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

A) 135°;45°

B) 111°30'; 68°30'

C) 112°30'; 67°30'

D) 113°;67°

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

A) I

B) IV

C) II

D) III

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

A) 36 ta

B) 35 ta

C) 34 ta

D) 33 ta

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4. 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) 30,5 sm

C) 2,5 sm

D) 2,5 sm va 30,5 sm

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

A) 11

B) 10

C) 9

D) 15

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

A) 70°

B) 90°

C) 80°

D) 86°

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

A) II

B) I

C) IV

D) III

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9. 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) 115°; 95°

B) 105°; 105°

C) 80°; 130°

D) 110°; 100°

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

A) 29, 29

B) 27, 32

C) 31, 29

D) 29, 30

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11. 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) 9

B) 1/8

C) 75/8

D) 81/8

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

A) 8

B) 9

C) 7

D) 5

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13. Sonni standart ko`rinishda yozing: 1247800000

A) II

B) IV

C) I

D) III

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

A) (5a)³-(3b)³

B) (3a-5b)³

C) (5a-3b)³

D) (3a+5b)³

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

A) 70 %

B) 60 %

C) 55 %

D) 50 %

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16. 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) 70°

B) 75°

C) 80°

D) 10°

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17. Ifodani soddalashtiring:

A) 15x⁵y¹⁰

B) 15x⁵y⁶

C) 15x⁶y¹⁰

D) 15x⁷y¹⁰

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

A) 1

B) 3

C) 0

D) 2

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

A) 78/7

B) 6

C) -7

D) 7

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21. Tenglamani yeching: 8x+5=119+(7-3x)

A) 1,2

B) 11

C) 12

D) 1,1

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22. 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) 5

B) 4

C) 3

D) 6

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23. Ifodaning qiymatini toping:

A) 25

B) 125

C) 195

D) 15

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24. 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) 10000

C) 15000

D) 1000

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25. Hisoblang: