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7-sinf Matematika olimpiada №1

InfoMaster

Aprel 29, 2022

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7-sinflar Matematika olimpiada №1

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1. Gazlamaning narxi 20 Ma’lum vaqtdan so’ng, yangi narx ham 25 ortdi. Gazlamaning narxi jami necha foiz ortdi?

A) 60 %

B) 50 %

C) 70 %

D) 55 %

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2. O’lchovlari 8 va 20 ga teng bo’lgan to’g’ri to’rt burchaklardan eng kamida nechtasini birlashtirib, kvadrat hosil qilish mumkin?

A) 15

B) 11

C) 9

D) 10

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3. Agar qo`shni burchaklardan biri ikkinchisidan 45⁰katta bo`lsa,ularni toping .

A) 111°30'; 68°30'

B) 113°;67°

C) 112°30'; 67°30'

D) 135°;45°

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4. Ko’paytuvchilarga ajrating: x⁴+x²+1

A) I

B) II

C) IV

D) III

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5. A, B va C nuqtalar bir to`g`ri chiziqda yotadi. Agar AB=14 sm, BC=16,5 sm bo`lsa, AC ni toping.

A) 3,5 sm va 29,5 sm

B) 2,5 sm va 30,5 sm

C) 30,5 sm

D) 2,5 sm

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6. Asosi BC bo`lgan teng yonli ABC uchburchakning perimetri 40 sm va teng tomonli BCD uchburchakning perimetri 45 sm ga teng. AB va BC tomonlarni toping.

A) AB =15 sm; BC =12,5 sm;

B) AB =12,5 sm; BC =15 sm;

C) AB =12 sm; BC =16 sm;

D) AB =16 sm; BC =12 sm;

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7. Qo`shni burchaklar 145⁰va 35⁰ga teng. Bu qo`shni burchaklar bissektrisalari tashkil qilgan burchakni toping.

A) 90°

B) 70°

C) 86°

D) 80°

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8. Ifodani ko`paytuvchilarga ajrating: 9b²-(a-3b)²

A) (6b-a)a

B) (6b-a)(6b+a)

C) 18b²-a²+6ab

D) a²

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9. ABC uchburchakning AD medianasi BC tomondan keyin DE= AD bo`lgan kesmaga davom ettirilib, E nuqta B nuqta bilan tutashtirildi.Agar ∠ACD=45⁰, ∠ABD=35⁰ bo`lsa, ∠ABE ni toping.

A) 80°

B) 10°

C) 75°

D) 70°

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10. Ifodani soddalashtiring: 125a³-225a² b+135ab²-27b³

A) (5a-3b)³

B) (3a-5b)³

C) (3a+5b)³

D) (5a)³-(3b)³

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11. Uchburchakning ikkita uchidagi tashqi burchaklari o`zaro teng va perimetri 74 sm, uning bir tomoni 16 sm ga teng. Ikkita qolgan tomonlarini toping.

A) 31, 29

B) 29, 30

C) 29, 29

D) 27, 32

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12. M ni shunday birhad bilan almashtiringki, natijada noma’lumning barcha qiymatlarida to`g`ri tenglik hosil bo`lsin:

A) II

B) III

C) IV

D) I

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13. Ifodaning qiymatini toping:

A) 125

B) 15

C) 195

D) 25

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14. Agar a=-8,3 bo`lsa, 0,6a+0,4∙(a-5,5) ifodaning qiymatini toping.

A) 10,5

B) 1,05

C) – 1,05

D) – 10,5

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15. Sonni standart ko`rinishda yozing: 1247800000

A) I

B) III

C) II

D) IV

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16. Uchburchakning ikki bissektrissasining kesishishidan hosil bo`lgan burchak 128⁰ ga teng. Uchburchakning uchinchi burchagini toping.

A) 65

B) 67

C) 64

D) 66

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17. To`g`ri burchakli uchburchakning gipotenuzasiga tushirilgan medianasi 8 sm. Uchburchakning burchaklaridan biri 60⁰bo`lsa, bu burchakka yopishgan tomonlarini toping (sm).

A) 9

B) 8

C) 5

D) 7

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18. Ifodani soddalashtiring:

A) 15x⁶y¹⁰

B) 15x⁵y¹⁰

C) 15x⁵y⁶

D) 15x⁷y¹⁰

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19. Ikkita parallel to`g`ri chiziqlarni to`g`ri chiziq bilan kesishishidan hosil bo`lgan mos burchaklarning yig`indisi 210⁰ ga teng.Bu burchaklarni toping.

A) 105°; 105°

B) 115°; 95°

C) 110°; 100°

D) 80°; 130°

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20. Soddalashtiring: 5b-(6b-a)-(a-6b)

A) 5b+2a

B) 5b

C) 17b-2a

D) 5b-2a

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21. Algebraik kasrni qisqartiring:

A) III

B) II

C) I

D) IV

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22. Hisoblang:

A) II

B) I

C) IV

D) III

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23. 1, 2, 3, 4, 5, 6 va 7 raqamlaridan, ularni takrorlamasdan nechta 4 xonali son tuzish mumkin?

A) 36 ta

B) 34 ta

C) 35 ta

D) 33 ta

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24. Bir ishni 10 kishi 8 kunda bajara oladi. 2 kundan so`ng, uchinchi kuni ularga yordam berish uchun bir necha kishi qo`shildi va qolgan ishni 4 kunda bajarishdi. Necha kishi kelib qo`shilgan?

A) 3

B) 4

C) 5

D) 6

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25. Tenglamani yeching. 4,5-1,6∙(5x-3)=1,2∙(4x-1)-15,1

A) 0

B) 1

C) 2

D) 3