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7-sinf Matematika olimpiada №1

InfoMaster

Aprel 29, 2022

855 Ko'rishlar 1 izoh

SaqlashSaqlanganOlib tashlandi 3

7-sinflar Matematika olimpiada №1

2019-yil bilimlar bellashuvida tushgan savollar

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

A) 18b²-a²+6ab

B) a²

C) (6b-a)a

D) (6b-a)(6b+a)

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

A) (3a+5b)³

B) (5a)³-(3b)³

C) (3a-5b)³

D) (5a-3b)³

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4. Hisoblang:

A) II

B) I

C) III

D) IV

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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) 81/8

B) 75/8

C) 9

D) 1/8

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

A) 78/7

B) -7

C) 7

D) 6

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7. 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) 9

C) 15

D) 11

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

A) 12

B) 11

C) 1,1

D) 1,2

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9. Algebraik kasrni qisqartiring:

A) IV

B) III

C) I

D) II

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10. 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) 6

C) 3

D) 5

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11. 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) 80°

B) 10°

C) 75°

D) 70°

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

A) 80°

B) 86°

C) 90°

D) 70°

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13. Ifodaning qiymatini toping:

A) 15

B) 195

C) 25

D) 125

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

A) 67

B) 65

C) 64

D) 66

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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) 110°; 100°

B) 80°; 130°

C) 105°; 105°

D) 115°; 95°

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

A) 111°30'; 68°30'

B) 135°;45°

C) 113°;67°

D) 112°30'; 67°30'

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

A) 3

B) 0

C) 1

D) 2

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

A) 8

B) 5

C) 9

D) 7

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19. 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) 24 sm

C) 12 sm

D) 48 sm

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20. 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) 29, 30

C) 27, 32

D) 31, 29

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21. Ifodani soddalashtiring:

A) 15x⁵y¹⁰

B) 15x⁶y¹⁰

C) 15x⁵y⁶

D) 15x⁷y¹⁰

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22. 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) 10000

C) 15000

D) 30000

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23. 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 =15 sm; BC =12,5 sm;

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

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

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