11-SINF MATEMATIKA (ALGEBRA VA GEOMETRIYA). BSB va CHSB ga tayyorgarlik to'plami: 1–4-choraklar bo'yicha mashq testlari, javoblari bilan (2026–2027 o'quv yili)

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11-SINF MATEMATIKA (ALGEBRA VA GEOMETRIYA). BSB va CHSB ga tayyorgarlik to'plami: 1–4-choraklar bo'yicha mashq testlari, javoblari bilan (2026–2027 o'quv yili)

Sotib olish

Imtihon tuzilishi va yo'riqnoma
• Ushbu tayyorgarlik to'plami 11-sinf o'quvchilari, ota-onalar, fan o'qituvchilari va repetitorlar
uchun mo'ljallangan: Matematika (algebra va geometriya) fanidan BSB (bo'lim bo'yicha
summativ baholash) va CHSB (choraklik summativ baholash) ga tayyorlanish uchun mashq
testlari.
• Savollar 4 ta chorak bo'yicha guruhlangan; har bir chorakda 5 ta mashq varianti bor. Har bir
variant ichida savollar bo'limlar (mavzular) bo'yicha ajratilgan — BSB ga tayyorlanishda kerakli
bo'limni, CHSB ga tayyorlanishda esa to'liq variantni ishlang.
• To'plam: 20 ta variant, jami 500 ta mashq testi. To'g'ri javob har bir savol ostida yashil rangda,
hujjat oxirida esa variantlar bo'yicha javoblar kaliti berilgan.
• Tavsiya: avval javoblarni yopib, variantni vaqt belgilab ishlang (odatda 40–45 daqiqa), so'ng
kalit bilan tekshirib, xato qilgan mavzularni darslikdan qayta o'qing.
• Mavzular amaldagi o'quv dasturi va darsliklar asosida tuzilgan; choraklar bo'yicha taqsimot
maktabingizdagi taqvim-mavzu rejasidan biroz farq qilishi mumkin.
• Muhim: bu mashq testlari — rasmiy BSB/CHSB topshiriqlari yoki ularning javoblari emas.
Rasmiy nazorat ishlari maktabda o'tkaziladi; ushbu to'plam faqat mustaqil tayyorgarlik uchun.
Choraklar va bo'limlar
Chorak Variantlar Bo'limlar (BSB mavzulari)
1-chorak 5 ta variant × 25 ta
savol Algebra — Murakkab va elementar funksiyalar hosilasi;
Algebra — Hosila va uni hisoblash qoidalari; Algebra —
Urinma tenglamasi va hosilaning ma'nosi; Geometriya —
Prizma; Geometriya — Piramida
2-chorak 5 ta variant × 25 ta
savol Algebra — Funksiyaning eng katta va eng kichik
qiymatlari; Algebra — Funksiyaning monotonligi va
ekstremumlari; Geometriya — Silindr va konus; Algebra
— Boshlang'ich funksiya va aniqmas integral; Geometriya
— Shar va sfera
3-chorak 5 ta variant × 25 ta
savol Algebra — Logarifm va logarifmik funksiya; Geometriya —
Ko'pyoqlarning hajmi; Algebra — Aniq integral va uning
tatbiqlari; Geometriya — Aylanish jismlarining hajmlari;
Algebra — Ko'rsatkichli funksiya, tenglama va tengsizliklar
4-chorak 5 ta variant × 25 ta
savol Geometriya — Fazoda Dekart koordinatalari; Algebra —
Ehtimollik nazariyasi elementlari; Algebra —
Kombinatorika elementlari; Geometriya — Fazoda
vektorlar; Algebra — Logarifmik tenglama va tengsizliklar
11-sinf Matematika (algebra va geometriya) — BSB/CHSB mashq testlari | 2

Mundarija
№ Variant Topshiriqlar
1 1-chorak • 1-variant (CHSB mashqi) 1–25
2 1-chorak • 2-variant (CHSB mashqi) 26–50
3 1-chorak • 3-variant (CHSB mashqi) 51–75
4 1-chorak • 4-variant (CHSB mashqi) 76–100
5 1-chorak • 5-variant (CHSB mashqi) 101–125
6 2-chorak • 1-variant (CHSB mashqi) 126–150
7 2-chorak • 2-variant (CHSB mashqi) 151–175
8 2-chorak • 3-variant (CHSB mashqi) 176–200
9 2-chorak • 4-variant (CHSB mashqi) 201–225
10 2-chorak • 5-variant (CHSB mashqi) 226–250
11 3-chorak • 1-variant (CHSB mashqi) 251–275
12 3-chorak • 2-variant (CHSB mashqi) 276–300
13 3-chorak • 3-variant (CHSB mashqi) 301–325
14 3-chorak • 4-variant (CHSB mashqi) 326–350
15 3-chorak • 5-variant (CHSB mashqi) 351–375
16 4-chorak • 1-variant (CHSB mashqi) 376–400
17 4-chorak • 2-variant (CHSB mashqi) 401–425
18 4-chorak • 3-variant (CHSB mashqi) 426–450
19 4-chorak • 4-variant (CHSB mashqi) 451–475
20 4-chorak • 5-variant (CHSB mashqi) 476–500
Jami topshiriqlar 500
Javoblar kaliti (hujjat oxirida)
11-sinf Matematika (algebra va geometriya) — BSB/CHSB mashq testlari | 3

1-chorak • 1-variant (CHSB mashqi)
Bo'lim (BSB): Algebra — Murakkab va elementar funksiyalar hosilasi
1. (eˣ)' ni toping.
A) e
B) eˣ
C) x·eˣ⁻¹
D) eˣ/x
To'g'ri javob: B) eˣ✔
2. Murakkab funksiyaning hosilasi qaysi formula bilan topiladi?
A) (f(g(x)))' = f'(x)·g'(x)
B) (f(g(x)))' = f'(g(x))·g'(x)
C) (f(g(x)))' = f'(g'(x))
D) (f(g(x)))' = g'(f(x))
To'g'ri javob: B) (f(g(x)))' = f'(g(x))·g'(x)
✔
3. (tg x)' ni toping.
A) ctg x
B) 1/sin²x
C) −1/cos x
D) 1/cos²x
To'g'ri javob: D) 1/cos²x
✔
4. f(x) = 1/(2x + 1) funksiyaning hosilasini toping.
A) −2/(2x + 1)²
B) ln(2x + 1)
C) −1/(2x + 1)²
D) −2/(2x + 1)
To'g'ri javob: A) −2/(2x + 1)²
✔
5. (cos x)' ni toping.
A) −sin x
B) 1/sin x
C) ctg x
D) cos x
To'g'ri javob: A) −sin x
✔
6. (ctg x)' ni toping.
A) −1/sin²x
B) −tg x
C) −1/cos²x
D) 1/sin x
To'g'ri javob: A) −1/sin²x
✔
11-sinf Matematika (algebra va geometriya) — BSB/CHSB mashq testlari | 4

Bo'lim (BSB): Algebra — Hosila va uni hisoblash qoidalari
7. (√x)' ni toping (x > 0).
A) 1/√x
B) 1/(2√x)
C) 2√x
D) √x/2
To'g'ri javob: B) 1/(2√x)✔
8. f(x) = 2x⁴ − 3x + 1 bo'lsa, f'(1) ni hisoblang.
A) 0
B) 8
C) 5
D) 2
To'g'ri javob: C) 5
✔
9. f(x) = 1/x³ funksiyaning hosilasini toping.
A) −1/x⁴
B) −3/x⁴
C) −1/(3x⁴)
D) −3/x²
To'g'ri javob: B) −3/x⁴
✔
10. (1/x)' ni toping (x ≠ 0).
A) −1/x²
B) ln x
C) 1/(2x²)
D) −1/x
To'g'ri javob: A) −1/x²
✔
11. f(x) = x² funksiyaning x0 = 1 nuqtadagi orttirmasini Δx = 0,1 bo'lganda toping.
A) 0,01
B) 0,21
C) 1,21
D) 0,2
To'g'ri javob: B) 0,21
✔
12. C o'zgarmas son bo'lsa, (C)' nimaga teng?
A) 1
B) Cx
C) 0
D) C
To'g'ri javob: C) 0
✔
13. f(x) = (2x + 1)/(x − 1) funksiyaning hosilasini toping.
A) −3/(x − 1)²
B) −1/(x − 1)²
C) −3/(x − 1)
D) (4x − 1)/(x − 1)²
To'g'ri javob: A) −3/(x − 1)²
✔
11-sinf Matematika (algebra va geometriya) — BSB/CHSB mashq testlari | 5

Bo'lim (BSB): Algebra — Urinma tenglamasi va hosilaning ma'nosi
14. y = 1/x funksiya grafigiga x0 = 1 nuqtada o'tkazilgan urinma tenglamasini toping.
A) y = x
B) y = −x + 2
C) y = −2x + 2
D) y = −x + 1
To'g'ri javob: B) y = −x + 2✔
15. y = eˣ funksiya grafigiga x0 = 0 nuqtada o'tkazilgan urinma tenglamasini toping.
A) y = 2x + 1
B) y = x + 1
C) y = x
D) y = ex
To'g'ri javob: B) y = x + 1
✔
16. y = x² funksiya grafigiga x0 = 1 nuqtada o'tkazilgan urinma tenglamasini toping.
A) y = 2x − 1
B) y = 2x − 2
C) y = x + 1
D) y = 2x
To'g'ri javob: A) y = 2x − 1
✔
17. Urinma Ox o'qining musbat yo'nalishi bilan α burchak hosil qilsa, qaysi tenglik to'g'ri?
A) cos α = f'(x0)
B) tg α = f'(x0)
C) α = f'(x0)
D) sin α = f'(x0)
To'g'ri javob: B) tg α = f'(x0)
✔
Bo'lim (BSB): Geometriya — Prizma
18. To'g'ri prizmaning yon sirti qaysi formula bilan topiladi (P — asos perimetri, h — balandlik)?
A) S = P·h
B) S = P·h/2
C) S = 2P·h
D) S = P²·h
To'g'ri javob: A) S = P·h
✔
19. Prizmaning yon yoqlari qanday shakllardan iborat?
A) ixtiyoriy ko'pburchaklar
B) parallelogrammlar
C) uchburchaklar
D) trapetsiyalar
To'g'ri javob: B) parallelogrammlar
✔
20. Prizmaning yon qirralari haqida qaysi tasdiq to'g'ri?
A) ular bir nuqtada kesishadi
B) ular o'zaro perpendikulyar
C) ular o'zaro parallel va teng
D) ular asos tomonlariga teng
To'g'ri javob: C) ular o'zaro parallel va teng
✔
11-sinf Matematika (algebra va geometriya) — BSB/CHSB mashq testlari | 6

Bo'lim (BSB): Geometriya — Piramida
21. Muntazam oltiburchakli piramidaning asos tomoni 4 ga, yon qirrasi 5 ga teng. Uning balandligini
toping.
A) √41
B) √13
C) 3
D) 1
To'g'ri javob: C) 3✔
22. Piramida balandligining o'rtasidan asosga parallel tekislik o'tkazildi. Kesim yuzi asos yuzining
qanday qismini tashkil etadi?
A) 1/8
B) 1/3
C) 1/4
D) 1/2
To'g'ri javob: C) 1/4
✔
23. Qirrasi a ga teng muntazam tetraedrning to'la sirti nimaga teng?
A) a²√3
B) 2a²√3
C) 3a²√3/4
D) a²√3/4
To'g'ri javob: A) a²√3
✔
24. Muntazam to'rtburchakli piramidaning asos tomoni 8 ga, yon qirrasi 9 ga teng. Piramidaning
balandligini toping.
A) √17
B) 5
C) 7
D) √65
To'g'ri javob: C) 7
✔
25. Kesik piramidaning yon yoqlari qanday shakllardan iborat?
A) parallelogrammlar
B) uchburchaklar
C) rombsimon to'rtburchaklar
D) trapetsiyalar
To'g'ri javob: D) trapetsiyalar
✔
11-sinf Matematika (algebra va geometriya) — BSB/CHSB mashq testlari | 7

1-chorak • 2-variant (CHSB mashqi)
Bo'lim (BSB): Algebra — Murakkab va elementar funksiyalar hosilasi
1. f(x) = sin x bo'lsa, f'(π/3) ni toping.
A) 1
B) √3/2
C) √2/2
D) 1/2
To'g'ri javob: D) 1/2✔
2. f(x) = ln(x² + 1) bo'lsa, f'(1) ni toping.
A) 2
B) 1/2
C) 1
D) ln 2
To'g'ri javob: C) 1
✔
3. f(x) = cos²x funksiyaning hosilasini toping.
A) −sin 2x
B) 2cos x
C) −cos 2x
D) −2sin x
To'g'ri javob: A) −sin 2x
✔
4. f(x) = 3ˣ bo'lsa, f'(0) ni toping.
A) 1
B) 3
C) ln 3
D) 1/ln 3
To'g'ri javob: C) ln 3
✔
5. f(x) = (x² − 1)³ funksiyaning hosilasini toping.
A) 3(x² − 1)²
B) 6x(x² − 1)²
C) 6x(x² − 1)³
D) 3x(x² − 1)²
To'g'ri javob: B) 6x(x² − 1)²
✔
Bo'lim (BSB): Algebra — Hosila va uni hisoblash qoidalari
6. f(x) = x⁴ bo'lsa, ikkinchi tartibli hosila f''(x) ni toping.
A) 24x
B) 12x²
C) 12x
D) 4x³
To'g'ri javob: B) 12x²
✔
11-sinf Matematika (algebra va geometriya) — BSB/CHSB mashq testlari | 8

7. f(x) = x² + 3x funksiya uchun f'(x) > 0 tengsizlikni yeching.
A) x > 0
B) x > −1,5
C) x > 2/3
D) x > −3
To'g'ri javob: B) x > −1,5✔
8. f(x) = (x² + 1)(x − 2) bo'lsa, f'(0) ni toping.
A) 3
B) 0
C) 1
D) −2
To'g'ri javob: C) 1
✔
9. Ikki funksiya ko'paytmasining hosilasi qaysi formula bilan hisoblanadi?
A) (uv)' = u'v + v'
B) (uv)' = u'v'
C) (uv)' = 2u'v'
D) (uv)' = u'v + uv'
To'g'ri javob: D) (uv)' = u'v + uv'
✔
10. f(x) = x³ bo'lsa, f'(−2) ni toping.
A) −8
B) 12
C) 6
D) 4
To'g'ri javob: B) 12
✔
Bo'lim (BSB): Algebra — Urinma tenglamasi va hosilaning ma'nosi
11. y = 4x + b to'g'ri chiziq y = x² + 1 parabolaga urinsa, b ni toping.
A) 9
B) −3
C) 5
D) 1
To'g'ri javob: B) −3
✔
12. y = √x funksiya grafigiga x0 = 4 nuqtada o'tkazilgan urinmaning burchak koeffitsiyentini toping.
A) 4
B) 1/4
C) 1/2
D) 2
To'g'ri javob: B) 1/4
✔
13. y = x² parabolaga qaysi abssissali nuqtada o'tkazilgan urinma Ox o'qining musbat yo'nalishi bilan
45° burchak hosil qiladi?
A) 1
B) 0,25
C) 2
D) 0,5
To'g'ri javob: D) 0,5
✔
11-sinf Matematika (algebra va geometriya) — BSB/CHSB mashq testlari | 9

14. O'tkazgichdan o'tgan zaryad miqdori q(t) = 3t² + t (Kl) qonun bo'yicha o'zgaradi. t = 2 s paytdagi
tok kuchini (amperda) toping.
A) 7
B) 12
C) 14
D) 13
To'g'ri javob: D) 13✔
Bo'lim (BSB): Geometriya — Prizma
15. Kubning qirrasi 4 sm. Uning diagonalini toping.
A) 12 sm
B) 8 sm
C) 4√2 sm
D) 4√3 sm
To'g'ri javob: D) 4√3 sm
✔
16. Muntazam oltiburchakli prizmaning asos tomoni 2 ga, balandligi 3 ga teng. Uning eng katta
diagonalini toping.
A) √21
B) 5
C) √13
D) 7
To'g'ri javob: B) 5
✔
17. Og'ma prizmaning yon sirti qanday topiladi (P — perpendikulyar kesim perimetri, l — yon qirra)?
⊥
A) S = P ·l
⊥
B) S = 2P ·l
⊥
C) S = P ·l/2
⊥
D) S = P ·h (h — balandlik)
⊥
To'g'ri javob: A) S = P⊥·l
✔
18. To'g'ri burchakli parallelepipedning o'lchamlari 2, 3 va 6 ga teng. Uning diagonalini toping.
A) √40
B) 5
C) 11
D) 7
To'g'ri javob: D) 7
✔
19. Parallelepiped deb qanday prizmaga aytiladi?
A) asoslari parallelogramm bo'lgan prizmaga
B) asoslari trapetsiya bo'lgan prizmaga
C) yoqlari faqat kvadratlardan iborat prizmaga
D) asoslari uchburchak bo'lgan prizmaga
To'g'ri javob: A) asoslari parallelogramm bo'lgan prizmaga
✔
20. n burchakli prizmaning nechta yog'i bor?
A) n + 2
B) 3n
C) 2n
D) n + 1
To'g'ri javob: A) n + 2
✔
11-sinf Matematika (algebra va geometriya) — BSB/CHSB mashq testlari | 10

21. To'g'ri prizmaning asosi katetlari 6 va 8 bo'lgan to'g'ri burchakli uchburchak, balandligi 10 ga teng.
Prizmaning yon sirtini toping.
A) 480
B) 240
C) 140
D) 288
To'g'ri javob: B) 240✔
Bo'lim (BSB): Geometriya — Piramida
22. Muntazam to'rtburchakli piramidaning barcha qirralari 2 ga teng. Uning to'la sirtini toping.
A) 4√3
B) 4 + 4√3
C) 4 + 2√3
D) 16 + 4√3
To'g'ri javob: B) 4 + 4√3
✔
23. Muntazam piramidaning apofemasi deb nimaga aytiladi?
A) yon yog'ining uchidan tushirilgan balandligiga
B) piramidaning balandligiga
C) piramidaning yon qirrasiga
D) asos ko'pburchakning diagonaliga
To'g'ri javob: A) yon yog'ining uchidan tushirilgan balandligiga
✔
24. Muntazam to'rtburchakli kesik piramida asoslarining tomonlari 2 va 8 ga, apofemasi 5 ga teng.
Uning yon sirtini toping.
A) 50
B) 168
C) 100
D) 200
To'g'ri javob: C) 100
✔
25. Muntazam uchburchakli piramidaning asos tomoni 6 ga, apofemasi 4 ga teng. Uning yon sirtini
toping.
A) 24
B) 72
C) 36
D) 36 + 9√3
To'g'ri javob: C) 36
✔
11-sinf Matematika (algebra va geometriya) — BSB/CHSB mashq testlari | 11

