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2015-yil math
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16-VARIANT
1.
512 log
729 9 ni hisoblang. A) 7 B) 8 C) 5 D) 9 2.
0 27 3 x x tenglamaning ildizlari yig`indisini toping. A) 33 B) 55 C) 48 D) 36 3.
0 3 2 dx x ni hisoblang. A) 2
B) 3 2 C) 5 3 D) 4 1 4. x ning qanday qiymatlarida ifoda ma`noga ega?
x 100
... 4 3 2 1 50 A) x<0 B) x=0 C) x>0 D) R x
5.
x x x f 5 cos sin 24 uchun funksiyaning toping. A)
C x x 6 cos
2 4 cos 3 B) C x x 6 sin
2 4 sin 3 C) C x x 6 cos 2 4 cos 3 D) C x x 6 sin
2 4 sin 3
6. 3 3 5 3 1 2 3
x tenglama ildizlarining yig`indisini toping. A) -2 B) 1 C) -1 D) -3 7. Tomonlarining soni dioganallari sonidan 1,5 marta kam bo`lgan qavariq muntazam ko`pburchakning bitta ichki burchagi va har bir uchidan bittadan olingan tashqi burchaklari yig`indisini toping. A)
B) 720 C) 780 D) 450 8.
2 2 6 11 21 6 x x x x y funksiyaning eng katta qiymatini toping.
A) 7 B) 6 C) 21 D) 5 9.
40 45 50 tg tg tg ni hisoblang. A) 1 B) 2 C) 0,5 D) 0 10. Tomonlari 120,112 va 104 bolgan uchburchakka tashqi chizilgan aylana radiusini toping. A) 63 B) 60 C) 65 D) 64 11. To`g`ri burchakli uchburchakning bir burchagi 52
tushirilgan balandlik va mediana orasidagi burchakni toping.
A) 7 B) 10 C) 17 D) 24 12. a ax x 15 5 2 tenglama a ning qanday qiymatlarida kamida 2 ta ildizga ega? A)
; 0 B) 4 , 2 ; 1 C) ; 1 D)
; 4 , 2
13. 4 log
4 1 7 log 3 5 125 5 ni hisoblang. A) 5,5 B) 2,5 C) 4,5 D) 3,5 14.
20 40 60 80 tg tg tg tg ni hisoblang. A) 3
3 3 C) 3 D) 1 15. A(4;6), B(2;1),C(6;1) nuqtalarni tutashtirishdan hosil bo`ladigan uchburchak yuzini toping. A) 15 B) 10 C) 8 D) 20 16.
2 1 log 3 1 x tenglamani yeching. A) -9 B) -3 C) -27 D) -81 17.
1 2 7 3 2
x x ko`phadni 1 2
x x ko`phadga bo`lgandagi qoldiqni toping. A) -5x B) 2-x C) x-2 D) 5x 18. Tenglama ildizlari yig`indisini toping:
0 log
log 3 2 2 2
x
A) -7 B) -9 C) -1 D) -8 19. Bir sonning 25% ortig`i shu sonni 25% kamidan necha foiz ko`p? A) 3
66 6 B) 70 C) 50 D) 3 2
20. Ifodani soddalashtiring.
2 1 2 1 2 1 2 1 2 1 2 1 4 2 1 2 1 2 1 2 1 2 2 1 : : 2 1 2 1 b a b a b b a a b b a b a a a b a b b
A) 1 B) b a C) 2 1 2 ab b a D) 2 1 2 ab b a
21. 0 38 10 14 2 2 y y x x tenglama bilan berilga aylana uzunligini toping. A)
14 B) 13 C) 12 D) 10
22. 2 2 2 38 38 38 38
x x x x tenglama haqiyqiy oldizlari yig`indisini toping. A) -39 B) -40 C) -37 D) -38 23.
2 8 : 1 29 ni hisoblang. A) -3 B) 6 28 C) 3 D) -5 24. Muntazam parallelepipedning balandligi asosning tomonidan 6 marta katta. Parallelepipedning diagonali asos tekisligi bilan qanday burchak tashkil etadi? A)
60 B) 6 1 arccos C) 30 D) 3 2 1 arccos
25. Rasimda
` funksiya grafigi tasvirlangan.
x f y va x f y ` funksiyalarning grafigi mos ravishda 2 0 x va
2 1 1 x abssisali nuqtalarida o`ttkazilgan urinmalar orasidagi o`tkir burchakni toping.
A)
2 B) 4 C) 3 D) 12 5 26. Ikki xonali sonning raqamlari orasiga 2 ni yozib uch xonali son hosil qilindi va u ikki xonali sondan to`qqiz marta katta bo`ldi. Berilgan sonning raqamlar yig`indisini toping.
A) 7 B) 8 C) 6 D) 3 27.
7 2 3 3
x tenglamani yeching. A) 16
2 B) 16 1
; 6 C) D) 6 28. 4
9 10 25 4 5 2 ko`paytma necha xonali son bo`ladi? A) 17 B) 20 C) 19 D) 18 29.
1 8 2 3 4 bx ax x x ko`phad biror ko`phadning kvadrati bo`lsa, a va b koeffitsiyentlarning barcha qiymatlari yig`indisini toping. A) 26 B) 32 C) 48 D) 27 30. Parallelogram diagonallarining uzunliklari 6 va 8 ga teng bo`lib, ular o`zaro perpendikulyar bo`la unga ichki chizilgan aylana radiusi topilsin A) 1,8 B) 1,2 C) 3 D) 2,4 31. Quydagi axborot uzatish o`lchovi birliklari keltirilgan. Ular kamayish tartibida joylashishi uchun mos tartiblari to`g`ri yozilgan javobni aniqlang. a) 1 Megabit/sekund; b) 1 Kbayt/sekund c) 1 bayt/sekund d) 1 Kilobit/sekund A) b,a,d,c B) a,b,c,d C) a,b,d,c D) a,d,b,c
32. Turli sanoq sistemalarda berilgan sonlar yig`indisini aniqlang. 10
1201 2566
A) 2 1 1100010011 B) 16
A
C)
10 2599
D)
8 5043
33. Kompyuterning va kompyuter tarmoqlarining ishini ta`minlovchi dasturlar majmuasi qanday nomlanadi? A) amaliy dasturiy ta`minot B) tizim (sistema)li dasturiy ta`minot C) yordamchi dasturiy ta`minot D) dasturlar yaratish vositalari 34.MS Excelda
2 ; 2 3 3
СТЕПЕНЬ ning
qiymatini toping. A) 81 B) 144 C) 12 D) 9 35. Web-sahifadagi BODY tegida BGCOLOR parametric qanday maqsadda ishlatiladi? A) veb sahifada matn rangini aniqlab beradi B) boshqa hujjatlarga o`tish uchun aloqa bog`lovchi murojaatni o`zida saqlaydi C) asosiy matn va axborotni belgilaydi D) veb sahifada fon rangini aniqlab beradi. 36. Paskal tilida yozilgan ifodaning qiymatini aniqlang. Round(turnc(3,5)+0,7) A) 3 B) 4 C) 4,2 D) 3,7
17-VARIANT 1. 1 log 2 3 log 3 log
6 2 2 2 3 7 ifodaning qiymatini toping. A) 3 B) 2 C) 4 D) 1 2. 5
2 1 a a bo`lsa, a a a 3 2 4 ning qiymatini toping. A) 2 va -0,125 B) 1,5 va 2,5 C) 0,125 D) 1,5 3. Rasimda
2 funksiyaning grafigi tasvirlangan bo`lsa, berilgan ma`lumotlarga ko`ra y(-3) ni hisoblang.
A) 2 B) 1 C) -1 D) 3 4. Hisoblang: 41 cos 2 1 37 sin 53 sin 2 A) 2 B) 2
1 D) 1 5.
8 4 6 6 1 5 , 0 4 , 1 5 , 2 8 , 0 : 20 : 36 ni hisoblang. A) 2,1 B) -5,1 C) 5,1 D) 4,1 6. va b natural sonlar 11 5
b b a shartni qanoarlantirsa, a+b ifodaning eng kichik qiymatini nimaga teng bo`ladi? A) 17 B) 16 C) 13 D) 14 7. 125
log 6 log 3 27 log 2 5 1 6 1 3 1 ni hisoblang. A) 0 B) -12 C) -6 D) 6 8. 0
3 3 2 x x tenglama ildizlari ayirmasining kvadratini toping. A) 1225 B) 361 C) 64 D)
piramidaning hajmi 96 3
bo`lsa, uning balandligi (sm) toping.
A) 6 B) 12 C) 18 D) 8 10. Sutda 16% qaymoq, qaymoqdan 25% saryog` olindi. 100 kg saryog` olish uchun necha kg sut kerak bo`ladi? A) 2000 B) 1600 C) 2500 D) 2400 11.
4 cos sin 2 tenglama ildizini toping. -2 4
bx ax y 2
A) Z k k , 2 B)
C) Z k k , 2 2 D) Z k k , 2
12. Rasimda
x f y ` funksiya grafigi tasvirlangan.
x f y funksiya grafigi 3 0 x abssisali nuqtasiga o`tkazilgan urinmaning burchak koeffitsiyentini toping.
A) 3 B) 0 C) 1 D) -1 13.
1 21 21 61 17 21 5 log 1 log
4 3 cos 5 2 3 3 3 x x x x x x
tanglamaning barcha butun yechimlarining yig`indisi natural bo`luvchilari yig`indisi topilsin. A) 30 B) 21 C) 18 D) 10 14.
x f x x g 3 kamayuvchi funksiya bo`lsa, quydagilarning qaysi biri har doim to`g`ri? A) x f x x f x ` 2 B)
x f x f ` C)
x f x f x 3 ` D)
x f x f ` 15. Diagonallarining soni tomonlari 3 marta ko`p bo`lgan qavariq muntazam ko`p burchakning tashqi burchaklaridan birini toping. A)
B) 35 C) 30 D) 45 16.
