Quiz about UAS MATEMATIKA KELAS XII SMK 2023

Question 1

$$Bentuk\ sederhana\ dari\ 23x(22)3\ adalah:.......$$

Accepted Answer

1518

Answer

27

Answer

28

Answer

212

Question 2

$$Banyak\ anggota\ dari\ himpunan\ penyelesaian\ SPLK\ dibawah\ ini\ ialah.a=x+7\ \ $$ $$y=x^2+4x-12$$

Accepted Answer

2

Answer

4

Answer

6

Answer

8

Question 3

$$Jika\ x=32\ dan\ y=27,\ maka\ nilai\ 5x1/53\ y\ \frac{1}{2}\ Adalah:$$

Accepted Answer

5/2

Answer

2/3

Answer

3

Answer

4

Question 4

$$Nilai\ x\ yang\ memenuhi\ persamaan\ 2\log-\frac{1}{2}.2\log3=4\log x\ adalah:$$

Accepted Answer

2

Answer

5

Answer

4

Answer

3

Question 5

$$Diketahui\log2=p,\log3=q,\ dan\log5=r.H\arg a\log1.500\ dapat\ dinyatakan\ dalam\ bentuk\ p,q,dan\ r\ yaitu:$$

Accepted Answer

2p + q + 3r

Answer

p + q + r

Answer

p + 2q + 3r

Answer

2p + 3q + 3r

Question 6

$$Hasil\ dari\ 4\log8+4\log32\ adalah\dots.$$

Accepted Answer

4

Answer

2

Answer

3

Answer

8

Question 7

$$Perhatikan\ pernyataan-pernyataan\ berikut.$$

(1) 5³ = 5 x 5 x 5

(2) 3⁶ = 6 x 6 x 6

(3) (12)⁴ = 12 x 12 x 12 x 12

(4) 2⁵= 5 x 5

$$Pernyataan\ yang\ benar\ adalah\dots.$$

Accepted Answer

B. (1) dan (3)

Answer

A. (1) dan (2)

Answer

C. (2) dan (3)

Answer

D. (3) dan (4)

Question 8

$$Nilai\ dari\sin45o, an1200,\cos1000,\ dan\sin100\ berturut-turut\ akan\ bernilai\dots.$$

Accepted Answer

Positif, negatif, negatif, dan positif

Answer

Positif, positif, positif, dan positif

Answer

Positif, negatif, positif, dan positif

Answer

Negatif, negatif, positif, dan positif

Question 9

$$Pada\ segitiga\ \ siku-siku\ PQR,\ diketahui\ panjang\ PQ=83\ cm\ dan\ QR=8\ cm.\ $$ $$Jika\ ∠\ QPR=300,\ maka\ besar\ ∠\ QRP=\dots.$$

Accepted Answer

60o

Answer

30o

Answer

45o

Answer

90o

Question 10

$$Seorang\ penjahit\ memiliki\ 120\ m\ bahan\ wol\ dengan\ 80\ m\ bahan\ dari\ katun.\ $$ $$Akan\ dapat\ dibuat\ untuk\ dua\ model\ pakaian\ yang\ seragam,\ setiap\ pakaian\ dari\ seragam\ model\ pertama\ $$ $$akan\ memerlukan\ 3\ m\ bahan\ wol\ serta\ 1\ m\ bahan\ menggunakan\ katun,\ setiap\ pakaian\ dari\ bahan\ seragam\ $$ $$model\ yang\ kedua\ memerlukan\ bahan\ 2\ m\ wol\ dan\ bahan\ 2\ m\ katun.\ Apabila\ keuntungan\ dari\ setiap\ $$ $$model\ Rp.30.000,00,\ maka\ seorang\ penjahit\ tersebut\ akan\ memproleh\ maksimum\ keuntungan\ adalah\dots\dots$$

Accepted Answer

Rp. 1.500.000,00

Answer

Rp.2.400.000,00

Answer

Rp. 1.800.000,00

Answer

Rp. 1.400.000,00

Question 11

$$Jika$$ $$x_1$$ dan $$x_2$$ $$adalah\ akar-akard\ ari\ persamaan\ kuadrat$$ $$x^2+4x-1=0$$ . $$Tentukan$$ x₁ dan x₂!

