1. ni o’nli kasrga yoyilganda, verguldan keyingi 100 raqamini toping

1-variant
1. ni o’nli kasrga yoyilganda, verguldan keyingi 100 – raqamini toping.
A) 0 B) 3 C) 9 D) 2
2.Agar kubning bir uchidan uning shu uchidan chiqmaydigan dioganaligacha eng qisqa masofa bo’lsa, uning asosidagi ikki yoqli burchakni toping.
A) B) C) D)
3. tekislik AB kesmani A uchidan boshlab hisoblaganda 5:3 nisbatda kesadi. Agar kesmaning B uchidan tekislikgacha masofa 15 sm ga AB kesmaning tekislikdagi proyeksiyasi 9 sm ga teng bo’lsa, AB ning uzunligini toping.
A) 25 B) 27 C) 35 D) 41
4. tenglama ildizlari yig’indisini toping.
A) -0,5 B) 0,5 C) 1,5 D) – 1,5
5. va sonlar tenglama ildizlari. yig’indining eng kichik qiymatini toping.
A) 1 B) 4 C) 3 D) 2
6. ni ga bo’lganda qoldiqni toping.
A) 5 B) 7 C) 8 D) 9
7. qiymatlar sohasini toping.
A) [1.6;5 ] B) [1.6;4] C) (1;4] D) [1;4]
8. Agar va bo’lsa, ni hisoblang.
A) B) C) D)
9. k ning nechta ratsional qiymatlarida tenglik bajariladi.
A) 1 ta B) cheksiz ko’p C) bunday lar yo’q D) aniqlab bo’lmaydi
10. Uchinchi koordinatalar choragi bissektrissasiga nisbatan to’g’ri
chiziqqa simmetrik bo’lgan to’g’ri chiziq tenglamasini yozing.
A) B) C) D)
11. Hisoblang:
A) 0 B) 1 C) D)
12. bo’lsa, ni toping.
A) B) C) D)
13. funksiyaning butun qiymatlari yig’indisini toping.
A) 45 B) 44 C) 17 D) 26
14. Tenglamani yeching:
A) B) C) D)
15. Tenglamani ildizlar ko’paytmasini toping.
A) B) C) D)
16. Tenglamani yeching.
A) B) C)
D)
17. Tenglamani yeching.
A) B) C) D)
18. Tengsizlikni yeching:
A) B)
C) D)
19. Qiymatlar sohasini toping.
A) [1;5] B) (1;6] C) D)
20. funksiyani nuqtaga nisbatan simmetrik bo’lgan funksiyani toping.
A) B)
C) D)
21. funksiyaga teskari funksiyaning qiymatlar sohasini toping.
A) B)
C) D)
22. funksiya qaysi choraklardan o’tadi.
A) I, IV B) I, II C) barcha choraklarda D) I
23. . Funksiyaning eng kichik musbat davrini toping.
A) B) C) D)
24. Hisoblang:
A) B) C) D) Aniqlanmagan
25. Radiusi 6 ga teng bo’lgan uchta aylana o’zaro tashqi urinishdan hosil bo’lgan egri chiziqli uchburchakka ichki chizilgan aylana radiusini toping.
A) B) C) D) 1
26. ABCD tetraedrning D uchidagi barcha yassi burchaklari to’g’ri. Shu tetraedrga kub shunday ichki chizilganki, kubning bitta uchi D nuqtada, unga qarama-qarshi uchi esa ABC yoqda yotibdi. Agar DA=5, DB=6 va DC=10 bo’lsa, kub qirrasining uzunligini toping.
A) 25/12 B) 15/7 C) 2 D)
27. Muntazam ABCDEF oltiburchakning tomoni 6 ga teng. Oltiburchakning C uchidan AE diagonalgacha bo’lgan masofani toping.
A) 8 B) 9 C) 12 D) 7
28. ABC uchburchakning tomonlari: AB=13, BC=7, AC=8. A uchidan AD bissektrisa o’tkazilgan.|BD-CD| ni toping.
A) B) C) D) 2
29. Konusning hajmi 6 sm³ ga teng. Konusning asosi va balandligi bilan bir xil o’lchovga ega silindrning hajmini toping.
A) 10 B) 16 С) 18 D) 22
30. Muntazam to’rtburchakli piramidaning hajmi 48 ga, balandligi 4 ga teng. Piramidaning yon sirtining yuzini toping.
A) 144 B) 1205 C) 60 D) 72

1	2	3	4	5	6	7	8	9	10	11	12	13	14	15
C	C	D	D	B	B	C	A	C	D	B	A	A	A	B

16	17	18	19	20	21	22	23	24	25	26	27	28	29	30
D	C	D	B	A	B	B	C	C	B	B	B	C	C	C

2-variant

1. k ning qanday qiymatida ko’phadni ga bo'lganda qoldiq 6 ga teng bo’ladi?
A) 5 B) 3 C) 4 D) 6
2. Barcha ikki xonali sonlar ko’paytmasi 3 ning qanday eng katta
darajasiga qoldiqsiz bo’linadi?
A) B) C) D)
3. tenglamaning butun yechimlari yig’indisini toping.
A) 5 B) 3 C) 2 D) 9
4. qiymatlar sohasini toping.
A) [1;3 ] B) [-2;4] C) [0;3] D) [- ;3]
5. Agar va lar tenglamaning ildizlari bo’lsa, ni hisoblang.
A) 34 B) 36 C) -2 D) 0
6. Tengsizlikni yeching:
A) B)
C) D)
7. tenglama ikkita turli ildizga ega. nechta ildizga ega?
A) 3 B) 2 C) 1 D) 0
8. Muntazam uchburchakli piramidaning balandligi 4 sm ga, asosidagi ikki yoqli burchagi ga teng bo’lsa, uning yon sirtini toping.
A) 144 B) 108 C) 72 D) Aniqlab bo’lmaydi
9. Birinchi koordinatalar choragi bissektrissasiga nisbatan to’g’ri
chiziqqa simmetrik bo’lgan to’g’ri chiziq tenglamasini yozing.
A) B) C) D)
Yig’indini hisoblang:
A) 45 B) 90 C) 0 D) 46
11. Hisoblang: ({x}-x sonning kasr qismi, [x]-x sonning butun qismi)
A) 1 B) 0 C) -1 D)
12. Hisoblang:
A) B) C) D)
13. Tenglamaning ildizlari ko’paytmasini toping:

A) 1 B) 2 C) 6 D) 4
14. funksiya qaysi choraklardan o’tadi.
A) I, IV B) I, II, III C) barcha choraklarda D) I, II, IV
15. Tenglamani ildizlar nisbatining eng katta qiymati topilsin.
A) -2 B) 10 C) D) 100
16. Tenglamani yeching.
A) B)
C) D)
17. Tenglamani yeching.
A) B) C) D)
18. Qiymatlar sohasini toping.
A) [-9;2] B) [-1;1] C) [-10; 0] D) [-7;7]
19. Funksiyaning eng kichik musbat davrini toping.
A) B) C) D)
20. Hisoblang:
A) B) C) D)
21. funksiyaga teskari funksiyaning qiymatlar sohasini toping.
A) B)
C) D)
22. tekislikka tegishli bo’lmagan AB kesmani uchlaridan tekislikgacha bo’lgan masofalar mos ravishda 7 va 12 sm ga, AB kesmaning tekislikdagi proyeksiyasi esa 12 sm ga teng bo’lsa,AB kesma uzunligi topilsin.
A) 12 B) 15 C) 13 D) 14
23. Qiymatlar sohasini toping.
A) B) C) D)
24. . funksiyani nuqtaga nisbatan simmetrik ko’rinishini toping.
A) B) C) D)
25. Uchburchakli to’g’ri prizma ning asosining tomonlari 2 ga, yon yog’i diagonali ga teng. Prizmaning hajmi topilsin.
A) B) C) D)
26. Uchburchakning tomonlari 39, 65 va 52 ga teng bolsa, unga tashqi va ichki chizilgan aylanalar markazlari orasidagi masofani toping.
A) B) C) 4 D)
27. Tetraedrning qirrasi 16 ga teng. Uning 4 ta qirrasining o’rtasidan o’tuvchi kesim yuzini toping.
A) 23 B) 44 C) 64 D) 84
28. Yuzasi bo’lgan aylanaga to’g’ri burchak ichki chizilgan. Agar uning bir tomoni ga teng bo’lsa, ikkinchi tomonini toping.
A) 10 B) 16 C) 7 D) 8
29. Gipotenuzasi c ga teng bo’lgan to’g’ri burchakli uchburchakning o’tkir burchaklarining kosinuslari yig’indisi q ga teng. Uchburchakning yuzini hisoblang.
A) B) C) D)
30. , chiziqlar bilan chegaralangan figurani OY o’qi atrofida aylanishdan hosil bo’lgan jismning hajmini toping.
A) B) C) D)

1	2	3	4	5	6	7	8	9	10	11	12	13	14	15
C	D	C	C	A	A	C	X	B	X	A	B	A	D	X

16	17	18	19	20	21	22	23	24	25	26	27	28	29	30
B	A	C	A	C	B	C	D	C	A	A	C	D	A	B

3-Variant

1. funksiyani nuqtaga nisbatan simmetrik bo’lgan funksiyani toping.
A) B)
C) D)
2. Hisoblang:
A) B) C) D)
3. funksiya qaysi choraklardan o’tadi.
A) I, IV B) I, II, III C) barcha choraklarda D) I, II, IV
4. tenglama ildizlari yig’indisini toping.
A) 8 B) 6 C) 4 D) -4
5. Tengsizlikni yeching:
A) B)
C) D)
6. 1,2,2,3,3,3,4,4,4,4,5,…. ketma-ketlikning dastlabki 100 tasining yig`indisini
toping.
A) 755 B) 845 C) 927 D) 945
7. funksiya qiymatlar sohasini toping.
A) B) C) D)
8. Tenglamani ildizlar ko’paytmasi bo’lsa, ni toping.
A) aniqlab bo'lmaydi B) C) D)
9. Tenglamani yeching.
A) B)
C) D) To’g’ri javob berilmagan
10. Tenglamani yeching.
A) B) C) D)
11. Qiymatlar sohasini toping.
A) [-16;18] B) [-12;14] C) [-1;1] D) [0;18]
12. Funksiyaning eng kichik musbat davrini toping.
A) B) C) D)
13. Hisoblang:
A) B) C) D)
14. funksiyaga teskari funksiyaning qiymatlar sohasini toping.
A) A) B)
C) D)
15. tekislik AB kesmani A uchidan boshlab hisoblaganda 5:3 nisbatda kesadi. Agar kesmaning B uchidan tekislikgacha masofa 15 sm ga teng bo’lsa, A uchidan tekislikgacha masofa topilsin.
A) 20 B) 25 C) 18 D) 9
16. Qiymatlar sohasini toping.
A) B) C) D)
17. funksiyani nuqtaga nisbatan simmetrik ko’rinishini toping.
A) B)
C) D)
18. Muntazam to’rtburchakli piramidaning balandligi 6 sm ga, asosidagi ikki yoqli burchagi ga teng bo’lsa, uning hajmi topilsin.
A) 288 B) 216 C) 144 D) 72
19. Agar bo’lsa, ni hisoblang.
A) 322 B) 373 C) 143 D) 270
20. qiymatlar sohasini toping.
A) [0;9 ] B) C) [0;3] D) [3; )
21. ning qanday eng kichik qiymatida funksiya grafigi parabola bo’lmaydi.
A) 0 B) 2 C) 5 D) 4
22. funksiya aniqlanish sohasiga tegishli ixtiyoriy x uchun bo’lsa va ekanligi ma’lum bo’lsa, ni hisoblang.
A) 5 B) -13 C) 13 D) 65
23. agar bo’lsa, nitoping.
A) B) C) D)
24. Agar bo’lsa, tenglamani yeching.
A) Ildizi yo’q B) C) D)
25. ABC uchburchakning AB tomonidan M va N nuqtalar, BN=NM=MA. AC tomonidan K va L nuqtalar shunday tanlab olindiki, AL=2LC va AK=3KL bo’lsa, ning qiymatini toping.
A) 2 B) 0,5 C) 3 D) 1

26. To’g’ri burchakli parallelepipedning diagonalining uzunligi ga teng bo’lib, uning yoqlari bilan va burchak tashkil etadi. Parallelepiped hajmini toping.

A) 1 B) 2 C) 3 D) 4
27. Hajmi 8 ga teng bo’lgan SABC uchburchakli piramida muntazam oltiburchakli SABCDEF piramidaning qismi bo’lsa, oltiburchakli SABCDEF piramidaning hajmini toping.
A) 48 B) 28 C) 38 D) 84
28. Trapetsiyaning o’tkir burchaklaridan biri 30⁰ , o’rta chizig’i 10, asosi 8 ga teng. Trapetsiyaning yon tomonlari davom ettirganda to’g’ri burchak ostida kesishadi. Trapetsiya kichik yon tomonini toping.
A) 4 B) C) 2 D) 3
29. ABC uchburchakda AC tomonga tushirilgan balandligi 2 ga AB tomoni 5 ga, ABC uchburchakka tashqi chizilgan aylana radiusi 5 ga teng bo’lsa, BC tomonining uzunligini toping. A) 2 B) 5 C) 4 D)
30. Muntazam tetraedrning qirrasi 1 ga teng. Tetraedr ichidagi ixtiyoriy nuqtadan uning yoqlarigacha bo’lgan masofalar yig’indisini toping.
A) 1 B) C) D)

