos4x = acos4 x + bcos² x +1 bo‘lsa, a+b = ?

A) -2

B) -1

C) 0

D) 1

25 / 40

25. Quydagi shaklning to’la sirtini ifadolovchi formulani tuzing?

A) 2x+3b+4d

B) 2bdx+2bd

C) 2x(b+d)+2bd

D) 2x(b+d)

26 / 40

26. Quyidagi keltirilgan ko‘paytirish amalida qatnashgan harflar turli qiymatlarga ega bo‘lsa, A+ B+C = ?

A) 13

B) 12

C) 10

D) 11

27 / 40

27. bo‘lsa, x· y ni toping.

A) 1

B) 3

C) 4

D) 2

28 / 40

28. Ayirmasi d ga teng bo‘lgan arifmetik progressiya uchun ni toping.

A) 1/3

B) 1/2

C) 2/3

D) 1/4

29 / 40

29. Tengsizlikning manfiy yechimlari o‘rta arifmetigini toping.

A) -1

B) -3

C) -2

D) -1,5

30 / 40

30. englamaning [0;π ] kesmadagi ildizlari soni 3 tadan ko‘pmi?

A) ha

B) yo'q

31 / 40

31. tenglama ildizlari yig‘indisini toping.

A) -2

B) -1

C) 0

D) 1

32 / 40

32. x²-√11x+1=0 0 bo‘lsa,

A) 10

B) 9

C) 12

D) 11

33 / 40

33. Chizmada nechta parallelogramm bor?

A) 16

B) 24

C) 18

D) 12

34 / 40

34. ko’paytmani hisoblang.

A) 0

B) 480000

C) 10000

D) 86420000

35 / 40

35. Agar arifmetik progressiyada bo‘lsa, dastlabki 10 ta hadining yig‘indisini toping.

A) 153 yoki 317

B) 160 yoki 317

C) 155 yoki 245

D) 150 yoki 245

36 / 40

36. Hisoblang: cos² 10°+ cos² 30°+ cos² 80°

A) 2.25

B) 1,5

C) 1

D) 1.75

37 / 40

37. Integralni hisoblang:

A) 3π/4

B) 3π/26

C) 3π/16

D) 3π/8

38 / 40

38. Noaniq integralni toping. ∫(sin²x+cos²x)dx

A) 4x+c

B) x/2+c

C) x+c

D) 2x+c

39 / 40

39. Chizmada nechta uchburchak tasvirlangan?

A) 64

B) 48

C) 52

D) 36

40 / 40

40. Agar f (x)-3x-2 bo‘lsa, f(a+b+c)-f(abc)=? Bunda a, b, c – kvadrat funksiya koeffitsiyentlari.

A) 7

B) 9

C) 8

D) 10

Matematika attestatsiya

Matematika attestatsiya №13

Iyul 21, 2022Iyul 21, 2022 da chop etilgan InfoMaster tomonidan Matematika attestatsiya №13 ga fikr bildirilmagan.

OMAD YOR BO'LSIN!

Matematika fanidan attestatsiya savollari №13

DIQQAT! Endi siz o'z bilmingizni sinab ko'rish bilan birga sertifikatga ham ega bo'lishingiz mumkin.

Sertifikat olish uchun barcha ma'lumotlarni to'g'ri kiriting!

Testda 76% va undan yuqori natija oling va sertifikatni yuklab oling.

1 / 40

1. Agar f(x)=x³─5x²+2x+a va f "(2)=f(2) bo’lsa, a ning qiymatini toping.

A) 12

B) 10

C) 6

D) 5

2 / 40

2. Teng yonli trapetsiyaning diagionali o‘rta chizig‘ini 1 va 5 ga teng kesmalarga ajratadi. Trapetsiyaning yuzi 48 ga teng bo‘lsa, yon tomonini toping.

