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Matematika olimpiada Viloyat 2021-2022 o'quv yili

9-sinf Matematika olimpiada №3.1

InfoMaster

Avgust 19, 2024

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9-sinf Matematika olimpiada №3.1

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

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1. Agar bo‘lsa, ko‘paytmani hisoblang.

A) 1/35

B) 1/33

C) -1

D) 31/35

2 / 25

2. Muntazam uchburchakning ichidagi nuqtadan tomonlarigacha bo`lgan masofalar yig`indisi 6 ga teng bo`lsa, uchburchak yuzini toping.

A) 84

B) 99

C) 12√3

D) 55

3 / 25

3. Hisoblang

A) 11

B) 18

C) 15

D) 16

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4. Yig‘indini toping:

A) 2020

B) 2023

C) 2021

D) 2022

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5. tengsizlikning butun yechimlari yig‘indisini toping.

A) 12

B) 20

C) 21

D) 18

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6. Tenglamalar sistemasi nechta yechimga ega?

A) 8

B) 10

C) 6

D) 12

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

A) 111

B) 150

C) 109

D) 108

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8. 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) 12

C) 15

D) 20

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

A) 159

B) 169

C) 151

D) 161

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

A) 2.5

B) 2

C) 3

D) 3.5

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11. Tenglamaning ildizlari yig‘indisini toping: [?] + {2?} = 2,5 (bu yerda, [?]⎯ ? sonining
butun qismi, {?}⎯ ? sonining kasr qismi, ya’ni {?} = ? − [?])

A) 6

B) 9

C) 5

D) 3

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

A) 4

B) 1.5

C) 2.5

D) 2

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

A) 268

B) 288

C) 264

D) 294

14 / 25

14. bo‘lsa, ? + ? ni toping.

A) 11

B) 12

C) 16

D) 13

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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) 3

B) 2

C) 5

D) 4

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16. 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) 16

D) 10

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17. Hisoblang: bunda,