Test. I variant

TEST. I variant. 02.02.13

1.

A) 1 B) x C) –1 D)

2. cos29^o=a bo’lsa, sin32^o=?

A) a²–1 B) 2a²–1 C) D) a–1

3. 1;3;7;15;31;…;2ⁿ–1 ketma-ketlikning dastlabki n ta hadining yig’indisini toping.

A) 4ⁿ+3n B) aniqlab bo’lmaydi

C) 2(2ⁿ–1)–1 D) 2(2ⁿ–1)–n

4. 1234…798081 nech xonali son?

A) 81 B) 153 C) 90 D) 152

5. ketma-ketlikning barcha hadlari yig’indisini toping.

A) B)

C) D)

6. bo’lsa, son o’qida x va y sonlari orasidagi masofani toping.

A) B) C) D) 3

7. Bir sotuvchi 6 ta limon olgan narxida 5 ta limon sotyapti. Sotuvchi necha % foyda ko’ryapti?

A) 5 B) 10 C) 20 D) 25

8. 6 ga bo’lganda 5, 7 ga bo’lganda 6, 8 ga bo’lganda 7 qoldiq chiqadigan eng kichik natural sonni toping.

A) 168 B) 335 C) 217 D) 167

9. Soat 12^oo bo’lishidan necha minut oldin soat va minut millari orasidagi burchak 88^o bo’ladi?

A) 12 B) 16 C) 18 D) 14

10. 1⁹+2⁹+…+9⁹ yig’indining oxirgi raqamini toping.

A) 5 B) 2 C) 0 D) 7

11. Ikki ishchi ma’lum ishni birgalikda 30 kunda bajaradi. Ular 6 kun birgalikda ishlaganlaridan so’ng, birinchi ishchi qolgan ishni 40 kunda tamomlaydi. Shu ishni birinchi ishchining o’zi necha kunda tamomlaydi?

A) 75 B) 70 C) 50 D) 56

12. 2x+1+x²–x³+x⁴–x⁵+…=13/6; Agar |x|<1 bo’lsa, tenglamani yeching?

A) 1/2 B) –7/9 C) 1/2; –7/9

D) –7/9; 1/2;

13. (x–2y)³+(2y–3z)³–(x–3z)³=?

A) 3(x–2y)(3z–x)(3z–2y)

B) 3(x–2y)(2y–3z)(x–3z)

C) 3(x–3z)(2y–x)(2y–3z)

D) –3(x–2y)(3z–x)(2y–3z)

14. EKUB(a;b)=c bo’lsa, a/c va b/c sonlarning EKUBi nimaga teng?

A) aniqlab bo’lmaydi B) 1 C) c² D) 2c

15. O’zidan oldingi natural sonlar yig’indisining 1/10 qismiga teng sonni toping.

A) 32 B) 18 C) 21 D) 16

16. Bir sonning yarmini 20 %ining 15 %i P ga teng. Bu sonning 15 %ini toping.

A) P B) 3P C) 10P D) 100P

17. ni qisqartiring?

A) x²–1 B)

C) x²+1 D)

18. Agar

A) 0,16 B) 0,24 C) 0,4 D) 0,25

19. 69 ni bo’lganda qoldiq 9 chiqadigan barcha natural sonlarning yig’indisini toping.

A) 137 B) 85 C) 147 D) 87

20. 3+|x–3|=x²+2x tenglamaning ildizlari ko’paytmasini toping.

A) 6 B) –3 C) –4 D) –6

21. x²+px–18=0 tenglamaning ildizlaridan biri 2 ga teng. p:21 nimaga teng?

A) –5/12 B) 2/3 C) 1/3 D) –1/3

22.

A) 2 B) 1 C) 3 D) 1/2

23. ni soddalashtiring.

A) B) 1 C) D)

24. k ning qanday qiymatlarida

funksiya (–1;1/3) oraliqda aniqlanmagan?

A) 4 B) 3 C) 5 D) –3

25.