A) 5

B) 3√2

C) 4√5

D) 6

3 / 40

3. f(x)=2·tgx funksiyaning x₀=π nuqtadagi hosilasini toping.

A) -2

B) 2

C) 1

D) 0

4 / 40

4. Qfodaning qiymatini toping.

A) 2

B) 1

C) 0,58

D) 0,5

5 / 40

5. Teng yonli uchburchakning asosi yon tomonidan 15 ga ortiq uchburchakning asosiga tushirilgan balandligi 15 ga teng bo’lsa , uning asosini toping.

A) 40

B) 42

C) 20

D) 36

6 / 40

6. 3x3 o‘lchamli kvadratning tugunlarida 16 ta nuqta belgilanib, ularning o‘ng tomondan eng yuqorisidagi A bilan belgilangan. Bir uchi A nuqtada, qolgan uchlari qolgan 15 ta nuqtada orasidan tanlanadigan uchburchaklarning sonini toping.

A) 105

B) 96

C) 100

D) 25

7 / 40

7. 2^a = 5 va 20^b = 125 bo’lsa, a ni b orqali ifodalang.

A) 3b/(2+b)

B) 2b/(3-b)

C) (3-b)/2b

D) b/(3-b)

8 / 40

8. Chizmaga ko`ra x ning eng kichik butun qiymatinitoping ?

A) 7

B) 9

C) 8

D) 6

9 / 40

9. 2 ta bola 64 m masofaga yugurish bo’yicha noodatiy ravishda bellashishmoqda. Bellashuv shartiga ko’ra boshlang’ich chiziqdan 3 qadam oldinga yurgandan so’ng, 2 qadam orqaga yurish kerak. 1-bolaning qadami uzunligi 50 sm, 2-bolani qadami uzunligi esa 40 sm, lekin har 3 sekundda: 1-bola 3 marta qadam tashlaydi, 2-si 4 qadam tashlagan bo’lsa, qaysi bola g’alaba qozongan?

A) 2-bola

B) 1-bola

C) Ikkalasi teng keladi

D) Aniqlab bo’lmaydi

10 / 40

10. Uchburchakning b va c ga teng tomonlari orasidagi burchagi 30⁰ ga teng. Uchburchakning uchunchi tomoni 12 ga teng bo'lsa hamda uning tomonlari c² = b² + 12b + 144 shartni qanoatlantirsa, c ning qiymatini toping.

A) 24√3

B) 6√3

C) 12

D) 12√3

11 / 40

11. ABCD qavariq to‘rtburchakka aylana ichki chizilgan. AB = 8 va BC = 12 bo‘lsa, CD – AD ayirmani toping?

A) 3

B) 2

C) 4

D) aniqlab bo’lmaydi

12 / 40

12. funksiyaga teskari funksiyani toping.

A) IV

B) I

C) III

D) II

13 / 40

13. f(3x)=x+f(3x-3) va f(3)=1 bo'lsa, f(300) nechaga teng?

A) 3600

B) 4800

C) 600

D) 5050

14 / 40

14. Tenglama ildizlari ayirmasining modulini toping.

A) 5

B) 2√5

C) √5+5

D) √5

15 / 40

15. Konus o’q kesimi yuzi 4√3 ga teng muntazam uchburchakdan iborat. Konus to’la sirtini toping?

A) 18π

B) 6π

C) 12π

D) 24π

16 / 40

16. Hisoblang: sin10° •sin50° •sin70°

A) 0

B) 0,125

C) 0,25

D) 0,5

17 / 40

17. sin(2arctg0,75) ni hisoblang

A) 22/25

B) 11/15

C) 24/25

D) 12/15

18 / 40

18. x ning qanday qiymatida lg2; lg(2^x-1); lg(2^x+3) arfimetik progressiyani tashkil qiladi?

A) log₅2

B) log₂5

C) 2

D) 3

19 / 40

19. ifoda x ning nechta qiymatida ma’noga ega emas?