Accepted Answer

-4

Answer

4

Answer

0

Answer

5

Question 12

$$Diketahui\ fungsi$$ $$f\left(x\right)=x^2+x\ dan\ g\left(x\right)=\frac{2}{x+3}.\ tentukan\ \left(f+g\right)\left(x-3\right)!$$

Accepted Answer

$$x^2-5x+6+\frac{2}{x}$$

Answer

$$6\frac{1}{4}$$

Answer

$$5\frac{2}{5}$$

Answer

6

Question 13

$$Diketahui\ fungsi\ f\ :R\ \longrightarrow R\ dan\ g:R\longrightarrow\ R\ dengan\ ketentuan$$ $$f\left(x\right)=2x^2+2.\ Tentukan\ \left(fog\right)\left(x\right)=....$$

Accepted Answer

$$6x^2+5$$

Answer

$$6x^2-5$$

Answer

$$6x^3+5$$

Answer

$$6x^2+3$$

Question 14

$$Tentukan\ invers\ dari$$ $$f\left(x\right)=3x-1=....$$

Accepted Answer

$$\frac{x+1}{3}$$

Answer

$$\frac{x-1}{3}$$

Answer

$$\frac{-x+1}{-3}$$

Answer

$$\frac{x+1}{-3}$$

Question 15

$$Tentukan\ persamaan\ lingkaran\ dengan\ pusat\ o\ (0,0)\ yang\ berjari-jari\ 2?$$

Accepted Answer

4

Answer

5

Answer

6

Answer

3

Question 16

$$Diketahui\ jari-jari\ lingkaran$$ $$L_1$$ adalah $$r_1$$ = 9 cm, $$L_2$$ adalah $$r_2$$ = 2 cm. $$Jarak\ antara\ titik\ pusat\ lingkaran$$ $$L_1$$ dan $$L_2$$ adalah 25 cm. $$Tentukan\ panjang\ garis\ \sin ggung\ persekutuan\ luar\ kedua\ lingkaran\ tersebut?$$

Accepted Answer

24 cm

Answer

25 cm

Answer

23 cm

Answer

22 cm

Question 17

$$Diketahui\ kubus\ ABCD.EFGH\ dengan\ panjang\ rusuk\ 4\ cm.\ Hitung\ besar\ sudut\ atara\ garis\ BG?$$

Accepted Answer

$$4\sqrt[]{2}$$ cm

Answer

4 cm

Answer

5 cm

Answer

$$2\sqrt[]{2}$$ cm

Question 18

$$Hitung\ nilai\ dari$$ $$\frac{10!}{7!}!$$

Accepted Answer

630

Answer

550

Answer

620

Answer

530

Question 19

$$Hitung\ nilai\ dari$$ $$_{12}P_2!$$

Accepted Answer

132

Answer

120

Answer

133

Answer

134

Question 20

$$Hitunglah$$ $$\lim_{x\rightarrow7}\left(2x^2-6\right)=.....$$

Accepted Answer

92

Answer

29

Answer

82

Answer

102

Question 21

$$Hitunglah\ dari$$ $$\lim_{x\rightarrow2}\ \frac{x^2+4x-5}{x-1}=.....$$

Accepted Answer

7

Answer

$$\frac{0}{0}$$

Answer

$$\frac{1}{7}$$

Answer

$$-\frac{1}{7}$$

Question 22

$$Hitunglah\ dari$$ $$\lim_{x\rightarrow2}\ \frac{x^2+5x+6}{x^2-3x-10}$$ = . . . .