A) 2 B) 0 C) 0,5 D) 1

26. Ikki xonali sonning davomiga shu ikki xonali sonni ketma-ket ikki marta yozishdan hosil qilingan olti xonali son berilgan ikki xonali sondan necha marta katta?

A) 111 B) 11011 C) 10101 D) 1011

27.

A) 4 B) C) 25 D) 5

28. 6x³–11x²–3x+8=0 tenglamaning barcha haqiqiy ildizlari yig’indisini toping.

A) 4/5 B) 3/4 C) 5/4 D) 11/6

29. (0,7)^2+4+…+2n>(0,7)⁹⁰ tengsizlikni nechta natural son qanoatlantiradi?

A) 7 B) 8 C) 10 D) 9

30. y ning qanday qiymatlarida kasrning qiymati (–1;11/3) oraliqqa tegishli?

A) (–1;2) B) (0;2) C) –2;3) D) (–2;5)

31. Agar bo’lsa,

A) 4 B) –6 C) –4 D) 6

32. 1–2sin4x24x tengsizlikni yeching?

A)

B)

C)

D)

33. Lagerda dam olayotgan o’g’il bolalar va qizlarning soni teng. 13 yoshgacha bo’lgan bolalar soni 13 yoshdan katta bolalardan 2 marta ko’p. Agar 3 raqamining o’ng va chap tomoniga qanday raqam yozilsa, lagerdagi bolalar soni hosil bo’ladi?

A) 2 B) 4 C) 3 D) 6

34. Quyidagilardan qaysi biri tenglamaning ildizi emas?

A) 9 B) 1 C) 2000 D) 5

35. lg2=a, log₂7=b bo’lsa, lg56 ni a va b orqali ifodalang.

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

36. Paroxod daryo oqimi bo’ylab 48 km va oqimga qarshi shuncha masofani 5 soatda bosib o’tdi. Agar daryo oqimining tezligi soatiga 4 km bo’lsa, paroxodning turg’un suvdagi tezligini toping.

A) 24 B) 16 C) 20 D) 12
TEST. II variant. 02.02.13

1.

A) B) C)

D)

2. x ning qanday qiymatlarida ifodalar geometric progressiyaning dastlabki uchta hadidan iborat bo’ladi?

A) –1; 2 B) –2;–1 C) –2; 1 D) –2; 2

3. 2009∙2012–2010∙2011=?

A) 1 B) 0 C) 2 D) –2

4. |x|=x²–12 tenglamaning ildizlari ko’paytmasini toping.

A) –8 B) –16 C) 3 D) –9

5. Agar y–x=2 va a>0 bo’lsa tenglamalar sistemasini yeching.

A) (3;5) B) (4;6) C) (5;7) D) (2;4)

6. tengsizlikni yeching.

A) (–3;1] B) (–∞;–3)U{0}U(1;∞)

C) (–∞;–3)U{0}U[1;∞) D) (–3;0)U(0;1]

7.

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

8. bo’lsa,

A) B) C) D)

9. bo’lsa

A) 3 B) 5/3 C) 2 D) 1

10. tengsizlikni yeching.

A) (3,25;5] B) (3,25;∞)

C) (8/3;5) D) (3,25;5)

11. 1 l dengiz suvida o’rtacha 0,00001 mg oltin bor. 1 km³ dengiz suvida necha tonna oltin bor?

A) 0,01 B) 1 C) 0,1 D) 10

12. a₁= –5, d=3 bo’lsa, a₁–a₂+a₃–a₄+…+a₄₉–a₅₀+a₅₁=?

A) 60 B) 80 C) 90 D) 70

13. tenglamaning nechta haqiqiy ildizi bor?

A) 0 B) 3 C) 1 D) 2

14. a va sonlari o’zaro tub sonlar. Agar ularning ko’paytmasi 120 ga teng bo’lsa, bu sonlar EKUKini toping.

A) aniqlab bo’lmaydi B) 120 C) 180 D) 60

15. Shaxmat turnirida ishtirok etayotganlarning har biri qolgan o’yinchilar bilan ikki partiyadan shaxmat o’ynaydi. Agar turnirda hammasi bo’lib 462 partiya shaxmat o’ynalgan bo’lsa, turnir ishtirokchilari necha kishi bo’lgan?

A) 24 B) 18 C) 22 D) 20

16.

A) –8 B) C) D) 8

17. 4,2∙7,2+7,2∙9,4+13,6∙2,8=?

A) 136 B) 94 C) 126 D) 140

18. tenglamaning manfiy ildizi nechta?

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

19. x³+mx²+nx+2 ko’phad x²-3x+2 ga qoldiqsiz bo’linsa mn ko’paytmani toping.

A) –3 B) 3 C) 1 D) 2

20. n raqamining qanday qiymatlarida 80+n soni eng kam tub ko’paytuvchilarga ajraladi?

A) 3; 7 B) 3; 9 C) 3 D) 9

21. Ishorasi almashinuvchi geometric progressiyaning birinchi hadi 5 ga, uchinchi hadi 45 ga teng bo’lsa, shu progressiyaning dastlabki oltita hadi yig’indisini toping.

A) –810 B) –910 C) –930 D) 910

22. 6x³–11x²–3x+8=0 tenglamaning barcha haqiqiy ildizlari yig’indisini toping.

A) 4/5 B) 3/4 C) 5/4 D) 11/6

23. x²+px–18=0 tenglamaning ildizlaridan biri 2 ga teng. p:21 nimaga teng?

A) –5/12 B) 2/3 C) 1/3 D) –1/3

24. |x+1|+|x–4|>7 tengsizlikni qanoatlantiruvchi x ning eng kichik natural qiymatini toping.

A) 5 B) 6 C) 3 D) 1

25. Agar a²+b²+ab=203 va a²+b²=117 bo’lsa, |a+b|=?

A) 13 B) 15 C) 17 D) 12

26. Sport maktabining 3 ta seksiyasida 168 nafar sportchi bor. Konkichilar chang’ichilarning 0,8 qismini, hokkeychilar esa konkichilar va chang’ichilar umumiy sonining %ini tashkil etadi. Hokkeychilar seksiyasida nechta sportchi bor?

A) 42 B) 56 C) 140 D) 70

27. Son ikki qismga bo’lingan. Birinchi qismining 1/4 ulushi ikkinchi qismining 1/6 ulushiga teng. Agar ikkinchi qismining 1/18 ulushi 8 ga teng bo’lsa, sonni toping.

A) 390 B) 252 C) 240 D) 168

28. 72 sonining natural bo’luvchilari yi’g’indisini toping.

A) 195 B) 189 C) 172 D) 177

29. 136 sonini o’ng tomoniga qanday raqam yozilsa, hosil bo’lgan son 36 ga qoldiqsiz bo’linadi?

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

30. Arifmetik porgressiyadi a₁=3, a₄=7–x va a₁₃=5+3x bo’lsa, a₃₇=?

A) 31 B) 29 C) 25 D) 27

31. Agar

A) 0,16 B) 0,24 C) 0,4 D) 0,25

32. 69 ni bo’lganda qoldiq 9 chiqadigan barcha natural sonlarning yig’indisini toping.

A) 137 B) 85 C) 147 D) 87

33. 3+|x–3|=x²+2x tenglamaning ildizlari ko’paytmasini toping.

A) 6 B) –3 C) –4 D) –6

34. 1;3;7;15;31;…;2ⁿ–1 ketma-ketlikning dastlabki n ta hadining yig’indisini toping.

A) 4ⁿ+3n B) aniqlab bo’lmaydi

C) 2(2ⁿ–1)–1 D) 2(2ⁿ–1)–n

35. 1234…798081 nech xonali son?

A) 81 B) 153 C) 90 D) 152

36. ketma-ketlikning barcha hadlari yig’indisini toping.

A) B)

C) D)