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7-sinf Matematika olimpiada №1

InfoMaster

Aprel 29, 2022

1401 Ko'rishlar 1 izoh

SaqlashSaqlanganOlib tashlandi 3

7-sinflar Matematika olimpiada №1

2019-yil bilimlar bellashuvida tushgan savollar

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

A) 67

B) 65

C) 66

D) 64

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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) 9

B) 11

C) 15

D) 10

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

A) 3

B) 1

C) 2

D) 0

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

A) 60 %

B) 50 %

C) 55 %

D) 70 %

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5. To`g`ri burchakli parallelepipedning asosi tomoni c sm ga teng bo`lgan kvadratdan iborat bo`lib,balandligi d Bu parallelepipeddan qirrasi c sm bo`lgan kub qirqib olindi. Qolgan qismining hajmi V (sm³)ni hisoblash formulasini tuzing. Agar c=2,5 sm, d=4 sm bo`lsa, V ni toping.

A) 81/8

B) 1/8

C) 9

D) 75/8

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6. Ifodani soddalashtiring:

A) 15x⁵y¹⁰

B) 15x⁷y¹⁰

C) 15x⁵y⁶

D) 15x⁶y¹⁰

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7. 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) 6

D) 5

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8. Telefon stansiyasi mijozlarining uy telefon raqamlari 7 xonali sonlardan iborat va 573 sonidan boshlanadi. Shu stansiya nechta mijozga xizmat ko`rsatishi mumkin?

A) 30000

B) 1000

C) 10000

D) 15000

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

A) a²

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

C) 18b²-a²+6ab

D) (6b-a)a

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10. 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) 30,5 sm

B) 2,5 sm va 30,5 sm

C) 3,5 sm va 29,5 sm

D) 2,5 sm

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

A) 7

B) 5

C) 8

D) 9

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12. Ifodaning qiymatini toping:

A) 125

B) 25

C) 195

D) 15

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13. 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) 80°; 130°

C) 110°; 100°

D) 115°; 95°

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

A) 1,05

B) – 1,05

C) 10,5

D) – 10,5

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

A) 86°

B) 80°

C) 90°

D) 70°

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16. Hisoblang:

A) II

B) IV

C) III

D) I

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17. 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 =16 sm; BC =12 sm;

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

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

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

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

A) III

B) I

C) II

D) IV

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19. Sonni standart ko`rinishda yozing: 1247800000

A) III

B) IV

C) I

D) II

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20. Algebraik kasrni qisqartiring:

A) I

B) IV

C) III

D) II

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21. Tenglamaning ildizi x₀bo’lsa, 18:x₀ ifodaning son qiymatini toping.

A) 78/7

B) -7

C) 6

D) 7

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

A) 5b

B) 5b-2a

C) 5b+2a

D) 17b-2a

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

A) II

B) I

C) IV

D) III

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24. 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) 10°

B) 80°

C) 75°

D) 70°

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

A) (3a+5b)³

B) (3a-5b)³

C) (5a-3b)³

D) (5a)³-(3b)³