A) 1

B) 3

C) 2

D) 4√2/9

20 / 40

20. Meshdagi suv Sarvarning o'ziga 20 kunga, Behruzga esa 60 kunga yetadi. Meshdagi suv ikkalasiga necha kunga yetadi?

A) 15

B) 12

C) 16

D) 14

21 / 40

21. f(x+10)=f(x)·f(x-10)-x f(0)=1/2 va f(10)=30 bo’lsa, f(20)=?

A) 2

B) 30

C) 6

D) 5

22 / 40

22. f(2x-1)=4x-5 bo’lsa, f^-1(x)=?

A) (x-3)/3

B) (x+3)/2

C) (x-7)/2

D) (x-2)/3

23 / 40

23. Birinchi va oxirgi raqami juft bo‘lgan va 1000 ga bo‘linmaydigan barcha to‘rtxonali sonlar nechta?

A) 960

B) 1996

C) 1800

D) 1600

24 / 40

24. y=6x+18 to’g’ri chiziq bilan chegaralangan soha yuzini toping.

A) 12

B) 18

C) 48

D) 27

25 / 40

25. To’g’ri burchakli uchburchakning katetlari 5 sm va 12 sm. Uchburchakka ichki chizilgan aylananing radiusini toping.

A) 3 sm;

B) 2 m;

C) 4 sm;

D) 2 sm;

26 / 40

26. y₁ va y₂ y² + my + n = 0 tenglamaning ildizlari, y₁ va y₂ ning har birini 4 taga orttirib, ildizlari hosil bo'lgan sonlarga teng kvadrat tenglama tuzildi. Agar uning ozod hadi n -24 (n dastlabki tenglamaning ozod hadi) ga teng bo'lsa, m nechaga teng?

A) 11

B) 10

C) 9

D) 12

27 / 40

27. 1,2,3,4,2,3,1,4,5,3,2,12,3,4,2,1,3,2,1,4,3,2,1,2,3,4,2,1,2,3. Chastotasi eng kata bo’lgan songa 3 ni qo’shsak achiqsa. a²= ?

A) 36

B) 25

C) 16

D) 49

28 / 40

28. x+y-z=7 va x²+y²+z²=19 bo'lsa, yz+xz-xy=?

A) 15

B) 30

C) -15

D) -6

29 / 40

29. Hisoblang.

A) 0

B) -1

C) 1

D) 2

30 / 40

30. 180 gramm suvga 70 gramm tuz aralashtrildi. Hosil bo‘lgan aralashmaninmg necha foizi suvdan iborat?

A) 70

B) 75

C) 78

D) 72

31 / 40

31. Agar ln(ab)=2x ba ln(a/b)=2y bo'lsa, a=?

A) IV

B) I

C) II

D) III

32 / 40

32. Silindr yon sirtining yoyilmasi tomoni b ga teng kvadratdan iborat. Silindir to’la sirtini toping.

A) b²/2π

B) b²-b²/2π

C) b²-2π

D) b²+b²/2π

33 / 40

33. Aniqmas integralni hisoblang.

A) ln(lnx)

B) lnx+c

C) xlnx-x+c

D) ln(lnx)+c

34 / 40

34. Ikki natural sonning kvadratlarining o'rta arifmetigi 34 ga, o'rta geometrigi esa 8 ga teng. Shu sonlarning yig'indisini yarmini toping toping.

A) 9

B) 7

C) 6

D) 14

35 / 40

35. sin (2arccos1/3) ni hisoblang.

A) 2/9

B) 4√4/9

C) 4√2/9

D) 2/3

36 / 40

36. Quydagi shaklning to’la sirtini ifadolovchi formulani tuzing?

A) 2x+3b+4d

B) 2x(b+d)+2bd

C) 2x(b+d)

D) 2bdx+2bd

37 / 40

37. k va l ning qanday qiymatlarida y=k/x giperbola va y=kx+l to’g’ri chiziq M( -1;1) nuqtalardan o’tadi.

