Matematika V–108

Test-2008 Variant 108 Matematika

MATEMATIKA V–108

1. 
   Xaritada ikki shahar orasidagi masofa 3,5 sm ga teng. Xaritadagi mashtab 1: 4000000 bo’lsa, shaharlar orasidagi haqiqiy masofa necha km bo’ladi?
   

A) 210 B) 140 C) 700 D) 70

2. 
   Quyidagilardan qaysi biri ga teng emas?
   

A) B) C) D)

3. 
   x²+12x+13 parabola uchining koordinatalari ko’payt- masini toping.
   

A) –138 B) 138 C) 29 D) –29

4. 
   p ning qanday qiymatlarida 7x–2p=6 tenglamaning ildizi 4 dan katta b’oladi?
   

A) 17
C) p<17 D) p<11

5. 
   Ildizlari x²-17x+52=0 tenglamaning ildizlaridan ikkita katta bo’lgan kvadrat tenglama tuzing.
   

A) x² + 21x + 90=0 B) x² –21x +90=0

C) x² – 21x – 90=0 D) x² +21x –90=0

6. 
   Quyidagi tengsizliklardan qaysilari x ning barcha qiymatlarida noto’g’ri?
   

1) (x–3)(x–4)>(x–2)(x–5)

2) 1+(3x–1)² <(1-2x)(1–4x)

3) 4x³+10> –12x

4) (x-7)(x+2)<(x+3)(x–8)

A) 2; 3 B) 1; 4 C) 1; 3 D) 2; 4

7. 
   Quyidagi keltirilgan tasdiqlardan qaysilari noto’g’ri?
   

1. 
   arifmetik progressiyaning ayirmasi uchun munosabat o’rinli;
   
2. 
   , va sonlar arifmetik progressiyaning ketma-ket keladigan hadlari bo’ladi.
   
3. 
   arifmetik progressiya dastlabki n ta hadining yig’indisi uchun formula o’rinli;
   
4. 
   cheksiz kamayuvchi geometrik progressiyaning yig’indisi ga teng;
   
5. 
   geometrik progressiyaning dastlabki n ta hadining yig’indisi formula bilan hisoblanadi;
   

A) 2; 3; 5 B) 1; 2; 4 C) 1; 2; 3 D) 1; 4; 5

8. 
   Hosilalar uchun formulalarning qaysilari to’g’ri?
   

1)

2) ;

3) ;

4) ;

5) ;

A) 1; 3; 5 B) 2; 3; 4 C) 2; 3; 5 D) 3; 4; 5

9. 
   Boshlang’ich funksiyani topish uchun quyidagi keltirilgan formulalardan qaysilari to’g’ri?
   

1) ;

2) ;

3) ;

4) ;

5)

A) 2; 4; 5 B) 3; 4; 5 C) 2; 3; 4 D) 1; 3; 5

9. 
   tengsizlikni yeching.
   

A) x<4 B) 4

9. 
   To’g’ri burchakli uchburchakning o’tkir burchagi 60⁰ ga, gipotenuzasiga tushurilgan balandligi 21 ga teng. Berilgan uchburchakning kichik katetini toping.
   

A) B) C) 42 D)

12. 
    Quyidagi tasdiqlardan qaysilari noto’g’ri?
    

1. 
   piramidaning hajmi asosining yuzi bilan balandligi ko’paytmasining uch baravariga teng;
   
2. 
   silindrning hajmi asosining yuzi bilan balandligining ko’paytmasiga teng;
   
3. 
   sharning hajmi ga teng;
   
4. 
   asosining radiusi R ga, yasovchisi l ga teng konus yon sirtining yuzi ga teng;
   
5. 
   radiusi R ga, segmentining balandligi H ga teng bo’lgan shar sektorining hajmi ga teng;
   

A) 2; 3; 5 B) 1; 3; 4 C) 2; 4; 5 D) 1; 4; 5

13. 
    13. tenglamani yeching.
    

A) B)

C) D)

14. 
    1 dan 71 gacha bo’lgan toq sonlar yig’indisi qanday raqam bilan tugaydi?
    

A)1 B)0 C)6 D)4

14. 
    Ikkita buyumning birgalikdagi bahosi 39000 so’m turadi. Agar birinchi buyumning bahosi 20%ga kamaytirilsa, ikkinchisiniki esa 15% orttirilsa, ular birgalikda 35890 so’m turadi. Birinchi buyumning dastlabki bahosini toping.
    

A) 13300 B) 25600 C) 16080 D) 30720

14.