Ni 8 ga bo’lgandagi qoldiqni toping a 1 b 6 c 7 d 3

1. 77¹⁵ ni 8 ga bo’lgandagi qoldiqni toping

A) 1 B) 6 C)7 D)3

2. = tenglamaning butun yechimlari nechta?

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

3. 380 ni 45% ga orttirib, keyin hosil bo’lgan sonning 10% ini toping

A) 55,2 B)54,1 C) 55,1 D) 56,1

4. To’g’ri to’rburchakning yuzi 72 ga, tomonlari nisbati 2:1 ga teng. Uning perimetrini toping.

A) 18 B) 24 C) 32 D) 36

5. x va y haqiqiy sonlar uchun y² +2x(x+y)-8(x-2)=0 munosabat bajarilsa, ning qiymatini toping

A) -14 B) -8 C)-12 D) -15

6. Arifmetik progressiyada S₂₀-S₁₂=380, a₁=1 bo’lsa, d ni toping.

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

7. Masshtabi 1:3000000 bo’lgan xaritada ikki shahar orasidagi masofa 24 sm uzunlikdagi kesma 1:5000000 masshtabli xaritada necha dm uzunlikka teng bo’ladi?

A) 10,8 B) 14,4 C) 16 D) 12

8. Birinchi quvur hovuzni 6 kunda to’ldiradi. Ikkinchi quvur hovuzni 7 kunda bo’shatadi. Ikkala quvur bir vaqtda ochib qo’yilganda hovuz necha kunda to’ladi?

A)6 B) 7 C) 42 D) 13

9. sinxcosx=-0,345 va 1,6

A) 1,3 B) -1.3 C) 1,3 D) 0,69

10. ifodaning x=5bo’lgandagi qiymatini hisblang.

A) sin10 B) sin20 C) sin5 D) sin15

11. =1 tenglama nechta yechimga ega?

A) 6 B) 5 C)3 D) 4

12. x⁴=68-48 bo’lsa, x musbat sonni toping.

A) 6-4 B) 3-2 C) 2- D) -1

13.Oxirgi raqami 1 bo’lgan va [50;350] kesmaga tegishli bo’lgan barcha natural sonlar yig’indisini toping.

A) 5539 B)5880 C) 4877 D) 5208

14. sin56=a va cos59=b bo’lsa, cos68 + sin28 ni a va b orqali ifodalang .

A) 2(b²-a²) B) a²-b² C) b²-a² D) 2(a²-b² )

15. y=-3x+7 funksiyaning y=1 to’g’ri chiziqqa nisbatan simmetrigini toping.

A) y=3x-5 B) y=-3x-7 C) y=-3x+9 D) y=3x+1

16. Oltita sonning yig’indisi 70 ga teng. Ulardan birini 2 marta oshirib, qolganlarini o’zgartirmagan holda yig’indisi 78 ga bo’lsa, o’zgartirilmagan beshta sonning yig’imdisini toping.

A) 66 B) 63 C) 67 D) 62

17. =0 tenglamaning haqiqiy ildizlari ko’paytmasini toping.

A) 6 B) 16 C) 8 D) -8

18. Sonlarni o’sish tartibida joylashtiring:

a=sin1 b=cos22 c=sin61

A) c,b,a B) a,c,b C) b,c,a D)b,a,c

19. ABC uchburchakda AB=BC , AM-mediana. Agar AB + MB=9 va MC + AC=7 bo’lsa, uning asosini toping.

A) 6 B) 4 C) 8 D) 2

20. Agar ikkita teng tomonli ucgburchakning tomonlari uchun a²-2ab-3b²=0 monosabat o’rinli bo’lsa, katta uchburchak yuzini kichik uchburchak yuziga nisbatini toping.

A) 9 B)4 C)3 D) 2

21. Ikki ishchi belgilangan ishni a soatda bajaradi. Birinchi ishchi bu ishni b soatda bajaradi. Ikkinchi ishchi bir o’zi ishlasa, bu ishni necha soatda bajaradi?

A) B) C) D)

22. tengsizlikning butun yechimlari yig’indisini toping.

A) 3 B) -1 C) 1 D) -4

23.O’lchamlari 64 va 25 ga teng bo’lgan to’g’ri to’rtburchakka tengdosh kvadratning perimetrini toping.

A) 160 B) 164 C) 120 D) 188

24. Sutkaning qolgan qismi o’tkan qismining 60% iga teng bo’lsa, hozir soat necha bo’ldi?

A) 15 B) 12 C) 9 D) 6

25. sin6x+sin2x=sin4x tenglamani yeching.

A) B) +2 C) +2 D) ; +
Vaqt : 90minut

Tuzuvchi: Hazratqulov Sardor