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7-sinf Matematika olimpiada №1

InfoMaster

Aprel 29, 2022

2613 Ko'rishlar 1 izoh

SaqlashSaqlanganOlib tashlandi 4

7-sinflar Matematika olimpiada №1

2019-yil bilimlar bellashuvida tushgan savollar

Ismi familiyangizni kriting!

Iltimos ma'lumotlaringizni to'g'ri kritishga e'tibor bering!

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1. 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) 110°; 100°

C) 80°; 130°

D) 105°; 105°

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

A) II

B) III

C) I

D) IV

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3. Sonni standart ko`rinishda yozing: 1247800000

A) IV

B) II

C) III

D) I

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

A) 67

B) 66

C) 64

D) 65

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

A) 80°

B) 70°

C) 86°

D) 90°

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

A) 9

B) 5

C) 7

D) 8

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8. 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, 29

C) 27, 32

D) 29, 30

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

A) 7

B) -7

C) 6

D) 78/7

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

A) 5b

B) 17b-2a

C) 5b+2a

D) 5b-2a

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11. 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) 2,5 sm

C) 3,5 sm va 29,5 sm

D) 30,5 sm

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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) 30 sm

B) 48 sm

C) 24 sm

D) 12 sm

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13. Ifodaning qiymatini toping:

A) 15

B) 195

C) 25

D) 125

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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) 10,5

C) – 1,05

D) – 10,5

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

A) a²

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

C) (6b-a)a

D) 18b²-a²+6ab

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16. Ifodani soddalashtiring:

A) 15x⁷y¹⁰

B) 15x⁵y⁶

C) 15x⁶y¹⁰

D) 15x⁵y¹⁰

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

A) 135°;45°

B) 113°;67°

C) 111°30'; 68°30'

D) 112°30'; 67°30'

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

A) 1,2

B) 1,1

C) 12

D) 11

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

A) 10

B) 15

C) 11

D) 9

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21. 1, 2, 3, 4, 5, 6 va 7 raqamlaridan, ularni takrorlamasdan nechta 4 xonali son tuzish mumkin?

A) 34 ta

B) 35 ta

C) 36 ta

D) 33 ta

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22. Algebraik kasrni qisqartiring:

A) III

B) IV

C) I

D) II

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23. 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) 15000

D) 10000

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24. 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) 6

B) 5

C) 3

D) 4

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