Barcha fanlardan online testlar

Matematika olimpiada Tuman 2020-2021 o'quv yili

9-sinf Matematika olimpiada №1

InfoMaster

Avgust 23, 2024

14 Ko'rishlar 0

SaqlashSaqlanganOlib tashlandi 0

9-sinf Matematika olimpiada №1

2020-2021 o'quv yil tuman bosqichida tushgan savollar

1 / 24

1. ni hisoblang.

A) -2

B) 3

C) 4

D) 2

2 / 24

2. Agar bo‘lsa, ni hisoblang.

A) -4

B) 4

C) ±4

D) 3

3 / 24

3. 60⁰ li burchakka bir-biriga tashqaridan urinuvchi ikkita aylana ichki chizilgan. Kichik aylananing radiusi ga teng. Katta aylananing radiusini toping.

A) 5r

B) 2r

C) 4r

D) 3r

4 / 24

4. bo‘lsa, ifodaning qiymatini toping

A) 2/3

B) 13/16

C) 3/16

D) 15/16

5 / 24

5. Ifodaning eng kichik qiymatini toping:

A) 4

B) -12

C) 12

D) -4

6 / 24

6. To‘g‘ri burchakli uchburchakka ichki chizilgan aylana urinish nuqtasida gipotenuzani 5 va 12 ga teng kesmalarga ajratadi. Uchburchak yuzini toping

A) 35

B) 48

C) 65

D) 60

7 / 24

7. Teng yonli trapetsiyaning diagonali uni ikkita teng yonli uchburchakka ajratadi. Trapetsiyaning burchaklarini toping.

1. $82^{0},98^{0}$

2. $135^{0},45^{0}$

3. $100^{0},80^{0}$

4. $72^{0},108^{0}$

A) 1

B) 3

C) 4

D) 2

8 / 24

8. Tenglamani yeching: |x+6|=|x+10|

A) -6

B) -8

C) 4

D) 6

9 / 24

9. Hisoblang:

A) 1,5

B) 5

C) 0,5

D) 1

10 / 24

10. Geometrik progressiyada dastlabki to‘rtta hadlari mos ravishda 6; 24; 96; bo‘lsa, ni toping.

A) 14

B) 16

C) 22

D) 15

11 / 24

11. Rombning diagonallari 6 va 8 ga teng bo‘lsa, uning tomonini toping.

A) 8

B) 6

C) 3

D) 5

12 / 24

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

A) 50 sm

B) 56 sm

C) 40 sm

D) 20 sm

13 / 24

13. Uchburchakning perimetri 24 sm ga teng bo‘lib, uning tomonlari uzunliklari arifmetik progressiya tashkil etadi. Shu uchburchakning kichik tomoni 6 sm bo‘lsa, uchburchak turini aniqlang.

A) O’tmas burchakli

B) O’tkir burchakli

C) Bunday uchburchak yo’q

D) To‘g‘ri burchakli

14 / 24

14. Asoslari 18 va 12 ga teng bo‘lgan teng yonli trapetsiyaning diagonallari o‘zaro perpendikulyar. Trapetsiyaning yuzini toping

A) 150

B) 125

C) 400

D) 225

15 / 24

15. ifodani a=4, b=5 bo‘lgandagi qiymatini toping.

A) 1

B) 0

C) 2

D) -1

16 / 24

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

A) 1/35

B) -1

C) 31/35

D) 1/33

17 / 24

17. stemadan ni toping.

A) 7/11

B) 11/7

C) 7/3

D) 3/7

18 / 24

18. Abituriyentga 36 ta masala berildi. To‘g‘ri yechilgan har biriga 3 ball beriladi. Noto‘g‘risiga 2 ball chegiriladi. 88 ball to‘plashi uchun o‘quvchi nechta masalani to‘g‘ri yechishi kerak?

A) 34

B) 32

C) 30

D) 38

19 / 24

19. Parallellogrammning 5 ga teng bo‘lgan diagonali uning 12 ga teng bo‘lgan tomoniga perpendikulyar. Parallelogrammning perimetrini toping.

A) 50

B) 44

C) 48

D) 34

20 / 24

20. Tenglamaning natural sonlardagi yechimida ni toping:

A) 5

B) 2

C) 3

D) 4

21 / 24

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

A) P(a)

B) P(x-a)

C) 0

D) P(x)

22 / 24

22. Hovuzga uchta quvur o‘tkazilgan. Birinchisi hovuzni 12 soatda, ikkinchisi 8 soatda to‘ldiradi. Uchinchisi hovuzni 1 sutkada bo‘shatadi. Agar uchala quvur birgalikda ochib qo‘yilsa, bo‘sh hovuzning yarmi qancha vaqt(soat)da to‘ladi?

A) 2,5

B) 3

C) 2

D) 1,5

23 / 24

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