Мavzu:”Olimpiada masalalarini yecyishni o’rgatish”

X sinf, Matematika

II-tur

I-variant

1. 
   n ( ) ning kasr butun son bo’ladigan barcha qiymatlarini toping.
   

A) 1;2 B) 1 C) 1;2;4 D) 2

2. 
   ning qiymatini toping.
   

A) B) C) 0,2 D) 2

3)a_n=n²-2n-6 ketma-ketlikning nechanchi hadi 9 ga teng bo’ladi?

A) 5 B) 6 C) 7 D) 8
4)2a²b+3a-4ab²-6b ko’phadni ko’paytuvchilarga ajrating.

A) (a-2b)(2ab+3) B) (2ab-3)(a-5b) C) (2a²+b)(b-5a) D) (3+2ab)(a-5b)

5)m ning qanday qiymatlarida (m²-1)y+1=m tenglama yechimga ega bo’lmaydi?

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

6) tenglamaning nechta haqiqiy ildizi bor?

A) 2 B) 3 C) ildizi yo’q D) 1

7)(x+3)(x-2)<0 tengsizlikni yeching.

A) B) C) (-3;2) D)

8) 0,4(5) soni quyidagi sonlardan qaysi biriga teng?

A) B) C) D)

9) tengsizlikni yeching.

A) B) C) D) (0;1)

10)Qo’shni burchaklardan biri ikkinchisidan besh marta kichik bo’lsa, shu burchaklardan kattasini toping.

A) 130º B) 150º C) 144º D) 140º

11)Agar bo’lsa, ni hisoblang.

A) B) C) D)

12)43·15·25·37+34·48·77 yig’indining oxirgi raqamini toping.

A) 9 B) 4 C) 5 D) 0

13) 8 va 18 sonlari eng kichik umumiy karralisining natural bo’luvchilari nechta?

A) 7 B) 12 C) 9 D) 8

14) x ning qanday qiymatlarida funksiyaning qiymatlari 3 dan kichik emas?

A) (-2;5] B) C) D)

15) tenglamaning ildizlari yig’indisini toping.

A) 27 B) 36 C) 18 D) 12

16) Aylananing ga teng vatari 90º li yoyni tortib turadi. Aylananing uzunligini toping.

A) 20π B) 24π C) 26π D) 22π

17) Balandligi 32 ga teng bo’lgan rombga ichki chizilgan doiraning yuzini toping.

A) 190π B) 196π C) 200π D) 256π

18) Chiziqli o’lchovlari 3; 4 va sm bo’lgan to’g’ri burchakli parallellepipedning diagonali nacha sm?

A) 7 B) 11 C) 9 D) 10

19 ) Diagonallari 14 ta bo’lgan qavariq ko’pburchakning nechta tomoni bor?

A) 5 B) 6 C) 7 D)8

20) Ishchining mehnat unumdorligi 30% ortsa, uning ish normasini bajarishga ketadigan vaqti necha foizga qisqaradi?

A) 25 B) 20 C) D)

21) 5x²+bx-15=0 tenglamaning ildizlari x₁ va x₂ uchun 5x₁+2x₂=1 munosabat o’rinli. Agar b butun son ekanligi ma’lum bo’lsa, uning qiymatini toping.

Javob:____________________________________22) Katetlarining nisbati 2:3 bo’lgan to’g’ri burchakli uchburchak balandligi gipotenuzasini uzunliklaridan biri ikkinchisidan 0,6 ga kam bo’lgan bo’laklarga ajratadi. Gipotenuzaning bo’laklarini toping.

Javob:____________________________________23) Teng yonli trapetsiyaning kichik asosi 3 ga, perimetri 72 ga teng. Uning diagonali o’tmas burchagini teng ikkiga bo’ladi. Trapetsiyaning o’rta chizig’ini toping.

Javob:____________________________________

24) ni hisoblang.

Javob:____________________________________

25) ni hisoblang.

Javob:____________________________________