1	2	3	4	5	6	7	8	9	10	11	12	13	14	15
C	A	D	B	C	D	B	C	B	B	B	A	C	B	B

16	17	18	19	20	21	22	23	24	25	26	27	28	29	30
B	C	A	A	D	B	B	B	B	B	D	A	C	C	B

4-Variant
1. funksiyaning qiymatlaridan tashkil topgan kesmaning uzunligini toping.
A) 1,75 B) 2 C) 5,25 D) 3,5
2. Agar haqiqiy sonlarda ushbu tenglama yechimga ega bo’lsa, ning qiymatini toping
A) B) C) D)
3. ko’phadning ildizlari bo’lsa, Bunda
A) B) C) 2 D)
4. tenglama nechta ildizga ega.
A) 1 B) 2 C) D) 4
5. Agar bo’lsa, ifodaning eng kichik qiymatini toping.
A) 2 B) 3 C) 1 D)
6. Hisoblang:
A) B) C) D)
7. Tengsizlikni yeching:
A) B)
C) D)
8. ni ga bo’lgandagi qoldiqni toping.
A) 0 B) C) D)
9. funksiyaning eng kichik qiymatini toping.
A) 1 B) C) D)
10. Agar bo’lsa,
A) B) C) D)
11. Agar bo’lsa, va to’g’ri chiziqlar orasidagi burchakni toping.
A) B) C) D) 0
12. tenglama ning qanday qiymatlarida 3 ta haqiqiy yechimga ega bo’ladi.
A) B) C) D)
13. Tenglamani yeching.
A) 2023 B) C) D)
14. funksiya qaysi choraklardan o’tadi.
A) I, IV B) I, II C) I D) Barcha choraklarda
15. Tenglamani ildizlar ko’paytmasi topilsin.
A) B) 5 C) D) -5
16. Tenglamani yeching.
A) B)
C) D) To’g’ri javob berilmagan
17. Tenglamani yeching.
A) B) C) D)
18. Qiymatlar sohasini toping.
A) [-1;1] B) C) D) [0;2]
19. Funksiyaning eng kichik musbat davrini toping.
A) B) C) D)
20. Kubning qarama-qarshi yon yoq dioganallari orasidagi ayqash burchakni toping.
A) B) C) D)
21. funksiyaning qiymatlar sohasini toping.
A) B) C) D)
22. tekislik AB kesmani A uchidan boshlab hisoblaganda 2:3 nisbatda kesadi. Agar kesmaning A uchidan tekislikgacha masofa 10 sm ga teng bo’lsa, B uchidan tekislikgacha eng qisqa masofa topilsin.
A) 15 B) 12 C) 6 D) 18
23. Qiymatlar sohasini toping.
A) (-2;-1] B) C) D)
24. . funksiyani nuqtaga nisbatan simmetrik ko’rinishini toping.
A) B) C) D)
25. Teng yonli uchburchakning yon tomoni 20, asosi 24 ga teng. Uchburchakning medianalari kesishish nuqtasidan ichki chizilgan aylana markazigacha bo’lgan masofani toping.
A) 1 B) C) D)
26. Muntazam uchburchak ichidagi P nuqta uchun bo’lsa, u holda unga ichki chizilgan aylana radiusini toping.
A) 4 B) C) D)
27. Radiusi 3 ga teng bo’lgan aylana yon tomonlari 3 va 7 ga teng bo’lgan trapetsiyaga ichki ichizilgan. Trapetsiya yuzini toping.
A) 30 B) 15 C) 63 D) aniqlab bo’lmaydi
28. Agar prizmaning barcha qirralari soni 60 ga teng bo‘lsa, u holda yoqlarining soni nechta?
A ) 20 B) 21 C) 22 D) 24 E) 25
29. Asosining tomonlari 7, 24 va 25 bo’lgan uchburchakli piramidaning apofemalari 5 ga teng bo’lsa, uning hajmini toping.
A) 112 B) 140 C) 84 D) 120
30. Radiusi 5 ga teng bo’lgan doiraning gradusli sektoridan konus yasaldi. Konusning hajmi topilsin.
A) B) C) D)

1	2	3	4	5	6	7	8	9	10	11	12	13	14	15
A	A	A	D	A	D	A	B	B	A	A	A	D	D	C

16	17	18	19	20	21	22	23	24	25	26	27	28	29	30
B	C	B	B	C	B	A	A	B	D	D	A	C	A	B