7-sinf Matematika olimpiada №1

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7-sinflar Matematika olimpiada №1

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

A) 34 ta

B) 35 ta

C) 33 ta

D) 36 ta

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2. 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) 75/8

C) 1/8

D) 81/8

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3. 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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4. 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) 10

D) 9

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5. 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 =12,5 sm; BC =15 sm;

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

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

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

A) 5b-2a

B) 17b-2a

C) 5b

D) 5b+2a

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

A) III

B) II

C) I

D) IV

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

A) 2

B) 3

C) 0

D) 1

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9. Umumiy AB asosga ega bo`lgan ACB va ADB uchburchaklar berilgan. CD va AB lar O nuqtada kesishadi. Agar ∠DAB= ∠CBA, ∠CAB= ∠DBA, DB=24 sm bo`lsa, CA ni toping.

A) 24 sm

B) 12 sm

C) 48 sm

D) 30 sm

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

A) 7

B) 9

C) 8

D) 5

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11. Ifodani soddalashtiring:

A) 15x⁶y¹⁰

B) 15x⁵y⁶

C) 15x⁷y¹⁰

D) 15x⁵y¹⁰

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

A) 7

B) 78/7

C) 6

D) -7

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

A) 1000

B) 30000

C) 10000

D) 15000

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15. Ifodaning qiymatini toping:

A) 15

B) 195

C) 25

D) 125

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16. 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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17. 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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18. Ko’paytuvchilarga ajrating: x⁴+x²+1

A) I

B) III

C) II

D) IV

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

A) 70 %

B) 60 %

C) 50 %

D) 55 %

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

A) (6b-a)(6b+a)

B) (6b-a)a

C) 18b²-a²+6ab

D) a²

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

A) 1,2

B) 1,1

C) 12

D) 11

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

A) 111°30'; 68°30'

B) 135°;45°

C) 112°30'; 67°30'

D) 113°;67°

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23. Sonni standart ko`rinishda yozing: 1247800000

A) II

B) I

C) III

D) IV

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24. 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) 27, 32

C) 29, 30

D) 29, 29

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25. Hisoblang:

A) II

B) III

C) I

D) IV

Author: InfoMaster

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7-sinf Matematika olimpiada №1

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Author: InfoMaster