9- sinf Matematika Olimpiada uchun

9- sinf Matematika Olimpiada uchun

1. Ifodaning qiymatini toping: 21 13 + 24 13 +45 12 + 25 44 - 89 24

A) 79 B) 126 C) 89 D) 0

2. Hisoblang: 21 17-17 18+17 15-15 14+18 13-15 13

A) 125 B) 135 C) 205 D) 180

3. Hisoblang: 45815 45818-45814 45816 A) 137446 B) 137447 C) 241584 D) 41586

4. ni hisoblang.A) B) C) D)

5. x²+ 4 x-5=0 tenglama ildizlari x₁ va x₂ bo’lsa x³₁ x³₂ ni hisoblang.

A) 124 B) - 125 C) 130 D) 5

6. Agar x+ =3 bo’lsa ning qiymatini toping?A) 27 B) 24 C) 18 D) 21

7. Hisoblang: A) 6 B) 4 C) 8 D) 5

8. Noma’lum sonning 14%i 80 ning 35% I gat eng. Noma’lum sonni toping?

A) 120 B) 168 C) 200 D) 280

9. Kasrni qisqartiring: A) B) C) - D) -

10. Go’sh qaynatilganda o’z og’irligining 40% ini yoqotadi. 6 kg pishgan go’sht olish uchun qancha go’sht qaynatish kerak? A) 10 B) 12 C) 15 D) 6

11. Tenglama ildizlari kublarining yigindisini toping: 2 x² – 5 x + 1 = 0

A) 11 B) 12 C) 12 D) 12

12. Ifodaning qiymatini toping: sin 180⁰ + sin 270⁰ –ctg 90⁰ + tg 180⁰- cos 90⁰

A) 1 B) 0 C) -1 D) -2

13. Agar sin cos > 0 bo’lsa burchak qaysi chorakka tegishli?

A) I yoki II B) I yoki III C) II yoki III D) I yoki IV

14. Teng yonli uchburchakning perimetri 10ga, yon tomoni asosidan 12 marta uzun. Uchburchakning asosini toping. A) 0,4 B) 0,8 C) 0,5 D) 0,6

15. va qo’shni burchaklar. Agar =0,8 bo’lsa va burchaklar ayirmasini toping. A) 80⁰ B) 60⁰ C) 70⁰ D) 20⁰

16. To’g’ri burchakli uchburchak katetlaridan biri 12 sm, ikkinchisi esa gipotenuzasidan 8 sm qisqa. Shu uchburchak gipotenuzasini toping. A) 25 B) 18 C) 13 D) 7

17. Uchburchakning tomonlari o’rtalarini tutashtirib perimetri 65 sm gat eng. Uchburchak hosil qilindi. Berilgan uchburchakning perimetrini toping.

A) 130 B) 260 C) 62,5 D) 195

18. ning qanday qiymatlarida x² – ( - 7) x + 9 =0 tenglama 2 ta teng manfiy ildizga ega?

A) 7 B) 1 C) 6 D) 5

19. Tenglamaning ildizlari yig’indisini toping? = 6

20.Ifodani soddalashtiring:

21. Agar a+ = 3 bo’lsa, a² + ni toping.

22. 9¹⁹⁹⁶+9¹⁹⁹⁷ yig’indi qanday raqam bilan tugaydi?

23. Teng yonli uchburchakning asosidagi burchak uning ichidagi burchakning 75% iga teng. Uchburchakning uchidagi burchagini toping.

24. Uchburchakning burchaklari 1 : 2 : 3 kabi nisbatda. Uchburchak katta tomonining kichik tomoniga nisbatini toping.

25. Agar ( 3x-1)(x-2)=0 bo’lsa 3x-1 qanday qiymatlarni qabul qilishi mumkin?