Мavzu:”Olimpiada masalalarini yecyishni o’rgatish”

X sinf, Matematika

II-tur

II-variant

1) 279 ni 16 ga bo’lganda qoldiq 7 bo’ladi. Bo’linma nechaga teng ?

A) 12 B) 13 C) 11 D) 17

2) ga teskari sonni toping.

A) -0,75 B) 1,5 C) D)

3) 1 soat 160 minut 5 sekund necha sekunddan iborat.

A)12205 B)106005 C)13205 D) 14205

4) 3,3; x ; va -2,1 sonlarining o’rta arifmetigi 0,6 ga teng. x ni toping.

A) -0,6 B) 0,6 C) 2 D) 0,8

5) tenglamaning ildizlari manfiy bo’ladigan k ning barcha musbat qiymatlari yig’indisini toping.

A) 13 B) 10 C) 8 D) 11

6) tenglamaning

ildizlari bo’lib, tenglikni qanoatlantirsa, a ning qiymatini toping .

A) 9 B) -1 C) 3 D) -3

7) tejngsizlikni yeching.

A) [-7;5) B) ( C) (-

D) (-7;5]

8) 24 ning barcha natural bo’luvchilari yig’indisini

toping.

A) 48 B) 60 C) 124 D) 108

9) y= funksiya grafigining Oy o’qi bilan

kesishish nuqtasi ordinatasini toping.

A) -1 B) -2 C) 1 D) 0

10) Ikkita to’g’ri chiziqning kesishishidan hosil bo’lgan qo’shni burchaklarning ayirmasi 50⁰ ga

teng.Shu burchaklardan kichigini toping.

A) 65⁰ B) 60⁰ C) 70⁰ D) 50⁰

11) = tenglamaning barcha natural yechimlari yig’indisini toping.

A) 1 B) 12 C) 10 D) 15

12) Yuzi 156 sm² ,balandliklari 4 sm va 12 sm bo’lgan parallelogrammning perimetrini toping.

A) 73 B) 104 C)96 D) 108

13) ni soddalashtiring.

A) sin4α B) 2tg4α C) cos4α D) tg4α

14) y= funksiyaning aniqlanish sohasini toping.

A) (-4;4) B) C) D)

15) 842 sonining o’ng tomoniga qanday raqam yozilsa, hosil bo’lgan son 36 ga qoldiqsiz bo’linadi?

A) 2 B) 4 C) 8 D) 6

16) y = 3x² +8x-8 funksiyaning grafigi qaysi choraklarda joylashgan?

A) Barcha choraklarda B) II, III, IV C) I, II, III

D) III, IV

17) tengsizliklar sistemasining

butun yechimlari yig’indisini toping.

A) 5 B) 30 C) 21 D) 20

18) log₂(4-2x)- > tengsizlikni yeching.

A) (-∞;1) B) (- ∞;0,5) C) (0; 1) D) (-4;-1)

19) funksiyaning eng katta

qiymatini toping.

A) 1,5 B) C) D) 3

20) Muntazam oltiburchakka tashqi chizilgan

aylananing radiusi bo’lsa ,unga ichki

chizilgan aylananing radiusini toping.

A) B) 1,5 C) 1,2 D)

21) M(x,y) nuqtaning koordinatalari yig’indisi 6ga teng. Bu nuqta va koordinat boshi orasidagi eng qisqa masofa qanchaga teng bo’ladi?

A)2 B)3 C)4,5 D)1,5

22) To’g’ri burchakli uchburchakning katetlari 48 va 14 ga teng. Kichik katetning gipotenuzadagi proyeksiyasini toping.

Javob:____________________________________23) Yig’indisi 38 va 62 sonlarining o’rta arifmetigiga teng bo’lishi uchun 62 ning 60% olinsa, 38 ning necha foizini olish kerak?

Javob:____________________________________24) Uchburchakning burchaklari 45⁰ va 60⁰ ga,

unga tashqi chizilgan aylananing radiusi R ga

teng. Uchburchakning yuzini toping

Javob:____________________________________25) sin 5x tenglamaning ildizlarini ko’rsating.
Javob:____________________________________