A) -1;-2

B) -1; 0

C) 1;0

D) -1; 2

38 / 40

38. sin²α+ sin²β= 1 tenglamada 0<α<π/2 va 0<β<π/2 bo’lsa, α²+π²/2+β²+2αβ ni hisoblang.

A) 3π²/4

B) α²

C) π²/4

D) 2π²

39 / 40

39. y=arcsin(-x-1) funksiyani aniqlanish sohasini toping.

A) -2≤x≤2

B) 0≤x≤2

C) 1≤x≤2

D) -2≤x≤0

40 / 40

40. Agar tg(x+y)=3 va tg(x-y)=2 bo’lsa tg2x+5 ning yarmini toping

A) 5

B) 2

C) -1

D) 1

Matematika attestatsiya

Matematika attestatsiya №12

Aprel 8, 2022Aprel 8, 2022 da chop etilgan InfoMaster tomonidan Matematika attestatsiya №12 ga 3 fikr bildirilgan

OMAD YOR BO'LSIN!

Matematika fanidan attestatsiya savollari №12

28.03.2022 da Toshkentda tushgan savollar

DIQQAT! Endi siz o'z bilmingizni sinab ko'rish bilan birga sertifikatga ham ega bo'lishingiz mumkin.

Sertifikat olish uchun barcha ma'lumotlarni to'g'ri kiriting!

e-mail manzilini to'g'ri kriting, barcha ma'lumotlar sizga yuboriladi.
Testda 76% va undan yuqori natija oling va sertifikatni yuklab oling.

1 / 40

5^-x≤ 0,04 x ning eng kichik butun qiymatini toping.

A) 3

B) 0

C) -1

D) 2

2 / 40

Hisoblang.

A) 2

B) 1

C) 4

D) 3

3 / 40

Tenglama ildizlari yig'indisini toping.

A) 4

B) -1

C) 2

D) 0

4 / 40

Hisoblang.

A) 1

B) 6

C) 2

D) 3

5 / 40

Hisoblang.

A) 4

B) 2

C) 1

D) 0

6 / 40

Agar a,b>0 sonlari uchun f(a·b) = f(a) + f(b) tengligi, p – tub sonlari uchun esa f(p)=p tengligi
qanoatlantirilsa, u holda f(25/11) ning qiymatini toping.

A) 11

B) 1

C) 21

D) -1

7 / 40

y = x²+1-|sinx| funksiya grafigi OX o'qidan pastda yotadimi?

A) Yotmaydi

B) Yotadi

8 / 40

(tgx+ctgx)⁴ yoyilmaning ozod hadini toping.

A) 3

B) 5

C) 4

D) 6

9 / 40

Tenglamani yeching:

A) 6

B) 2

C) 5,5

D) 2,5

10 / 40

Hisoblang. cos²10° + cos²30° + cos²80°

A) 7/4

B) 7/3

C) 3/7

D) 0

11 / 40

Hisoblang.

A) 2021

B) 1

C) 2019

D) 2020

12 / 40

To'g'ri burchakli uchburchakning yuzi 96 ga, perimetri esa 48 ga teng bo'lsa, gipatenuza uzunligini toping.

A) 23

B) 18

C) 20

D) 21

13 / 40

(2; 3; -5) nuqtaning OX o'qiga nisbatan simmetrik nuqtasini toping.

A) (2; -3; -5)

B) (2; 3; -5)

C) (2; -3; 5)

D) (-2; 3; 5)

14 / 40

Agar bo'lsa f(x)=?

A) 2x²-1

B) x²-1

C) x²-2

D) x²+2

15 / 40

Agar cos4x = acos⁴x+bcos2²x+1 bo'lsa, a+b=?

A) 0

B) 2

C) 1

D) -1

16 / 40

(tgx-2ctgx)⁴ yoyilmaning ozod hadini toping.

