Matematika Variant 110

Matematika Variant 110
1.Agar kamayuvchi 26 ta ayriluvchi 12 ta orttirilsa, ayirma qanday o’zgaradi? A) 14 ta ortadi B)4 ta kamayadi C) 4 ta ortadi D) 28 ta kamayadi
2.Xaritada ikki shahar orasidagi masofa 3,5 sm gat eng. Xaritadagi masshtab 1:2000000 bo’lsa, shaharlar orasidagi haqiqiy masofa necha km bo’ladi? A) 7 B) 140 C) 700 D) 70
3. x -x-6 kvadrat uchhadni chiziqli ko’paytuvchilarga ajrating. A) (x+3)(x-2) B) (x-3)(x+2) C) (x+3)(2-x) D) (x+2)(3-x)
4. (x +1)(x -x +1)-(x²-1)²+x⁵+x³+x ni soddalashtirgandan keyin hosil bo’lgan ko’phadning nechta hadi bo’ladi? A) 4 B) 5 C) 6 D) 3
5. k parametrning qnday qiymatlarida tenglamalar sistemasi yechimga ega emas? A) 2 B) 9 C) 6 D) 3
6. tenglamaning ildizlaridan biri gat eng. Uning ikkinchi ildizini toping. A) 2 B) C) D) 24
7. tenglamani yeching. A) [2;3) B) ( ;2] C) ( ;2] D) [2;3]
8.Arifmetik progressiya uchun quyidagi formulalardan qaysilari noto’g’ri? 1) 2) 3) A) 1;2 B) 2;3 C) 2 D) 1
9. ni hisoblang. A) B) C) 1 D)
10. Qo’shni burchaklardan biri ikkinchisdan ga katta. Shu burchaklardan kattasini toping. A) B) C) D)
11. Quyidagi tasdiqlarning qaysilari noto’g’ri? 1) radiusi R ga, markaziy burchagi ga teng doiraviy sektorning yuzi formula bilan hisoblanadi; 2)tomonlari va ga, ular orasidagi burchaklaridan biri ga teng bo’lgan parallelogramning yuzi formula bilan hisoblanadi; 3) diagonallari va ga , ular orasidagi burchagi ga teng ixtiyoriy qavariq yo’rtburchakning yuzi formula bilan hisoblanadi. A) 2;3 B) 1;2 C) 1;2;3 D) 1;3
12. Tekislikka og’ma va perpendikular tushirilgan. Og’maning tekislikdagi proyeksiyasi 63 ga, perpendikulyarning uzunligi 16 ga teng. Og’ma va perpendikular orasidagi burchakni toping.
A) B) C) D)
13 . 1+ ni soddalashtiring. A) 1 B) C) 1
D)
14. Agar avtomobil tekis harakatda 3 soatda 324 km ni bosib o’tsa, 10 sekundda necha metr masofani bosib o’tadi?A) 300 B) 200 C) 100 D) 600
15. va 3, va 4 sonlar proporsiyaning ketma-ket hadlari bo’lsa, kasrning qiymatini toping. A) B) C) D)
16. funksiya uchun quyidagilardan qaysi biri o’rinli bo’ladi? A) toq ham, juft ham emas B) toq funksiya C) o’suvchi funksiya D) juft funksiya
17. 0 teksiz likning eng katta va eng kichik butun yechimlari yig’indisini toping.A) -2 B) 1 C) 0 D) -1
18. ni hisoblang. A) B) C) D) ln(e +2)
19. bo’lsa, ni orqali ifodalang. A) B) C) D)
20. Muntazam oltiburchakka tashqi chizilgan aylananing radiusi bo’lsa, unga ichki chizilgan aylananing radiusini toping. A) B) 1,5 C) 1,2 D)
21. Yuzi 150 sm² , balandligi 4 sm va 12 sm bo’lgan parallelogramning perimetrini toping. A) 73 B) 104 C) 96 D) 108
22. Muntazam to’rtburchakli piramidaning balandligi 12 ga, asosining tmoni 7ga teng. Uning apofemasini toping. A) 13,5 B) 9 C) 12,5 D) 25
23. Asosining radiusi 16 sm va balandligi 8 sm bo’lgan konus asosidan 3 sm masofada asosiga parallel tekislik bilan kesilgan. Kesimning yuzini (sm²) toping. A) B) C)
D)
24. . A) B) 3 C) D)
25. sin( ) + sin( ) = tenglamaning ildizlarini ko’rsating.
