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Matematika olimpiada Tuman 2022-2023 o'quv yili

9-sinf Matematika olimpiada №4

InfoMaster

Avgust 19, 2024

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9-sinf Matematika olimpiada №4

2022-yil 12-oktabr:

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

1 / 30

1. P(x) ko‘phadni x-a ga bo‘lgandagi qoldiqni toping.

A) 0

B) P(x-a)

C) P(x)

D) P(a)

2 / 30

2. 20 dan 250 gacha sonlarichida 4 ga bo`linadigan, lekin 6 ga bo`linmaydigan nechta natural son bor?

A) 48

B) 33

C) 30

D) 39

3 / 30

3. А punktdan В punktga qarab yuk poyezdi yo‘lga chiqdi. Oradan 3 soat o‘tgandan keyin, uning ortidan tezligi yuk poyezdi tezligidan 40 km/soat ortiq bo‘lgan yo‘lovchi poyezdi yo‘lga chiqdi. Yuk poyezdi yo‘lga chiqqanidan 15 soat o‘tib yo‘lovchi poyezdi yuk poyezdidan 300 km oldinda ekani ma’lum bo‘ldi. Yuk poyezdining tezligini toping.

A) 50 km/soat

B) 80 km/soat

C) 100 km/soat

D) 60 km/soat

4 / 30

4. hisoblang.

A) 42

B) 1/42

C) 3/14

D) 14/3

5 / 30

5. 4 ga bo‘lganda 3, 3 ga bo‘lganda esa 2 qoldiq hosil bo‘ladigan barcha ikki xonali sonlar
yig‘indisini toping.

A) 384

B) 424

C) 376

D) 420

6 / 30

6. Soddalashtiring

A) 6

B) 5

C) 9

D) 0

7 / 30

7. a = 0,12(12), ? = 0,1(21), c = 0,12(11). Agar a+ b+ c= 0, x₁x₂x₃x₄... x₂₀₂₁x₂₀₂₂x_2023...bo‘lsa, x₂₀₂₂ni toping (bunda, x₁, x₂... raqamlar).

A) 9

B) 2

C) 6

D) 5

8 / 30

8. a parametrning qanday qiymatlarida 9 + 3a, 5 − 2a va 15 − 5a uzunlikdagi kesmalardan uchburchak
yashash mumkin?

A) (1/6 ; 1,5)

B) (1/6 ; 1,1)

C) (1/3 ; 1,2)

D) (0; 2,5)

9 / 30

9. Chizmadagi uchburchaklar sonini toping.

A) 30

B) 28

C) 24

D) 26

10 / 30

10. Agar ac < 0 bo‘lsa, y=ax-bx²-c funksiya grafigi koordinatalar tekisligining qaysi choraklaridan o‘tadi?

A) II, III, IV

B) I, III, IV

C) Barcha chorakdan o'tadi?

D) I,II,III

11 / 30

11. ABC uchburchakning AE va BF medianalari P nuqtada kesishadi. Agar ABC uchburchak yuzi 36 bo‘lsa, PEСF to‘rtburchak yuzini toping.

A) 18

B) 9

C) 12

D) 6

12 / 30

12. a parametrning qanday qiymatlarida 9 + 3a, 5 − 2a va 15 − 5a uzunlikdagi kesmalardan uchburchak
yashash mumkin?

A) (0; 2,5)

B) (1/3 ; 1,2)

C) (1/6 ; 1,5)

D) (1/6 ; 1,1)

13 / 30

13. Soddalashtiring:

A) B

B) C

C) A

D) D

14 / 30

14. ABCD to‘rtburchakda: AB=CD, BC= AD. Agar A burchak B burchakdan 4 marta katta bo‘lsa, to‘rtburchakning A burchagini toping.

A) 148°

B) 144°

C) 132°

D) 124°

15 / 30

15. Chizmada ∠AOD = 120∘, ∠BOD = 3∠AOB ?a ∠AOC = 2∠COD bo‘lsa, ∠BOC burchak nimaga teng?

A) 60°

B) 30°

C) 50°

D) 45°

16 / 30

16. Ikkinchi raqami uchinchi raqamidan 1 ta kam bo‘lgan uch xonali sonlar sonini toping.

A) 55

B) 95

C) 81

D) 63

17 / 30

17. Soddalashtiring:

A) A

B) B

C) C

D) D

18 / 30

18. Ikkinchi raqami uchinchi raqamidan 4 marta katta, birinchi raqami esa ikkinchi raqamidan 3 ta kam bo‘lgan uch xonali sonlar nechta?

A) 2

B) 1

C) 3

D) 4

19 / 30

19. Anvar 2 dan boshlab barcha natural sonlarni doskaga yozdi. U yozayotganda to‘la kub bo‘lgan sonlarni qoldirib ketdi (8, 125 kabi). Doskaga 2186-o‘rinda yozilgan sonni toping.

A) 2197

B) 2199

C) 2198

D) 2200

20 / 30

20. tengsizlikning (−5; 5) oraliqda nechta butun yechimi mavjud?

A) 8

B) 9

C) 10

D) 7

21 / 30

21. Soddalashtiring:

A) B

B) D

C) C

D) A

22 / 30

22. Soat strelkasi 5 soat vaqt o‘tgandan keyin qanday burchakka buriladi?

A) 150°

B) 100°

C) 160°

D) 120°

23 / 30

23. Hisoblang:

A) -22/12

B) -11/6

C) -5/4

D) -4/3

24 / 30

24. Tenglamani yeching:

A) 29/220

B) Ø

C) 10/11

D) 0

25 / 30

25. Agar bo'lsa, ning qiymatini toping.

A) 6

B) -4

C) 0

D) 5

26 / 30

26. f(x)=ax+b funksiya grafigi A(-1;3) va B(1;7) nuqtalar orqali o‘tadi. f(4- f( -1)) ni toping

A) 7

B) 9

C) 12

D) 10

27 / 30

27. Hisoblang:

A) 8

B) 0

C) -6

D) 5

28 / 30

28. Agar a + b − 2c = 0 bo’lsa, ni hisoblang.

A) 3

B) 0

C) 2

D) 1

29 / 30

29. Uchlari A(2; −3), B(6; 0), C(6; 2) va D(2; 2) nuqtalarda bo‘lgan ABCD to‘rtburchak yuzini toping.

A) 12

B) 16

C) 18

D) 14

30 / 30

30. Oila erkak kishi, uning ayoli va talaba qizidan iborat. Agar erkak kishining maoshi 2 barobar oshsa, u holda oila daromadi 67%ga ortadi, agar talaba qizning stipendiyasi 3 barobar kamaysa, oila daromadi 4%ga qisqaradi. Ayolning maoshi oila daromadining necha foizni tashkil qiladi?

A) 26

B) 28

C) 27

D) 25