A) 25

B) 6

C) 24

D) 58

17 / 40

Hisoblang.

A) 24-3b

B) 14-2b

C) 24+3b

D) 26-3b

18 / 40

Noaniq integralni toping. ∫(sin²x+cos²x)dx

A) 2x+c

B) x+c

C) 4x+c

D) x/2+c

19 / 40

Agar bo'lsa, ni toping.

A) 0

B) 5,2

C) 2,5

D) 3

20 / 40

Hisoblang.

A) 9/13

B) 7/11

C) 9/11

D) 0

21 / 40

Chizmada nechta uchburchak tasvirlangan?

A) 50

B) 52

C) 48

D) 54

22 / 40

ABCD parallelogramm va S_KBCE= 18 bo'lsa, S_ABCD=?

A) 62

B) 56

C) 54

D) 48

23 / 40

Tenglamani yeching.

A) 4

B) 2

C) 1

D) 3

24 / 40

Noaniq integralni toping. ∫(sin²x+cos²x)dx

A) 4x+c

B) c

C) x+c

D) 2x+c

25 / 40

y=xlnx funksiyani hosilasini toping.

A) 1

B) lnx/2+1

C) lnx+1

D) 2lnx-1

26 / 40

Uchburchak tamonlari 10, 24 va 26 ga teng bo'lsa, katta burchagi necha gradus?

A) 80°

B) 60°

C) 75°

D) 90°

27 / 40

a=1^0,(6), b=8^0,(3) , c=2^0,(9) bo'lsa, (a+b)^c=?

A) 25

B) 9

C) 16

D) 0

28 / 40

Hisoblang.

A) 0

B) 2

C) -1

D) 1

29 / 40

Qaysi javobda tengsizlik ishorasi to’gri ko’rsatilgan:

A) 4

B) 1

C) 3

D) 2

30 / 40

f(x)+(x-2)·g(x)=x²+5, f(3)=10 bo'lsa, g^-1=(4) ni toping. Bunda g^-1(x) g(x) ga teskari funksiya.

A) 5

B) 4

C) 3

D) 6

31 / 40

x⁶ -10x⁵ + ax⁴ + bx³ + cx² + dx +16 ko‘phadning barcha ildizlari natural sonlardan iborat (ba’zi ildizlar takrorlanuvchi ham bo‘lishi mumkin). U holda b ning qiymati nechaga teng?

A) -80

B) -64

C) -88

D) -41

32 / 40

Tamonlarini ayirmasi 14 bo'lgan parallelogramning o'rmas burchagidan katta diagonaliga tushgan balandlik uni 12 va 30 ga teng kesmalarga ajratadi. Tamonlar uzunligini toping.

A) 36 va 18

B) 34 va 20

C) 32 va 22

D) 30 va 24

33 / 40

Tengsizlikni yeching: 3 · 9^x–10 · 21^x+ 7 · 49 ^x ≤ 0

A) [-1;1]

B) [-1;0]

C) [-1;0)

D) (-1;3]

34 / 40

Tenglamaning [0;π] kesmadagi ildizlari soni 3 tadan ko'pmi?

A) Ha

B) Yo'q

35 / 40

Agar va ular orasidagi burchak 120° bo'lsa, ni toping.

A) 4√5

B) √7

C) 2√7

D) 3√7

36 / 40

Ayirmasi d ga teng bo'lgan arifmetik progrssiya uchun ni toping.

A) 2

B) 1

C) 1/2

D) 2/3

37 / 40

Hisoblang

A) 9

B) 36

C) 6

D) 12

38 / 40

Tengsizlikni yeching.

A) [-7;3 u [-1;∞)

B) [-7;-3] u [-1;∞)

C) [-7;-3) u [-1;∞)

D) [-7;-5) u [-1;∞)

39 / 40

Quyidagi murakkab sonlarni hosil qilishda, qaysi birida eng ko‘p tub sonlar qatnashgan?