Accepted Answer

$$\frac{5}{-3}$$

Answer

$$\frac{5}{3}$$

Answer

$$\frac{-1}{-3}$$

Answer

$$\frac{2}{3}$$

Question 23

$$Limit\ dari$$ $$\lim_{x\rightarrow\infty}$$ $$\frac{3x}{x+1}=.......$$

Accepted Answer

2

Answer

-2

Answer

3

Answer

0

Question 24

$$\lim_{x\rightarrow\infty}\left(\sqrt[]{x+2}-\sqrt[]{x-1}\right)=.......$$

Accepted Answer

0

Answer

2

Answer

3

Answer

-2

Question 25

$$Tentukan\ nilai\ dari\ turunan$$ $$f\left(x\right)=2x^2-x+1,\ untuk\ x=2$$

Accepted Answer

7

Answer

5

Answer

6

Answer

8

Question 26

$$Sebuah\ motor\ bergerak\ dengan\ persamaan$$ $$s=t^2+5t$$ $$(s\ dalam\ meter\ dan\ t\ dalam\det ik).Tentukan\ kecepa an sesaat$$ ( $$\overline{v}$$ ) $$pada$$ t = 2

Accepted Answer

9 m/detik

Answer

7 m/detik

Answer

10 m/detik

Answer

8 m/detik

Question 27

$$Tentukan\ turunan\ dari$$ $$f\left(x\right)=5x-4,\ untuk\ x=2$$

Accepted Answer

1

Answer

-1

Answer

2

Answer

-2

Question 28

$$Turunan\ dari\ fungsi\ f(x)=20\ adalah....$$

Accepted Answer

0

Answer

10

Answer

5

Answer

1

Question 29

$$Turunan\ dari\ fungsi\ f(x)=-10x\ adalah....$$

Accepted Answer

-10

Answer

10

Answer

5

Answer

0

Question 30

$$Turunan\ dari\ fungsi$$ $$2x^{-6}-6x=.......$$

Accepted Answer

$$-12x^{-7}-6$$

Answer

$$-12x^7-6$$

Answer

$$12x^{-7}+6$$

Answer

$$-12x^{-7}+6$$

Question 31

$$Tentukan\ y$$

Accepted Answer

90000

Answer

900

Answer

9000

Answer

900000

Question 32

$$Tentukan\ nilai\ stasioner\ dari\ f(x)=x^2-6x+5=$$

Accepted Answer

-4

Answer

4

Answer

0,4

Answer

4,2

Question 33

$$Tentukan$$ $$y$$ $$dari\ fungsi$$ $$xy+x-2y-1=0$$

Accepted Answer

$$\frac{ ext{d}y}{ ext{d}x}=\frac{-1-y}{x-2}$$

Answer

$$\frac{ ext{d}y}{ ext{d}x}=\frac{1-y}{x-2}$$

Answer

$$\frac{ ext{d}y}{ ext{d}x}=\frac{-1+y}{x+2}$$

Answer

$$\frac{ ext{d}y}{ ext{d}x}=\frac{-1-y}{x+2}$$

Question 34

$$Tentukan\ nilai\ stasioner\ dari\ fungsi\ f(x)=-2x^3+3x^{2\ }pada\ interval-1/2\le x\le2$$

Accepted Answer

$$x=2$$

Answer

$$x=-2$$

Answer

$$x=1$$

Answer

$$x=10$$

Question 35

$$Hasil\ dari\int5\ dx\ adalah....$$

Accepted Answer

$$5x+c$$

Answer

$$-5x+c$$

Answer

$$5x-c$$

Answer

$$-5x-c$$

Question 36

$$Selesaikan\ integral\ dari\int5x^2dx=....$$

Accepted Answer

$$\frac{5}{3}x^3+c$$

Answer

$$-\frac{5}{3}x^3+c$$

Answer

$$-\frac{5}{3}x^3-c$$

Answer

$$-\frac{5}{3}x^2+c$$

Question 37

$$Hasil\ dari\int\frac{5}{x^4}dx=....$$

Accepted Answer

$$\frac{5}{-3}x^{-3}+c$$

Answer

4

Answer

$$\frac{5}{3}x^3+c$$

Answer

5

Question 38

$$Tentukan\ hasil\ dari\ \int8x^3-x^2+4)=....$$

Accepted Answer

$$2x^4-\frac{1}{3}x^3+4x+c$$

Answer

$$2x^4+\frac{1}{3}x^3+4x+c$$

Answer

$$2x^4-\frac{1}{3}x^3-4x+c$$

Answer

$$2x^4+\frac{1}{3}x^3-4x+c$$

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