Matematika o’qituvchilari malakasini oshirish kursi tinglovchilarining oraliq va yakuniy nazorat sinovlarini o’tkazish uchun “Mutaxassislik fanlari” blokiga kiruvchi o’quv modullari bo`yicha tavsiya etiladigan test savollari

Funksiyaning x=0 nuqtadagi hosilasini toping. f(x)=5x⁴+3x³-15x

*a)-15
b)14
c)20
d)15

665. 
     Funksiyaning hosilasini toping: f(x)=ln(3x-4)
     

*a)
b)3x-4
c)
d)

666. 
     Funksiyaning hosilasini toping: f(x)=3^x+x²
     

*a) 3^xln3+2x
b) +2x
c )3^xln3
d )3^x+2x

667. 
     Funksiyaning hosilasini toping: u=cos2x
     

*a) -2sin2x
b )-sin2x
c )2sin2x
d)2sinx

668. 
     Jism to`g`ri chiziq bo`ylab x(t)= 3t<sup>2</sup>+2t+1 qonun bo`yicha xarakatlanmoqda. Jismning t=4 sek. vaqt momentdagi xarakat tezligini toping.
     

*a) 26
b)28
c)12
d)14

669. 
     u=x²-7x+10 parabo`laga x=4 nuqtada o`tkazilgan urinma tenglamasini tuzing.
     

*a)u=x-6
b)u=-x-6
c)u=x+6
d)u=2x-6

670. 
     u=3x²-2x+2 funksiyaning kamayish oraligini toping.
     

*a) (-∞; )
b)( ;∞)
c)[- ; }
d)(-∞;∞)

671. 
     u=x⁴-4x+3 funksiyaning o`sish oraligini toping.
     

*a) (1;∞)
b) [0;1]
c) [-1;1]
d)(-∞;1]

672. 
     u=-x²+5x-6 funksiyaning ekstremumlarini toping
     

*a) max:(2,5;0,25)
b) max(2;24,75)
c) max:(2;2,25)
d) min:(2,5;0,25)

673. 
     f(x)=x³-2x²+8x-2 funksiyaning [-1;1]oraliqdagi eng katta qiymatini toping
     

*a) 5
b )13
c)3
d)4

674. 
     Yigindisi 82ga teng , ko`paytmasi eng katta bo`ladigan ikkita sonni toping.
     

*a) 41 va 41
b )40 va 40
c )42 va 42
d)40 va 42

675. 
     To`gri to`rtburchakning yuzi 81 sm². Uning perimetri eng kichik bo`ladigan qiymatini toping.
     

*a) 36 sm
b)18 sm
c)7 sm
d)54sm

676. 
     Funksiyaning boshlang`ichini toping. f(x)= 2sinx+3cosx
     

*a) -2cosx+3sinx+C
b) cosx+sinx+C
c)2cosx-3sinx+C
d)-2cosx-3sinx+S

677. 
     4(x²-x+3)dx integralni toping.
     

*a)
b)
c)4x³-2x²+3x+S
d)4x³-4x²+3x+S

678. 
     u=x²+1, u=0, x=-1, x=2. Chiziqlar bilan chegarakangan figuraning yuzini toping.
     

*a) 6
b)4
c)5
d)9

679. 
     Integralni hisoblang:
     

*a) 3
b)2
c)1
d)-3

680. 
     2,3-3,1 ayirmaga teskari bo’lgan son:
     

*a). –1,25
b). 0,8
c). 1,25
d). –0,2

681. 
     Perimetri 50 sm bo`lgan to`g`ri to`rtburchaklar ichida uyzi eng kattasini toping.
     

*a)156,25
b)156
c)160
d)150

682. 
     Quyidagi tekis burchaklarning qaysilaridan uch yoqli burchak yasash mumkun.
     

*a)10^o,170^o ,90^o;
b)130^o, 85^o , 160^o;
c)160^o,130^o , 80^o;
d)150^o,120^o, , 90^o.

683. 
     To`g`ri burchakli parallelepipedning uch o`lchoviga ko`ra diago`nalini toping. 12;16;21.
     

*a)29
b)30
c)25
d)15

684. 
     Asosining tomonlari 29,25,va 6 ga,yon qirrasi asosining katta balahdligiga teng bo`lgan uchburchakli to`g`ri prizmaning hajmini toping.
     