6 1 6 7 3 1 3 2 3 5 2
b b b b ni soddalashtiring. A) 1 b b B) 1 C) 2 1
1 b b D) 2 2
b b
17. ABCD parallelogrammning A va D uchlari M tekislikkda B va C uchlari uning tashqarisida, AD=10 sm, AB=15 sm, AC va AD diagonallarining M tekislikdagi proeksiyalari mos ravishda 13,5 sm va 10,5 sm ga teng.Paralleogrammning diogonallarini toping. A) 20 sm; 17 sm B) 19 sm; 18 sm C) 20 sm; 16 sm D) 19 sm; 17 sm 18. m ning nechta qiymatida 2 1
3 x m x x m x
tenglama bitta ildizga ega? A) 3 B) 4 C) 2 D) 1 19. Ayanaga tashqaridagi P nuqtadan PA urinma o`tkazilgan. P nuqta va aylananing O markazining tutashtiruvchi kesma aylanani B nuqtada kesib o`tadi. Agar PA=7, PB=5 ga bo`lsa, aylana radiusini toping. A) 2,7 B) 2,6 C) 2,5 D) 2,4 20. 0
4 2 a x x tenglama a ning qanday qiymatlarida ikkita manfiy va bitta musbat ildizga ega?
A) B) 6 C) 3 D) -2 21. Katetlari a va b bo’lgan to’g’ri burchakli uchburchak bilan umumiy to’g’ri burchakga ega bo’lgan kvadrat ichki chizilgan. Kvadratning perimetrini aniqlang. A)
b a ab 2 B) b a ab C) b a ab 4 D) b a ab 2 22Yarim perimetri 12 ga, gipatenuzasi 10 ga teng bo`lgan to`g`ri burchakli uchburchakka ichki chizilgan aylana radiusini toping. A) 3 B) 2,5 C) 1,5 D) 2 23. Ishchining maosh 900000 so`m edi. Uning maoshi ketma-ket ikki marta bir xil foizga oshgandan so`ng 1190250 so`z bo`ldi. Maosh har safar necha foizga oshgan? A) 18 B) 15 C) 12 D) 14 24.
x x x f 6 sin 2 sin
16 uchun boshlang`ich funksiyani toping.
A) C x x 8 cos
4 cos
2 B) C x x 8 sin
4 sin
2
C)
8 cos 4 cos
2 D) C x x 8 sin
4 sin
2
25. 2015 2013
ni 10 ga bo`lgandagi qoldiqni toping. A) 1 B) 9 C) 3 D) 7 26.
x x x 1 2 tenglamani yeching. A) 2 B) C) 0 D) 0;2 27. Rasimda berilganlarga ko`ra aylananing radiusi r topilsin.
A) 4 B) 2 5 C) 2 7 D) 2 3
28. x ning qnday qiymar(lar)ida barcha y lar uchun 0 3 8 12 2 xy y x tenglik o`rinli bo`ladi? A) 3
yoki
4 1 B) 2 3 yoki 4 1
C) 2
D) 3 2 29.
5 lg 3 1 lg 2 1 lg 3 1 5 lg 1
tenglamani yeching. A)
3 5 16 B) 3 5 5 16 C) 5 16 D) 30. 4 9 4 2 2 4 9 2 2 x x x x x tenglamani yeching. A) 0 B) } 2
2 { C) 2 ; 2 D) } 2
0 ; 2 {
31. Ikkilikda kodlangan quydagi axborotda nechta turli belgi borligini aniqlang:
0 0 ; y x y x 2 5
5 r r 01011010110011010101101011100010 A) 4 B) 2 C) 3 D) 5 32. Hisoblang va javobni 10 lik sanoq sistemada ifodalang:
. 200 1000 * 1001111 8 2 2
A) 759 B) 766 C) 762 D) 760 33. MS Excel 2003 da quydagilardan qaysi biri statistic funksiya emas? A) СУММ B) СРЗНАЧ C) MAKC D) МИН 34. MS Excel 2003 dasturida berilgan
3 ; 30 ; 15 985 , 6 MAKC ЦЕЛОЕ formulaning natijasini aniqlang. A) 23 B) 25 C) 24 D) 22 35. HTML teglari necha turga bo`linadi? A) 2 turga: uzun teglar va qisqa teglar B) 2 turga: juft teglar va juft emas teglar C) 3 turga: ochiq teglar va yopiq teglar D) 2 turga: soda teglar va murakkab teglar 36. Paskal tilida quydagi dastur lavhasi takrorlanish operatoridagi takrorlanishlar sonini aniqlang: I:=0; Repeat I:=I+1 Until 0>I; A) 1 marta B) cheksiz marta C) 0 marta D) 2 marta
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