Barcha fanlardan online testlar

Matematika olimpiada Tuman 2022-2023 o'quv yili

9-sinf Matematika olimpiada №4

InfoMaster

Avgust 19, 2024

23 Ko'rishlar 2 izohlar

SaqlashSaqlanganOlib tashlandi 0

9-sinf Matematika olimpiada №4

2022-yil 12-oktabr:

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

1 / 30

1. Agar (3-a)(3-b)(3-c)=(3+a)(3+b)(3+c) bo‘lsa, $(ab)^{-1}+(bc)^{-1}+(ac)^{-1}$ ni hisoblang. (Bunda $abc\neq 0$ ).

A) -1/3

B) 1/9

C) 1/27

D) -1/9

2 / 30

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

A) a=2 ; a = -3

B) a = 1

C) a ≠1

D) a=−3

3 / 30

3. tengsizlikning butun yechimlari yig’indisini toping.

A) 15

B) 9

C) 7

D) 10

4 / 30

4. olti xonali son bo‘lsa quyidagini toping.

A) -99

B) 9

C) -11

D) 99

5 / 30

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

A) 1.8

B) 1.2

C) 0

D) 1

6 / 30

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

A) (1/3 ; 1,2)

B) (0; 2,5)

C) (1/6 ; 1,5)

D) (1/6 ; 1,1)

7 / 30

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

A) 3

B) 4

C) 2

D) 1

8 / 30

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

A) 12

B) 6

C) 18

D) 9

9 / 30

9. Agar 3x − y = 7 va 5x + 4y = 21 bo‘lsa, 24x + 9y ni hisoblang.

A) 78

B) 90

C) 69

D) 84

10 / 30

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

A) 0

B) 2

C) 3

D) 1

11 / 30

11. Chizmadagi uchburchaklar sonini toping.

A) 24

B) 28

C) 26

D) 30

12 / 30

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

A) 124°

B) 132°

C) 148°

D) 144°

13 / 30

13. Agar AB =12, BC =14, CD = 2 bo’lsa, aylana radiusini aniqlang.

A) 9

B) 11

C) 8

D) 10

14 / 30

14. Soddalashtiring

A) 6

B) 5

C) 9

D) 0

15 / 30

15. −16 ≤ 2(y − 7) ≤ 0 va −7 ≤ x ≤ 8 bo‘lsa, x² − y² ifodaning eng kichik qiymatini toping.

A) 1

B) 3

C) 2

D) 0

16 / 30

16. Ikki son o’rtasidagi ∆ operatsiyasiga ko‘ra quyidagi natijalar olindi:

12 ∆ 1 operatsiya natijasini toping.

A) 125

B) 121

C) 136

D) 132

17 / 30

17. Soddalashtiring:

A) D

B) C

C) A

D) B

18 / 30

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

A) 160°

B) 100°

C) 120°

D) 150°

19 / 30

19. Hisoblang:

A) 8

B) 5

C) 0

D) -6

20 / 30

20. Soddalashtiring:

A) D

B) A

C) B

D) C

21 / 30

21. 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) 25

B) 28

C) 26

D) 27

22 / 30

22. Tenglamani yeching:

A) Ø

B) 0

C) 10/11

D) 29/220

23 / 30

23. 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) (0; 2,5)

D) (1/3 ; 1,2)

24 / 30

24. 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) 2200

B) 2197

C) 2198

D) 2199

25 / 30

25. Agar bo'lsa, ning qiymatini toping.