1. 1dan 100 gacha bo`lgan sonlar orasida 3ga ham, 5ga ham bo`linmaydiganlari nechta?

Matеmatika №1

1. 1dan 100 gacha bo`lgan sonlar orasida 3ga ham, 5ga ham bo`linmaydiganlari nechta?

a) 53 b) 52 c) 51 d) 50

2. 15 va 25 sonlari Ekuk ining natural bo`luvchilari nechta?

a) 6 b) 5 c) 4 d) 7

3. Agar kamayuvchi 24 ta va ayriluvchi 36 ta kamaytirilsa, ayirma qanday o`zgaradi?

a) 12 ta ortadi b) 12 ta kamayadi
c) o`zgarmaydi. d) 6 ta ortadi

4. Rombning dioganallari 6 va 8 sm uning tomonlarini toping.

a) 5 b) 6 c) d)

5. Otasi 40, o`g`li 16 yoshda. Necha yildan keyin otasi o`g`lidan 2 marta katta bo`ladi?

a) 8 b) 7 c) 6 d) 5

6. Matematikadan o’tkazilgan imtihonda o’quvchilarning 12% i birorta ham masalani yecha olmadi. 345 ta o’quvchi masalalarni yechishda xatolikka yo’l qo’ydi. Agar barcha masalalarni to’liq yechgan o’quvchilarning masalalarni umuman yecha olmagan o’quvchilarga nisbati 7:3 kabi bo’lsa, qancha o’quvchi imtihon topshirgan?

a) 575 b) 420 c) 760 d) 770

7. Hisoblang:1-2+3–4+5–6 +…+ 99–100

a) -50 b) – 5050 c) 50 d) 5050

8. Ishchi bir kunda reja bo`yicha 40 ta detal tayyorlashi kerak edi. U esa bir kunda 38 ta detal tayyorladi. Ishchi rejasini necha prosentga bajargan?

a) 95% b) 90% c) 92% d) 94%

9. To`g`ri to`rtburchakning perimetri 30m ga, yuzi esa 56m<sup>2</sup> ga teng. Uning bo`yi enidan necha metr uzun?

a) 1 m b) 2 m c) 2,5 m d) 1,5 m

10. Ikki sonning yig`indisi 18ga, ularning ko`paytmasi esa 65ga teng shu sonlarni toping.

a) 15 va 3 b) 16 va 2 c) 14 va 4 d) 13 va 5
11. Hisoblang.
a) 2 b) 3 c) 4 d) 1

12. Arifmetik progressiyaning birinchi va beshinchi hadlari yig`indisi ga, uchinchi va to`rtinchi hadlarining ko`paytmasi esa ga teng. Shu progressiyaning dastlabki o`n yettita hadining yig`indisini toping.

a) b) c) d)

13. Tenglamani yeching.

a) 0 b) 1 c) -2 d) 3

14. Tenglamalar sistemasini yeching.

a) (-1,2), (2, -1) b) 1, 2 c) 3, 4 d) 2, 3

15. To`g`ri burchakli uchburchakka ichki chizilgan aylananing urunish nuqtasi gepotenuzani 5sm va 12sm uzunlikdagi kesmalarga bo`ladi. Uchburchakning katetlarini toping.

a) 8, 15 b) 3, 4 c) 2, 3 d) 7, 8

16. To`g`ri burchakli uchburchak gepatenuzasining medyanasi m ga teng va u to`g`ri burchakni 1 : 2 nisbatda bo`ladi. Uchburchakning tomonlarini toping.

a) b)
c) 5m, m 4m d) 3m, m 4m

17. Proporsiyaning noma’lum hadini toping.

a) b) c) d)
18. Tengsizlikni yeching.
a) b) c) (5; 8) d) (2; 5)
Matеmatika №2

1. Hisoblang. Cos 260^{0 .} sin 130^{0 .} cos 160⁰

a) 0,125 b) 0,008 c) 0,08 d) 0,09

2. Funksiyaning aniqlanish sohasini toping.

a) b) (-3; 12)
c) (2; 7) d) (3; 10)

3. 60⁰ li o`tkir burchakka bir-biriga tashqaridan urinuvchi ikkita aylana ichki chizilgan. Kichik aylananing radiusi r ga teng. Katta aylananing radiusini toping.

a) 3r b) 2r c) 4r d) 5r

4. Quyidagi tengsizliklardan qaysilari x ning barcha qiymatlarida o’rinli?

1. 
   (x+6)(x+3)>(x+5)(x+4)
   
2. 
   (x–3)(x–4)>(x–2)(x–5)
   
3. 
   9x²+16>24x
   
4. 
   (x–5)(x–6)>(x–3)(x–8)
   

a) 2; 4 b) 1;3 c) 1; 4 d) 2; 3

5. 2cos6x+ =0 tenglamani yeching

a)
b)
c)
d)

6. Ikkita buyumning birgalikdagi bahosi 62300 so’m turadi. Agar birinchi buyumning bahosi 15%ga kamaytirilsa, ikkinchisiniki esa 10% orttirilsa, ular birgalikda 59630 so’m turadi. Ikkinchi buyumning dastlabki bahosini toping.

a) 26700 b) 35500 c) 31905 d) 21360
7. Agar x>y, bo’lsa, quyidagilardan qaysi biri doimo o’rinli bo’ladi?
a) b) c)
d)

8. ni soddalashtiring.

a) log₂7 b) 2 c) 1 d) - log₂7

9. , - va vektorlar orasidagi burchak, ctg² ni hisoblang.

a) b) c) d)

10. cos²x- cosx+1 0 tengsizlik ning qanday qiymatlarida o’rinli?

a)
b)
c)
d)

11. m ning qanday qiymatlarida x(x+3a)(x+b)(x+3a+b)+ ifoda to’la kvadrat bo’ladi?

a) b) c) d) To’g’ri javob keltirilmagan

12. x²-12x-23 parabola uchining koordinatalari ko’paytmasini toping.

a) -354
b) 53
c) -53
d) 354

13. Ildizlari x²-14x+48=0 tenglamaning ildizlariga teskari bo’lgan kvadrat tenglama tuzing.

a) 48x²-14x+1=0
b) 48x²+14x-1=0
c) 48x²+14x+1=0
d) 48x²-14x-1=0
14. ni soddalashtiring.
a) b) c) 0 d)

15. b va c ning qanday qiymatlarida M(7;-15) nuqta y=x²+bx+c parabolaning uchi bo’ladi.

a) b=-14; c=34
b) b=34; c=-14
c) b=34; c=14
d) b=14; c=34

16. ni hisoblang.

a) b) 0 c) 1 d)

17. Juft funksiyalarni toping. , , , ,

a) b) c) d)

18. Agar va bo’lsa, ning qiymatini toping.

a) b) c) d)

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