1-chorak • 3-variant (CHSB mashqi)
Bo'lim (BSB): Algebra — Murakkab va elementar funksiyalar hosilasi
1. (sin x)' ni toping.
A) 1/cos x
B) −sin x
C) tg x
D) cos x
To'g'ri javob: D) cos x✔
2. f(x) = sin x·cos x funksiyaning hosilasini toping.
A) sin 2x
B) 2cos 2x
C) cos 2x
D) cos²x
To'g'ri javob: C) cos 2x
✔
3. f(x) = e^(x²) funksiyaning hosilasini toping.
A) e^(x²)
B) 2x·e^(x²)
C) 2e^(x²)
D) x²·e^(x² − 1)
To'g'ri javob: B) 2x·e^(x²)
✔
4. f(x) = tg 2x bo'lsa, f'(0) ni toping.
A) 2
B) 1/2
C) 0
D) 1
To'g'ri javob: A) 2
✔
Bo'lim (BSB): Algebra — Hosila va uni hisoblash qoidalari
5. (x⁵)' ni toping.
A) 5x⁵
B) x⁶/6
C) x⁴
D) 5x⁴
To'g'ri javob: D) 5x⁴
✔
6. f(x) = x³ − 12x funksiya uchun f'(x) = 0 tenglamaning ildizlarini toping.
A) x = ±2√3
B) x = ±2
C) x = 0 va x = 12
D) x = ±4
To'g'ri javob: B) x = ±2
✔
11-sinf Matematika (algebra va geometriya) — BSB/CHSB mashq testlari | 12

7. f(x) = 6/x bo'lsa, f'(2) ni toping.
A) −6
B) −0,75
C) −1,5
D) 3
To'g'ri javob: C) −1,5✔
8. f(x) funksiyaning x0 nuqtadagi hosilasi qaysi nisbatning Δx → 0 dagi limitiga teng?
A) (f(x0 + Δx) − f(x0))/Δx
B) f(x0 + Δx)/Δx
C) Δx/(f(x0 + Δx) − f(x0))
D) f(x0 + Δx) − f(x0)
To'g'ri javob: A) (f(x0 + Δx) − f(x0))/Δx
✔
9. f(x) = 4√x bo'lsa, f'(4) ni hisoblang.
A) 0,5
B) 2
C) 1
D) 8
To'g'ri javob: C) 1
✔
Bo'lim (BSB): Algebra — Urinma tenglamasi va hosilaning ma'nosi
10. y = x³ − 3x funksiya grafigiga o'tkazilgan urinma qaysi nuqtalarda Ox o'qiga parallel bo'ladi?
A) x = ±2
B) x = ±1
C) x = 0
D) x = ±√3
To'g'ri javob: B) x = ±1
✔
11. y = ln x funksiya grafigiga x0 = 1 nuqtada o'tkazilgan urinma tenglamasini toping.
A) y = 1
B) y = 2x − 1
C) y = x − 1
D) y = x
To'g'ri javob: C) y = x − 1
✔
12. Agar s(t) — yo'l bo'lsa, ikkinchi tartibli hosila s''(t) qanday fizik kattalikni ifodalaydi?
A) tezlanishni
B) yo'lni
C) tezlikni
D) harakat vaqtini
To'g'ri javob: A) tezlanishni
✔
13. y = f(x) funksiya grafigiga x0 nuqtada o'tkazilgan urinma tenglamasini ko'rsating.
A) y = f'(x0) + f(x0)·x
B) y = f'(x0)·x + x0
C) y = f(x0) + f'(x0)(x − x0)
D) y = f(x0) + f'(x)(x − x0)
To'g'ri javob: C) y = f(x0) + f'(x0)(x − x0)
✔
11-sinf Matematika (algebra va geometriya) — BSB/CHSB mashq testlari | 13

14. f(x) = x² − 4x + 5 funksiya grafigiga x0 = 3 nuqtada o'tkazilgan urinmaning burchak koeffitsiyentini
toping.
A) 5
B) 6
C) 2
D) 10
To'g'ri javob: C) 2✔
15. f(x) = x² + 2x + 3 funksiya grafigiga u Oy o'qi bilan kesishgan nuqtada o'tkazilgan urinma
tenglamasini toping.
A) y = 2x + 3
B) y = x + 3
C) y = 3x + 2
D) y = 2x
To'g'ri javob: A) y = 2x + 3
✔
16. Nuqta s(t) = t³ − 6t² + 5 (m) qonun bo'yicha harakatlanmoqda. t > 0 bo'lganda qaysi paytda uning
tezligi nolga teng bo'ladi?
A) 3 s
B) 6 s
C) 2 s
D) 4 s
To'g'ri javob: D) 4 s
✔
Bo'lim (BSB): Geometriya — Prizma
17. n burchakli prizmaning nechta qirrasi bor?
A) 3n
B) 4n
C) n + 2
D) 2n
To'g'ri javob: A) 3n
✔
18. Qanday prizma muntazam prizma deyiladi?
A) asosi ixtiyoriy kvadrat bo'lgan og'ma prizma
B) yon qirralari o'zaro teng bo'lgan og'ma prizma
C) asosi muntazam ko'pburchak bo'lgan to'g'ri prizma
D) yon yoqlari kvadrat bo'lgan ixtiyoriy prizma
To'g'ri javob: C) asosi muntazam ko'pburchak bo'lgan to'g'ri prizma
✔
19. Kubning to'la sirti 54 sm². Uning qirrasini toping.
A) 3 sm
B) 9 sm
C) √54 sm
D) 6 sm
To'g'ri javob: A) 3 sm
✔
11-sinf Matematika (algebra va geometriya) — BSB/CHSB mashq testlari | 14

20. Beshburchakli prizmaning nechta diagonali bor?
A) 5
B) 20
C) 15
D) 10
To'g'ri javob: D) 10✔
21. Oltiburchakli prizmaning nechta uchi bor?
A) 6
B) 8
C) 12
D) 18
To'g'ri javob: C) 12
✔
Bo'lim (BSB): Geometriya — Piramida
22. Piramidaning barcha yon yoqlari asos tekisligi bilan teng burchaklar hosil qiladi. Uchi asosga
qayerga proyeksiyalanadi?
A) asos diagonallaridan birining o'rtasiga
B) asosga ichki chizilgan aylana markaziga
C) asosning biror uchiga
D) asosga tashqi chizilgan aylana markaziga
To'g'ri javob: B) asosga ichki chizilgan aylana markaziga
✔
23. Piramidaning balandligi deb nimaga aytiladi?
A) uchini asosning biror uchi bilan tutashtiruvchi kesmaga
B) uchidan asos tomoniga tushirilgan perpendikulyarga
C) asosning eng katta diagonaliga
D) uchidan asos tekisligiga tushirilgan perpendikulyarga
To'g'ri javob: D) uchidan asos tekisligiga tushirilgan perpendikulyarga
✔
24. Beshburchakli piramidaning nechta uchi bor?
A) 5
B) 6
C) 10
D) 7
To'g'ri javob: B) 6
✔
25. Muntazam to'rtburchakli piramidaning asos tomoni 6 sm, apofemasi 5 sm. Uning yon sirtini
toping.
A) 30 sm²
B) 120 sm²
C) 96 sm²
D) 60 sm²
To'g'ri javob: D) 60 sm²
✔
11-sinf Matematika (algebra va geometriya) — BSB/CHSB mashq testlari | 15

1-chorak • 4-variant (CHSB mashqi)
Bo'lim (BSB): Algebra — Murakkab va elementar funksiyalar hosilasi
1. f(x) = sin 3x funksiyaning hosilasini toping.
A) 3cos 3x
B) cos 3x
C) 3sin 3x
D) (1/3)cos 3x
To'g'ri javob: A) 3cos 3x✔
2. f(x) = (3x − 1)⁵ funksiyaning hosilasini toping.
A) 15(3x − 1)⁵
B) 3(3x − 1)⁴
C) 15(3x − 1)⁴
D) 5(3x − 1)⁴
To'g'ri javob: C) 15(3x − 1)⁴
✔
3. (ln x)' ni toping (x > 0).
A) x·ln x
B) 1/x
C) 1/(x·ln 10)
D) −1/x²
To'g'ri javob: B) 1/x
✔
4. f(x) = √(x² + 9) bo'lsa, f'(4) ni toping.
A) 0,8
B) 0,1
C) 0,4
D) 1,6
To'g'ri javob: A) 0,8
✔
5. (log₂x)' ni toping (x > 0).
A) 1/(x·ln 2)
B) x·ln 2
C) ln 2/x
D) 1/x
To'g'ri javob: A) 1/(x·ln 2)
✔
6. f(x) = ln(5x) funksiyaning hosilasini toping (x > 0).
A) 5/x
B) 1/x
C) 1/(5x)
D) 5·ln x
To'g'ri javob: B) 1/x
✔
11-sinf Matematika (algebra va geometriya) — BSB/CHSB mashq testlari | 16

7. (aˣ)' ni toping (a > 0, a ≠ 1).
A) aˣ⁺¹/(x + 1)
B) x·aˣ⁻¹
C) aˣ·ln a
D) aˣ
To'g'ri javob: C) aˣ·ln a✔
8. f(x) = x²·eˣ funksiyaning hosilasini toping.
A) (x² + 2)eˣ
B) (2x + 1)eˣ
C) (x² + 2x)eˣ
D) 2x·eˣ
To'g'ri javob: C) (x² + 2x)eˣ
✔
Bo'lim (BSB): Algebra — Hosila va uni hisoblash qoidalari
9. f(x) = x/(x + 1) bo'lsa, f'(1) ni toping.
A) 1
B) 1/4
C) 3/4
D) 1/2
To'g'ri javob: B) 1/4
✔
10. Bo'linmaning hosilasi (u/v)' qaysi formula bilan topiladi (v ≠ 0)?
A) (u'v − uv')/v²
B) (u'v − uv')/u²
C) (u'v − uv')/v
D) u'/v'
To'g'ri javob: A) (u'v − uv')/v²
✔
11. f(x) = x³ − 4x² + 7x − 2 funksiyaning hosilasini toping.
A) 3x² − 8x + 5
B) 3x² − 4x + 7
C) x² − 8x + 7
D) 3x² − 8x + 7
To'g'ri javob: D) 3x² − 8x + 7
✔
12. f(x) = (x + 1)(x − 3) funksiyaning hosilasini toping.
A) 2x − 4
B) 2x − 2
C) x − 2
D) 2x − 3
To'g'ri javob: B) 2x − 2
✔
Bo'lim (BSB): Algebra — Urinma tenglamasi va hosilaning ma'nosi
13. Jism s(t) = 2t³ − t (m) qonun bo'yicha harakatlanmoqda. t = 1 s paytdagi tezlanishini toping.
A) 12 m/s²
B) 1 m/s²
C) 6 m/s²
D) 5 m/s²
To'g'ri javob: A) 12 m/s²
✔
11-sinf Matematika (algebra va geometriya) — BSB/CHSB mashq testlari | 17

14. Agar s(t) — jismning bosib o'tgan yo'li bo'lsa, s'(t) nimani ifodalaydi?
A) bosib o'tilgan yo'lni
B) oniy tezlikni
C) o'rtacha tezlikni
D) tezlanishni
To'g'ri javob: B) oniy tezlikni✔
15. Moddiy nuqta s(t) = t² + 3t (m) qonun bo'yicha harakatlanmoqda. t = 2 s paytdagi tezligini toping.
A) 10 m/s
B) 5 m/s
C) 4 m/s
D) 7 m/s
To'g'ri javob: D) 7 m/s
✔
16. y = x² − 3x funksiya grafigining qaysi nuqtasida o'tkazilgan urinma y = x + 5 to'g'ri chiziqqa parallel
bo'ladi?
A) (2; −2)
B) (−2; 10)
C) (2; 7)
D) (1; −2)
To'g'ri javob: A) (2; −2)
✔
Bo'lim (BSB): Geometriya — Prizma
17. To'rtburchakli prizmaning nechta diagonali bor?
A) 2
B) 4
C) 6
D) 8
To'g'ri javob: B) 4
✔
18. Parallelepiped diagonallari haqida qaysi tasdiq to'g'ri?
A) har doim asos tomonlariga teng bo'ladi
B) har doim o'zaro perpendikulyar bo'ladi
C) o'zaro parallel bo'ladi va kesishmaydi
D) bir nuqtada kesishadi va shu nuqtada teng ikkiga bo'linadi
To'g'ri javob: D) bir nuqtada kesishadi va shu nuqtada teng ikkiga bo'linadi
✔
19. To'g'ri prizmaning yon yoqlari qanday shakllardan iborat?
A) teng tomonli uchburchaklar
B) to'g'ri to'rtburchaklar
C) ixtiyoriy trapetsiyalar
D) muntazam oltiburchaklar
To'g'ri javob: B) to'g'ri to'rtburchaklar
✔
11-sinf Matematika (algebra va geometriya) — BSB/CHSB mashq testlari | 18

Bo'lim (BSB): Geometriya — Piramida
20. Muntazam kesik piramidaning yon sirti qaysi formula bilan topiladi (P1, P2 — asoslar perimetrlari,
l — apofema)?
A) S = (P1 + P2)·l
B) S = (1/3)(P1 + P2)·l
C) S = (1/2)P1·l
D) S = (1/2)(P1 + P2)·l
To'g'ri javob: D) S = (1/2)(P1 + P2)·l✔
21. Muntazam to'rtburchakli piramidaning asos tomoni 6 ga teng, yon yoqlari asos bilan 60° li
burchak hosil qiladi. Piramidaning balandligini toping.
A) 2√3
B) 3√3
C) 6
D) 3
To'g'ri javob: B) 3√3
✔
22. Muntazam to'rtburchakli piramidaning barcha qirralari 4 ga teng. Uning balandligini toping.
A) 2√2
B) 2
C) 2√3
D) 4
To'g'ri javob: A) 2√2
✔
23. Piramidaning barcha yon qirralari o'zaro teng. Piramidaning uchi asos tekisligiga qayerga
proyeksiyalanadi?
A) asosga ichki chizilgan aylana markaziga
B) asosning biror uchiga
C) asos tomonlaridan birining o'rtasiga
D) asosga tashqi chizilgan aylana markaziga
To'g'ri javob: D) asosga tashqi chizilgan aylana markaziga
✔
24. Qanday piramida muntazam piramida deyiladi?
A) asosi ixtiyoriy kvadrat bo'lib, uchi asos uchiga proyeksiyalanadigan piramida
B) bitta yon qirrasi asosga perpendikulyar bo'lgan piramida
C) yon yoqlari to'g'ri burchakli uchburchaklar bo'lgan piramida
D) asosi muntazam ko'pburchak bo'lib, uchi asos markaziga proyeksiyalanadigan piramida
To'g'ri javob: D) asosi muntazam ko'pburchak bo'lib, uchi asos markaziga proyeksiyalanadigan
✔
piramida
25. Muntazam tetraedrning qirrasi 6 sm. Uning to'la sirtini toping.
A) 27√3 sm²
B) 36√3 sm²
C) 18√3 sm²
D) 9√3 sm²
To'g'ri javob: B) 36√3 sm²
✔
11-sinf Matematika (algebra va geometriya) — BSB/CHSB mashq testlari | 19

1-chorak • 5-variant (CHSB mashqi)
Bo'lim (BSB): Algebra — Murakkab va elementar funksiyalar hosilasi
1. f(x) = e^(2x) funksiyaning hosilasini toping.
A) e^(2x)
B) 2e^(2x)
C) e^(2x)/2
D) 2x·e^(2x − 1)
To'g'ri javob: B) 2e^(2x)✔
2. f(x) = x·sin x funksiyaning hosilasini toping.
A) x·cos x
B) sin x + x·cos x
C) sin x + cos x
D) cos x
To'g'ri javob: B) sin x + x·cos x
✔
Bo'lim (BSB): Algebra — Hosila va uni hisoblash qoidalari
3. f(x) = 3x + 2 funksiya uchun Δf/Δx nisbat nimaga teng (Δx ≠ 0)?
A) 3
B) 5
C) 3x
D) 2
To'g'ri javob: A) 3
✔
4. f(x) = 2x³ va g(x) = 2x³ + 7 funksiyalarning hosilalari haqida qaysi tasdiq to'g'ri?
A) g'(x) = 7·f'(x)
B) f'(x) = g'(x)
C) g'(x) = f'(x) + 7
D) f'(x) = g'(x) + 7
To'g'ri javob: B) f'(x) = g'(x)
✔
5. Hosilasi 2x ga teng bo'lgan funksiyani ko'rsating.
A) f(x) = x² + 5
B) f(x) = 2
C) f(x) = x²/2
D) f(x) = 2x²
To'g'ri javob: A) f(x) = x² + 5
✔
6. f(x) = x² − 6x funksiya uchun f'(x) = 0 tenglamani yeching.
A) 6
B) 3
C) 2
D) 0
To'g'ri javob: B) 3
✔
11-sinf Matematika (algebra va geometriya) — BSB/CHSB mashq testlari | 20

Bo'lim (BSB): Algebra — Urinma tenglamasi va hosilaning ma'nosi
7. Jism x(t) = 4t − t² (m) qonun bo'yicha harakatlanmoqda. t = 3 s paytdagi tezligini toping.
A) 4 m/s
B) 3 m/s
C) −6 m/s
D) −2 m/s
To'g'ri javob: D) −2 m/s✔
8. y = sin x funksiya grafigiga koordinatalar boshida o'tkazilgan urinma tenglamasini toping.
A) y = 1
B) y = x + 1
C) y = x
D) y = 0
To'g'ri javob: C) y = x
✔
9. y = x³ funksiya grafigiga x0 = 1 nuqtada o'tkazilgan urinma tenglamasini toping.
A) y = 3x − 1
B) y = 3x − 2
C) y = 3x − 3
D) y = x + 2
To'g'ri javob: B) y = 3x − 2
✔
10. y = x³/3 funksiya grafigiga x0 = 1 nuqtada o'tkazilgan urinma Ox o'qining musbat yo'nalishi bilan
qanday burchak hosil qiladi?
A) 60°
B) 90°
C) 30°
D) 45°
To'g'ri javob: D) 45°
✔
11. Hosilaning geometrik ma'nosi: f'(x0) qiymat nimaga teng?
A) funksiyaning x0 nuqtadagi qiymatiga
B) grafikning Oy o'qi bilan kesishish ordinatasiga
C) urinmaning Ox o'qi bilan kesishish abssissasiga
D) x0 nuqtadagi urinmaning burchak koeffitsiyentiga
To'g'ri javob: D) x0 nuqtadagi urinmaning burchak koeffitsiyentiga
✔
12. f(x) = x² − 6x + 1 funksiya grafigiga o'tkazilgan urinma qaysi abssissali nuqtada Ox o'qiga parallel
bo'ladi?
A) 1
B) −8
C) 3
D) 6
To'g'ri javob: C) 3
✔
11-sinf Matematika (algebra va geometriya) — BSB/CHSB mashq testlari | 21

Bo'lim (BSB): Geometriya — Prizma
13. Muntazam to'rtburchakli prizmaning asos tomoni 4 ga, balandligi 3 ga teng. Uning diagonal kesimi
yuzini toping.
A) 12√2
B) 16√2
C) 12
D) 24
To'g'ri javob: A) 12√2✔
14. Kubning diagonali 6√3 sm. Kubning to'la sirtini toping.
A) 108 sm²
B) 72 sm²
C) 36 sm²
D) 216 sm²
To'g'ri javob: D) 216 sm²
✔
15. To'g'ri burchakli parallelepipedning o'lchamlari 3, 4 va 5 sm. Uning to'la sirtini toping.
A) 120 sm²
B) 60 sm²
C) 94 sm²
D) 47 sm²
To'g'ri javob: C) 94 sm²
✔
16. Muntazam uchburchakli prizmaning asos tomoni 4 ga, balandligi 6 ga teng. Uning to'la sirtini
toping.
A) 48 + 8√3
B) 72 + 8√3
C) 72 + 16√3
D) 72 + 4√3
To'g'ri javob: B) 72 + 8√3
✔
17. Qirrasi a ga teng kub yog'ining diagonali nimaga teng?
A) a√2/2
B) 2a
C) a√3
D) a√2
To'g'ri javob: D) a√2
✔
18. Kubning qirrasi 2 marta orttirilsa, uning to'la sirti necha marta ortadi?
A) 4
B) 6
C) 8
D) 2
To'g'ri javob: A) 4
✔
19. Muntazam to'rtburchakli prizmaning asos tomoni 3 sm, balandligi 5 sm. Uning yon sirtini toping.
A) 15 sm²
B) 60 sm²
C) 45 sm²
D) 78 sm²
To'g'ri javob: B) 60 sm²
✔
11-sinf Matematika (algebra va geometriya) — BSB/CHSB mashq testlari | 22

Bo'lim (BSB): Geometriya — Piramida
20. Muntazam to'rtburchakli piramidaning asos tomoni 6 sm, balandligi 4 sm. Uning apofemasini
toping.
A) 5 sm
B) √34 sm
C) √20 sm
D) 7 sm
To'g'ri javob: A) 5 sm✔
21. Muntazam piramidaning yon sirti qaysi formula bilan topiladi (P — asos perimetri, l — apofema)?
A) S = 2P·l
B) S = (1/2)P·l
C) S = P·l
D) S = (1/3)P·l
To'g'ri javob: B) S = (1/2)P·l
✔
22. n burchakli piramidaning nechta yog'i bor?
A) 2n
B) n + 2
C) n
D) n + 1
To'g'ri javob: D) n + 1
✔
23. Tetraedrning nechta qirrasi bor?
A) 4
B) 3
C) 8
D) 6
To'g'ri javob: D) 6
✔
24. n burchakli piramidaning nechta qirrasi bor?
A) 2n
B) n
C) 3n
D) n + 1
To'g'ri javob: A) 2n
✔
25. Piramida asosiga parallel tekislik bilan kesilsa, kesimda qanday shakl hosil bo'ladi?
A) har doim uchburchak
B) har doim kvadrat
C) asosga teng ko'pburchak
D) asosga o'xshash ko'pburchak
To'g'ri javob: D) asosga o'xshash ko'pburchak
✔
11-sinf Matematika (algebra va geometriya) — BSB/CHSB mashq testlari | 23

2-chorak • 1-variant (CHSB mashqi)
Bo'lim (BSB): Algebra — Funksiyaning eng katta va eng kichik qiymatlari
1. Quyidagi funksiyalardan qaysi biri sonlar o'qida eng kichik qiymatga ega emas?
A) f(x) = x² − 4x
B) f(x) = |x| + 2
C) f(x) = x²
D) f(x) = x³
To'g'ri javob: D) f(x) = x³✔
2. f(x) = sin x funksiyaning [0; π] kesmadagi eng katta qiymatini toping.
A) 1
B) 0
C) √2/2
D) π/2
To'g'ri javob: A) 1
✔
3. Ko'paytmasi 36 ga teng bo'lgan ikki musbat sonning yig'indisi eng kami bilan nechaga teng bo'lishi
mumkin?
A) 37
B) 12
C) 13
D) 15
To'g'ri javob: B) 12
✔
4. Perimetri 24 sm bo'lgan to'g'ri to'rtburchaklar ichida eng katta yuzga egasining yuzini toping.
A) 144 sm²
B) 36 sm²
C) 32 sm²
D) 35 sm²
To'g'ri javob: B) 36 sm²
✔
5. f(x) = x³ − 3x funksiyaning [−2; 3] kesmadagi eng katta qiymatini toping.
A) 9
B) 2
C) 18
D) 0
To'g'ri javob: C) 18
✔
Bo'lim (BSB): Algebra — Funksiyaning monotonligi va ekstremumlari
6. f(x) = x³ − 6x² + 9x funksiyaning maksimumini (maksimum qiymatini) toping.
A) 1
B) 0
C) 4
D) 3
To'g'ri javob: C) 4
✔
11-sinf Matematika (algebra va geometriya) — BSB/CHSB mashq testlari | 24

7. f(x) = x³ − 3x² funksiyaning maksimum nuqtasini toping.
A) 2
B) −4
C) 3
D) 0
To'g'ri javob: D) 0✔
Bo'lim (BSB): Geometriya — Silindr va konus
8. Konusning yasovchisi 10 ga teng, o'q kesimining uchidagi burchagi 60°. Konus asosining radiusini
toping.
A) 5
B) 5√2
C) 10
D) 5√3
To'g'ri javob: A) 5
✔
9. Silindrning o'q kesimi tomoni 4 sm bo'lgan kvadrat. Silindrning yon sirtini toping.
A) 8π sm²
B) 32π sm²
C) 24π sm²
D) 16π sm²
To'g'ri javob: D) 16π sm²
✔
10. Kesik konus asoslarining radiuslari 5 va 2 ga, yasovchisi 4 ga teng. Uning yon sirtini toping.
A) 28π
B) 12π
C) 56π
D) 57π
To'g'ri javob: A) 28π
✔
Bo'lim (BSB): Algebra — Boshlang'ich funksiya va aniqmas integral
11. f(x) = cos x funksiyaning boshlang'ich funksiyalarining umumiy ko'rinishini toping.
A) x·sin x + C
B) sin x + C
C) cos x + C
D) tg x + C
To'g'ri javob: B) sin x + C
✔
12. f(x) = 2ˣ funksiyaning boshlang'ich funksiyalarining umumiy ko'rinishini toping.
A) 2ˣ + C
B) 2ˣ⁺¹/(x + 1) + C
C) x·2ˣ⁻¹ + C
D) 2ˣ/ln 2 + C
To'g'ri javob: D) 2ˣ/ln 2 + C
✔
11-sinf Matematika (algebra va geometriya) — BSB/CHSB mashq testlari | 25

13. f(x) = cos 3x funksiyaning boshlang'ich funksiyalarining umumiy ko'rinishini toping.
A) (1/3)cos 3x + C
B) (1/3)sin 3x + C
C) 3sin 3x + C
D) sin 3x + C
To'g'ri javob: B) (1/3)sin 3x + C✔
14. f(x) = 1/x (x > 0) funksiyaning boshlang'ich funksiyalarining umumiy ko'rinishini toping.
A) −1/x² + C
B) 1/x + C
C) ln x + C
D) x·ln x + C
To'g'ri javob: C) ln x + C
✔
15. f(x) = 1 funksiyaning boshlang'ich funksiyalarining umumiy ko'rinishini toping.
A) x²/2 + C
B) x + C
C) C
D) 1 + C
To'g'ri javob: B) x + C
✔
16. f(x) = √x funksiyaning boshlang'ich funksiyalarining umumiy ko'rinishini toping.
A) (3/2)x√x + C
B) 1/(2√x) + C
C) (2/3)x√x + C
D) x√x + C
To'g'ri javob: C) (2/3)x√x + C
✔
17. f(x) = 1/(x + 2) (x > −2) funksiyaning boshlang'ich funksiyalarining umumiy ko'rinishini toping.
A) −1/(x + 2)² + C
B) ln(x + 2) + C
C) ln x + C
D) 2ln(x + 2) + C
To'g'ri javob: B) ln(x + 2) + C
✔
18. f(x) = 4x³ − 6x + 2 funksiyaning boshlang'ich funksiyalarining umumiy ko'rinishini toping.
A) 12x² − 6 + C
B) x⁴ − 3x² + 2x + C
C) x⁴ − 6x² + 2x + C
D) 4x⁴ − 3x² + 2x + C
To'g'ri javob: B) x⁴ − 3x² + 2x + C
✔
Bo'lim (BSB): Geometriya — Shar va sfera
19. Sfera deb nimaga aytiladi?
A) fazoda berilgan ikki nuqtadan teng uzoqlikda yotuvchi nuqtalar to'plamiga
B) tekislikda berilgan nuqtadan bir xil masofada yotuvchi nuqtalar to'plamiga
C) fazoda berilgan nuqtadan bir xil masofada yotuvchi hamma nuqtalar to'plamiga
D) fazoda berilgan nuqtadan R dan kichik masofada yotuvchi nuqtalar to'plamiga
To'g'ri javob: C) fazoda berilgan nuqtadan bir xil masofada yotuvchi hamma nuqtalar to'plamiga
✔
11-sinf Matematika (algebra va geometriya) — BSB/CHSB mashq testlari | 26

20. Qirrasi 2 ga teng kubga tashqi chizilgan sferaning radiusini toping.
A) √3
B) 2√3
C) 1
D) √2
To'g'ri javob: A) √3✔
21. Markazi (2; 0; −1) nuqtada, radiusi 4 ga teng sferaning tenglamasini toping.
A) (x − 2)² + y² + (z + 1)² = 8
B) (x − 2)² + y² + (z + 1)² = 4
C) (x − 2)² + y² + (z + 1)² = 16
D) (x − 2)² + (z + 1)² = 16
To'g'ri javob: C) (x − 2)² + y² + (z + 1)² = 16
✔
22. Sharning katta doirasi deb nimaga aytiladi?
A) markazdan R/2 masofadagi kesimga
B) sharning eng kichik yuzli kesimiga
C) sharning markazidan o'tuvchi tekislik bilan kesimiga
D) sharning urinma tekislik bilan umumiy qismiga
To'g'ri javob: C) sharning markazidan o'tuvchi tekislik bilan kesimiga
✔
23. Sfera markazidan tekislikkacha bo'lgan masofa d radius R dan katta (d > R). Tekislik va sfera
qanday joylashgan?
A) aylana bo'yicha kesishadi
B) katta aylana bo'yicha kesishadi
C) umumiy nuqtaga ega emas
D) bitta umumiy nuqtaga ega
To'g'ri javob: C) umumiy nuqtaga ega emas
✔
24. Sfera markazidan tekislikkacha bo'lgan masofa radiusga teng (d = R). Bunday tekislik sfera uchun
qanday tekislik bo'ladi?
A) urinma tekislik
B) kesuvchi tekislik
C) simmetriya tekisligi
D) diametral tekislik
To'g'ri javob: A) urinma tekislik
✔
25. x² + y² + z² − 4x + 6z = 12 sferaning radiusini toping.
A) √12
B) 25
C) √13
D) 5
To'g'ri javob: D) 5
✔
11-sinf Matematika (algebra va geometriya) — BSB/CHSB mashq testlari | 27

2-chorak • 2-variant (CHSB mashqi)
Bo'lim (BSB): Algebra — Funksiyaning eng katta va eng kichik qiymatlari
1. Uzunligi 40 m bo'lgan to'r bilan bir tomoni devorga tutashgan to'g'ri to'rtburchakli maydon
o'ralmoqda. Maydonning eng katta yuzini toping.
A) 100 m²
B) 200 m²
C) 160 m²
D) 400 m²
To'g'ri javob: B) 200 m²✔
2. f(x) = x² − 2x funksiyaning [0; 3] kesmadagi eng katta qiymatini toping.
A) 0
B) −1
C) 2
D) 3
To'g'ri javob: D) 3
✔
3. Yuzi 64 sm² bo'lgan to'g'ri to'rtburchaklar ichida eng kichik perimetrlisining perimetrini toping.
A) 32 sm
B) 40 sm
C) 34 sm
D) 64 sm
To'g'ri javob: A) 32 sm
✔
4. Yig'indisi 20 ga teng bo'lgan ikki musbat sonning ko'paytmasi eng ko'pi bilan nechaga teng bo'lishi
mumkin?
A) 400
B) 100
C) 96
D) 99
To'g'ri javob: B) 100
✔
5. [a; b] kesmada uzluksiz funksiya o'zining eng katta qiymatiga qayerda erishadi?
A) faqat kesmaning o'rtasida
B) kritik nuqtalarda yoki kesmaning uchlarida
C) faqat kesmaning uchlarida
D) faqat kritik nuqtalarda
To'g'ri javob: B) kritik nuqtalarda yoki kesmaning uchlarida
✔
Bo'lim (BSB): Algebra — Funksiyaning monotonligi va ekstremumlari
6. f(x) = x² − 4x funksiyaning o'sish oralig'ini toping.
A) [0; 4]
B) [2; +∞)
C) [4; +∞)
D) (−∞; 0]
To'g'ri javob: B) [2; +∞)
✔
11-sinf Matematika (algebra va geometriya) — BSB/CHSB mashq testlari | 28

7. f(x) = x³ − 3x² funksiyaning minimumini (minimum qiymatini) toping.
A) −3
B) 0
C) 2
D) −4
To'g'ri javob: D) −4✔
8. f(x) = x·eˣ funksiyaning minimum nuqtasini toping.
A) −2
B) −1/e
C) 0
D) −1
To'g'ri javob: D) −1
✔
9. f(x) = −2x + 7 funksiya sonlar o'qida qanday funksiya?
A) kamayuvchi
B) o'suvchi
C) avval o'suvchi, so'ng kamayuvchi
D) o'zgarmas
To'g'ri javob: A) kamayuvchi
✔
10. f(x) = 2x³ − 6x + 1 funksiyaning nechta ekstremum nuqtasi bor?
A) 1
B) 0
C) 3
D) 2
To'g'ri javob: D) 2
✔
11. f(x) = x⁴ − 2x² funksiyaning kritik nuqtalarini toping.
A) −√2; √2
B) −1; 1
C) 0; 2
D) −1; 0; 1
To'g'ri javob: D) −1; 0; 1
✔
Bo'lim (BSB): Geometriya — Silindr va konus
12. Konusning asos radiusi 3 ga, balandligi 4 ga teng. Uning o'q kesimi yuzini toping.
A) 24
B) 6
C) 15
D) 12
To'g'ri javob: D) 12
✔
13. Konusning yon sirti qaysi formula bilan topiladi (R — asos radiusi, l — yasovchi)?
A) S = 2πRl
B) S = πR(R + l)
C) S = πR²l
D) S = πRl
To'g'ri javob: D) S = πRl
✔
11-sinf Matematika (algebra va geometriya) — BSB/CHSB mashq testlari | 29

14. Silindrning asos radiusi 3 sm, balandligi 5 sm. Uning yon sirtini toping.
A) 45π sm²
B) 15π sm²
C) 30π sm²
D) 48π sm²
To'g'ri javob: C) 30π sm²✔
15. Konusning asos radiusi 3 sm, yasovchisi 5 sm. Uning yon sirtini toping.
A) 12π sm²
B) 30π sm²
C) 24π sm²
D) 15π sm²
To'g'ri javob: D) 15π sm²
✔
Bo'lim (BSB): Algebra — Boshlang'ich funksiya va aniqmas integral
16. f(x) = sin x funksiyaning boshlang'ich funksiyalarining umumiy ko'rinishini toping.
A) x·cos x + C
B) −cos x + C
C) ctg x + C
D) sin x + C
To'g'ri javob: B) −cos x + C
✔
17. f(x) = 1/cos²x funksiyaning boshlang'ich funksiyalarining umumiy ko'rinishini toping.
A) 1/cos x + C
B) ctg x + C
C) tg x + C
D) tg²x + C
To'g'ri javob: C) tg x + C
✔
18. f(x) = 3x² funksiyaning F(0) = −4 shartni qanoatlantiruvchi boshlang'ich funksiyasini toping.
A) F(x) = x³ − 4
B) F(x) = x³
C) F(x) = 3x³ − 4
D) F(x) = 6x − 4
To'g'ri javob: A) F(x) = x³ − 4
✔
19. f(x) = 2x funksiyaning grafigi M(1; 3) nuqtadan o'tuvchi boshlang'ich funksiyasini toping.
A) F(x) = x² + 2
B) F(x) = 2x² + 1
C) F(x) = x² + 1
D) F(x) = x² + 3
To'g'ri javob: A) F(x) = x² + 2
✔
Bo'lim (BSB): Geometriya — Shar va sfera
20. Sferaga urinma tekislik urinish nuqtasiga o'tkazilgan radiusga nisbatan qanday joylashadi?
A) radius bilan 60° li burchak hosil qiladi
B) radiusga perpendikulyar
C) radiusga parallel
D) radius bilan 45° li burchak hosil qiladi
To'g'ri javob: B) radiusga perpendikulyar
✔
11-sinf Matematika (algebra va geometriya) — BSB/CHSB mashq testlari | 30

21. Qirrasi 6 sm bo'lgan kubga ichki chizilgan sharning radiusini toping.
A) 3√2 sm
B) 6 sm
C) 3 sm
D) 3√3 sm
To'g'ri javob: C) 3 sm✔
22. Sharning radiusi 5 ga teng. Markazdan 3 ga teng masofada o'tkazilgan kesimning yuzini toping.
A) 25π
B) 16π
C) 4π
D) 9π
To'g'ri javob: B) 16π
✔
23. Konusning o'q kesimi tomoni 6 ga teng bo'lgan teng tomonli uchburchak. Konusga ichki chizilgan
sharning radiusini toping.
A) 2√3
B) 3√3
C) √3/2
D) √3
To'g'ri javob: D) √3
✔
24. Sferaning diametri 10 sm. Uning katta aylanasining uzunligini toping.
A) 10π sm
B) 5π sm
C) 25π sm
D) 100π sm
To'g'ri javob: A) 10π sm
✔
25. Sferaning yuzi 100π ga teng. Uning radiusini toping.
A) 10
B) 5
C) 5√2
D) 25
To'g'ri javob: B) 5
✔
11-sinf Matematika (algebra va geometriya) — BSB/CHSB mashq testlari | 31

2-chorak • 3-variant (CHSB mashqi)
Bo'lim (BSB): Algebra — Funksiyaning eng katta va eng kichik qiymatlari
1. f(x) = x³ − 3x² + 1 funksiyaning [−1; 1] kesmadagi eng kichik qiymatini toping.
A) −2
B) −3
C) −1
D) 0
To'g'ri javob: B) −3✔
2. f(x) = x + 1/x funksiyaning [1/2; 3] kesmadagi eng kichik qiymatini toping.
A) 1
B) 10/3
C) 2
D) 2,5
To'g'ri javob: C) 2
✔
3. f(x) = x⁴ − 8x² funksiyaning [−1; 3] kesmadagi eng kichik qiymatini toping.
A) −16
B) −7
C) 9
D) 0
To'g'ri javob: A) −16
✔
4. Agar f(x) funksiya [a; b] kesmada o'suvchi bo'lsa, uning shu kesmadagi eng kichik qiymati nimaga
teng?
A) f((a + b)/2)
B) f(a)
C) f(b) − f(a)
D) f(b)
To'g'ri javob: B) f(a)
✔
5. f(x) = 2x + 1 funksiyaning [−1; 4] kesmadagi eng kichik qiymatini toping.
A) −1
B) −3
C) 9
D) 0
To'g'ri javob: A) −1
✔
6. f(x) = x³ − 3x funksiyaning [0; 2] kesmadagi eng kichik qiymatini toping.
A) 1
B) −2
C) −3
D) 0
To'g'ri javob: B) −2
✔
11-sinf Matematika (algebra va geometriya) — BSB/CHSB mashq testlari | 32

7. Jismning tezligi v(t) = 6t − t² (m/s) qonun bo'yicha o'zgaradi. 0 ≤ t ≤ 5 oraliqda uning eng katta
tezligini toping.
A) 9 m/s
B) 6 m/s
C) 5 m/s
D) 8 m/s
To'g'ri javob: A) 9 m/s✔
Bo'lim (BSB): Algebra — Funksiyaning monotonligi va ekstremumlari
8. f(x) = −x² + 4x + 1 funksiyaning maksimumini (maksimum qiymatini) toping.
A) 1
B) 2
C) 5
D) 4
To'g'ri javob: C) 5
✔
9. f(x) = x³ − 3x funksiyaning kamayish oralig'ini toping.
A) (−∞; −1]
B) [−1; 1]
C) [0; 1]
D) [−√3; √3]
To'g'ri javob: B) [−1; 1]
✔
10. f(x) = sin x − x funksiya haqida qaysi tasdiq to'g'ri?
A) faqat (0; π) oraliqda o'sadi
B) butun sonlar o'qida kamayadi
C) butun sonlar o'qida o'sadi
D) (−∞; 0) da kamayadi, (0; +∞) da o'sadi
To'g'ri javob: B) butun sonlar o'qida kamayadi
✔
Bo'lim (BSB): Geometriya — Silindr va konus
11. Konusning asos radiusi 3 ga, yasovchisi 6 ga teng. Yon sirt yoyilmasi bo'lgan sektorning markaziy
burchagini toping.
A) 60°
B) 90°
C) 180°
D) 120°
To'g'ri javob: C) 180°
✔
12. Kesik konusning yon sirti qaysi formula bilan topiladi (R, r — asoslar radiuslari, l — yasovchi)?
A) S = πRl
B) S = π(R² + r²)l
C) S = π(R + r)l
D) S = 2π(R + r)l
To'g'ri javob: C) S = π(R + r)l
✔
11-sinf Matematika (algebra va geometriya) — BSB/CHSB mashq testlari | 33

13. Silindrning asos radiusi 2 ga, balandligi 3 ga teng. Uning to'la sirtini toping.
A) 24π
B) 20π
C) 16π
D) 12π
To'g'ri javob: B) 20π✔
14. Konusning o'q kesimi qanday shakl?
A) to'g'ri to'rtburchak
B) teng yonli uchburchak
C) trapetsiya
D) doira
To'g'ri javob: B) teng yonli uchburchak
✔
15. Konus qanday shaklni aylantirishdan hosil bo'ladi?
A) to'g'ri to'rtburchakni uning tomoni atrofida
B) yarim doirani uning diametri atrofida
C) to'g'ri burchakli uchburchakni uning kateti atrofida
D) teng tomonli uchburchakni uning tomoni atrofida
To'g'ri javob: C) to'g'ri burchakli uchburchakni uning kateti atrofida
✔
16. Konus yon sirtining yoyilmasi qanday shakl?
A) trapetsiya
B) uchburchak
C) to'g'ri to'rtburchak
D) doiraviy sektor
To'g'ri javob: D) doiraviy sektor
✔
17. Konusning balandligi 4 sm, asos radiusi 3 sm. Konus uchidan 2 sm masofada asosga parallel kesim
o'tkazildi. Kesim radiusini toping.
A) 1,5 sm
B) 1 sm
C) 3 sm
D) 2 sm
To'g'ri javob: A) 1,5 sm
✔
18. Konusning yasovchisi 13 sm, balandligi 12 sm. Asos radiusini toping.
A) √313 sm
B) 1 sm
C) 25 sm
D) 5 sm
To'g'ri javob: D) 5 sm
✔
Bo'lim (BSB): Algebra — Boshlang'ich funksiya va aniqmas integral
19. Quyidagilardan qaysi biri f(x) = 6x² funksiyaning boshlang'ich funksiyasi?
A) F(x) = 3x³ + 1
B) F(x) = 6x³
C) F(x) = 2x³ − 5
D) F(x) = 12x
To'g'ri javob: C) F(x) = 2x³ − 5
✔
11-sinf Matematika (algebra va geometriya) — BSB/CHSB mashq testlari | 34

20. Bitta funksiyaning ikkita boshlang'ich funksiyasi bir-biridan qanday farq qiladi?
A) o'zgarmas qo'shiluvchiga
B) x ga proporsional qo'shiluvchiga
C) o'zgarmas ko'paytuvchiga
D) argumentning ishorasiga
To'g'ri javob: A) o'zgarmas qo'shiluvchiga✔
21. f(x) = eˣ funksiyaning boshlang'ich funksiyalarining umumiy ko'rinishini toping.
A) eˣ/x + C
B) x·eˣ + C
C) e·x + C
D) eˣ + C
To'g'ri javob: D) eˣ + C
✔
Bo'lim (BSB): Geometriya — Shar va sfera
22. Sferaning radiusi 13 ga teng. Kesuvchi tekislik hosil qilgan aylananing radiusi 5 ga teng. Sfera
markazidan tekislikkacha masofani toping.
A) √194
B) 8
C) 18
D) 12
To'g'ri javob: D) 12
✔
23. Sfera yuzi qaysi formula bilan topiladi?
A) S = 4πR²
B) S = 2πR²
C) S = (4/3)πR³
D) S = πR²
To'g'ri javob: A) S = 4πR²
✔
24. Ikki sfera yuzlarining nisbati 9 : 4 ga teng. Ularning radiuslari nisbatini toping.
A) 81 : 16
B) 27 : 8
C) 3 : 2
D) 9 : 4
To'g'ri javob: C) 3 : 2
✔
25. Radiusi 3 sm bo'lgan sferaning yuzini toping.
A) 108π sm²
B) 12π sm²
C) 9π sm²
D) 36π sm²
To'g'ri javob: D) 36π sm²
✔
11-sinf Matematika (algebra va geometriya) — BSB/CHSB mashq testlari | 35

2-chorak • 4-variant (CHSB mashqi)
Bo'lim (BSB): Algebra — Funksiyaning eng katta va eng kichik qiymatlari
1. Tomoni 12 sm bo'lgan kvadrat shaklidagi kartonning burchaklaridan tomoni x bo'lgan kvadratlar
qirqib olinib, ochiq quti yasaldi. Qutining hajmi eng katta bo'lishi uchun x qanday bo'lishi kerak?
A) 3 sm
B) 4 sm
C) 1 sm
D) 2 sm
To'g'ri javob: D) 2 sm✔
2. f(x) = 2x³ − 3x² − 12x funksiyaning [0; 3] kesmadagi eng kichik qiymatini toping.
A) −20
B) 0
C) −7
D) −9
To'g'ri javob: A) −20
✔
3. f(x) = x² + 4x + 7 funksiyaning eng kichik qiymatini toping.
A) 3
B) 7
C) 4
D) −2
To'g'ri javob: A) 3
✔
4. f(x) = x·e^(−x) funksiyaning [0; 2] kesmadagi eng katta qiymatini toping.
A) e
B) 1/e
C) 2/e²
D) 0
To'g'ri javob: B) 1/e
✔
5. f(x) = sin x + cos x funksiyaning [0; π/2] kesmadagi eng katta qiymatini toping.
A) 0
B) √3
C) 1
D) √2
To'g'ri javob: D) √2
✔
6. To'g'ri burchakli uchburchak katetlarining yig'indisi 10 ga teng. Bunday uchburchaklar ichida eng
katta yuzni toping.
A) 25
B) 10
C) 12,5
D) 20
To'g'ri javob: C) 12,5
✔
11-sinf Matematika (algebra va geometriya) — BSB/CHSB mashq testlari | 36

Bo'lim (BSB): Algebra — Funksiyaning monotonligi va ekstremumlari
7. a ning qanday qiymatlarida f(x) = x³ + ax funksiya butun sonlar o'qida o'suvchi bo'ladi?
A) a ≤ −3
B) a ≥ 0
C) a ≥ 1
D) −3 < a < 3
To'g'ri javob: B) a ≥ 0✔
8. Ekstremumning zaruriy sharti (Ferma teoremasi) qanday? (x0 — ekstremum nuqtasi va unda hosila
mavjud.)
A) x0 nuqtada hosila nolga teng
B) x0 nuqtada funksiya qiymati nolga teng
C) x0 nuqtada hosila musbat
D) x0 nuqtada hosila manfiy
To'g'ri javob: A) x0 nuqtada hosila nolga teng
✔
9. f(x) = x³ + 3x funksiyaning o'sish oralig'ini toping.
A) [1; +∞)
B) (−∞; +∞)
C) (0; +∞)
D) [−1; 1]
To'g'ri javob: B) (−∞; +∞)
✔
10. f'(x) = (x − 2)²(x + 1) bo'lsa, f(x) funksiyaning ekstremum nuqtalari haqida qaysi tasdiq to'g'ri?
A) faqat x = −1 maksimum nuqtasi
B) faqat x = −1 minimum nuqtasi
C) faqat x = 2 maksimum nuqtasi
D) x = 2 minimum, x = −1 maksimum nuqtasi
To'g'ri javob: B) faqat x = −1 minimum nuqtasi
✔
11. f'(x) = (x − 1)(x + 3) bo'lsa, f(x) funksiyaning maksimum nuqtasini toping.
A) 0
B) 1
C) −2
D) −3
To'g'ri javob: D) −3
✔
12. f(x) = x + 4/x (x > 0) funksiyaning minimum nuqtasini toping.
A) 4
B) 5
C) 2
D) 1
To'g'ri javob: C) 2
✔
Bo'lim (BSB): Geometriya — Silindr va konus
13. Silindrning yon sirti 24π ga, asos radiusi 3 ga teng. Silindrning balandligini toping.
A) 2
B) 12
C) 8
D) 4
To'g'ri javob: D) 4
✔
11-sinf Matematika (algebra va geometriya) — BSB/CHSB mashq testlari | 37

14. Konusning asos radiusi 6 ga, balandligi 8 ga teng. Uning to'la sirtini toping.
A) 136π
B) 48π
C) 96π
D) 60π
To'g'ri javob: C) 96π✔
15. Silindr asosiga parallel tekislik bilan kesilsa, kesimda qanday shakl hosil bo'ladi?
A) to'g'ri to'rtburchak
B) asosdan kichik doira
C) asosga teng doira
D) ellips
To'g'ri javob: C) asosga teng doira
✔
16. Silindrning yon sirti qaysi formula bilan topiladi (R — asos radiusi, h — balandlik)?
A) S = πRh
B) S = 2πRh
C) S = πR²h
D) S = 2πR(R + h)
To'g'ri javob: B) S = 2πRh
✔
17. Silindr yon sirtining yoyilmasi qanday shakl?
A) doira
B) trapetsiya
C) to'g'ri to'rtburchak
D) doiraviy sektor
To'g'ri javob: C) to'g'ri to'rtburchak
✔
18. Silindr o'q kesimining diagonali 10 ga, silindrning balandligi 6 ga teng. Asos radiusini toping.
A) 5
B) 3
C) 8
D) 4
To'g'ri javob: D) 4
✔
Bo'lim (BSB): Algebra — Boshlang'ich funksiya va aniqmas integral
19. f(x) = (2x + 1)³ funksiyaning boshlang'ich funksiyalarining umumiy ko'rinishini toping.
A) 6(2x + 1)² + C
B) (2x + 1)⁴/2 + C
C) (2x + 1)⁴/8 + C
D) (2x + 1)⁴/4 + C
To'g'ri javob: C) (2x + 1)⁴/8 + C
✔
20. f(x) = sin 2x funksiyaning boshlang'ich funksiyalarining umumiy ko'rinishini toping.
A) −2cos 2x + C
B) −cos 2x + C
C) −(1/2)sin 2x + C
D) −(1/2)cos 2x + C
To'g'ri javob: D) −(1/2)cos 2x + C
✔
11-sinf Matematika (algebra va geometriya) — BSB/CHSB mashq testlari | 38

21. Qaysi shart bajarilsa, F(x) funksiya f(x) funksiyaning boshlang'ich funksiyasi deyiladi?
A) F(x) = f(x)·x
B) F'(x) = f(x)
C) F(x) = f(x) + C
D) F'(x) = 0
To'g'ri javob: B) F'(x) = f(x)✔
22. f(x) = 1/√x funksiyaning boshlang'ich funksiyalarining umumiy ko'rinishini toping.
A) √x + C
B) −1/(2x√x) + C
C) 2√x + C
D) √x/2 + C
To'g'ri javob: C) 2√x + C
✔
23. f(x) = sin x + cos x funksiyaning F(0) = 0 shartni qanoatlantiruvchi boshlang'ich funksiyasini toping.
A) F(x) = sin x − cos x + 2
B) F(x) = sin x − cos x + 1
C) F(x) = cos x − sin x + 1
D) F(x) = sin x − cos x
To'g'ri javob: B) F(x) = sin x − cos x + 1
✔
Bo'lim (BSB): Geometriya — Shar va sfera
24. Sharning markazidan 4 sm masofada o'tkazilgan kesim yuzi 9π sm². Shar sirtining yuzini toping.
A) 25π sm²
B) 100π sm²
C) 64π sm²
D) 50π sm²
To'g'ri javob: B) 100π sm²
✔
25. (x − 1)² + (y + 2)² + z² = 9 sferaning markazi va radiusini toping.
A) (1; −2; 0), R = 4,5
B) (1; −2; 0), R = 9
C) (1; −2; 1), R = 3
D) (1; −2; 0), R = 3
To'g'ri javob: D) (1; −2; 0), R = 3
✔
11-sinf Matematika (algebra va geometriya) — BSB/CHSB mashq testlari | 39

2-chorak • 5-variant (CHSB mashqi)
Bo'lim (BSB): Algebra — Funksiyaning eng katta va eng kichik qiymatlari
1. f(x) = ln x − x funksiyaning [1/2; 2] kesmadagi eng katta qiymatini toping.
A) −2
B) ln 2 − 2
C) −1
D) 0
To'g'ri javob: C) −1✔
2. f(x) = −x² + 6x − 5 funksiyaning eng katta qiymatini toping.
A) 5
B) 3
C) 4
D) 9
To'g'ri javob: C) 4
✔
Bo'lim (BSB): Algebra — Funksiyaning monotonligi va ekstremumlari
3. Funksiyaning kritik nuqtasi deb qanday nuqtaga aytiladi?
A) funksiyaning qiymati nolga teng bo'lgan nuqtaga
B) aniqlanish sohasining chegaraviy nuqtasiga
C) hosila nolga teng yoki mavjud bo'lmagan ichki nuqtaga
D) grafik Oy o'qini kesib o'tgan nuqtaga
To'g'ri javob: C) hosila nolga teng yoki mavjud bo'lmagan ichki nuqtaga
✔
4. f(x) = eˣ − x funksiyaning minimumini (minimum qiymatini) toping.
A) 1
B) 0
C) e − 1
D) e
To'g'ri javob: A) 1
✔
5. f(x) = x² − 6x + 5 funksiyaning minimum nuqtasini toping.
A) 5
B) 3
C) 1
D) −4
To'g'ri javob: B) 3
✔
6. Agar biror intervalda f'(x) > 0 bo'lsa, f(x) funksiya shu intervalda qanday bo'ladi?
A) o'sadi
B) kamayadi
C) nolga teng bo'ladi
D) o'zgarmas bo'ladi
To'g'ri javob: A) o'sadi
✔
11-sinf Matematika (algebra va geometriya) — BSB/CHSB mashq testlari | 40

7. x0 nuqtadan o'tishda f'(x) ishorasini qanday o'zgartirsa, x0 maksimum nuqtasi bo'ladi?
A) ishorasini o'zgartirmasa
B) manfiydan musbatga
C) musbatdan manfiyga
D) noldan musbatga
To'g'ri javob: C) musbatdan manfiyga✔
8. f(x) = ln x − x funksiyaning maksimum nuqtasini toping.
A) e
B) 1/e
C) 0
D) 1
To'g'ri javob: D) 1
✔
9. f(x) = x³ funksiyaning ekstremumlari haqida qaysi tasdiq to'g'ri?
A) x = 0 da maksimumga ega
B) ekstremum nuqtalarga ega emas
C) x = 0 da minimumga ega
D) x = 1 da minimumga ega
To'g'ri javob: B) ekstremum nuqtalarga ega emas
✔
10. f(x) = (x − 1)/(x + 1) funksiyaning monotonligi haqida qaysi tasdiq to'g'ri?
A) (−∞; −1) va (−1; +∞) oraliqlarning har birida o'sadi
B) (−∞; −1) da o'sadi, (−1; +∞) da kamayadi
C) (−∞; −1) da kamayadi, (−1; +∞) da o'sadi
D) (−∞; −1) va (−1; +∞) oraliqlarning har birida kamayadi
To'g'ri javob: A) (−∞; −1) va (−1; +∞) oraliqlarning har birida o'sadi
✔
Bo'lim (BSB): Geometriya — Silindr va konus
11. Silindrning o'q kesimi qanday shakl?
A) to'g'ri to'rtburchak
B) doira
C) teng yonli uchburchak
D) trapetsiya
To'g'ri javob: A) to'g'ri to'rtburchak
✔
12. Silindrning asos radiusi 5 sm, balandligi 10 sm. O'qdan 3 sm masofada o'qqa parallel kesim
o'tkazildi. Kesim yuzini toping.
A) 80 sm²
B) 60 sm²
C) 100 sm²
D) 40 sm²
To'g'ri javob: A) 80 sm²
✔
13. Silindr qanday shaklni aylantirishdan hosil bo'ladi?
A) trapetsiyani uning katta asosi atrofida
B) yarim doirani uning diametri atrofida
C) to'g'ri to'rtburchakni uning tomoni atrofida
D) to'g'ri burchakli uchburchakni uning kateti atrofida
To'g'ri javob: C) to'g'ri to'rtburchakni uning tomoni atrofida
✔
11-sinf Matematika (algebra va geometriya) — BSB/CHSB mashq testlari | 41

14. Konusning yon sirti asos yuzidan 2 marta katta. Yasovchi asos tekisligi bilan qanday burchak hosil
qiladi?
A) 30°
B) 90°
C) 45°
D) 60°
To'g'ri javob: D) 60°✔
Bo'lim (BSB): Algebra — Boshlang'ich funksiya va aniqmas integral
15. f(x) = e^(3x) funksiyaning boshlang'ich funksiyalarining umumiy ko'rinishini toping.
A) (1/3)e^(3x) + C
B) 3e^(3x) + C
C) e^(3x) + C
D) e^(3x + 1)/(3x + 1) + C
To'g'ri javob: A) (1/3)e^(3x) + C
✔
16. f(x) = 1/x² funksiyaning boshlang'ich funksiyalarining umumiy ko'rinishini toping.
A) −1/(3x³) + C
B) −2/x³ + C
C) −1/x + C
D) ln x² + C
To'g'ri javob: C) −1/x + C
✔
17. f(x) = x(x − 1) funksiyaning boshlang'ich funksiyalarining umumiy ko'rinishini toping.
A) x³ − x² + C
B) 2x − 1 + C
C) x³/3 − x²/2 + C
D) x³/3 − x + C
To'g'ri javob: C) x³/3 − x²/2 + C
✔
18. Jismning tezligi v(t) = 2t + 1 (m/s), s(0) = 0. Jism t = 3 s gacha qancha yo'l bosib o'tadi?
A) 9 m
B) 12 m
C) 6 m
D) 7 m
To'g'ri javob: B) 12 m
✔
19. f(x) = x³ funksiyaning boshlang'ich funksiyalarining umumiy ko'rinishini toping.
A) 4x⁴ + C
B) x⁴ + C
C) 3x² + C
D) x⁴/4 + C
To'g'ri javob: D) x⁴/4 + C
✔
11-sinf Matematika (algebra va geometriya) — BSB/CHSB mashq testlari | 42

Bo'lim (BSB): Geometriya — Shar va sfera
20. Shar qanday shaklni aylantirishdan hosil bo'ladi?
A) yarim doirani uning diametri atrofida
B) to'g'ri to'rtburchakni uning tomoni atrofida
C) uchburchakni uning medianasi atrofida
D) doirani uning urinmasi atrofida
To'g'ri javob: A) yarim doirani uning diametri atrofida✔
21. Radiusi 2 ga teng yarim sharning to'la sirtini (sferik qism va asos doirasi birga) toping.
A) 16π
B) 8π
C) 12π
D) 4π
To'g'ri javob: C) 12π
✔
22. Sfera radiusi 2 marta orttirilsa, uning yuzi necha marta ortadi?
A) 2
B) 4
C) 8
D) 16
To'g'ri javob: B) 4
✔
23. Sharni tekislik bilan kesganda kesimda qanday shakl hosil bo'ladi?
A) ellips
B) halqa
C) aylana
D) doira
To'g'ri javob: D) doira
✔
24. Balandligi 8 sm bo'lgan silindrga shar ichki chizilgan. Sharning radiusini toping.
A) 8 sm
B) 16 sm
C) 4 sm
D) 2 sm
To'g'ri javob: C) 4 sm
✔
25. Sharning radiusi 10 sm. Markazdan 6 sm masofada o'tkazilgan kesimning radiusini toping.
A) 6 sm
B) 8 sm
C) 4 sm
D) 2√34 sm
To'g'ri javob: B) 8 sm
✔
11-sinf Matematika (algebra va geometriya) — BSB/CHSB mashq testlari | 43

3-chorak • 1-variant (CHSB mashqi)
Bo'lim (BSB): Algebra — Logarifm va logarifmik funksiya
1. y = log_a x funksiyaning grafigi a ning har qanday qiymatida qaysi nuqtadan o'tadi?
A) (0; 1)
B) (1; 1)
C) (1; 0)
D) (0; 0)
To'g'ri javob: C) (1; 0)✔
2. 0 < a < 1 bo'lsa, y = log_a x funksiya qanday funksiya bo'ladi?
A) o'zgarmas
B) juft
C) o'suvchi
D) kamayuvchi
To'g'ri javob: D) kamayuvchi
✔
3. log_a b = c (a > 0, a ≠ 1, b > 0) tenglik qaysi tenglikka teng kuchli?
A) a^c = b
B) c^a = b
C) b^c = a
D) b^a = c
To'g'ri javob: A) a^c = b
✔
4. 2^(log₂ 7) ni hisoblang.
A) 2
B) 49
C) 7
D) 14
To'g'ri javob: C) 7
✔
5. y = log_a x (a > 0, a ≠ 1) funksiyaning qiymatlar sohasini toping.
A) (−∞; +∞)
B) (0; +∞)
C) (0; 1)
D) [1; +∞)
To'g'ri javob: A) (−∞; +∞)
✔
6. log₂ 5 = a bo'lsa, log₂ 40 ni a orqali ifodalang.
A) 8a
B) a + 3
C) a + 8
D) 3a
To'g'ri javob: B) a + 3
✔
11-sinf Matematika (algebra va geometriya) — BSB/CHSB mashq testlari | 44

Bo'lim (BSB): Geometriya — Ko'pyoqlarning hajmi
7. Prizma va piramidaning asoslari teng va balandliklari teng. Prizma hajmining piramida hajmiga
nisbatini toping.
A) 1 : 3
B) 3 : 1
C) 1 : 1
D) 2 : 1
To'g'ri javob: B) 3 : 1✔
8. Kubning diagonali 3√3 ga teng. Kubning hajmini toping.
A) 27√3
B) 81
C) 9
D) 27
To'g'ri javob: D) 27
✔
9. Qirrasi a ga teng muntazam tetraedrning hajmi qaysi formula bilan topiladi?
A) V = a³√2/6
B) V = a³√3/12
C) V = a³/3
D) V = a³√2/12
To'g'ri javob: D) V = a³√2/12
✔
10. To'g'ri parallelepipedning asosi diagonallari 6 va 8 bo'lgan romb, balandligi 5 ga teng. Uning
hajmini toping.
A) 120
B) 70
C) 140
D) 240
To'g'ri javob: A) 120
✔
Bo'lim (BSB): Algebra — Aniq integral va uning tatbiqlari
11. y = x² va y = x chiziqlar bilan chegaralangan figuraning yuzini toping.
A) 1/3
B) 1/6
C) 5/6
D) 1/2
To'g'ri javob: B) 1/6
✔
12. Jismning tezligi v(t) = t² + 2 (m/s). Harakat boshlangandan t = 3 s gacha jism qancha yo'l bosib
o'tadi?
A) 11 m
B) 15 m
C) 9 m
D) 27 m
To'g'ri javob: B) 15 m
✔
11-sinf Matematika (algebra va geometriya) — BSB/CHSB mashq testlari | 45

13. ∫[0; 1] f(x) dx = 3 va ∫[0; 1] g(x) dx = −1 bo'lsa, ∫[0; 1] (2f(x) − g(x)) dx ni toping.
A) 7
B) 6
C) 4
D) 5
To'g'ri javob: A) 7✔
14. ∫[0; 2] 3x² dx ni hisoblang.
A) 4
B) 12
C) 8
D) 6
To'g'ri javob: C) 8
✔
Bo'lim (BSB): Geometriya — Aylanish jismlarining hajmlari
15. Silindr shaklidagi bakning asos radiusi 0,5 m, balandligi 2 m. Bakning hajmini toping.
A) 2π m³
B) π m³
C) 0,25π m³
D) 0,5π m³
To'g'ri javob: D) 0,5π m³
✔
16. Sharning sirti 36π ga teng. Sharning hajmini toping.
A) 12π
B) 36π
C) 288π
D) 108π
To'g'ri javob: B) 36π
✔
17. Radiusi 3 ga teng sharning hajmini toping.
A) 27π
B) 36π
C) 12π
D) 108π
To'g'ri javob: B) 36π
✔
18. Sharning hajmi 288π ga teng. Uning radiusini toping.
A) 6
B) √72
C) 12
D) 8
To'g'ri javob: A) 6
✔
19. Ikki shar radiuslarining nisbati 1 : 3 ga teng. Ularning hajmlari nisbatini toping.
A) 1 : 9
B) 1 : 27
C) 1 : 81
D) 1 : 3
To'g'ri javob: B) 1 : 27
✔
11-sinf Matematika (algebra va geometriya) — BSB/CHSB mashq testlari | 46

20. Konusning yasovchisi 10 ga, asos radiusi 6 ga teng. Konusning hajmini toping.
A) 32π
B) 120π
C) 96π
D) 288π
To'g'ri javob: C) 96π✔
21. Konusning hajmi qaysi formula bilan topiladi?
A) V = (1/2)πR²h
B) V = (1/3)πRh
C) V = (1/3)πR²h
D) V = πR²h
To'g'ri javob: C) V = (1/3)πR²h
✔
Bo'lim (BSB): Algebra — Ko'rsatkichli funksiya, tenglama va tengsizliklar
22. 3^(2x − 1) ≤ 3 tengsizlikni yeching.
A) x ≤ 2
B) x ≤ 0
C) x ≤ 1/2
D) x ≤ 1
To'g'ri javob: D) x ≤ 1
✔
23. 2ˣ·3ˣ = 36 tenglamani yeching.
A) 1
B) 2
C) 6
D) 3
To'g'ri javob: B) 2
✔
24. (0,3)⁻² va (0,3)⁻³ sonlarini taqqoslang.
A) taqqoslab bo'lmaydi
B) birinchi son katta
C) sonlar teng
D) birinchi son kichik
To'g'ri javob: D) birinchi son kichik
✔
25. 4ˣ − 2ˣ − 2 = 0 tenglamani yeching.
A) 1
B) −1 va 1
C) 2
D) 0
To'g'ri javob: A) 1
✔
11-sinf Matematika (algebra va geometriya) — BSB/CHSB mashq testlari | 47

3-chorak • 2-variant (CHSB mashqi)
Bo'lim (BSB): Algebra — Logarifm va logarifmik funksiya
1. log₆ 4 + log₆ 9 ni hisoblang.
A) 1
B) 13
C) 2
D) 3
To'g'ri javob: C) 2✔
2. y = lg(4 − x²) funksiyaning aniqlanish sohasini toping.
A) (−2; 2)
B) (−4; 4)
C) (−∞; 2)
D) (0; 2)
To'g'ri javob: A) (−2; 2)
✔
Bo'lim (BSB): Geometriya — Ko'pyoqlarning hajmi
3. Muntazam to'rtburchakli piramidaning barcha qirralari 6 ga teng. Uning hajmini toping.
A) 36√2
B) 72√2
C) 12√2
D) 36
To'g'ri javob: A) 36√2
✔
4. Kubning hajmi 64 sm³. Uning to'la sirtini toping.
A) 16 sm²
B) 64 sm²
C) 96 sm²
D) 128 sm²
To'g'ri javob: C) 96 sm²
✔
5. Muntazam oltiburchakli prizmaning asos tomoni 2 ga, balandligi 3 ga teng. Uning hajmini toping.
A) 18
B) 36√3
C) 6√3
D) 18√3
To'g'ri javob: D) 18√3
✔
6. Hovuzning o'lchamlari 25 m × 10 m × 2 m. To'la hovuzda necha litr suv bor (1 m³ = 1000 l)?
A) 5 000 000 l
B) 500 000 l
C) 50 000 l
D) 5 000 l
To'g'ri javob: B) 500 000 l
✔
11-sinf Matematika (algebra va geometriya) — BSB/CHSB mashq testlari | 48

7. Kesik piramidaning balandligi 3 ga, asoslarining yuzlari 4 va 16 ga teng. Uning hajmini toping.
A) 20
B) 60
C) 84
D) 28
To'g'ri javob: D) 28✔
8. Muntazam uchburchakli prizmaning asos tomoni 4 ga, balandligi 5 ga teng. Uning hajmini toping.
A) 80
B) 20√3
C) 20
D) 40√3
To'g'ri javob: B) 20√3
✔
9. Qirrasi 5 sm bo'lgan kubning hajmini toping.
A) 75 sm³
B) 150 sm³
C) 25 sm³
D) 125 sm³
To'g'ri javob: D) 125 sm³
✔
10. Kubning qirrasi 3 marta orttirilsa, uning hajmi necha marta ortadi?
A) 81
B) 9
C) 3
D) 27
To'g'ri javob: D) 27
✔
Bo'lim (BSB): Algebra — Aniq integral va uning tatbiqlari
11. ∫[1; e] (1/x) dx ni hisoblang.
A) 1
B) 0
C) e
D) e − 1
To'g'ri javob: A) 1
✔
12. ∫[0; 1] eˣ dx ni hisoblang.
A) 1/e
B) e
C) e − 1
D) 1
To'g'ri javob: C) e − 1
✔
13. ∫[a; b] f(x) dx = 5 bo'lsa, ∫[b; a] f(x) dx nimaga teng?
A) 1/5
B) −5
C) 0
D) 10
To'g'ri javob: B) −5
✔
11-sinf Matematika (algebra va geometriya) — BSB/CHSB mashq testlari | 49

14. ∫[0; 4] √x dx ni hisoblang.
A) 8
B) 16/3
C) 2/3
D) 4
To'g'ri javob: B) 16/3✔
Bo'lim (BSB): Geometriya — Aylanish jismlarining hajmlari
15. Shar silindrga ichki chizilgan. Shar hajmining silindr hajmiga nisbatini toping.
A) 1 : 2
B) 2 : 3
C) 3 : 4
D) 1 : 3
To'g'ri javob: B) 2 : 3
✔
16. Konusning o'q kesimi tomoni 6 ga teng bo'lgan teng tomonli uchburchak. Konusning hajmini
toping.
A) 9√3π
B) 3√3π
C) 9π
D) 27√3π
To'g'ri javob: A) 9√3π
✔
17. Tomonlari 2 va 5 bo'lgan to'g'ri to'rtburchak uzunroq tomoni atrofida aylantirildi. Hosil bo'lgan
silindrning hajmini toping.
A) 50π
B) 10π
C) 40π
D) 20π
To'g'ri javob: D) 20π
✔
18. Silindr va konusning asoslari teng va balandliklari teng. Silindr hajmi konus hajmidan necha marta
katta?
A) 9
B) 3
C) 2
D) 1,5
To'g'ri javob: B) 3
✔
19. Silindrning asos radiusi 3 ga, balandligi 4 ga teng. Uning hajmini toping.
A) 48π
B) 36π
C) 12π
D) 24π
To'g'ri javob: B) 36π
✔
11-sinf Matematika (algebra va geometriya) — BSB/CHSB mashq testlari | 50

20. y = √x (0 ≤ x ≤ 4) egri chiziq Ox o'qi atrofida aylantirilganda hosil bo'lgan jismning hajmini toping.
A) 16π
B) 4π
C) 8π
D) 8π/3
To'g'ri javob: C) 8π✔
21. y = x (0 ≤ x ≤ 3) kesma Ox o'qi atrofida aylantirilganda hosil bo'lgan jismning hajmini toping.
A) 18π
B) 27π
C) 3π
D) 9π
To'g'ri javob: D) 9π
✔
Bo'lim (BSB): Algebra — Ko'rsatkichli funksiya, tenglama va tengsizliklar
22. Quyidagi funksiyalardan qaysi biri kamayuvchi?
A) y = 2ˣ
B) y = (0,7)ˣ
C) y = (√3)ˣ
D) y = (1,5)ˣ
To'g'ri javob: B) y = (0,7)ˣ
✔
23. (1/2)ˣ = 16 tenglamani yeching.
A) −4
B) 8
C) 1/4
D) −2
To'g'ri javob: A) −4
✔
24. (1/3)ˣ ≥ 9 tengsizlikni yeching.
A) x ≥ 9
B) x ≤ 0
C) x ≥ 3
D) x ≤ −2
To'g'ri javob: D) x ≤ −2
✔
25. 3^(x − 1) = 27 tenglamani yeching.
A) 3
B) 2
C) 4
D) 9
To'g'ri javob: C) 4
✔
11-sinf Matematika (algebra va geometriya) — BSB/CHSB mashq testlari | 51

3-chorak • 3-variant (CHSB mashqi)
Bo'lim (BSB): Algebra — Logarifm va logarifmik funksiya
1. log₃ 0,5 sonining ishorasi qanday?
A) manfiy
B) musbat
C) nolga teng
D) ishorani aniqlab bo'lmaydi
To'g'ri javob: A) manfiy✔
2. log₅ 1 ni hisoblang.
A) 0
B) 1/5
C) 1
D) 5
To'g'ri javob: A) 0
✔
3. y = log₂(x − 3) funksiyaning aniqlanish sohasini toping.
A) (0; 3)
B) (0; +∞)
C) (3; +∞)
D) (4; +∞)
To'g'ri javob: C) (3; +∞)
✔
4. lg 2 = a bo'lsa, lg 5 ni a orqali ifodalang.
A) 10 − a
B) 5 − a
C) 5a/2
D) 1 − a
To'g'ri javob: D) 1 − a
✔
Bo'lim (BSB): Geometriya — Ko'pyoqlarning hajmi
5. Kubning hajmi 8 ga teng. Kubning bir uchidan chiqqan uchta qirraning boshqa uchlari orqali tekislik
o'tkazildi. Kesib olingan uchburchakli piramidaning hajmini toping.
A) 4/3
B) 4
C) 2
D) 8/3
To'g'ri javob: A) 4/3
✔
6. Piramidaning hajmi 40 ga, asos yuzi 12 ga teng. Uning balandligini toping.
A) 3
B) 10/3
C) 10
D) 20
To'g'ri javob: C) 10
✔
11-sinf Matematika (algebra va geometriya) — BSB/CHSB mashq testlari | 52

7. Uchburchakli piramidaning uchidagi uchta yassi burchagi to'g'ri burchak, shu uchdan chiqqan
qirralari 3, 4 va 5 ga teng. Piramidaning hajmini toping.
A) 30
B) 20
C) 10
D) 60
To'g'ri javob: C) 10✔
Bo'lim (BSB): Algebra — Aniq integral va uning tatbiqlari
8. ∫[0; π/2] cos x dx ni hisoblang.
A) 1
B) 2
C) 0
D) π/2
To'g'ri javob: A) 1
✔
9. ∫[−1; 1] x³ dx ni hisoblang.
A) 0
B) 1/4
C) 1/2
D) 2
To'g'ri javob: A) 0
✔
10. ∫[0; ln 2] eˣ dx ni hisoblang.
A) 1
B) e
C) 2
D) ln 2
To'g'ri javob: A) 1
✔
11. y = 1/x giperbola, x = 1, x = e² to'g'ri chiziqlar va Ox o'qi bilan chegaralangan figuraning yuzini
toping.
A) e² − 1
B) 2
C) e²
D) 1
To'g'ri javob: B) 2
✔
12. y = 4 − x² parabola va Ox o'qi bilan chegaralangan figuraning yuzini toping.
A) 16/3
B) 32/3
C) 64/3
D) 8
To'g'ri javob: B) 32/3
✔
13. ∫[1; 4] (2x − 1) dx ni hisoblang.
A) 15
B) 6
C) 9
D) 12
To'g'ri javob: D) 12
✔
11-sinf Matematika (algebra va geometriya) — BSB/CHSB mashq testlari | 53

14. a > 0 bo'lsa, ∫[0; a] 2x dx = 9 tenglikdan a ni toping.
A) 9
B) 81
C) 3
D) 4,5
To'g'ri javob: C) 3✔
15. ∫[0; 1] (x + 1)² dx ni hisoblang.
A) 8/3
B) 4
C) 7/3
D) 1/3
To'g'ri javob: C) 7/3
✔
16. y = x³ egri chiziq, x = 2 to'g'ri chiziq va Ox o'qi bilan chegaralangan figuraning yuzini toping.
A) 8
B) 2
C) 16
D) 4
To'g'ri javob: D) 4
✔
Bo'lim (BSB): Geometriya — Aylanish jismlarining hajmlari
17. Kesik konusning hajmi qaysi formula bilan topiladi (R, r — asoslar radiuslari, h — balandlik)?
A) V = (1/3)πh(R² + r²)
B) V = (1/3)πh(R² + Rr + r²)
C) V = πh(R² + Rr + r²)
D) V = (1/3)πh(R + r)²
To'g'ri javob: B) V = (1/3)πh(R² + Rr + r²)
✔
18. Konusning asos radiusi 3 ga, balandligi 4 ga teng. Uning hajmini toping.
A) 36π
B) 12π
C) 15π
D) 4π
To'g'ri javob: B) 12π
✔
19. Silindrning hajmi qaysi formula bilan topiladi?
A) V = 2πRh
B) V = πRh²
C) V = πR²h
D) V = (1/3)πR²h
To'g'ri javob: C) V = πR²h
✔
20. Katetlari 3 va 4 bo'lgan to'g'ri burchakli uchburchak uzunligi 3 ga teng kateti atrofida aylantirildi.
Hosil bo'lgan jismning hajmini toping.
A) 48π
B) 16π
C) 12π
D) 9π
To'g'ri javob: B) 16π
✔
11-sinf Matematika (algebra va geometriya) — BSB/CHSB mashq testlari | 54

21. Silindrning o'q kesimi tomoni 6 ga teng kvadrat. Silindrning hajmini toping.
A) 108π
B) 216π
C) 18π
D) 54π
To'g'ri javob: D) 54π✔
Bo'lim (BSB): Algebra — Ko'rsatkichli funksiya, tenglama va tengsizliklar
22. 4ˣ = 8 tenglamani yeching.
A) 0,75
B) 2
C) 2/3
D) 1,5
To'g'ri javob: D) 1,5
✔
23. y = aˣ (a > 0, a ≠ 1) ko'rsatkichli funksiyaning aniqlanish sohasini toping.
A) (0; +∞)
B) (−∞; +∞)
C) x ≠ 0
D) (1; +∞)
To'g'ri javob: B) (−∞; +∞)
✔
24. 2ˣ = 32 tenglamani yeching.
A) 5
B) 4
C) 6
D) 16
To'g'ri javob: A) 5
✔
25. Bankka 1 000 000 so'm yillik 10 % li murakkab foiz bilan qo'yildi. 2 yildan keyin hisobda qancha pul
bo'ladi?
A) 1 100 000 so'm
B) 1 210 000 so'm
C) 1 200 000 so'm
D) 1 221 000 so'm
To'g'ri javob: B) 1 210 000 so'm
✔
11-sinf Matematika (algebra va geometriya) — BSB/CHSB mashq testlari | 55

3-chorak • 4-variant (CHSB mashqi)
Bo'lim (BSB): Algebra — Logarifm va logarifmik funksiya
1. log₂ 3 · log₃ 8 ni hisoblang.
A) 1
B) 24
C) 8
D) 3
To'g'ri javob: D) 3✔
2. 9^(log₃ 2) ni hisoblang.
A) 6
B) 2
C) 8
D) 4
To'g'ri javob: D) 4
✔
3. lg 1000 ni hisoblang.
A) 3
B) 2
C) 10
D) 4
To'g'ri javob: A) 3
✔
4. y = aˣ va y = log_a x funksiyalarning grafiklari o'zaro qanday joylashgan?
A) Oy o'qiga nisbatan simmetrik
B) koordinatalar boshiga nisbatan simmetrik
C) y = x to'g'ri chiziqqa nisbatan simmetrik
D) Ox o'qiga nisbatan simmetrik
To'g'ri javob: C) y = x to'g'ri chiziqqa nisbatan simmetrik
✔
5. ln e² ni hisoblang.
A) 2
B) 2e
C) 1
D) e
To'g'ri javob: A) 2
✔
6. y = log_a x (a > 0, a ≠ 1) funksiyaning aniqlanish sohasini toping.
A) (0; +∞)
B) x ≠ 0
C) (1; +∞)
D) (−∞; +∞)
To'g'ri javob: A) (0; +∞)
✔
11-sinf Matematika (algebra va geometriya) — BSB/CHSB mashq testlari | 56

7. Logarifmning yangi asosga o'tish formulasini ko'rsating (a, b, c > 0; a ≠ 1, c ≠ 1).
A) log_a b = log_c(b/a)
B) log_a b = log_c b / log_c a
C) log_a b = log_c a / log_c b
D) log_a b = log_b c / log_a c
To'g'ri javob: B) log_a b = log_c b / log_c a✔
Bo'lim (BSB): Geometriya — Ko'pyoqlarning hajmi
8. Muntazam to'rtburchakli piramidaning asos tomoni 6 ga, balandligi 5 ga teng. Uning hajmini
toping.
A) 60
B) 180
C) 90
D) 30
To'g'ri javob: A) 60
✔
9. Kesik piramidaning hajmi qaysi formula bilan topiladi (S1, S2 — asoslar yuzlari, h — balandlik)?
A) V = (1/3)h(S1 + √(S1·S2) + S2)
B) V = (1/2)h(S1 + S2)
C) V = h(S1 + √(S1·S2) + S2)
D) V = (1/3)h(S1 + S2)
To'g'ri javob: A) V = (1/3)h(S1 + √(S1·S2) + S2)
✔
10. To'g'ri burchakli parallelepipedning o'lchamlari 2 sm, 3 sm va 7 sm. Uning hajmini toping.
A) 12 sm³
B) 42 sm³
C) 24 sm³
D) 82 sm³
To'g'ri javob: B) 42 sm³
✔
11. To'g'ri burchakli parallelepiped uchta yog'ining yuzlari 6, 10 va 15 ga teng. Uning hajmini toping.
A) 31
B) 60
C) 30
D) 900
To'g'ri javob: C) 30
✔
12. Prizmaning hajmi qaysi formula bilan topiladi (S — asos yuzi, h — balandlik)?
A) V = (1/2)S·h
B) V = 2S·h
C) V = (1/3)S·h
D) V = S·h
To'g'ri javob: D) V = S·h
✔
13. Qirrasi 6 ga teng muntazam tetraedrning hajmini toping.
A) 18√3
B) 72
C) 18√2
D) 36√2
To'g'ri javob: C) 18√2
✔
11-sinf Matematika (algebra va geometriya) — BSB/CHSB mashq testlari | 57

Bo'lim (BSB): Algebra — Aniq integral va uning tatbiqlari
14. y = x² − 2x parabola va Ox o'qi bilan chegaralangan figuraning yuzini toping.
A) 1
B) 4/3
C) 8/3
D) 2/3
To'g'ri javob: B) 4/3✔
15. ∫[0; π/4] (1/cos²x) dx ni hisoblang.
A) 1
B) 0
C) √2/2
D) π/4
To'g'ri javob: A) 1
✔
Bo'lim (BSB): Geometriya — Aylanish jismlarining hajmlari
16. Silindrga konus ichki chizilgan: ularning asoslari va balandligi umumiy. Silindrning hajmi 30 ga
teng. Konusning hajmini toping.
A) 15
B) 10
C) 20
D) 90
To'g'ri javob: B) 10
✔
17. y = f(x) ≥ 0 (a ≤ x ≤ b) egri chiziqli trapetsiyani Ox o'qi atrofida aylantirishdan hosil bo'lgan jismning
hajmi qanday topiladi?
A) V = ∫[a; b] f²(x) dx
B) V = 2π∫[a; b] f(x) dx
C) V = π∫[a; b] f²(x) dx
D) V = π∫[a; b] f(x) dx
To'g'ri javob: C) V = π∫[a; b] f²(x) dx
✔
18. Radiusi 3 ga teng yarim sharning hajmini toping.
A) 18π
B) 36π
C) 9π
D) 27π
To'g'ri javob: A) 18π
✔
Bo'lim (BSB): Algebra — Ko'rsatkichli funksiya, tenglama va tengsizliklar
19. 9ˣ − 4·3ˣ + 3 = 0 tenglamaning ildizlarini toping.
A) 0; 3
B) 0; 1
C) 1; 3
D) 1
To'g'ri javob: B) 0; 1
✔
11-sinf Matematika (algebra va geometriya) — BSB/CHSB mashq testlari | 58

20. 8^(2/3) ni hisoblang.
A) 2
B) 6
C) 16/3
D) 4
To'g'ri javob: D) 4✔
21. 7^(x² − 4) = 1 tenglamani yeching.
A) x = ±2
B) x = 0
C) x = ±√5
D) x = 4
To'g'ri javob: A) x = ±2
✔
22. 27^(−1/3) ni hisoblang.
A) 1/3
B) 1/9
C) −3
D) 9
To'g'ri javob: A) 1/3
✔
23. 5^(2x) = 1/25 tenglamani yeching.
A) −2
B) 0
C) −1/2
D) −1
To'g'ri javob: D) −1
✔
24. y = 2ˣ + 3 funksiyaning qiymatlar sohasini toping.
A) (−∞; +∞)
B) (3; +∞)
C) (0; +∞)
D) (0; 3)
To'g'ri javob: B) (3; +∞)
✔
25. 5^(x − 2) < 1 tengsizlikni yeching.
A) x < 2
B) x > 1
C) x < 0
D) x < 3
To'g'ri javob: A) x < 2
✔
11-sinf Matematika (algebra va geometriya) — BSB/CHSB mashq testlari | 59

3-chorak • 5-variant (CHSB mashqi)
Bo'lim (BSB): Algebra — Logarifm va logarifmik funksiya
1. log₂ 8 ni hisoblang.
A) 1/3
B) 4
C) 3
D) 2
To'g'ri javob: C) 3✔
2. log₀,₅ 3 va log₀,₅ 5 sonlarini taqqoslang.
A) birinchi son kichik
B) sonlar teng
C) birinchi son katta
D) taqqoslab bo'lmaydi
To'g'ri javob: C) birinchi son katta
✔
3. log₂ 48 − log₂ 3 ni hisoblang.
A) 4
B) 3
C) 16
D) 5
To'g'ri javob: A) 4
✔
4. log₃(1/9) ni hisoblang.
A) 1/2
B) −2
C) −9
D) −3
To'g'ri javob: B) −2
✔
5. log₄ 2 ni hisoblang.
A) 4
B) 1/4
C) 1/2
D) 2
To'g'ri javob: C) 1/2
✔
6. log₅ 25³ ni hisoblang.
A) 9
B) 5
C) 6
D) 3
To'g'ri javob: C) 6
✔
11-sinf Matematika (algebra va geometriya) — BSB/CHSB mashq testlari | 60

Bo'lim (BSB): Geometriya — Ko'pyoqlarning hajmi
7. To'g'ri prizmaning asosi katetlari 3 va 4 bo'lgan to'g'ri burchakli uchburchak, balandligi 10 ga teng.
Prizmaning hajmini toping.
A) 70
B) 120
C) 40
D) 60
To'g'ri javob: D) 60✔
8. Piramidaning barcha chiziqli o'lchamlari 2 marta kichraytirilsa, uning hajmi necha marta kamayadi?
A) 8
B) 6
C) 4
D) 2
To'g'ri javob: A) 8
✔
9. Muntazam to'rtburchakli piramidaning asos tomoni 8 ga, apofemasi 5 ga teng. Uning hajmini
toping.
A) 80
B) 320/3
C) 192
D) 64
To'g'ri javob: D) 64
✔
10. Piramidaning hajmi qaysi formula bilan topiladi (S — asos yuzi, h — balandlik)?
A) V = (2/3)S·h
B) V = (1/2)S·h
C) V = S·h
D) V = (1/3)S·h
To'g'ri javob: D) V = (1/3)S·h
✔
Bo'lim (BSB): Algebra — Aniq integral va uning tatbiqlari
11. ∫[1; 3] f(x) dx = 4 va ∫[3; 5] f(x) dx = 2 bo'lsa, ∫[1; 5] f(x) dx ni toping.
A) 2
B) 6
C) 8
D) 4
To'g'ri javob: B) 6
✔
12. y = x² parabola, x = 3 to'g'ri chiziq va Ox o'qi bilan chegaralangan figuraning yuzini toping.
A) 9
B) 6
C) 27
D) 3
To'g'ri javob: A) 9
✔
11-sinf Matematika (algebra va geometriya) — BSB/CHSB mashq testlari | 61

13. y = f(x) ≥ 0 uzluksiz funksiya grafigi, x = a, x = b (a < b) to'g'ri chiziqlar va Ox o'qi bilan
chegaralangan egri chiziqli trapetsiyaning yuzi qanday topiladi (F — f ning boshlang'ich funksiyasi)?
A) S = F(b) − F(a)
B) S = F(a) − F(b)
C) S = F(b − a)
D) S = (F(b) − F(a))·(b − a)
To'g'ri javob: A) S = F(b) − F(a)✔
14. ∫[a; a] f(x) dx nimaga teng? ([a; b] — integrallash chegaralari)
A) 2f(a)
B) 0
C) f(a)
D) 1
To'g'ri javob: B) 0
✔
15. ∫[0; π] sin x dx ni hisoblang.
A) 2
B) 1
C) 0
D) π
To'g'ri javob: A) 2
✔
16. y = sin x (0 ≤ x ≤ 2π) grafigi va Ox o'qi bilan chegaralangan figuralar yuzlarining yig'indisini toping.
A) 2π
B) 0
C) 4
D) 2
To'g'ri javob: C) 4
✔
Bo'lim (BSB): Geometriya — Aylanish jismlarining hajmlari
17. Qirrasi 2 ga teng kubga ichki chizilgan sharning hajmini toping.
A) 32π/3
B) 4π/3
C) π/3
D) 4π
To'g'ri javob: B) 4π/3
✔
18. Sharning hajmi qaysi formula bilan topiladi?
A) V = (4/3)πR³
B) V = (2/3)πR³
C) V = (4/3)πR²
D) V = 4πR²
To'g'ri javob: A) V = (4/3)πR³
✔
19. Kesik konusning balandligi 3 ga, asoslarining radiuslari 4 va 2 ga teng. Uning hajmini toping.
A) 84π
B) 20π
C) 28π
D) 36π
To'g'ri javob: C) 28π
✔
11-sinf Matematika (algebra va geometriya) — BSB/CHSB mashq testlari | 62

Bo'lim (BSB): Algebra — Ko'rsatkichli funksiya, tenglama va tengsizliklar
20. y = aˣ (a > 0, a ≠ 1) ko'rsatkichli funksiyaning qiymatlar sohasini toping.
A) [1; +∞)
B) (0; 1)
C) (−∞; +∞)
D) (0; +∞)
To'g'ri javob: D) (0; +∞)✔
21. a > 1 bo'lsa, y = aˣ funksiya qanday funksiya bo'ladi?
A) juft
B) o'suvchi
C) o'zgarmas
D) kamayuvchi
To'g'ri javob: B) o'suvchi
✔
22. (2³)²·2⁻⁴ ifodaning qiymatini toping.
A) 8
B) 4
C) 1/4
D) 2
To'g'ri javob: B) 4
✔
23. 2^(x + 1) + 2ˣ = 24 tenglamani yeching.
A) 8
B) 4
C) 3
D) 2
To'g'ri javob: C) 3
✔
24. y = aˣ (a > 0, a ≠ 1) funksiyaning grafigi a ning har qanday qiymatida qaysi nuqtadan o'tadi?
A) (0; 1)
B) (1; 0)
C) (0; 0)
D) (1; 1)
To'g'ri javob: A) (0; 1)
✔
25. 2ˣ > 8 tengsizlikni yeching.
A) x > 8
B) x > 4
C) x > 3
D) x > 2
To'g'ri javob: C) x > 3
✔
11-sinf Matematika (algebra va geometriya) — BSB/CHSB mashq testlari | 63

4-chorak • 1-variant (CHSB mashqi)
Bo'lim (BSB): Geometriya — Fazoda Dekart koordinatalari
1. Uchta koordinata tekisligi fazoni nechta qismga (oktantga) ajratadi?
A) 6
B) 4
C) 3
D) 8
To'g'ri javob: D) 8✔
2. A(2; −3; 5) nuqtaning Oxy tekisligidagi proyeksiyasini toping.
A) (2; 0; 5)
B) (0; −3; 5)
C) (2; −3; 0)
D) (0; 0; 5)
To'g'ri javob: C) (2; −3; 0)
✔
3. M(4; −1; 2) nuqtaga Ox o'qiga nisbatan simmetrik nuqtani toping.
A) (0; −1; 2)
B) (2; −1; 4)
C) (4; 0; 0)
D) (4; 1; −2)
To'g'ri javob: D) (4; 1; −2)
✔
4. Kubning bir uchi O(0; 0; 0) nuqtada, O dan chiquvchi qirralari koordinata o'qlarining musbat
yo'nalishlari bo'ylab yo'nalgan va uzunligi 2 ga teng. Kubning O ga qarama-qarshi uchini toping.
A) (2; 2; 2)
B) (2; 2; 0)
C) (1; 1; 1)
D) (0; 2; 2)
To'g'ri javob: A) (2; 2; 2)
✔
5. Ox o'qida A(1; 2; 3) va B(3; 4; 5) nuqtalardan teng uzoqlikda joylashgan nuqtani toping.
A) (6; 0; 0)
B) (9; 0; 0)
C) (2; 0; 0)
D) (4; 0; 0)
To'g'ri javob: B) (9; 0; 0)
✔
6. A(1; 2; 0) va B(x; 2; 4) nuqtalar orasidagi masofa 5 ga teng. x ni toping.
A) −4 yoki 2
B) −2 yoki 4
C) faqat 4
D) 2 yoki −2
To'g'ri javob: B) −2 yoki 4
✔
11-sinf Matematika (algebra va geometriya) — BSB/CHSB mashq testlari | 64

Bo'lim (BSB): Algebra — Ehtimollik nazariyasi elementlari
7. Lotereyada 1000 ta bilet bor, ulardan 10 tasi yutuqli. Sotib olingan bitta biletning yutuqli bo'lish
ehtimolini toping.
A) 0,99
B) 0,01
C) 0,001
D) 0,1
To'g'ri javob: B) 0,01✔
8. 1 dan 30 gacha bo'lgan natural sonlardan biri tasodifan tanlandi. Uning tub son bo'lish ehtimolini
toping.
A) 1/3
B) 1/2
C) 3/10
D) 11/30
To'g'ri javob: A) 1/3
✔
9. 1 dan 20 gacha bo'lgan natural sonlardan biri tasodifan tanlandi. Uning 5 ga karrali bo'lish
ehtimolini toping.
A) 1/4
B) 1/5
C) 1/20
D) 1/2
To'g'ri javob: B) 1/5
✔
10. Tanga ikki marta tashlandi. Ikkala marta ham gerb tushish ehtimolini toping.
A) 1/3
B) 1/4
C) 3/4
D) 1/2
To'g'ri javob: B) 1/4
✔
11. [0; 10] kesmadan tasodifan nuqta tanlandi. Uning [2; 5] kesmaga tushish ehtimolini toping.
A) 0,3
B) 0,2
C) 0,5
D) 0,7
To'g'ri javob: A) 0,3
✔
12. Ikki mergan nishonga bittadan o'q uzdi. Ularning nishonga tekkizish ehtimollari mos ravishda 0,8
va 0,7. Ikkalasi ham nishonga tekkizish ehtimolini toping.
A) 0,75
B) 0,56
C) 0,94
D) 1,5
To'g'ri javob: B) 0,56
✔
11-sinf Matematika (algebra va geometriya) — BSB/CHSB mashq testlari | 65

13. Tanga 200 marta tashlanganda 50 marta raqam tushdi. «Raqam tushish» hodisasining nisbiy
chastotasini toping.
A) 0,2
B) 0,25
C) 0,5
D) 4
To'g'ri javob: B) 0,25✔
Bo'lim (BSB): Algebra — Kombinatorika elementlari
14. n ta elementdan k tadan guruhlashlar soni C_n^k qaysi formula bilan topiladi?
A) (n − k)!/k!
B) n!/(k!(n − k)!)
C) n!/(n − k)!
D) n!/k!
To'g'ri javob: B) n!/(k!(n − k)!)
✔
15. 8 nafar o'quvchidan sinf sardori va uning o'rinbosarini necha xil usulda saylash mumkin?
A) 64
B) 56
C) 28
D) 16
To'g'ri javob: B) 56
✔
Bo'lim (BSB): Geometriya — Fazoda vektorlar
16. a(x; 2; 3) va b(4; y; 3) vektorlar teng. x + y ni toping.
A) 5
B) 7
C) 8
D) 6
To'g'ri javob: D) 6
✔
17. |a| = 2, |b| = 3 va a, b vektorlar orasidagi burchak 60° bo'lsa, a·b ni toping.
A) 3√3
B) 3
C) 1,5
D) 6
To'g'ri javob: B) 3
✔
18. Noldan farqli a va b vektorlar uchun a·b < 0 bo'lsa, ular orasidagi burchak qanday bo'ladi?
A) to'g'ri
B) o'tmas
C) o'tkir
D) nolga teng
To'g'ri javob: B) o'tmas
✔
11-sinf Matematika (algebra va geometriya) — BSB/CHSB mashq testlari | 66

19. a(1; 0; 0) va b(1; 1; 0) vektorlar orasidagi burchakni toping.
A) 90°
B) 60°
C) 30°
D) 45°
To'g'ri javob: D) 45°✔
20. a(1; −2; 3) va b(2; 0; −1) vektorlar yig'indisini toping.
A) (−1; −2; 4)
B) (2; 0; −3)
C) (3; −2; 2)
D) (3; −2; 4)
To'g'ri javob: C) (3; −2; 2)
✔
Bo'lim (BSB): Algebra — Logarifmik tenglama va tengsizliklar
21. lg x + lg 4 = lg 20 tenglamani yeching.
A) 80
B) 24
C) 5
D) 16
To'g'ri javob: C) 5
✔
22. lg x = −2 tenglamani yeching.
A) −100
B) 0,01
C) −20
D) 0,1
To'g'ri javob: B) 0,01
✔
23. log₂(x² − 3x) ≥ 2 tengsizlikni yeching.
A) (−∞; 0) (3; +∞)
∪
B) (−∞; −1] [4; +∞)
∪
C) [4; +∞)
D) [−1; 0) (3; 4]
∪
To'g'ri javob: B) (−∞; −1]
⊥ [4; +∞) ✔
24. log₃(x − 2) + log₃(x − 6) = log₃ 5 tenglamani yeching.
A) 1; 7
B) 1
C) 7
D) 5
To'g'ri javob: C) 7
✔
25. log₀,₅ x > 1 tengsizlikni yeching.
A) 0 < x < 2
B) x > 0,5
C) x > 2
D) 0 < x < 0,5
To'g'ri javob: D) 0 < x < 0,5
✔
11-sinf Matematika (algebra va geometriya) — BSB/CHSB mashq testlari | 67

4-chorak • 2-variant (CHSB mashqi)
Bo'lim (BSB): Geometriya — Fazoda Dekart koordinatalari
1. Quyidagi nuqtalardan qaysi biri Oy o'qida yotadi?
A) (0; −7; 1)
B) (0; 0; −7)
C) (−7; 0; 0)
D) (0; −7; 0)
To'g'ri javob: D) (0; −7; 0)✔
2. A(x1; y1; z1) va B(x2; y2; z2) nuqtalar orasidagi masofa qaysi formula bilan topiladi?
A) √((x2 − x1)² + (y2 − y1)²)
B) √(x2² + y2² + z2²) − √(x1² + y1² + z1²)
C) |x2 − x1| + |y2 − y1| + |z2 − z1|
D) √((x2 − x1)² + (y2 − y1)² + (z2 − z1)²)
To'g'ri javob: D) √((x2 − x1)² + (y2 − y1)² + (z2 − z1)²)
✔
3. A(0; 0; 0) va B(3; 6; 9) nuqtalar berilgan. AB kesmada AM : MB = 1 : 2 bo'ladigan M nuqtani toping.
A) (1,5; 3; 4,5)
B) (1; 2; 3)
C) (1; 2; 6)
D) (2; 4; 6)
To'g'ri javob: B) (1; 2; 3)
✔
4. M(2; 3; −4) nuqtadan Oxy tekisligigacha bo'lgan masofani toping.
A) 4
B) 3
C) √29
D) 2
To'g'ri javob: A) 4
✔
5. M(1; 2; 3) nuqtaga Oxy tekisligiga nisbatan simmetrik nuqtani toping.
A) (1; 2; −3)
B) (3; 2; 1)
C) (0; 0; 3)
D) (1; 2; 0)
To'g'ri javob: A) (1; 2; −3)
✔
6. Uchlari A(0; 0; 0), B(3; 0; 0), C(0; 4; 0) nuqtalarda bo'lgan uchburchakning perimetrini toping.
A) 14
B) 7
C) 12
D) 10
To'g'ri javob: C) 12
✔
11-sinf Matematika (algebra va geometriya) — BSB/CHSB mashq testlari | 68

Bo'lim (BSB): Algebra — Ehtimollik nazariyasi elementlari
7. Ikkita o'yin kubigi tashlandi. Tushgan ochkolar yig'indisi 7 ga teng bo'lish ehtimolini toping.
A) 1/3
B) 1/6
C) 7/36
D) 1/12
To'g'ri javob: B) 1/6✔
8. O'yin kubigi ikki marta tashlandi. Ikkala marta ham 6 ochko tushish ehtimolini toping.
A) 1/6
B) 1/36
C) 1/12
D) 1/3
To'g'ri javob: B) 1/36
✔
9. Muqarrar hodisaning ehtimoli nimaga teng?
A) 0
B) 2
C) 0,5
D) 1
To'g'ri javob: D) 1
✔
10. P(A) = 0,3 bo'lsa, qarama-qarshi Ā hodisaning ehtimolini toping.
A) 0,7
B) 0,03
C) 1,3
D) 0,3
To'g'ri javob: A) 0,7
✔
Bo'lim (BSB): Algebra — Kombinatorika elementlari
11. Qavariq sakkizburchakning nechta diagonali bor?
A) 20
B) 28
C) 40
D) 16
To'g'ri javob: A) 20
✔
12. 1, 2, 3, 4, 5 raqamlaridan raqamlari takrorlanishi mumkin bo'lgan nechta uch xonali son tuzish
mumkin?
A) 60
B) 15
C) 125
D) 243
To'g'ri javob: C) 125
✔
13. 5! ni hisoblang.
A) 25
B) 60
C) 720
D) 120
To'g'ri javob: D) 120
✔
11-sinf Matematika (algebra va geometriya) — BSB/CHSB mashq testlari | 69

Bo'lim (BSB): Geometriya — Fazoda vektorlar
14. m ning qanday qiymatida a(2; −4; 6) va b(1; m; 3) vektorlar kollinear bo'ladi?
A) −8
B) −2
C) −1/2
D) −4
To'g'ri javob: B) −2✔
15. a(2; 3; 6) bo'lsa, |2a| ni toping.
A) 14
B) 7
C) 22
D) 98
To'g'ri javob: A) 14
✔
16. a(1; 1; 0) va b(0; 1; 1) vektorlar orasidagi burchakni toping.
A) 60°
B) 45°
C) 30°
D) 120°
To'g'ri javob: A) 60°
✔
17. a = 2i − 3j + k bo'lsa (i, j, k — koordinata vektorlari), a vektorning koordinatalarini toping.
A) (2; 1; −3)
B) (2; −3; 0)
C) (1; −3; 2)
D) (2; −3; 1)
To'g'ri javob: D) (2; −3; 1)
✔
18. Noldan farqli a va b vektorlarning perpendikulyarlik sharti qanday?
A) |a| = |b|
B) a·b = 0
C) a·b = 1
D) a·b = |a|·|b|
To'g'ri javob: B) a·b = 0
✔
19. a(3; 4; 0) vektor bilan bir xil yo'nalishdagi birlik vektorni toping.
A) (0,8; 0,6; 0)
B) (3; 4; 0)
C) (0,3; 0,4; 0)
D) (0,6; 0,8; 0)
To'g'ri javob: D) (0,6; 0,8; 0)
✔
Bo'lim (BSB): Algebra — Logarifmik tenglama va tengsizliklar
20. log₁/₃(x + 2) < −1 tengsizlikni yeching.
A) x > 1
B) −2 < x < 3
C) −2 < x < 1
D) x > 3
To'g'ri javob: A) x > 1
✔
11-sinf Matematika (algebra va geometriya) — BSB/CHSB mashq testlari | 70

21. log₂ x = 5 tenglamani yeching.
A) 10
B) 7
C) 32
D) 25
To'g'ri javob: C) 32✔
22. log₅(2x + 3) = log₅ 11 tenglamani yeching.
A) 4
B) 8
C) 5,5
D) 7
To'g'ri javob: A) 4
✔
23. lg(x² − 15) = lg(2x) tenglamani yeching.
A) −3; 5
B) −3
C) 15
D) 5
To'g'ri javob: D) 5
✔
24. log₂ x = log₄ 9 tenglamani yeching.
A) 4,5
B) 9
C) 3
D) 81
To'g'ri javob: C) 3
✔
25. log₂(x − 1) ≤ 3 tengsizlikni yeching.
A) x ≤ 7
B) 1 < x ≤ 9
C) x ≤ 9
D) 1 < x ≤ 7
To'g'ri javob: B) 1 < x ≤ 9
✔
11-sinf Matematika (algebra va geometriya) — BSB/CHSB mashq testlari | 71

4-chorak • 3-variant (CHSB mashqi)
Bo'lim (BSB): Geometriya — Fazoda Dekart koordinatalari
1. A(1; 2; 3) va B(4; 6; 3) nuqtalar orasidagi masofani toping.
A) 25
B) √41
C) 5
D) 7
To'g'ri javob: C) 5✔
2. AB kesmaning o'rtasi C(1; 2; 3), A(−1; 0; 5). B nuqtaning koordinatalarini toping.
A) (2; 2; −2)
B) (0; 1; 4)
C) (3; 4; 1)
D) (3; 4; 8)
To'g'ri javob: C) (3; 4; 1)
✔
3. ABCD parallelogrammning uchta uchi A(1; 0; 2), B(3; 1; 0), C(4; 3; 1). D uchining koordinatalarini
toping.
A) (2,5; 1,5; 1,5)
B) (2; 2; 3)
C) (0; −2; 1)
D) (6; 4; −1)
To'g'ri javob: B) (2; 2; 3)
✔
4. M(3; 4; 12) nuqtadan koordinatalar boshigacha bo'lgan masofani toping.
A) 19
B) 13
C) 11
D) 17
To'g'ri javob: B) 13
✔
5. M(2; −1; 2) nuqtadan koordinatalar boshigacha bo'lgan masofani toping.
A) 9
B) 3
C) 4
D) 5
To'g'ri javob: B) 3
✔
Bo'lim (BSB): Algebra — Ehtimollik nazariyasi elementlari
6. Ixtiyoriy A hodisaning ehtimoli qaysi oraliqda bo'ladi?
A) 0 ≤ P(A) ≤ 1
B) −1 ≤ P(A) ≤ 1
C) 1 ≤ P(A) ≤ 100
D) 0 ≤ P(A) ≤ 100
To'g'ri javob: A) 0 ≤ P(A) ≤ 1
✔
11-sinf Matematika (algebra va geometriya) — BSB/CHSB mashq testlari | 72

7. Sinfda 12 nafar o'g'il bola va 18 nafar qiz bola bor. Navbatchi tasodifan tanlanganda uning qiz bola
bo'lish ehtimolini toping.
A) 2/5
B) 2/3
C) 1/18
D) 3/5
To'g'ri javob: D) 3/5✔
8. O'yin kubigi bir marta tashlandi. Juft ochko tushish ehtimolini toping.
A) 1/2
B) 1/3
C) 1/6
D) 2/3
To'g'ri javob: A) 1/2
✔
9. Klassik ta'rifga ko'ra A hodisaning ehtimoli qanday topiladi (m — A ga qulaylik tug'diruvchi hollar
soni, n — barcha teng imkoniyatli hollar soni)?
A) P(A) = m/(n + m)
B) P(A) = n/m
C) P(A) = (n − m)/n
D) P(A) = m/n
To'g'ri javob: D) P(A) = m/n
✔
Bo'lim (BSB): Algebra — Kombinatorika elementlari
10. (a + b)⁵ yoyilmasida nechta had bor?
A) 10
B) 6
C) 5
D) 32
To'g'ri javob: B) 6
✔
11. C_n^2 = 28 tenglamani yeching.
A) 14
B) 56
C) 8
D) 7
To'g'ri javob: C) 8
✔
12. Guruhlashlar sonining qaysi xossasi to'g'ri?
A) C_n^k = C_n^(n − k)
B) C_n^k = A_n^k
C) C_n^k = n·C_n^(k − 1)
D) C_n^k = C_n^(k − 1)
To'g'ri javob: A) C_n^k = C_n^(n − k)
✔
13. n ta elementdan k tadan o'rinlashtirishlar soni A_n^k qaysi formula bilan topiladi?
A) n!/(k!(n − k)!)
B) k!/(n − k)!
C) n!/(n − k)!
D) n!/k!
To'g'ri javob: C) n!/(n − k)!
✔
11-sinf Matematika (algebra va geometriya) — BSB/CHSB mashq testlari | 73

14. 5 ta turli kitobni javonga necha xil usulda bir qatorga terib qo'yish mumkin?
A) 5
B) 60
C) 25
D) 120
To'g'ri javob: D) 120✔
15. 6!/4! ni hisoblang.
A) 24
B) 120
C) 30
D) 2
To'g'ri javob: C) 30
✔
16. n ta elementdan tuzilgan o'rin almashtirishlar soni P_n nimaga teng?
A) n!
B) n(n − 1)
C) n²
D) 2ⁿ
To'g'ri javob: A) n!
✔
Bo'lim (BSB): Geometriya — Fazoda vektorlar
17. a(1; 2; 0) va b(3; −1; 4) bo'lsa, 2a − b vektorni toping.
A) (−1; 5; −4)
B) (5; 3; 4)
C) (−1; 3; −4)
D) (−2; 3; −4)
To'g'ri javob: A) (−1; 5; −4)
✔
18. a(2; −1; 2) vektor uchun a·a skalyar kvadratni toping.
A) 1
B) 9
C) 5
D) 3
To'g'ri javob: B) 9
✔
19. a(1; 0; 2) va b(1; 2; −1) bo'lsa, |a + b| ni toping.
A) √5 + √6
B) 5
C) 3
D) 9
To'g'ri javob: C) 3
✔
20. ABCD parallelogramm bo'lsa, parallelogramm qoidasiga ko'ra AB + AD vektor qaysi vektorga teng?
A) BD
B) CA
C) DB
D) AC
To'g'ri javob: D) AC
✔
11-sinf Matematika (algebra va geometriya) — BSB/CHSB mashq testlari | 74

21. a(1; 2; 3) va b(4; −5; 6) vektorlarning skalyar ko'paytmasini toping.
A) −24
B) 12
C) 32
D) 28
To'g'ri javob: B) 12✔
Bo'lim (BSB): Algebra — Logarifmik tenglama va tengsizliklar
22. log₃(x − 1) = 2 tenglamani yeching.
A) 7
B) 8
C) 9
D) 10
To'g'ri javob: D) 10
✔
23. log₂²x − 3log₂x + 2 = 0 tenglamaning ildizlarini toping.
A) 4
B) 2; 8
C) 2; 4
D) 1; 2
To'g'ri javob: C) 2; 4
✔
24. log₂ x + log₂(x − 2) = 3 tenglamani yeching.
A) −2
B) 4
C) −2; 4
D) 8
To'g'ri javob: B) 4
✔
25. log_x 16 = 2 tenglamani yeching.
A) 8
B) 4
C) 256
D) −4; 4
To'g'ri javob: B) 4
✔
11-sinf Matematika (algebra va geometriya) — BSB/CHSB mashq testlari | 75

4-chorak • 4-variant (CHSB mashqi)
Bo'lim (BSB): Geometriya — Fazoda Dekart koordinatalari
1. A(2; −1; 3) nuqtadan Oyz tekisligigacha bo'lgan masofani toping.
A) 3
B) 2
C) √14
D) 1
To'g'ri javob: B) 2✔
2. M(1; 2; 3) nuqtaga koordinatalar boshiga nisbatan simmetrik nuqtani toping.
A) (−1; −2; −3)
B) (0,5; 1; 1,5)
C) (−2; −4; −6)
D) (3; 2; 1)
To'g'ri javob: A) (−1; −2; −3)
✔
3. A(3; 0; 0) nuqta qayerda yotadi?
A) Oyz tekisligida
B) Oz o'qida
C) Oy o'qida
D) Ox o'qida
To'g'ri javob: D) Ox o'qida
✔
Bo'lim (BSB): Algebra — Ehtimollik nazariyasi elementlari
4. A va B — birgalikda bo'lmagan hodisalar, P(A) = 0,2, P(B) = 0,5. A yoki B hodisaning ro'y berish
ehtimolini toping.
A) 0,6
B) 0,3
C) 0,1
D) 0,7
To'g'ri javob: D) 0,7
✔
5. Qutida 4 ta qizil va 6 ta ko'k qalam bor. Tasodifan 2 ta qalam olindi. Ikkalasi ham qizil bo'lish
ehtimolini toping.
A) 1/5
B) 4/25
C) 2/5
D) 2/15
To'g'ri javob: D) 2/15
✔
6. 10 ta detaldan 3 tasi yaroqsiz. Tasodifan 2 ta detal olindi. Ikkalasi ham yaroqli bo'lish ehtimolini
toping.
A) 7/10
B) 7/15
C) 49/100
D) 1/2
To'g'ri javob: B) 7/15
✔
11-sinf Matematika (algebra va geometriya) — BSB/CHSB mashq testlari | 76

7. Qutida 5 ta oq va 3 ta qora shar bor. Tasodifan olingan shar oq bo'lish ehtimolini toping.
A) 5/3
B) 1/2
C) 3/8
D) 5/8
To'g'ri javob: D) 5/8✔
Bo'lim (BSB): Algebra — Kombinatorika elementlari
8. «MAKTAB» so'zidagi harflarning o'rinlarini almashtirib, nechta turli harflar ketma-ketligini hosil
qilish mumkin?
A) 180
B) 360
C) 120
D) 720
To'g'ri javob: B) 360
✔
9. A_7^2 ni hisoblang.
A) 42
B) 14
C) 21
D) 49
To'g'ri javob: A) 42
✔
10. C_7^2 ni hisoblang.
A) 14
B) 21
C) 49
D) 42
To'g'ri javob: B) 21
✔
11. 0, 1, 2, 3 raqamlaridan raqamlari takrorlanmaydigan nechta to'rt xonali son tuzish mumkin?
A) 24
B) 12
C) 18
D) 27
To'g'ri javob: C) 18
✔
12. (x + 1)⁶ yoyilmasida x³ oldidagi koeffitsiyentni toping.
A) 6
B) 15
C) 20
D) 120
To'g'ri javob: C) 20
✔
13. 10 kishidan 3 kishilik guruhni necha xil usulda tanlash mumkin?
A) 30
B) 1000
C) 720
D) 120
To'g'ri javob: D) 120
✔
11-sinf Matematika (algebra va geometriya) — BSB/CHSB mashq testlari | 77

14. 1, 2, 3, 4, 5 raqamlaridan raqamlari takrorlanmaydigan nechta uch xonali son tuzish mumkin?
A) 10
B) 60
C) 125
D) 15
To'g'ri javob: B) 60✔
Bo'lim (BSB): Geometriya — Fazoda vektorlar
15. a(1; 2; −2) vektorning uzunligini toping.
A) 9
B) 3
C) 5
D) 1
To'g'ri javob: B) 3
✔
16. AB vektor (2; −1; 3) ga, A nuqta (1; 1; 1) ga teng. B nuqtaning koordinatalarini toping.
A) (1; −1; 3)
B) (3; 0; 3)
C) (−1; 2; −2)
D) (3; 0; 4)
To'g'ri javob: D) (3; 0; 4)
✔
17. m ning qanday qiymatida a(2; m; 1) va b(1; 3; −4) vektorlar perpendikulyar bo'ladi?
A) 2/3
B) 2
C) 6
D) 3/2
To'g'ri javob: A) 2/3
✔
18. A(1; 1; 1), B(2; 1; 1), C(1; 2; 1) nuqtalar berilgan. BAC ni toping.
∠
A) 90°
B) 45°
C) 30°
D) 60°
To'g'ri javob: A) 90°
✔
19. a(1; −2; 0) bo'lsa, −3a vektorni toping.
A) (−3; 6; 0)
B) (−1/3; 2/3; 0)
C) (−3; −2; 0)
D) (−3; 6; −3)
To'g'ri javob: A) (−3; 6; 0)
✔
20. Noldan farqli a va b vektorlarning kollinearlik sharti qanday?
A) a·b = 0
B) a = k·b (k — biror son)
C) a·b = 1
D) |a| = |b|
To'g'ri javob: B) a = k·b (k — biror son)
✔
11-sinf Matematika (algebra va geometriya) — BSB/CHSB mashq testlari | 78

Bo'lim (BSB): Algebra — Logarifmik tenglama va tengsizliklar
21. 2ˣ = 5 tenglamani yeching.
A) x = log₂ 5
B) x = 5/2
C) x = √5
D) x = log₅ 2
To'g'ri javob: A) x = log₂ 5✔
22. ln x = 0 tenglamani yeching.
A) e
B) 0
C) 1
D) 1/e
To'g'ri javob: C) 1
✔
23. log₀,₂(x − 1) ≥ log₀,₂ 4 tengsizlikni yeching.
A) x > 1
B) x ≥ 5
C) 1 < x ≤ 5
D) 1 < x < 4
To'g'ri javob: C) 1 < x ≤ 5
✔
24. log₂(log₃ x) = 1 tenglamani yeching.
A) 3
B) 6
C) 9
D) 8
To'g'ri javob: C) 9
✔
25. log₇(3x + 1) = 1 tenglamani yeching.
A) 2
B) 0
C) 7/3
D) 6
To'g'ri javob: A) 2
✔
11-sinf Matematika (algebra va geometriya) — BSB/CHSB mashq testlari | 79

4-chorak • 5-variant (CHSB mashqi)
Bo'lim (BSB): Geometriya — Fazoda Dekart koordinatalari
1. Uchlari A(1; 0; 0), B(0; 1; 0), C(0; 0; 1) nuqtalarda bo'lgan uchburchak qanday uchburchak?
A) to'g'ri burchakli
B) teng tomonli
C) o'tmas burchakli
D) teng yonli, lekin teng tomonli emas
To'g'ri javob: B) teng tomonli✔
2. A(2; 4; −6) va B(4; 0; 2) nuqtalarni tutashtiruvchi kesma o'rtasining koordinatalarini toping.
A) (3; 2; −2)
B) (1; −2; 4)
C) (6; 4; −4)
D) (3; 2; −4)
To'g'ri javob: A) (3; 2; −2)
✔
3. Uchlari A(1; 2; 3), B(3; 0; 1), C(2; 4; −1) bo'lgan uchburchak medianalarining kesishish nuqtasini
toping.
A) (2; 2; 3)
B) (3; 3; 1,5)
C) (6; 6; 3)
D) (2; 2; 1)
To'g'ri javob: D) (2; 2; 1)
✔
4. Quyidagi nuqtalardan qaysi biri Oxz tekisligida yotadi?
A) (4; −1; 0)
B) (4; 0; −1)
C) (1; 1; 1)
D) (0; 4; −1)
To'g'ri javob: B) (4; 0; −1)
✔
5. M(1; −2; 3) nuqtadan Oz o'qigacha bo'lgan masofani toping.
A) 3
B) √13
C) √5
D) √10
To'g'ri javob: C) √5
✔
Bo'lim (BSB): Algebra — Ehtimollik nazariyasi elementlari
6. «O», «N», «A» harflari yozilgan uchta kartochka tasodifan bir qatorga terildi. «ONA» so'zi hosil
bo'lish ehtimolini toping.
A) 1/9
B) 1/6
C) 1/3
D) 1/27
To'g'ri javob: B) 1/6
✔
11-sinf Matematika (algebra va geometriya) — BSB/CHSB mashq testlari | 80

7. Ikki mergan nishonga bittadan o'q uzdi. Ularning nishonga tekkizish ehtimollari 0,8 va 0,7. Hech
bo'lmaganda bittasi nishonga tekkizish ehtimolini toping.
A) 0,94
B) 0,56
C) 0,06
D) 1,5
To'g'ri javob: A) 0,94✔
8. Mumkin bo'lmagan hodisaning ehtimoli nimaga teng?
A) 0,5
B) 0
C) 1/n
D) 1
To'g'ri javob: B) 0
✔
9. Ikkita o'yin kubigi tashlandi. Tushgan ochkolar yig'indisi 10 dan katta bo'lish ehtimolini toping.
A) 1/6
B) 1/18
C) 1/36
D) 1/12
To'g'ri javob: D) 1/12
✔
10. Tanga 3 marta tashlandi. Kamida bir marta gerb tushish ehtimolini toping.
A) 1/2
B) 7/8
C) 1/8
D) 3/8
To'g'ri javob: B) 7/8
✔
11. O'yin kubigi bir marta tashlandi. 5 dan katta ochko tushish ehtimolini toping.
A) 1/3
B) 5/6
C) 1/2
D) 1/6
To'g'ri javob: D) 1/6
✔
Bo'lim (BSB): Algebra — Kombinatorika elementlari
12. 0! nimaga teng?
A) aniqlanmagan
B) 0
C) 2
D) 1
To'g'ri javob: D) 1
✔
13. Turnirda 6 ta jamoa qatnashdi va har bir jamoa qolganlari bilan bir martadan o'ynadi. Jami nechta
o'yin o'tkazildi?
A) 15
B) 36
C) 30
D) 12
To'g'ri javob: A) 15
✔
11-sinf Matematika (algebra va geometriya) — BSB/CHSB mashq testlari | 81

14. Aziz 4 ta ko'ylak va 3 ta shimdan bittadan tanlab kiyinmoqchi. Necha xil kiyinish varianti bor?
A) 12
B) 7
C) 81
D) 64
To'g'ri javob: A) 12✔
15. C_10^8 ni hisoblang.
A) 80
B) 10
C) 45
D) 90
To'g'ri javob: C) 45
✔
16. (a + b)⁷ yoyilmasidagi barcha binomial koeffitsiyentlar yig'indisini toping.
A) 49
B) 128
C) 256
D) 14
To'g'ri javob: B) 128
✔
17. Tekislikda istalgan uchtasi bir to'g'ri chiziqda yotmaydigan 6 ta nuqta berilgan. Uchlari shu
nuqtalarda bo'lgan nechta uchburchak mavjud?
A) 20
B) 18
C) 120
D) 15
To'g'ri javob: A) 20
✔
Bo'lim (BSB): Geometriya — Fazoda vektorlar
18. Quyidagi vektorlardan qaysi biri birlik vektor?
A) (0; −1; 0)
B) (1; 1; 1)
C) (1; 1; 0)
D) (0,5; 0,5; 0)
To'g'ri javob: A) (0; −1; 0)
✔
19. a(1; −2; 3) vektorga qarama-qarshi vektorni toping.
A) (3; −2; 1)
B) (1; −1/2; 1/3)
C) (−1; 2; −3)
D) (2; −4; 6)
To'g'ri javob: C) (−1; 2; −3)
✔
20. A(1; 2; 3) va B(4; 0; 5) nuqtalar berilgan. AB vektorning koordinatalarini toping.
A) (2,5; 1; 4)
B) (3; −2; 2)
C) (4; 0; 15)
D) (5; 2; 8)
To'g'ri javob: B) (3; −2; 2)
✔
11-sinf Matematika (algebra va geometriya) — BSB/CHSB mashq testlari | 82

Bo'lim (BSB): Algebra — Logarifmik tenglama va tengsizliklar
21. log₃(2x − 1) = log₃(x + 4) tenglamani yeching.
A) 4
B) 1
C) 5
D) 3
To'g'ri javob: C) 5✔
22. log₃ x > 2 tengsizlikni yeching.
A) 0 < x < 9
B) x > 3
C) x > 9
D) x > 6
To'g'ri javob: C) x > 9
✔
23. lg x < 1 tengsizlikni yeching.
A) x < 10
B) 0 < x < 1
C) 0 < x < 10
D) x > 0
To'g'ri javob: C) 0 < x < 10
✔
24. log₄(x + 3) = 0,5 tenglamani yeching.
A) −1/2
B) −2,5
C) 13
D) −1
To'g'ri javob: D) −1
✔
25. lg(x + 1) + lg(x − 1) = lg 3 tenglamani yeching.
A) 4
B) 3
C) 1
D) 2
To'g'ri javob: D) 2
✔
11-sinf Matematika (algebra va geometriya) — BSB/CHSB mashq testlari | 83

Javoblar kaliti
Har bir variant bo'yicha: topshiriq raqami va to'g'ri javob.
1-chorak • 1-variant (CHSB mashqi)
1- B 2- B 3- D 4- A 5- A 6- A 7- B 8- C 9- B 10- A
11- B 12- C 13- A 14- B 15- B 16- A 17- B 18- A 19- B 20- C
21- C 22- C 23- A 24- C 25- D
1-chorak • 2-variant (CHSB mashqi)
1- D 2- C 3- A 4- C 5- B 6- B 7- B 8- C 9- D 10- B
11- B 12- B 13- D 14- D 15- D 16- B 17- A 18- D 19- A 20- A
21- B 22- B 23- A 24- C 25- C
1-chorak • 3-variant (CHSB mashqi)
1- D 2- C 3- B 4- A 5- D 6- B 7- C 8- A 9- C 10- B
11- C 12- A 13- C 14- C 15- A 16- D 17- A 18- C 19- A 20- D
21- C 22- B 23- D 24- B 25- D
1-chorak • 4-variant (CHSB mashqi)
1- A 2- C 3- B 4- A 5- A 6- B 7- C 8- C 9- B 10- A
11- D 12- B 13- A 14- B 15- D 16- A 17- B 18- D 19- B 20- D
21- B 22- A 23- D 24- D 25- B
1-chorak • 5-variant (CHSB mashqi)
1- B 2- B 3- A 4- B 5- A 6- B 7- D 8- C 9- B 10- D
11- D 12- C 13- A 14- D 15- C 16- B 17- D 18- A 19- B 20- A
21- B 22- D 23- D 24- A 25- D
2-chorak • 1-variant (CHSB mashqi)
1- D 2- A 3- B 4- B 5- C 6- C 7- D 8- A 9- D 10- A
11- B 12- D 13- B 14- C 15- B 16- C 17- B 18- B 19- C 20- A
21- C 22- C 23- C 24- A 25- D
2-chorak • 2-variant (CHSB mashqi)
1- B 2- D 3- A 4- B 5- B 6- B 7- D 8- D 9- A 10- D
11- D 12- D 13- D 14- C 15- D 16- B 17- C 18- A 19- A 20- B
21- C 22- B 23- D 24- A 25- B
2-chorak • 3-variant (CHSB mashqi)
1- B 2- C 3- A 4- B 5- A 6- B 7- A 8- C 9- B 10- B
11-sinf Matematika (algebra va geometriya) — BSB/CHSB mashq testlari | 84

11- C 12- C 13- B 14- B 15- C 16- D 17- A 18- D 19- C 20- A
21- D 22- D 23- A 24- C 25- D
2-chorak • 4-variant (CHSB mashqi)
1- D 2- A 3- A 4- B 5- D 6- C 7- B 8- A 9- B 10- B
11- D 12- C 13- D 14- C 15- C 16- B 17- C 18- D 19- C 20- D
21- B 22- C 23- B 24- B 25- D
2-chorak • 5-variant (CHSB mashqi)
1- C 2- C 3- C 4- A 5- B 6- A 7- C 8- D 9- B 10- A
11- A 12- A 13- C 14- D 15- A 16- C 17- C 18- B 19- D 20- A
21- C 22- B 23- D 24- C 25- B
3-chorak • 1-variant (CHSB mashqi)
1- C 2- D 3- A 4- C 5- A 6- B 7- B 8- D 9- D 10- A
11- B 12- B 13- A 14- C 15- D 16- B 17- B 18- A 19- B 20- C
21- C 22- D 23- B 24- D 25- A
3-chorak • 2-variant (CHSB mashqi)
1- C 2- A 3- A 4- C 5- D 6- B 7- D 8- B 9- D 10- D
11- A 12- C 13- B 14- B 15- B 16- A 17- D 18- B 19- B 20- C
21- D 22- B 23- A 24- D 25- C
3-chorak • 3-variant (CHSB mashqi)
1- A 2- A 3- C 4- D 5- A 6- C 7- C 8- A 9- A 10- A
11- B 12- B 13- D 14- C 15- C 16- D 17- B 18- B 19- C 20- B
21- D 22- D 23- B 24- A 25- B
3-chorak • 4-variant (CHSB mashqi)
1- D 2- D 3- A 4- C 5- A 6- A 7- B 8- A 9- A 10- B
11- C 12- D 13- C 14- B 15- A 16- B 17- C 18- A 19- B 20- D
21- A 22- A 23- D 24- B 25- A
3-chorak • 5-variant (CHSB mashqi)
1- C 2- C 3- A 4- B 5- C 6- C 7- D 8- A 9- D 10- D
11- B 12- A 13- A 14- B 15- A 16- C 17- B 18- A 19- C 20- D
21- B 22- B 23- C 24- A 25- C
4-chorak • 1-variant (CHSB mashqi)
1- D 2- C 3- D 4- A 5- B 6- B 7- B 8- A 9- B 10- B
11-sinf Matematika (algebra va geometriya) — BSB/CHSB mashq testlari | 85

11- A 12- B 13- B 14- B 15- B 16- D 17- B 18- B 19- D 20- C
21- C 22- B 23- B 24- C 25- D
4-chorak • 2-variant (CHSB mashqi)
1- D 2- D 3- B 4- A 5- A 6- C 7- B 8- B 9- D 10- A
11- A 12- C 13- D 14- B 15- A 16- A 17- D 18- B 19- D 20- A
21- C 22- A 23- D 24- C 25- B
4-chorak • 3-variant (CHSB mashqi)
1- C 2- C 3- B 4- B 5- B 6- A 7- D 8- A 9- D 10- B
11- C 12- A 13- C 14- D 15- C 16- A 17- A 18- B 19- C 20- D
21- B 22- D 23- C 24- B 25- B
4-chorak • 4-variant (CHSB mashqi)
1- B 2- A 3- D 4- D 5- D 6- B 7- D 8- B 9- A 10- B
11- C 12- C 13- D 14- B 15- B 16- D 17- A 18- A 19- A 20- B
21- A 22- C 23- C 24- C 25- A
4-chorak • 5-variant (CHSB mashqi)
1- B 2- A 3- D 4- B 5- C 6- B 7- A 8- B 9- D 10- B
11- D 12- D 13- A 14- A 15- C 16- B 17- A 18- A 19- C 20- B
21- C 22- C 23- C 24- D 25- D
11-sinf Matematika (algebra va geometriya) — BSB/CHSB mashq testlari | 86

11-SINF MATEMATIKA (ALGEBRA VA GEOMETRIYA)

BSB va CHSB ga tayyorgarlik to'plami: 1–4-choraklar bo'yicha mashq testlari, javoblari bilan (2026–2027 o'quv yili)

20 ta variant • 500 ta topshiriq • javoblari bilan

Mashq to'plami • 2025–2026 o'quv yili

Imtihon tuzilishi va yo'riqnoma

• Ushbu tayyorgarlik to'plami 11-sinf o'quvchilari, ota-onalar, fan o'qituvchilari va repetitorlar uchun mo'ljallangan: Matematika (algebra va geometriya) fanidan BSB (bo'lim bo'yicha summativ baholash) va CHSB (choraklik summativ baholash) ga tayyorlanish uchun mashq testlari.

• Savollar 4 ta chorak bo'yicha guruhlangan; har bir chorakda 5 ta mashq varianti bor. Har bir variant ichida savollar bo'limlar (mavzular) bo'yicha ajratilgan — BSB ga tayyorlanishda kerakli bo'limni, CHSB ga tayyorlanishda esa to'liq variantni ishlang.

• To'plam: 20 ta variant, jami 500 ta mashq testi. To'g'ri javob har bir savol ostida yashil rangda, hujjat oxirida esa variantlar bo'yicha javoblar kaliti berilgan.

• Tavsiya: avval javoblarni yopib, variantni vaqt belgilab ishlang (odatda 40–45 daqiqa), so'ng kalit bilan tekshirib, xato qilgan mavzularni darslikdan qayta o'qing.

• Mavzular amaldagi o'quv dasturi va darsliklar asosida tuzilgan; choraklar bo'yicha taqsimot maktabingizdagi taqvim-mavzu rejasidan biroz farq qilishi mumkin.

• Muhim: bu mashq testlari — rasmiy BSB/CHSB topshiriqlari yoki ularning javoblari emas. Rasmiy nazorat ishlari maktabda o'tkaziladi; ushbu to'plam faqat mustaqil tayyorgarlik uchun.

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11-SINF MATEMATIKA (ALGEBRA VA GEOMETRIYA). BSB va CHSB ga tayyorgarlik to'plami: 1–4-choraklar bo'yicha mashq testlari, javoblari bilan (2026–2027 o'quv yili)

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