X sinf, Matematika ii-tur i-variant


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математика олимпиада


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:____________________________________


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