A) C) D) 26. Korxonada mahsulot ishlab chiqarish birinchi yili 20% ga, ikkinchi yili 15% ga ortdi. Mahsulot ishlab chiqarish ikki yil mobaynida necha foizga ortgan? A) 28 B) 38 C) 32 D) 35
27. Agar B(2;7) nuqta parabolanong uchi bo’lsa, k va m ning qiymatini toping.
A) k=2, m= B) C) D)
28. tenglamani yeching. A) 13 B) 26 C) 16 D) 18
29. tenglamaning barcha natural yechimlari yig’indisini toping.
A) 40 B) 36 C) 28 D) 25
30. Tomonlari 16; 30 va 34 bo’lgan uchburchakka tashqi chizilgan aylananing radiusi necha sm?
A) 18 B) 17 C) 19 D) 16
31. Parallelogramning burchaklaridan biri ga teng. Uning 9 ga teng bo’lgan diagonali tomoniga perpendikular. Parallelogramning perimetrini toping. A) 9( ) B) C) D)
32. va D( ) nuqtalar berilgan. va vektorlar orasidagi burchakni toping. A) B) C) D)
33. funksiya ning qanday qiymatlarida aniqlangan?
A) (0; ] [ ) B) [ ] C) (0; ) D) (0; ]
34. tenglamani yeching. A) 1 B) 10 C) 5 D)
35.Teng yonli trapetsiyaga ichki chizilgan aylananing markazi ustki asosining uchidan 3 ga, pastki asosining uchidan 4 ga teng masofada joylashgan. Shu trapetsiyaga ichki chizilgan doiraning yuzini toping. A) 5,76 B) 2,56 C) 6,76 D) 3,24
36.Hajmi 8 ga teng bo’lgan muntazam tetraedrning balandligini yoping. A) 4 B) 2 C) 3
D) 4
Variant 111
1.Agar kamayuvchi 30 ta va ayriluvchi 12 ta kamaytirilsa, ayirma qanday o’zgaradi?
A) 24 ta ortadi B) 18 ta kamayadi C) 12 ta kamayadi D) 12 ta ortadi
2. 2,014: 0,19+2,5^.0,3 ni hisoblang. A) 11,35 B) 9,85 C) 12,85 D) 8,85
3.16 ni ko’paytuvchilarga ajrating. A) ( B)
C) D)
4. ko’phadni ko’paytuvchilarga ajrating. A)
B) C) D)
5. m ning qanday qiymatlarida tenglik o’rinli bo’ladi? A) B)
C) D) m=3
6. va tenglamaning ildizlari bo’lsa, ning qiymatini toping. A) B) C) 176 D) 280
7. tengsizlikni yeching. A) [1; 3) B) ( ) C) ( ;1) D) (1; 3)
8.Quyidagi ketma-ketliklardan qaysilari geometrik progressiyani tashkil etadi?
1) ; 2) _n= ⁿ 3) b_n=( )ⁿ +1 .A) 1;2 B) 1;3 C) 1 D) 3
9. ( ) ni hisoblang. A) 3 B) C) 6 D) 13
10. Burchakning bissektrisasi uning tomoni bilan li burchak tashkil etsa, burchakning o’zini toping. A) B) C) D)
11. Quyidagi tasdiqlarning qaysilari to’g’ri? 1) tomonlari va ga ,ular orasidagi burchaklaridan biri a gat eng bo’lgan parallelogramning yuzi formula bilan hisoblanadi; 2) tomonlari a va b ga , ular orasidagi burchagi ga teng bo’lgan uchburchakning yuzi formula bilan hisoblanadi; 3) diagonallari va ga, ular orasidagi burchagi ga teng ixtiyoriy qavariq to’rtburchakning yuzi formula bilan hisoblanadi. A) 2;3 B) 1;2 C) 1;2;3 D) 1;3
12.Tekislikka tushirilgan og’ma va perpendikular orasidagi burchak ga teng. Og’maning uzunligi 74 ga teng. Perpendikularning uzunligini toping. A0 70 B) 24 C) 54 D) 48
13. ni soddalashtiring. A) B) C) D)
14. 420 : (60-1000 :x)=12 dan x ni toping. A) B) 8 C) 36 D) 40
15. O’zaro teskari sonlarni aniqlang. 1) va ; 2) va ; 3) va ;
4) va . A) 1;2;3 B) 1;3;4 C) 1;3 D) 2;3;4
16. Quyidagi parapolalardan qaysi biri OX o’qiga urinadi? 1)
2) 3) 4) A) 2 B) 1 C) 4 D) 3
17. Quyidagi tengsizliklardan qaysilari o’zaro teng kuchli? 1) 2)
3) 4) A) 1;2;4 B) 2;3;4 C) hammasi D) 1;3;4
18 ni hisoblang. A) B) C) D)
19. Qaysi javobda manfiy son ko’rsatilgan? A) B) C) D)
20. aylanadagi nuqta, nuqta aylananingmarkazi bo’lsa, aylananing radiusini toping. A) 16 B) 15 C) 25 D) 17
21. Ikkita o’xshash ko’pburchak yuzlarining nisbati 9:4 ga teng. Kichik ko’pburchakning perimetrini toping. A) 8 B) 9 C) 12 D) 6
22. Prizmaning asosi tomoni 3 bo’lgan muntazam oltiburchakdan, yon yoqlari kvadratlardan iborat. Prizmaning katta diagonalini toping. A) 10 B) 15 C) 12 D) 7
23. Kubning har bir yog’ini yuzi 27 marta orttirilsa, unign hajmi necha marta ortadi? A) 54
B) 27 C) 27 D) 81
24. Quyidagi ayirmalardan qaysi birinign qiymati manfiy? A)
B) C) D)
25. tenglamaning yechimini toping.
A) 10 B) 8,5;9,5 C) 8;13 D) 10
26.Nodirada bor pulning qismi Jahongirdagi pulning ga teng. Nodir pulining necha foizini Jahongirga bersa, ularning pullari teng bo’ladi? A) 37,5 B) 25 C) 17,5 D) 12,5
27. funksiyaning qiymatilari to’plammini toping. A) ( )
B) C) (-1;0) D)
28. tenglamaning natural sonlardagi yechimida z nimaga teng? A) 3 B) 4 C) 7 D) 2
29. k ning nechta natural qiymatida tenglama ildizga ega bo’lmaydi?A) 6 B) 5 C) 8 D) 7
30.Gipotenuza 75 ga teng bo’lgan to’g’ri burchakli uchburchakning katetlari nisbati 4:3 ga teng. Gipotenuzaga tushirilgan balandlik uni qanday kesmalarga ajratadi? A) 50 va 25 B) 48 va 27 C) 40 va 30 D) 60 va15
31. Parallelogramning tomonlari 20 va 7 ga teng. Uning katta tomoniga yopishgan burchaklarning bissektrisalari qarama-qarshi tomoni uch qismga ajratadi. Shu qismlardan eng kichiginig uzunligini toping. A) 4 B) 2 C) 6 D) 5
32. Agar va vektorlar berilgan bo’lsa, va vektorlar orasidagi burchakni toping. A) B) arccos C) D)
33. tenglamaning [0;2 ] kesmada nachta ildizi bor? A) 1 B) 0 C) 4 D) 3
34. tengsizlik x ning qanday qiymatlarida o’rinli?
A) (2;4) B) C) D)
35.Radiusi bo’lgan doiraga tashqi chizilgan teng yonli trapetsiyaning asosidagi burchagi . Trapetsiyaning yuzini toping.A) 3 B) C) D) 10
36.Sharga konus ichki chizilgan. Konusning yasovchi asosining diametriga teng. Shar hajmining konus hajmiga nisbatini toping. A) 8: 3 B) 32: 9 C) 27: 4 D) 16: 9