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7-sinf Matematika olimpiada №1

InfoMaster

Aprel 29, 2022

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SaqlashSaqlanganOlib tashlandi 3

7-sinflar Matematika olimpiada №1

2019-yil bilimlar bellashuvida tushgan savollar

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

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

B) a²

C) 18b²-a²+6ab

D) (6b-a)a

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2. 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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3. 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 =12,5 sm; BC =15 sm;

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

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

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

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

A) 15000

B) 10000

C) 1000

D) 30000

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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) 1/8

B) 9

C) 75/8

D) 81/8

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

A) 90°

B) 86°

C) 70°

D) 80°

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7. 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) 80°; 130°

D) 110°; 100°

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8. 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) 2,5 sm va 30,5 sm

B) 3,5 sm va 29,5 sm

C) 30,5 sm

D) 2,5 sm

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9. Ifodaning qiymatini toping:

A) 195

B) 25

C) 15

D) 125

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10. Hisoblang:

A) IV

B) I

C) II

D) III

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

A) 0

B) 2

C) 3

D) 1

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12. 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) 48 sm

B) 12 sm

C) 24 sm

D) 30 sm

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

A) 113°;67°

B) 111°30'; 68°30'

C) 112°30'; 67°30'

D) 135°;45°

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

A) 70 %

B) 50 %

C) 55 %

D) 60 %

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15. 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) 6

C) 5

D) 4

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

A) 1,1

B) 12

C) 11

D) 1,2

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

A) 78/7

B) 7

C) 6

D) -7

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18. Ifodani soddalashtiring:

A) 15x⁶y¹⁰

B) 15x⁵y¹⁰

C) 15x⁵y⁶

D) 15x⁷y¹⁰

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

A) 5b-2a

B) 17b-2a

C) 5b

D) 5b+2a

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

A) III

B) II

C) IV

D) I

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21. 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) 27, 32

D) 29, 29

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22. 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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23. 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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24. Algebraik kasrni qisqartiring: