8-sinf algebra va geometriya nazorat daftari 2025 - Algebra - Kitoblar

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8-sinf algebra va geometriya nazorat daftari 2025

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O‘zbekiston Respublikasi
________ viloyati _________ tumani Maktabgacha
va Maktab ta’lim vazirligiga qarashli
____-sonli umumiy o‘rta maktabi
8 ≪≫ sinf o‘quvchisi
––––––––––––––––––––––––––––––––––––––––––––––––––––––––––– ning
ALGEBRA va GEOMETRIYA
fanlaridan nazorat ishi
DAFTARI

1-nazorat ishi
Sana
–––––––––––––––––––––––––––––
1. Algebraik kasrlarni qo’shing
2 a 2
3 ( a + 1 ) + 5 a 2
4 ( a + 1 )

2. Kasr bo’ling:
1) mn
k : m 2
n 2
k 3 2) a2−b2
9b2 :a+b
3b
3. Kasrni qisqartiring:
3 a 3
+ a b 2
− 6 a 2
b − 2 b 3
9 a 5
− a b 4
− 18 a 4
b + 2 b 5
4.
1
a2+4a+4
− 4
a4+4a3+4a2+ 4
a3+2a2 ifodaning son qiymatini a=0,5 bo’lganda hisoblang
5. 1
a 3 , 1
2 a 2
b va 1
3 a b 2 kasrlarni qo’shing.
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Savol № 1 2 3 4 5 Qo’shimcha savol Jami ball
Ball
Tekshirdi
2-nazorat ishi
Sana
–––––––––––––––––––––––––––––
1. Hisoblang:

√ 2 √ 2 + 1
* 4√9− 4√2 Ko’rsatma: √a∗4√b= 4√a2∗b
2. a = 125 bo’lganda
√
a : 6 √
a ifodaning son qiymatini toping:
3. a 4
3
( a − 1
3
+ a 2
3
)
a 1
4
¿ ¿ ifodani soddalashtiring
4. Hisonlang (-0,2) -3
+ (0,2) -2
– (-2) -2
5. Rarsional ko’rsatkich daraja va uning xossalari
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Savol № 1 2 3 4 5 Qo’shimcha savol Jami ball
Ball
Tekshirdi
3-nazorat ishi
Sana
–––––––––––––––––––––––––––––
1. Tengsizlikni yeching
3(x+1) ≤
x+5
2. Tenglamani yeching
8 x
4 x+13
= 1
16
3. Sonlarni taqqoslang:

( 0,88 ) 1
6
va (6
11 )
16
4. Hisoblang
1)
log 749 2) log
3 1
27 3) log
7 1
7
5. Tensizliklarni qo’shish va ko’paytirish haqida nima bilasiz.
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Savol № 1 2 3 4 5 Qo’shimcha savol Jami ball
Ball
Tekshirdi
4-nazorat ishi
Sana
–––––––––––––––––––––––––––––
1. x ning istalgan qiymatida
1
2 x( 2 x − 4 x ) ≥ ( x − 2 ) x
Tengsizlikning to’g’riligini isbotlang.
2. Tengsizlik sistemasini yeching:

{ 5 x − 7 ≤ 2 − 4 x
7 − 3 x ≥ 1 − 5 x
3. Tenglamani yeching:

(2x+1)(x+2)
x−3 = 0
4. Tenglamani yeching:

| 3
4 x − 1
2 | = 1
4
5. Sonni moduli nima?
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Savol № 1 2 3 4 5 Qo’shimcha savol Jami ball
Ball
Tekshirdi
5-nazorat ishi
Sana
–––––––––––––––––––––––––––––
1. Tenglamani yeching:
3x 2
+6x=8x 2
-15x
2. Tenglamani to’la kvadratni ajratish usuli bilan yeching:
X 2
-10x+16=0
3. Tenglamani yeching:
2x2+x
3 − 2−3x
4 = x2−6
6
4. x ning qanday qiymatlarida berilgan kasrlar bir-biriga teng bo’ladi:
4 x 2
− 3 x
3 va x 2
+ 5 x
2
5. Diskriminant formulasini yozing, va tushuntiring.
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Savol № 1 2 3 4 5 Qo’shimcha savol Jami ball
Ball
Tekshirdi
6-nazorat ishi
Sana
–––––––––––––––––––––––––––––
1. Kvadrat tenglamani yeching:
X 2
– 7x + 10 = 0
2. Tenglamani yeching:
X 4
– 5x 2
+ 4 = 0
3. Tenglamani yeching:
√x2− x + x = 2
4. Tenglamani yeching:
x + 2
x − 2 + x − 2
x + 2 = 13
6
5. Mos belgilash kiritib, tenglamani yeching:
(x+2) 4
– 2x 2
– 8x – 16 = 0 (x+2) 2
= t
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Savol № 1 2 3 4 5 Qo’shimcha savol Jami ball
Ball
Tekshirdi
7-nazorat ishi
Sana
–––––––––––––––––––––––––––––
1. Tanlanmaning o’rta qiymatini toping:
-3, -2, -1, 0, 1, 4, 5, 7, 8, 6.
2. 4, 5, 8 raqamlaridan, raqamlar takrorlanishi mumkin bo’lsa, jami nechta 3 xonalik
turli son tuzish mumkin?
3. Sportchi balandlikka 7 marta sakradi va shunday natijalarni ko’rsatdi (metr hisobida)
2,1; 1,97; 2,44; 1,85; 1,97; 1,96; 2,06.
Sportchini o’rtacha necha metr balandlikka sakragan?
4. Sayyohlik firmasi Buxoro, Samarqand, Xiva shaharlariga sayohat uyushtirmoqchi.
Bunday marshrutning jami nechta turli variant (usullari) bor?
5. O’rta qiymat, Moda, Mediana deganda nimani tushunasiz.
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Savol № 1 2 3 4 5 Qo’shimcha savol Jami ball
Ball
Tekshirdi
8-nazorat ishi
Sana
–––––––––––––––––––––––––––––
1. Ifodani soddalashtiring:
√
4 + √ 7
2. Tenglamani yeching:
6
4 x 2
− 1 − x
2 x − 1 = 5
2 x + 1
3. Soddalashtiring:

( 3√
7 − 3 √
14 + 3 √
56 ) : 3√
7

4. Hisoblang:
3
√
100 ∗ ( 0,0001 ) 0,25
+ ( 0,027 ) 1
3
∗ 7 , 1 0
− ¿
5. Tengsizliklar sistemasini yeching;

{ 5 x − 2 ≥ 6 x − 1
4 − 3 x > 2 x − 6

Javoblari
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Savol № 1 2 3 4 5 Qo’shimcha savol Jami ball
Ball

Tekshirdi
GEOMETRIYA

1-nazorat ishi
Sana
–––––––––––––––––––––––––––––––––––
1. Teng yonli uchburchakning ikki tomoni 8 va 3 ga teng. Uning uchinchi tomonini
toping.
A) 5; B) 8; D) 11; E) 9.
2. Teng yonli uchburchakning perimetri 48, yon tomoni 18 ga teng. Uning asosini
toping.
A) 18; B) 12; D) 16; E) 18.
3. Teng yonli uchburchakning perimetri 48 ga teng. Uning tomonlaridan biri 12 ga
teng bo'lsa, qolgan tomonlarini toping.
A) 12; 12; B) 16; 16; D) 18; 24; E) 18; 18.
4. Uchburchakning nechta medianasi bor?
A) Bitta. B) Ikkita. D) Uchta. E) Oltita.
5. Uchburchak bissektrisasi qanday shakl?
A) Kesma. B) Nur. D) To’g’ri chiziq. E) Nuqta.
6. Uchburchakning qaysi elementi uning tashqi sohasida yotishi mumkin?
A) Medianasi. B) Balandligi. D) Bissektrisasi. E) Diagonali.
7. Hech bir o4lchamga ega bo4lmagan geometrik shakl qaysi javobda keltirilgan?
A) kesma; B) nur; D) nuqta; E) to4g4ri chiziq.
8. Qo’shni burchaklardan biri ikkinchisidan 4 marta kichik bo’lsa, katta burchak
kichigidan necha gradus ortiq?
A) 108; B) 144; D) 104; E) 90:
9. Uchburchakning tashqi burchaklaridan biri 120 ga, shu burchakka qo’shni
bo’lmagan ichki burchaklarining ayirmasi 30 ga teng. Uchburchak ning ichki
burchaklaridan kattasini toping.
A) 70; B) 75; D) 85; E) 90.
10. Qaysi uchburchakning balandliklari uning bir uchida kesishadi?
A) Teng yonli uchburchak. B) Teng tomonli uchburchak.
D) To4g4ri burchakli uchburchak. E) Bunday uchburchak mavjud emas.

OCHIQ TEST
1. ABC uchburchakning BC tomoniga o’tkazilgan o’rta perpendikulyar AC tomonni
E nuqtada kesib o’tadi. Agar BE = 6 sm, AC = 8,4 sm bo’lsa, AE va CE kesmani
toping.
2. Perimetri 28 sm ga teng bo’lgan teng yonli uchburchakning uchinchi tomoni teng
tomonlaridan 4 sm uzun. Shu uchburchakning tomonlarini toping.
3. Vertikal burchaklarning yig4indisi 180 ga teng. Bu burchaklarni toping:
4. Soatning soat mili 30 minutda necha gradusga buriladi?
5. Ikki to4g4ri chiziqning kesishishidan hosil bo4lgan burchaklardan uchtasining
yig4indisi 200 ga teng. Burchaklardan kichigini toping:
№ 1 2 3 4 5 6 7 8 9 10
Javobi
Tekshirish
№ Javobi Tekshirish
11
12
13
14
15
1 To’g’ri javobi
2 Nato’g’ri javobi
3 Umummiy BALL
Tekshirdi

2 -nazorat ishi
Sana
–––––––––––––––––––––––––––––––––––
1. To’g’ri to’rtburchakning perimetri 40 sm ga, tomonlarining nisbati 3:5 ga teng. Shu
to’g’ri to’rtburchakning tomonlarini toping.
2. To’g’ri burchakli uchburchakning gipotenuzasi c=13 sm vakateti a=5 sm berilgan.
Uning b kateti, αva β o’tkir burchaklarini toping.
3. Ifodani soddalashtiring: (sin 2
α− cos 2 β¿ 2
+ 2sin αcosβ
4. To’g’ri burchakli uchburchakning gipotenuzasi 25 sm, katetlari o’zaro 3:4 nisbatda.
Shu uchburchakning kichik katetini toping.
5. To’g’ri burchak uchburchakning tomonlari bilan burchaklari orasidagi
munosabatlari
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Savol № 1 2 3 4 5 Qo’shimcha savol Jami ball
Ball
Tekshirdi
3-nazorat ishi
Sana
–––––––––––––––––––––––––––––––––––

1. A(-2; 3) va B(4; 0) nuqtalardan o’tuvchi to’g’ri chiziq tenglamasini tuzing.
2. Agar C(4; 9) va R=5 bo’lsa, markazi C nuqtada, radiusi R bo’lgan aylana
tenglamasini tuzing.
3. a(1;0), b(1;2) va c(1;3) vektorlar berilgan. a-b va b+c vektorlarning koordinatalarini
toping.
4. c(-1;0) va d(1;2) vektorlar berilgan 2c+3d vektorning koordinatalarini toping.
5. Vektor deganda nimani tushunasiz

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Savol № 1 2 3 4 5 Qo’shimcha savol Jami ball
Ball
Tekshirdi
4-nazorat ishi
Sana
–––––––––––––––––––––––––––––––––––

1. Trapetsiyaning asoslari 15 sm va 30 sm ga, yuzi 225 sm 2
ga teng. Shu
trapetsiyaning balandligini toping.
2. To’g’ri tortburchakning yuzi 540 sm 2
ikki tomonining nisbati 3:5 kabi. Shu to’g’ri
to’g’ri to’rtburchakning perimetrini toping.

3. Parallelogrammning yuzi 24 sm 2
. Agar uning balandliklari 3 sm 4 sm ga teng
bo’lsa, uning perimetrini toping.
4. Rombning diagonallaridan biri ikkinchisidan 1,5 marta katta, yuzi esa 27 sm 2
ga
teng. Shu rombning diagonallarini toping.
5. Trapetsiyaning yuzi nimaga teng va qoidasini yozing.
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Savol № 1 2 3 4 5 Qo’shimcha savol Jami ball
Ball
Tekshirdi
5-nazorat ishi
Sana
–––––––––––––––––––––––––––––––––––