A) 224

B) 3773

C) 405

D) 945

40 / 40

Hisoblang.

A) 2/3

B) 5/3

C) 3/2

D) 3/5

Baholash mezoni

- 75 foiz va undan yuqori ko’rsatgichga ega bo’lsa - “Attestatsiyadan o’tdi, oliy malaka toifasi (bosh o’qituvchi lavozimi) saqlansin”;

- 75 foizdan past ko’rsatgichga ega bo’lsa - “Attestatsiyadan o’tmadi, birinchi malaka toifasi (yetakchi o’qituvchi lavozimi)ga tushirilsin”;

- 75 foiz va undan yuqori ko’rsatgichga ega bo’lsa - “Attestatsiyadan o’tdi, oliy malaka toifasi (bosh o’qituvchi lavozimi) berilsin”;

- 74 foizdan 65 foizgacha ko’rsatgichga ega bo’lsa - “Attestatsiyadan o’tdi, birinchi malaka toifasi (yetakchi o’qituvchi lavozimi) saqlansin”;

- 65 foizdan kam ko’rsatgichga ega bo’lsa - “Attestatsiyadan o’tmadi, ikkinchi malaka toifasi (katta o’qituvchi lavozimi)ga tushirilsin”

- 64 foizdan 60 foizgacha ko’rsatgichga ega bo’lsa - “Attestatsiyadan o’tdi, ikkinchi malaka toifasi (katta o’qituvchi lavozimi) saqlansin”;

- 60 foizdan kam ko’rsatgichga ega bo’lsa - “Attestatsiyadan o’tmadi, mutaxassis (oliy yoki o’rta maxsus, kasb-hunar ma'lumotli o’qituvchi) lavozimiga tushirilsin”

Matematika attestatsiya

Matematika attestatsiya №11

Mart 23, 2022Mart 23, 2022 da chop etilgan InfoMaster tomonidan Matematika attestatsiya №11 ga fikr bildirilmagan.

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Matematika fanidan attestatsiya savollari №11

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Testda 76% va undan yuqori natija oling va sertifikatni yuklab oling.

1 / 40

P(x)=x²+3ax+c ko‘phadi x + a ga qoldiqsiz bo‘linsa, P( x) ni x - a ga bo‘lganda qoladigan qoldiqni aniqlang.

A) a²

B) 0

C) 6a²

D) 2a²

2 / 40

Teng yonli trapetsiyaning diagionali o‘rta chizig‘ini 1 va 5 ga teng kesmalarga ajratadi. Trapetsiyaning yuzi 48 ga teng bo‘lsa, yon tomonini toping.

A) 5

B) 6

C) 4√5

D) 3√2

3 / 40

f(x) va g(x) funksiyalar f(x)+(x-2)·g(x)=x²+5 bog’lanishda va f(3)=10 bo’lsa, g^-1 (4) ning qiymatini toping.(g^-1 (x)-g(x) ga teskari funksiya)

A) 3

B) 6

C) 4

D) 2

4 / 40

Quyidagi murakkab sonlarni hosil qilishda, qaysi birida eng ko‘p tub sonlar qatnashgan?

A) 945

B) 3773

C) 405

D) 224

5 / 40

Agar f(x)=x^sin2x bo'lsa, f'(π/4) toping.

A) 0

B) π/4

C) π/2

D) 1

6 / 40

Tengsizlikni yeching:

A) x∈[0;4), x∈R

B) x∈(-∞;0) ∪[4;∞), x∈R

C) x∈ [4;∞), x∈N

D) x∈ [4;∞), x∈R

7 / 40

bo‘lsa, f ''(1) ning qiymatini toping.

A) -24

B) 12

C) -12

D) 0

8 / 40

Soddalashtiring:

A) -2√a

B) -2√b

C) 2√a-2√b

D) 2√b-2√a

9 / 40

Quyidagi tenglikdan a ni toping.

