9−sinf 1−variant


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9-sinf olimpiada

9−sinf 2−variant
1) Bahodiro`zidagi 411 donayong`oqni 4 ta bolagabo`libberdi. Agar SanjarvaO`ktamningolganyong`oqlarisoni 2 va 3 sonlarigato`g`riproporsional ,O`ktamvaSohibningyong`oqlari 7 va 5 sonlarigateskariproporsional , SanjarvaG`anisherningyong`oqlariesa 9 va 4 sonlarigateskariproporsionalekanligima`lumbo`lsa, G`anishernechtayong`oqolgan?
A) 126 B) 180 C) 145 D) 135
2) Agar f(x) = (a + b − 4)x3+ 2x2+ (b − 3)x +6 juftfunksiyaberilganbo’lsa, f(b) ningqiymatini toping.
A)27B) 24 C) 7 D)20
3) Agar a-b =|x| + 3 bo’lsa a va b laruchunto’g’rimunosabatnianiqlang.
A) a>b B) a ≤ b C) a4) Agar x2−8x+20z+4z2+41=0 tengliko`rinlibo`lsa, xzni toping.
A) −10 B) −20 C) −40 D)− 5
5) Hisoblang:
cos 10o − 2 cos 50o − cos 70o
A) sin40o B) cos40oC) –sin40o D) –cos40o
6) 20 dan 250 gachasonlarichida 4 gabo`linadigan, lekin 6 gabo`linmaydigannechta natural son bor?
A) 48 B) 30 C) 39 D) 33
7) Agar a= va b= ekanligi ma`lum bo`lsa, quyidagi ifodaning qiymatini toping.
− A) 2 B) 4 C) 0 D) −4
8) tenglamaning butun sonlardan iborat yechimlari juftligi nechta?
A) 6 B) 4 C) 7 D) 5
9.) Kasrningsuratvamaxrajimusbatsonlarbo`lsin. Agar suratni 14% gaorttirsak, maxrajni 20% gakamaytirsak, kasrningqiymatiqandayo`zgaradi?
A) 50 % ortadiB) 42,5% ortadi C) 12% ortadi D) 50% kamayadi.
10) 3. P(x−2) ko`phadni x+3 gabo`lsak, 1 qoldiqqoladi. P(x) ko`phadni x+5 gabo`lgandagiqoldiqni toping.
A) 1 B) 15 C) −5 D) 0
11)Tenglamaningbutunildizlariyig`indisini toping.
A) 0 B) −81 C) 1 D) −1
12) 5) 0; 1; 3; 5; 8 raqamlariyordamidayozishmumkinbo`lgan ( harbirsondagiraqamlarturlicha) barcha 4 xonalisonlarnechta?
A) 48 B) 96 C) 24 D)60
13) A, B, C, D nuqtalaraylanadaketma−ketjoylashtirilgannuqtalar. CD−aylana diametric. DB vatar ADC burchaknitengikkigabo`ladi. Agar DCBburchak 65ogatengbo`lsa, DCA burchakni toping.
B) C) D)
14) AB kesmauchlarikoordinatalarboshiganisbatansimmetrikbo`lgannuqtalardajoylashgan. C(1;2) nuqtauni 2:3 nisbatdabo`ladi. A va B nuqtalarkoordinatalariko`paytmasini toping.
A) 16 B) 2500 C) 625 D) 100
15) ABCD trapetsiyaningyuzi 36 gateng, asoslari DC=6, AB=2. BC tomonidan E nuqtaolinganbo’lib, BE=2EC bo’lsa, ADE uchbutchakningyuzini toping.
A)16 B)14 C)12 D) 21
16) Yon tomoni 8 gatengbo’lgantengyonliuchburchakningasosigatushirilganmedianasi 6 gatengbo’lsa, uningasosini toping.
A) B) 2 C) 4 D)
ABC uchburchak medianasi hosil qilgan uchburchaklardan biri muntazam uchburchak bo`lsa, ABC uchburchakning eng katta tashqi burchagini toping.
B) C) D)
18) a∙b∙c=7 bo`lsa ko`paytmaning qiymatini toping.
A) 2/3 B) −6/7 C) 1 D) −5/3
19) Agar x2−8x+20z+4z2+41=0 tengliko`rinlibo`lsa, xzni toping.
A) 10 B) 20 C) 40 D) 5
20) Agar bo`lsa, ning qiymatini toping.
A)4 B)5 C)8 D)7
21) x2─(k+1)x+k2+k─32 = 0 tenglama ildizlaridan biri 2 dan katta, ikkinchisi esa 2 dan kichik bo’lsa, k ning butun qiymatlari yig’indisini toping.
A) 5 B) 4 C) 6 D) 0
22) Qandaydir a, b uchun cos4x=acos4x+bcos2x+1 ayniyat bajarilsa, b ni toping.
A) ─8 B) 4 C) ─4 D) 8
23) To’gri burchakli ABCD trapetsiyaning B va C burchaklari to’gri. AB = 4, BC = 3 va DC = 2. Trapetsiyaning D uchidan AC diogonaligachabo’lganmasofani toping.
A) 3 B) 1,2 C) 2,4 D) 2
24) ABC uchburchakning BC tomonida D nuqta olingan.Agar BD=16, DC=4 va AB=AD=10 bo’lsa, ADC uchburchakning yuzini toping.
A)12 B)14 C)10 D)16
25) A(0;1) va B(5;-3) nuqtalarberilgan.Agar B nuqta AC kesmaningo’rtasibo’lsa, C nuqtakoordinatalar
yig’indisini toping.
A)3 B)2,5 C)2 D)4


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