1. AB – O markazli aylananing diametri. Agar OA = OC = AC bo’lsa, BCO
burchakni toping.
2. Aylana tashqarisida berilgan nuqtadan aylana nuqtalarigacha bo’lgan eng katta va
eng kichik masofalar mos ravishda 50 sm va 20 sm ga teng. Berilgan aylananing
radiusini toping.
3. AB va AC to’g’ri chiziqlar O markazli aylanaga B va C nuqtalarda urinadi. Agar
OAB = 30 va AB = 5 sm bo’lsa, BC ni toping.
4. AB vatar 56 li yoyni tortib turadi. Shu vatarning uchlaridan aylanaga o’tkazilgan
urinmalar bilan vatardan hosil bo’lgan burchaklarni toping.

5. Bir nuqtadan o’tkazilgan ikki urinma qanday xossaga ega.
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Savol № 1 2 3 4 5 Qo’shimcha savol Jami ball
Ball
Tekshirdi
YAKUNIY DARS
Sana
–––––––––––––––––––––––––––––––––––
1. Algebraik ifodaning son qiymatini toping.
S=(а+в)п
2 bunda a=10, b=40, n=16
A) 500 B) 400 C) 300 D) 200
2. Tenglamani yeching. 2( x – 3 ) = 3( 2 - x)
A)
32
5 B) 42
5 C) 33
5 D) 22
5
3. Hisoblang.
19 2+38 ⋅11 +11 2
19 2+11 2
A) 3,6 B)
32
3 C) 36
8 D) 82
3
4. Kvadratning uchta uchi berilgan. A ( 3; -2 ) B ( 3; 1) C ( 6; 1 ). ABCD kvadrat yasang.
D uchining koordinatalarini toping.

A) D( 6; -2) B) D( 3; -1) C) D( 0; 6) D) D( -6; -3)
5. Quyidagi nuqtalarning qaysilari y = x + 3 funksiya grafigiga tegishli.
1) ( 0; 7) 2) ( 0; 3) 3) (-1; 4) 4) ( 1; 4) 5) ( -2; -1) 6) ( -2; 1)
A) 1; 2; 3. B) 2; 4; 6. C) 2; 3; 5. D) 1; 3; 5.
6. Quyidagi nuqtalarning qaysilari y = -x + 5 funksiya grafigiga tegishli emas.
1) ( 1; 4) 2) ( -3; 8) 3) (1; 11) 4) ( 0; 5) 5) ( -1; -3) 6) ( 3; 0)
A) 1; 2; 3. B) 4; 5; 6. C) 1; 2; 4. D) 1; 4; 6.
7. y =2x-1 funksiya grafigi qaysi chorakda yotadi?
A) I, III, IV. B) I, II, IV. C) II, III, IV. D) II, III.
8. y = kx + 4 funksiya grafigi M ( 1; -3) nuqtadan o’tadi. K ni toping.
A) 8 B) 1 C) -3 D) -7
9. y = -2x + b funksiya grafigi M ( -2; 8) nuqtadan o’tadi. B ni toping.
A) 3 B) 4 C) 5 D) 6
10. y = kx + b funksiya grafigi M ( 0; 1), N ( 1; -5) nuqtalardan o’tadi. K va b ni toping.
A) k=2, b=3 B) k=3, b=2 C) k=-4, b=-1 D) k=2, b=-3
11. To’g’ri chiziq A( 0; -1) va B( 2; 5) nuqtalardan o’tadi. Uning tenglamasini yozing.
12. Ikki tomoni parallel, qolgan ikki tomoni parallel bo’lmagan to’rtburchak nomini yozing.
13. Trapetsiyaning asosidagi burchaklari 72 0
va 86 0
ga teng. Shu trapetsiyaning qolgan
burchaklarini toping.
14. Burchaklaridan biri 60 0
, kichik diagonalining uzunligi 16 sm bo’lgan romb
perimetrini toping.
15. Rombning perimetri 72 sm ga teng. Uning tomonlarini toping.

№ 1 2 3 4 5 6 7 8 9 10
Javobi
Tekshiris
h
№ Javobi Tekshirish
11
12
13
14
15
1 To’g’ri javobi
2 Nato’g’ri javobi
3 Umummiy BALL
Tekshirdi

8-sinf algebra va geometriya nazorat daftari 2025

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