9-sinf Matematika olimpiada №5

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2022-yil 04-noyabr:

2022-2023 o'quv yili viloyat bosqichida tushgan savollar!

1 / 30

Yuzi 96 sm², balandliklari 6 sm va 8 sm bo‘lgan parallelogrammning perimetrini toping.

A) 56 sm

B) 40 sm

C) 20 sm

D) 50 sm

2 / 30

(a²- 9)x = a²+ 2a - 3 tenglama a ningqandayqiymatidacheksizko’pyechimgaega?

A) a ≠1

B) a = 1

C) a=−3

D) a=2 ; a = -3

3 / 30

Kataklarning chiziqlari bo’yicha A dan B ga olib boruvchi eng qisqa yo’llar soni nechta?

A) 55

B) 56

C) 57

D) 58

4 / 30

Ko’phadning darajasi nitoping:

A) 21

B) 18

C) 15

D) 12

5 / 30

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) 16

C) 10

D) 18

6 / 30

Chizmadagi uchburchaklar sonini toping.

A) 26

B) 24

C) 30

D) 28

7 / 30

143 ga bo'linadigan sonni hosil qilish uchun 2022 sonining o'ng tomoniga qanday ikkita raqam yozish kerak?

A) 68

B) 02

C) 46

D) 24

8 / 30

??? to'g'ri burchakli uchburchakning ?? gipotenuzasida ?? = ?? va ?? = ?? shartlarni qanoatlantiradigan ? va ? nuqtalar olingan. ??? burchakni toping.

A) 45°

B) 30°

C) 15°

D) 60°

9 / 30

7 ⋅ 27 ⋅ 47 ⋅ 67 ⋅ 87 ⋅. . .⋅ 1987 ⋅ 2007 ko’paytma qanday raqam bilan tugaydi?

A) 9

B) 3

C) 7

D) 1

10 / 30

? ∗ b belgilash ab ko’paytmaning raqamlari yig’indisini bildiradi. U holda (15 ∗ 10) ∗ (1510) ni toping.

A) 15

B) 10

C) 6

D) 9

11 / 30

Teng yonli trapetsiyaning diagonali o‘tmas burchagining bissektrisasi. Agar uning katta asosi 17, perimetri 56 bo‘lsa, trapetsiyaning diagonallarining o‘rtalarini tutashtiruvchi kesma uzunligini toping.

A) 5

B) 6

C) 9

D) 8

12 / 30

?????? muntazam oltiburchakning ?? tomoni orqali o’tuvchi to'g'ri chiziqda ∠???? = 45° bo'ladigan qilib ?? nuqta olingan. ∠???? burchakni toping.

A) 75

B) 85

C) 55

D) 65

13 / 30

Teploxod oqim bo‘yicha ?? punktdan ?? punktgacha masofani 5 soatda, qaytishda esa oqimga qarshi ?? punktdan ?? punktgacha masofani 8 soat 20 minutda bosib o‘tdi. Agar ?? va ?? punktlar orasidagi masofa 100 km bo‘lsa, teploxodning o‘z tezligini toping.

A) 18 км/час

B) 15 км/час

C) 16 км/час

D) 12 км/час

14 / 30

Tenglamani yeching:

A) 2023

B) 2021

C) 1

D) 2022

15 / 30

Bir xonadagi 9 kishining o'rtacha yoshi 25 ga, boshqa xonada o‘tirgan 11 kishining o‘rtacha yoshi 45 ga teng. Ikkala xonadagi barcha 20 kishining o'rtacha yoshini toping.

A) 35

B) 32

C) 36

D) 40

16 / 30

Soddalashtiring:

A) A

B) C

C) B

D) D

17 / 30

?, ?, ? −butun sonlar va ?²bc = 1 bo‘lsa, quyidagilardan qaysi biri har doim to‘g‘ri?

A) abc² = 1

B) ab² = 1

C) ab²c = 1

D) bc = 1

18 / 30

Soddalashtiring:

A) 1

B) 0

C) x

D) -1

19 / 30

Quyidagi sonlarning qaysi biri butun son?

A) A

B) C

C) D

D) B

20 / 30

19 ga bo'linadigan va 19 bilan tugaydigan nechta to'rt xonali sonlar bor?

A) 4

B) 3

C) 8

D) 5

21 / 30

A) 1

B) 3

C) -1

D) 2

22 / 30

A) 4

B) 2

C) 1

D) 3

23 / 30

Hisoblang:

A) 26

B) 56

C) 36

D) 46

24 / 30

20¹⁴ soni nechta raqamdan iborat?

A) 18

B) 17

C) 19

D) 20

25 / 30

A) 11

B) 5

C) 7

D) 1

26 / 30

? parametrning qanday qiymatlarida ?² − 5? + 4 = 0 tenglamaning ikkala ildizi ham [?; 3? + 2] oraliqqa tegishli bo‘ladi?

A) B

B) C

C) A

D) D

27 / 30

Chiziqli funksiyaning grafigi ikkinchi koordinata choragidan katetlari uzunligi 3 ga teng bo'lgan teng yonli to'g'ri burchakli uchburchak hosil qiladi.Ushbu funksiyani toping.

A) y=-x+3

B) y=x-3

C) y=x+3

D) y=-x-3

28 / 30

? va ? − butun sonlar, 2?? + ? = 14 va ?? ⩾ 9 bo‘lsa, 2? − 3? ni

A) 42

B) 50

C) 43

D) 40

29 / 30

A) 86

B) 80

C) 65

D) 90

30 / 30

Tenglamaning barcha haqiqiy ildizlari yig‘indisini toping:

A) √7+1

B) 1

C) 7

D) √7+7

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