A) 1/64

B) 1/16

C) 1/4

D) 1/48

10 / 40

Agar A=x³+x²-2x, B=x⁴-x va C=x⁴+2x³-3x² bo'lsa, EKUB( A; B;C) ni toping.

A) x(x-1)

B) x-2

C) x+3

D) x

11 / 40

Diagonallar soni tomonlar sonidan 3,5 marta ko‘p bo‘lgan muntazam ko‘pburchakning eng katta va eng kichik diagonallar orasidagi burchakni toping.

A) 54°

B) 48°

C) 36°

D) 72°

12 / 40

(0!+1!+ 2022!)¹²⁵ sonning birlar xonasida qaysi raqam turadi?

A) 4

B) 2

C) 6

D) 3

13 / 40

Hisoblang.

A) 0

B) -2

C) 2

D) 1

14 / 40

1+sin 2x = 7(sin x + cos x) tenglamani yeching.

A) 0

B) Ø

C) -π/4+πk, k∈Z

D) π/4+πk, k∈Z

15 / 40

Chizmada ABC to‘g‘ri burchakli uchburchak tasvirlangan. Bunga ko‘ra x ni toping.

A) 4√3

B) 4

C) 3√3

D) 3

16 / 40

Soddalashtiring

A) -x(x+y)/x-y

B) (x-y)/(x+y)

C) x(x-y)/x+y

D) -x(x-y)/x+y

17 / 40

Piramidaning asosi tomoni 4√3 va o‘tkir burchagi 45° ga teng bo’lgan rombdan iborat. Ushbu piramidaga ichki chizilgan konusning yasovchisi asos tekisligi bilan 60° li burchak tashkil etadi. Konusning hajmini toping.

A) 6√3π

B) 3π

C) 6√2π

D) 6π

18 / 40

Quyidagi keltirilgan ko‘paytirish amalida qatnashgan harflar turli qiymatlarga ega bo‘lsa, A+ B+C = ?

A) 12

B) 10

C) 11

D) 13

19 / 40

ABCD trapetsiyaning AC diagonali CD yon tomonga perpendikulyar. Agar ∠D=69° va AB = BC bo‘lsa, B burchakni toping.

A) 135°

B) 142°

C) 132°

D) 138°

20 / 40

m/n=p-7=7+5/p bo'lsa, m²/n² ni toping.

A) 70

B) 63

C) 56

D) 54

21 / 40

sonning teskarisini toping.

A) -9

B) 2/9

C) 9

D) 1/9

22 / 40

1:(2:3) son 1:2:3 sonidan qanchaga katta?

A) 6

B) 3

C) 4/3

D) 9

23 / 40

Standart shaklda yozing 0,000000000000013

1,3·10^-12
1,3·10^-13
1,3·10^-14
1,3·10^-15

A) 3

B) 1

C) 4

D) 2

24 / 40

Agar tgα = 7 bo‘lsa, ifodaning qiymatini toping.

A) 0,45

B) 0,47

C) 0,49

D) 0,5

25 / 40

Tenglamani yeching:

A) Ø

B) -10

C) 10

D) x∈R

26 / 40

Tengsizlikni yeching.

A) (-3;0)

B) (-3;3)

C) [-3;3]

D) (0;3)

27 / 40

360 ning juft va tub bo‘luvchilarining yig‘indisini toping.

A) 960

B) 1112

C) 1102

D) 1092

28 / 40

0, 1, 2, 3, 4, 5 raqamlaridan nechta 3 xonali tuzish mumkin?

A) 100

B) 200

C) 180

D) 125

29 / 40

x²-20, x+1 va -x-6 manfiy sonlar arifmetik progressiyaning ketma-ket hadlari bo‘lsa, x ni toping.

A) 6

B) 7

C) -4

D) -7

30 / 40

a<0 ifodani soddalashtiring.

A) -2

B) 0

C) -1

D) -3

31 / 40

cosx=0,2x tenglama nechta yechimga ega?

A) 4

B) 1

C) 3

D) 2

32 / 40

θ ratsional son, ω va φ esa irratsional sonlar bo‘lsa, quyidagilardan qaysi biri ratsional son bo‘lishi mumkin? θ ≠ 0

A) 1, 2, 5

B) 1, 2, 3

C) 2 5, 6

D) 3, 4, 6

33 / 40

(a, b∈ N) va 3a – 4b = 5 bo‘lsa, 3a+4b ning eng kichik qiymatini toping.

A) 12

B) 9

C) 13

D) 37

34 / 40

|x²-2x+2|+|x²-4|>|x²-x-1 | tengsizlikning butun yechimlari nechta?

A) 4

B) 5

C) 3

D) 2

35 / 40

To‘g‘ri to‘rtburchakning simmetriya markazidan bir uchigacha bo‘lgan masofa 5 sm ga, tomonlar ayirmasi 2 sm ga teng bo‘lsa, uning perimetrini toping.

A) 32

B) 48

C) 28

D) 30

36 / 40

ABCD to‘g‘ri to‘rtburchak bo‘lib, DM kesma to‘rtburchak tekisligiga perpendikulyar. Agar DM kesmaning uzunligi butun son bo‘lib, MA, MC va MB kesma uzunliklari mos ravsihda ketma-ket kelgan toq sonlar bo‘lsa, u holda MABCD piramida hajmini toping.

A) 66

B) 60

C) 28√5

D) 24√5

37 / 40

Tenglamaning haqiqiy ildizlari ko‘paytmasini toping: x⁴+3x³+5x²+21x-14=0

A) 14

B) -7

C) -2

D) 2

38 / 40

Tenglama ildizining natural bo‘luvchilari sonini toping.

A) 6

B) 5

C) 4

D) 2

39 / 40

Tengsizlikni yeching.

A) (0;1)

B) (-0,5;0)

C) (0;0,5)

D) (-1;0)

40 / 40

a ning qanday qiymatida 3a + ax + (-x² )= 0 tenglama o‘zaro teng ildizlarga ega bo‘ladi?

A) a=0; a=-12

B) a=0

C) a=0; a=12

D) a=12

Baholash mezoni

- 75 foiz va undan yuqori ko’rsatgichga ega bo’lsa - “Attestatsiyadan o’tdi, oliy malaka toifasi (bosh o’qituvchi lavozimi) saqlansin”;

- 75 foizdan past ko’rsatgichga ega bo’lsa - “Attestatsiyadan o’tmadi, birinchi malaka toifasi (yetakchi o’qituvchi lavozimi)ga tushirilsin”;

- 75 foiz va undan yuqori ko’rsatgichga ega bo’lsa - “Attestatsiyadan o’tdi, oliy malaka toifasi (bosh o’qituvchi lavozimi) berilsin”;

- 74 foizdan 65 foizgacha ko’rsatgichga ega bo’lsa - “Attestatsiyadan o’tdi, birinchi malaka toifasi (yetakchi o’qituvchi lavozimi) saqlansin”;

- 65 foizdan kam ko’rsatgichga ega bo’lsa - “Attestatsiyadan o’tmadi, ikkinchi malaka toifasi (katta o’qituvchi lavozimi)ga tushirilsin”

- 64 foizdan 60 foizgacha ko’rsatgichga ega bo’lsa - “Attestatsiyadan o’tdi, ikkinchi malaka toifasi (katta o’qituvchi lavozimi) saqlansin”;

- 60 foizdan kam ko’rsatgichga ega bo’lsa - “Attestatsiyadan o’tmadi, mutaxassis (oliy yoki o’rta maxsus, kasb-hunar ma'lumotli o’qituvchi) lavozimiga tushirilsin”

Matematika attestatsiya