*a)1200
b)1300
c)1400
d)1250

685. 
     Muntazam to`rtburchakli piramida asosinig tomoni 6, balandligi 4 ga teng bo`lsa, hajmini toping.
     

*a)48
b)86
c)106
d)76

686. 
     Silindr o`q kesimi kvadrat bo`lib diago`nali 20 sm. Silindr asosinig radiusini toping.
     

*a)
b )8
c) 10sm
d)10

687. 
     Konus balandligi 4 sm,asosi radiusi 3sm.To`la sirtini toping.
     

*a)24
b)20
c)15
d)14

688. 
     Silindr o`q kesimining diagonali 8sm bo`lib asosi bilan 30⁰ burchak tashkil etadi.Silindr hajmini toping.
     

*a)48sm³
b)24sm³
c)36sm³
d)40sm³

689. 
     Funksiyaning x=0 nuqtadagi hosilasini toping. g(x)=x⁴-3x³+2x²
     

*a)0
b)-1
c)17
d)-9

690. 
     Funksiyaning hosilasini toping: f(x)=ln(2x+1)
     

*a)
b)2x+1
c)
d)

691. 
     Funksiyaning hosilasini toping: f(x)=2^x+x³
     

*a)2^xln2+3x²
b)
c )2^xln3
d)2^x+3x²

692. 
     Jism to`g`ri chiziq bo`ylab x(t)= 2t<sup>2</sup>-6t+5 qonun bo`yicha xarakatlanmoqda. Jismning t=2 sek. vaqt momentdagi xarakat tezligini toping.
     

*a) 2
b)14
c)12
d)4

693. 
     u=3x²-x parabo`laga x=-1 nuqtada o`tkazilgan urinma tenglamasini tuzing.
     

*a)u=-7x-3
b)u=7x+3
c)u=7x-3
d)u=7x+11

694. 
     u=4x² +2x-1 funksiyaning kamayish oraligini toping.
     

*a)(-∞;- )
b)[- ;∞),
c)[- ; }
d)(-∞;∞)

695. 
     u=x³-6x²+4 funksiyaning o`sish oraligini toping.
     

*a)(-∞;0)va(4;∞)
b)[4;∞)
c)(-∞;0)
d)(-∞;∞)

696. 
     u=-x²-x+6 funksiyaning ekstremumlarini toping
     

*a)max:(-0,5;6,25)
b)min:(-0,5; -6,25)
c)max:(0,5;6,25)
d)min:(-0,5;-6,5)

697. 
     f(x)=x³-2x²-4x+2 funksiyaning [-1;1]oraliqdagi eng katta qiymatini toping
     

*a) 3
b)3 ;
c) 4;
d )3

698. 
     Ayirmasi 20ga teng , ko`paytmasi eng kichik bo`ladigan ikkita sonni toping.
     

*a) 10 va -10
b) 10 va 10
c)) 11 va 9
d) 13 va 7

699. 
     To`gri to`rtburchakning yuzi 25 sm². Uning perimetri eng kichik bo`ladigan qiymatini toping.
     

*a)20sm
b )12,5sm
c) 40sm
d)18sm

700. 
     Funksiyaning boshlang`ichini toping. f(x)= 3sinx-2cosx
     

*a)-3cosx-2sinx+C
b)-3 cosx+2sinx+C
c) 3cosx+2sinx+C
d)-3cosx+sinx+S

701. 
     2(9x²-6x+1)dx integralni toping.
     

*a)6x³-6x²+2x+S
b)18x²-12x+2+S
c)18x³-12x²+2x+S
d)9x³-3x²+2x+S

702. 
     u=3x²+3, u=0, x=-2, x=0. Chiziqlar bilan chegarakangan figuraning yuzini toping.
     

*a)14
b)12
c)10
d)15

703. 
     Integralni hisoblang:
     

*a)42
b)52
c)32
d)62

704. 
     Massasi m=2 kg bo`lgan jism to`g`ri chijiq bo`ylab S(t)=2+2t²-3t (m) qonun bo`yicha harakatlanmoqda. Jismning harakat boshlangandan 3 sekundan keyingi knetik energiyasini toping.
     

