Barcha fanlardan online testlar

Matematika olimpiada Viloyat 2021-2022 o'quv yili

9-sinf Matematika olimpiada №3.1

InfoMaster

Avgust 19, 2024

42 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. bo‘lsa, ifodaning qiymatini toping

A) 15/16

B) 13/16

C) 3/16

D) 2/3

2 / 25

2. Sonlarni o`sish tartibida yozing.

A) b

B) c

C) c

D) a

3 / 25

3. Тенгламани ечинг: ((0,001 ∙ ? + 2): 0,3) ∙ 0,01 − 11,2 = 22,2

A) 1 000 000

B) 1000

C) 1

D) 100 000

4 / 25

4. Beshta musbat son berilgan. Birinchi va beshinchi sonlar yig‘indisi 13 ga teng. Berilgan barcha sonlar yig‘indisidan ikkinchi son 3 marta, uchinchi son 4 marta, to‘rtinchi son esa 5 marta kichik. Berilgan sonlardan eng kattasini toping.

A) 22

B) 20

C) 15

D) 12

5 / 25

5. 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) 36

C) 28

D) 55

6 / 25

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

A) 4.8

B) 4.5

C) 3.5

D) 4

7 / 25

A) -36

B) -216

C) -1

D) -6

8 / 25

8. Teng yonli trapetsiyaning asoslari 6 va 10 ga, diagonali 10 ga teng. Trapetsiya yuzini
toping.

A) 36

B) 56

C) 64

D) 48

9 / 25

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

A) 3

B) 5

C) 6

D) 4

10 / 25

10. Tenglamalar sistemasi nechta yechimga ega?

A) 12

B) 6

C) 8

D) 10

11 / 25

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

A) 850

B) 900

C) 950

D) 800

12 / 25

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

A) 169

B) 161

C) 159

D) 151

13 / 25

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

A) 108

B) 150

C) 111

D) 109

14 / 25

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

A) 40

B) 55

C) 45

D) 50

15 / 25

15. 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) 5

B) 2

C) 4

D) 3

16 / 25

16. Yig‘indini toping:

A) 2023

B) 2021

C) 2022

D) 2020

17 / 25

17. 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) 18

B) 12

C) 10

D) 16

18 / 25

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

A) 13

B) 16

C) 22

D) 18

19 / 25

19. Hisoblang: bunda,

A) -100

B) -144

C) -64

D) -49

20 / 25

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

A) 3.5

B) 2

C) 3

D) 2.5

21 / 25

21. 4 ga bo‘lganda 3, 3 ga bo‘lganda esa 2 qoldiq hosil bo‘ladigan barcha ikki xonali sonlar
yig‘indisini toping.

A) 424

B) 384

C) 376

D) 420

22 / 25

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

A) 120

B) 130

C) 125

D) 115

23 / 25

23. tengsizlikning butun yechimlari yig‘indisini toping.

A) 12

B) 20

C) 18

D) 21

24 / 25

24. bo‘lsa, ? + ? ni toping.

A) 13

B) 16

C) 11

D) 12

25 / 25

25. 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) 3

B) 4

C) 6

D) 5