Barcha fanlardan online testlar

Matematika olimpiada Viloyat 2021-2022 o'quv yili

9-sinf Matematika olimpiada №3.1

InfoMaster

Avgust 19, 2024

15 Ko'rishlar 2 izohlar

SaqlashSaqlanganOlib tashlandi 0

9-sinf Matematika olimpiada №3.1

2021-2022 o'quv yil viloyat bosqichida tushgan savollar.

1 / 25

1. Geometrik progressiyada dastlabki to‘rtta hadlari mos ravishda 6; 24; 96; bo‘lsa, ni toping.

A) 14

B) 15

C) 22

D) 16

2 / 25

2. ABC uchburchakda O nuqta AD medianava BE bissektrisalar kesishishnuqtasi. AOEva BOD uchburchaklar yuzlari mos ravishda 1 va 3 ga teng bo`lsa, EOC uchburchakning yuzini toping.

A) 5

B) 3

C) 2

D) 4

3 / 25

3. N+4 va N-85 sonlari natural son kvadrati bo‘ladigan N natural sonni toping.

A) 2019

B) 2022

C) 2021

D) 2023

4 / 25

4. Dastlab tarvuzning 99% i suv edi, quritilgandan so‘ng esa 98% suv bo‘ldi. Tarvuzning massasi necha marta kamaydi?

A) 2

B) 2.5

C) 4

D) 1.5

5 / 25

5. Tenglama ildizlari yig‘indisini toping. (? − |?|)² + ? + |?| = 100 .

A) 45

B) 55

C) 40

D) 50

6 / 25

6. Raqamlari joylashuvi kamayish tartibida bo‘ladigan nechta uch xonali natural son mavjud? (masalan, 983, 751,210)

A) 115

B) 130

C) 120

D) 125

7 / 25

7. ABC uchburchak berilgan ∠B = 90°. AC va BC tomonlarida mos ravishda E va D nuqtalar shunday olinganki, bunda AE = EC, ∠ADB = ∠EDC. U holda CD: BD ni toping.

A) 3

B) 5

C) 2

D) 4

8 / 25

8. Hisoblang: bunda,

A) -64

B) -144

C) -100

D) -49

9 / 25

9. ?(?) = 6/(?−1) va ?(?) = 2? − 1. ?(?(2)) + ?(?(3)) + ?(?(2)) + ?(?(3)) ni toping.

A) 11.4

B) 12.6

C) 9.8

D) 18.2

10 / 25

10. Tenglama butun sonlarda nechta yechimga ega? (? − 2021)² − ?² + 2? = 14

A) 3

B) 6

C) 4

D) 5

11 / 25

11. tengsizlikning butun yechimlari yig‘indisini toping.

A) 12

B) 20

C) 21

D) 18

12 / 25

12. Aylanaga ichki chizilgan trapetsiyaning diagonallari o‘zaro perpendikulyar. Trapetsiya asoslari 1:7 nisbatda va perimetri 18 ga teng bo‘lsa, trapetsiya yuzini toping.

A) 18

B) 13

C) 22

D) 16

13 / 25

13. Ucburchakning tomonlari 13; 14; 15 ga teng. Ichki chizilgan aylana radiusini toping.

A) 3.5

B) 4

C) 4.5

D) 4.8

14 / 25

14. f(x) kvadrat funksiyaga nisbatan ma’lumki, f(0) + f(1) = 0, f(2) + f(3) = 0. f(x) = 2022 tenglamaning ildizlari yig‘indisi nimaga teng? (bunda, f(x) = 2022 tenglama 2 ta turli yechimga ega).

A) 6

B) 3

C) 5

D) 4

15 / 25

15. ?₁ va ?₂ sonlari 2?² − 3? − 2 = 0 tenglamaning ildizlari, |?₁ − ?₂| ni toping.

A) 3.5

B) 2

C) 2.5

D) 3

16 / 25

16. Uchburchakning to‘g‘ri burchagidan chiquvchi bissektrisa gipotenizani 15 va 20 ga teng qismlarga ajratadi. Uchburchak yuzini toping.

A) 294

B) 288

C) 268

D) 264

17 / 25

17. Agar ? + ? + ? = 0 bo‘lsa, ni soddalashtiring.

A) 1

B) 1.8

C) 1.2

D) 0

18 / 25

18. Tenglamalar sistemasi nechta yechimga ega?

A) 6

B) 12

C) 10

D) 8

19 / 25

19. Kenguru oldinga 1 metrga yoki 3 metrga sakraydi. U 10 metr masofani bosib o‘tishni xohlaydi. U bu ishni necha usulda amalga oshira oladi?

A) 30

B) 28

C) 36

D) 55

20 / 25

20. Chizmadagi 14 ta kvadratning perimetrlar yig‘indisi 400 sm ga teng. Ushbu kvadratlarning yuzlari yig‘indisi necha kv.sm ni tashkil qiladi?

A) 900

B) 850

C) 800

D) 950

21 / 25

21. Tenglamani yeching: (71² + 81²)(7² + 8²) = 1135² + ?²

A) 169

B) 159

C) 151

D) 161

22 / 25

22. Raqamlari yig‘indisidan 12 marta katta bo‘lgan uch xonali sonlarni toping.

A) 150

B) 111

C) 109

D) 108

23 / 25

23. Yig‘indini toping:

A) 2023

B) 2021

C) 2020

D) 2022

24 / 25

24. Soddalashtiring:

A) I

B) III

C) II

D) IV

25 / 25

25. 1 dan 100 gacha bo‘lgan natural sonlar orasidagi ? sonlar shundayki, ? ning natural bo‘luvchilari ko‘paytmasi(1 va ? ham inobatga olinganda) ?³ ga teng. Shunday ? natural sonlar nechta?

A) 12

B) 18

C) 10

D) 16