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7-sinf Matematika olimpiada №1

InfoMaster

Aprel 29, 2022

551 Ko'rishlar 1 izoh

SaqlashSaqlanganOlib tashlandi 1

7-sinflar Matematika olimpiada №1

2019-yil bilimlar bellashuvida tushgan savollar

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1. 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) 4

B) 5

C) 6

D) 3

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2. Hisoblang:

A) III

B) I

C) II

D) IV

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

A) (5a)³-(3b)³

B) (3a-5b)³

C) (3a+5b)³

D) (5a-3b)³

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4. 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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5. 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) 12 sm

B) 30 sm

C) 48 sm

D) 24 sm

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6. Ifodani soddalashtiring:

A) 15x⁷y¹⁰

B) 15x⁶y¹⁰

C) 15x⁵y⁶

D) 15x⁵y¹⁰

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

A) II

B) III

C) IV

D) I

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9. 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, 30

B) 31, 29

C) 27, 32

D) 29, 29

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

A) 11

B) 1,2

C) 12

D) 1,1

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

A) 7

B) 78/7

C) 6

D) -7

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12. 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 =12 sm; BC =16 sm;

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

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

A) 64

B) 65

C) 66

D) 67

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

A) 90°

B) 86°

C) 80°

D) 70°

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

A) I

B) III

C) IV

D) II

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

A) 5b

B) 5b-2a

C) 5b+2a

D) 17b-2a

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18. Sonni standart ko`rinishda yozing: 1247800000

A) IV

B) I

C) III

D) II

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

A) 10000

B) 30000

C) 15000

D) 1000

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

A) 2

B) 3

C) 1

D) 0

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22. Ifodaning qiymatini toping:

A) 25

B) 125

C) 15

D) 195

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23. Algebraik kasrni qisqartiring:

A) III

B) II

C) I

D) IV

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

A) 50 %

B) 70 %

C) 55 %

D) 60 %

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25. 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) 75°

C) 80°

D) 70°