*a)81
b)9
c) 82
d)18

705. 
     Perimetri 16 sm bo`lgan to’rtburchaklar ichida yuzasi eng kattasini toping.
     

*a)16
b)48
c)36
d )64

706. 
     Quyidagi tekis burchaklarning qaysilaridan to`rt yoqli burchak yasash mumkun.
     

1)40^o, 70^o,100^o va 150^o; 2)150^o,30^o,70^o va 40^o; 3)130^o,50^o,30^o va 70^o.
*a)2,3
b)2
c)3
d) 1

707. 
     To`g`riburchakli parallelepipedning uch o`lchoviga ko`ra diago`nalini toping. 8;9;12.
     

*a)17
b)30
c)25
d)20

708. 
     Asosining tomonlari15,25,va 20 ga,yon qirrasi asosining kichik balahdligiga teng bo`lgan uchburchakli to`g`ri prizmaning hajmini toping.
     

*a)1800
b)1700
c)1400
d)1600

709. 
     Muntazam to`rtburchakli piramida asosinig tomoni 10, balandligi 12 ga teng bo`lsa, to`la sirtini toping.
     

*a) 360
b) 460
c)260
d)350

710. 
     Silindr o`q kesimi kvadrat bo`lib diago`nali 36 sm. Silindr asosinig radiusini toping.
     

*a)9
b)8 sm
c) 10 sm
d)9sm

711. 
     Konus balandligi 12sm, asosi radiusi 5sm. To`la sirtini toping.
     

*a)90 sm²
b)95 sm²
c)94 sm²
d)80 sm²

712. 
     Silindr o`q kesimining diagonali 4sm bo`lib asosi bilan 60⁰ burchak tashkil etadi. Silindrning hajmini toping.
     

*a)2
b)2
c)6
d)4

713. 
     Basketbol bo’yicha uch mingta chipta 1 dan 3000 gacha raqamlangan.Raqamlari 112 bilan tugaydigan chiptalarga ega tomoshabinlar sovrinni qo’lga kiritadilar.Barcha sovrinli chiptalarning sonini toping.
     

*a)3ta
b)4ta
c)5 ta
d)6 ta

714. 
     2018-2021 yillarda O’zbekiston Respublikasi xalq ta’limi tizimini yanada takomillashtirish bo’yicha chora-tadbirlar dasturi qachon va qaysi qaror asosida tasdiqlangan ?
     

*a) 2018 yil 5-sentyabrda PQ-3931-sonli qaror asosida tasdiqlangan;
b) 2018 yil 6-sentyabrda PQ-3139-sonli qaror asosida tasdiqlangan;
c) 2018 yil 8-sentyabrda PQ-3932-sonli qaror asosida tasdiqlangan;
d) 2018 yil 4-sentyabrda PQ-3133-sonli qaror asosida tasdiqlangan;

715. 
     4 va 8-sinf o’quvchilarining matematika va tabiiy fanlar sohasidagi savodxon-ligini baholashni amalga oshiradigan xalqaro tadqiqot markazini aniqlang?
     

*a) TIMSS
b) PISA
c) PIRLS
d) TALIS

716. 
     15–16 yashar o’quvchilarning matematik savodxonligi, o’qish va tabiatshunoslik sohasidagi savodxonligini baholashni amalga oshiradigan xalqaro tadqiqot markazini aniqlang?
     

*a)PISA
b). TIMSS
c). PIRLS
d). TALIS

717. 
     Boshlang’ich maktab o’quvchilarining matnni o’qish hamda tushunish darajasi va sifatini baholashni amalga oshiradigan xalqaro tadqiqot markazini aniqlang?
     

*a). PIRLS
b). TIMSS
c). PISA
d). TALIS

718. 
     STEAM qanday yondashuv hisoblanadi ?
     

*a). Ilm-fan, texnologiya, muhandislik, san’at va matematikani birlashtiruvchi zamonaviy yondashuv hisoblanib ta’limni haqiqiy hayot bilan bog’laydi ;
b). Ilm-fan, texnologiya, muhandislik va san’atni birlashtiruvchi zamonaviy yondashuv hisoblanib ta’limni haqiqiy hayot bilan bog’laydi;
c). Ilm-fan, muhandislik, san’at va matematikani birlashtiruvchi zamonaviy yondashuv hisoblanib ta’limni haqiqiy hayot bilan bog’laydi;
d). Ilm-fan, texnologiya, san’at va matematikani birlashtiruvchi zamonaviy yondashuv hisoblanib ta’limni haqiqiy hayot bilan bog’laydi;

719.